Metrics for Bouland and Aaronson, Equation (25)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 33 to 20 computations (39.4% saved)

sample1.5s (14.4%)

Memory

31.5MiB live, 2 114.9MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 830.0ms

ival-mult: 414.0ms (49.9% of total)

ival-add: 159.0ms (19.2% of total)

ival-sub: 139.0ms (16.7% of total)

ival-pow2: 97.0ms (11.7% of total)

exact: 11.0ms (1.3% of total)

ival-true: 5.0ms (0.6% of total)

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

Bogosity

explain559.0ms (5.3%)

Memory

-13.3MiB live, 486.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
49	0	-	-	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
31	0	-	-	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`
23	0	-	-	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`
0	0	-	-	`(*.f64 a a)`
0	0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))`
0	0	-	-	`a`
0	0	-	-	`#s(literal 3 binary64)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 b b)`
0	0	-	-	`(+.f64 (.f64 a a) (.f64 b b))`
0	0	-	-	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`
0	0	-	-	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) a)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
0	0	-	-	`b`
0	1	(1.087707389869577e-270 1.5212336569466098e-162)	-	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))`
0	0	-	-	`(*.f64 #s(literal 3 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`	nan-rescue	49	0
↳	`(*.f64 b b)`	overflow	66
↳	`(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))`	overflow	156
↳	`(*.f64 a a)`	overflow	63
↳	`(+.f64 (.f64 a a) (.f64 b b))`	overflow	119
↳	`(*.f64 b b)`	overflow	66
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	81
↳	`(*.f64 a a)`	overflow	63
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	82
↳	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`	overflow	132
↳	`(.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))`	overflow	133
`+.f64`	`(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))`	nan-rescue	31	0
↳	`(.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a))`	overflow	81
↳	`(*.f64 a a)`	overflow	63
↳	`(*.f64 b b)`	overflow	66
↳	`(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))`	overflow	82

Confusion

	Predicted +	Predicted -
+	66	0
-	0	190

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	66	0	0
-	0	0	190

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	190
1	52
2	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms	460×	0	valid
42.0ms	22×	2	valid
7.0ms	30×	1	valid

Compiler

Compiled 339 to 61 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 54.0ms (56% of total)

ival-pow2: 23.0ms (23.9% of total)

ival-add: 10.0ms (10.4% of total)

ival-sub: 5.0ms (5.2% of total)

adjust: 3.0ms (3.1% of total)

ival-true: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

preprocess889.0ms (8.4%)

Memory

-0.8MiB live, 438.8MiB allocated

Algorithm

1×	egg-herbie

Rules

21 268×	`lower-fma.f64`
21 268×	`lower-fma.f32`
4 248×	`lower--.f32`
4 244×	`lower--.f64`
3 998×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	159
1	171	157
2	671	155
3	2845	155
4	6808	155
0	19	31
0	32	31
1	70	31
2	188	31
3	587	31
4	1955	31
5	3491	31
0	8062	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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

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

Symmetry

(abs b)

Compiler

Compiled 33 to 19 computations (42.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.1%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Status

Accuracy

Program

▶

74.1%

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

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify268.0ms (2.5%)

Memory

0.1MiB live, 393.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

21 268×	`lower-fma.f64`
21 268×	`lower-fma.f32`
4 248×	`lower--.f32`
4 244×	`lower--.f64`
3 998×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	151
0	32	151
1	70	151
2	188	151
3	587	151
4	1955	151
5	3491	151
0	8062	130

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

localize54.0ms (0.5%)

Memory

-7.4MiB live, 109.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12566376953688402	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
accuracy	5.188004885218074	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy	9.765625000000002	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))

Samples

28.0ms	230×	0	valid
3.0ms	11×	2	valid
3.0ms	15×	1	valid

Compiler

Compiled 153 to 21 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 11.0ms (47.3% of total)

ival-add: 5.0ms (21.5% of total)

ival-sub: 3.0ms (12.9% of total)

ival-pow2: 3.0ms (12.9% of total)

adjust: 1.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory

-10.9MiB live, 77.4MiB allocated

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

simplify278.0ms (2.6%)

Memory

24.3MiB live, 527.7MiB allocated

Algorithm

1×	egg-herbie

Rules

22 048×	`lower-fma.f64`
22 048×	`lower-fma.f32`
4 280×	`lower-*.f64`
4 280×	`lower-*.f32`
3 958×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite341.0ms (3.2%)

Memory

24.4MiB live, 496.3MiB allocated

Rules

5 620×	`lower-fma.f64`
5 620×	`lower-fma.f32`
4 066×	`lower-/.f64`
4 066×	`lower-/.f32`
3 976×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	102
0	32	102
1	145	102
2	1259	102
0	8258	82

Stop Event

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

Counts

6 → 540

Calls

Call 1

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

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

eval106.0ms (1%)

Memory: -5.1MiB live, 181.1MiB allocated
Compiler: Compiled 60 088 to 2 575 computations (95.7% saved)

prune110.0ms (1%)

Memory

-16.3MiB live, 168.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

100.0%

Counts

685 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.1%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
	37.7%	(-.f64 (+.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
▶	64.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	72.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
▶	78.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
▶	41.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b))))
▶	48.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))

Compiler

Compiled 328 to 162 computations (50.6% saved)

simplify415.0ms (3.9%)

Memory

-1.0MiB live, 391.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a a)
cost-diff	0	(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff	192	(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
cost-diff	0	(fma.f64 b b #s(literal 4 binary64))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 b b)
cost-diff	0	(.f64 b (.f64 b b))
cost-diff	0	(.f64 b (.f64 b (*.f64 b b)))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b))))
cost-diff	0	(*.f64 a a)
cost-diff	0	(.f64 a (.f64 a a))
cost-diff	0	(.f64 a (.f64 a (*.f64 a a)))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))
cost-diff	0	(fma.f64 b b #s(literal 4 binary64))
cost-diff	0	(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))
cost-diff	320	(fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))

Rules

33 860×	`lower-fma.f32`
33 842×	`lower-fma.f64`
4 338×	`lower-+.f64`
4 338×	`lower-+.f32`
3 678×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	370
0	67	358
1	164	350
2	430	350
3	1167	345
4	3200	345
5	5053	345
6	7662	345
0	8092	318

Stop Event

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

Calls

Call 1

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

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

localize138.0ms (1.3%)

Memory

20.8MiB live, 188.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a a)
accuracy	0.00390625	(fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
accuracy	0.041347509768442016	(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy	17.78303270325014	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy	0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0	(*.f64 b b)
accuracy	0.05859375	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	22.87518731405055	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	0	(*.f64 b b)
accuracy	0.05859375	(.f64 b (.f64 b b))
accuracy	0.0703125	(.f64 b (.f64 b (*.f64 b b)))
accuracy	37.68389562580026	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b))))
accuracy	0	(*.f64 a a)
accuracy	0.03515625	(.f64 a (.f64 a (*.f64 a a)))
accuracy	0.0703125	(.f64 a (.f64 a a))
accuracy	32.827644477256705	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))
accuracy	0.05078125	(fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (.f64 #s(literal 4 binary64) a))
accuracy	1.8007812500000002	(fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))
accuracy	3.300013838913357	(fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))
accuracy	10.313651957067803	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64))))

Samples

101.0ms

256×

valid

Compiler

Compiled 332 to 44 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-add: 44.0ms (52.9% of total)

ival-mult: 33.0ms (39.7% of total)

ival-pow2: 3.0ms (3.6% of total)

ival-sub: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series28.0ms (0.3%)

Memory

1.2MiB live, 37.6MiB allocated

Counts

19 → 324

Calls

Call 1

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

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

Calls

81 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
1.0ms	b	@	0	(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
1.0ms	a	@	-inf	(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
0.0ms	a	@	inf	(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))
0.0ms	a	@	0	(+ (* b (* b (+ (* b b) 4))) (+ (* a (+ (* (* b b) (+ (* 2 a) -12)) (* 4 a))) -1))

simplify292.0ms (2.7%)

Memory

-17.5MiB live, 296.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16 756×	`lower-fma.f64`
16 756×	`lower-fma.f32`
5 306×	`lower-+.f64`
5 306×	`lower-+.f32`
3 304×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	5178
1	753	5069
2	2312	4830
3	6932	4698
0	8308	4189

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

rewrite363.0ms (3.4%)

Memory

10.7MiB live, 371.4MiB allocated

Rules

5 912×	`lower-*.f32`
5 896×	`lower-*.f64`
4 962×	`lower-fma.f32`
4 944×	`lower-fma.f64`
3 666×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	332
0	67	320
1	339	312
2	2958	312
0	9291	279

Stop Event

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

Counts

19 → 465

Calls

Call 1

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

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

eval122.0ms (1.1%)

Memory: 6.0MiB live, 205.1MiB allocated
Compiler: Compiled 47 917 to 1 667 computations (96.5% saved)

prune140.0ms (1.3%)

Memory

-18.4MiB live, 182.8MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	866	9	875
Fresh	1	1	2
Picked	3	2	5
Done	0	0	0
Total	870	12	882

Accuracy

100.0%

Counts

882 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.1%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
▶	72.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
	64.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
▶	51.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
	50.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
	41.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
	48.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
▶	41.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
	48.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	41.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b))))
✓	48.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))
▶	24.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Compiler

Compiled 264 to 140 computations (47% saved)

simplify287.0ms (2.7%)

Memory

30.7MiB live, 377.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 a #s(literal 4 binary64))
cost-diff	0	(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
cost-diff	0	(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
cost-diff	0	(*.f64 b b)
cost-diff	0	(.f64 (.f64 b b) (*.f64 b b))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
cost-diff	0	#s(approx (+ (* b b) 4) #s(literal 4 binary64))
cost-diff	0	(*.f64 b b)
cost-diff	0	(fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
cost-diff	128	(+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
cost-diff	128	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
cost-diff	448	(+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))
cost-diff	1088	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))

Rules

21 984×	`lower-fma.f32`
21 976×	`lower-fma.f64`
4 166×	`lower-+.f32`
4 158×	`lower-+.f64`
3 668×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	418
0	72	418
1	142	393
2	317	389
3	798	389
4	2336	389
5	3857	389
0	8093	349

Stop Event

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

Calls

Call 1

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

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

localize105.0ms (1%)

Memory

-28.2MiB live, 176.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a a)
accuracy	0.00390625	(fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
accuracy	0.041347509768442016	(fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
accuracy	17.78303270325014	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
accuracy	0	(*.f64 b b)
accuracy	0.13509750976844204	(.f64 (.f64 b b) (*.f64 b b))
accuracy	37.68389562580026	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
accuracy	0	(*.f64 b b)
accuracy	0.05859375	(fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	22.87518731405055	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	28.87739684983742	#s(approx (+ (* b b) 4) #s(literal 4 binary64))
accuracy	22.87518731405055	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
accuracy	29.998828733609546	#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
accuracy	0.4963042512263598	(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
accuracy	5.188004885218074	(.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))
accuracy	9.765625000000002	(+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))

Samples

47.0ms	230×	0	valid
6.0ms	11×	2	valid
6.0ms	15×	1	valid

Compiler

Compiled 383 to 34 computations (91.1% saved)

Precisions

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

ival-mult: 15.0ms (37.7% of total)

ival-add: 11.0ms (27.6% of total)

ival-sub: 4.0ms (10.1% of total)

ival-pow2: 4.0ms (10.1% of total)

adjust: 3.0ms (7.5% of total)

ival-div: 3.0ms (7.5% of total)

exact: 1.0ms (2.5% of total)

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

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

series21.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

19 → 348

Calls

Call 1

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

Outputs
#s(alt (pow b 4) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor inf b) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor -inf b) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor -inf b) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor -inf b) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- 1 (* 3 a))) (taylor -inf b) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a (pow b 2))) (pow b 2)) (taylor 0 a) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a (pow b 2))) (pow b 2)) (taylor 0 a) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (* a (pow b 2))) (pow b 2)) (taylor 0 a) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a (pow b 2))) (taylor inf a) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) (taylor inf a) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) (taylor inf a) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -3 (pow b 2)) (/ (pow b 2) a))) (taylor inf a) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -3 (* a (pow b 2))) (taylor -inf a) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))))) (taylor -inf a) (#s(alt (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) (patch (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 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 (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 (pow a 2) (taylor -inf a) (#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())) ())

Calls

87 calls:

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

simplify338.0ms (3.2%)

Memory

-12.4MiB live, 395.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18 734×	`lower-fma.f64`
18 734×	`lower-fma.f32`
4 364×	`lower-+.f64`
4 364×	`lower-+.f32`
3 882×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	5780
1	880	5605
2	2613	5396
3	7765	5396
0	8455	4929

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 346

Calls

Call 1

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

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

rewrite376.0ms (3.5%)

Memory

7.9MiB live, 363.9MiB allocated

Rules

5 098×	`lower-*.f32`
5 084×	`lower-*.f64`
3 672×	`lower-fma.f32`
3 664×	`lower-fma.f64`
3 242×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	353
0	72	349
1	308	324
2	2675	324
0	8430	281

Stop Event

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

Counts

19 → 701

Calls

Call 1

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

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

eval244.0ms (2.3%)

Memory: 16.5MiB live, 207.8MiB allocated
Compiler: Compiled 86 092 to 3 226 computations (96.3% saved)

prune216.0ms (2%)

Memory

-4.3MiB live, 202.8MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1 159	3	1 162
Fresh	0	5	5
Picked	1	4	5
Done	0	2	2
Total	1 160	14	1 174

Accuracy

100.0%

Counts

1 174 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
✓	72.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
▶	29.9%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64)))) #s(literal 64 binary64)) (-.f64 (fma.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 a a) #s(literal -1 binary64)))
▶	64.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
✓	51.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	50.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
	71.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* a (+ a 4)) 4) (.f64 a (+.f64 #s(literal 4 binary64) a))) (.f64 a a) #s(literal -1 binary64)))
▶	41.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
	48.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
✓	41.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
	48.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	41.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b))))
✓	48.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))
✓	24.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Compiler

Compiled 321 to 159 computations (50.5% saved)

simplify289.0ms (2.7%)

Memory

-9.7MiB live, 248.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
cost-diff	5504	(pow.f64 b #s(literal 4 binary64))
cost-diff	128	(*.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
cost-diff	128	(.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64))))
cost-diff	128	(*.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64)))
cost-diff	704	(-.f64 (fma.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))
cost-diff	0	(fma.f64 b b #s(literal 4 binary64))
cost-diff	0	(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
cost-diff	0	(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
cost-diff	0	(*.f64 a a)
cost-diff	0	(fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 a a (*.f64 b b))
cost-diff	128	(+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))))
cost-diff	128	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
cost-diff	1088	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))

Rules

15 812×	`lower-fma.f32`
15 798×	`lower-fma.f64`
4 352×	`lower-+.f32`
4 348×	`lower-+.f64`
2 812×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	609
0	90	563
1	190	542
2	454	522
3	1604	522
4	5809	518
0	8054	472

Stop Event

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

Calls

Call 1

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

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

localize233.0ms (2.2%)

Memory

-15.2MiB live, 207.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 b #s(literal 4 binary64))
accuracy	37.68389562580026	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
accuracy	0.0703125	(.f64 a (.f64 a a))
accuracy	12.554687500000002	(-.f64 (fma.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))
accuracy	17.78303270325014	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64)))) #s(literal 64 binary64)) (-.f64 (fma.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 a a) #s(literal -1 binary64)))
accuracy	24.379201511712157	(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64)))) #s(literal 64 binary64)) (-.f64 (fma.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))))
accuracy	0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0.02734375	(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))
accuracy	0.02734375	(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
accuracy	22.87518731405055	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
accuracy	0	(*.f64 a a)
accuracy	0.041347509768442016	(fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	17.78303270325014	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	32.341127645585985	#s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64))
accuracy	0.11328125	(/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))))
accuracy	0.4963042512263598	(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
accuracy	9.765625000000002	(+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))))
accuracy	34.367437790559585	#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b))

Samples

152.0ms

256×

valid

Compiler

Compiled 540 to 53 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-add: 41.0ms (42.5% of total)

ival-mult: 41.0ms (42.5% of total)

ival-div: 4.0ms (4.1% of total)

ival-sub: 4.0ms (4.1% of total)

ival-pow: 3.0ms (3.1% of total)

ival-pow2: 3.0ms (3.1% of total)

exact: 1.0ms (1% of total)

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

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

series40.0ms (0.4%)

Memory

-4.1MiB live, 34.4MiB allocated

Counts

23 → 396

Calls

Call 1

Inputs
#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)))) (patch (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (fma.f64 a a (.f64 b b)) (patch (fma.f64 a a (.f64 b b)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)) (patch (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 a a) (patch (.f64 a a) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) (patch #s(approx (+ (* a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)) (patch (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 b (fma.f64 b b #s(literal 4 binary64))) (patch (.f64 b (fma.f64 b b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (patch (-.f64 (fma.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64))) (patch (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) (patch (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (patch (.f64 (+.f64 a #s(literal 4 binary64)) #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 #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b)) (patch #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64)))) #s(literal 64 binary64)) (-.f64 (fma.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (patch (/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64)))) #s(literal 64 binary64)) (-.f64 (fma.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64)))) #s(literal 64 binary64)) (-.f64 (fma.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (.f64 a a) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64)))) #s(literal 64 binary64)) (-.f64 (fma.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 a a) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 a (.f64 a a)) (patch (.f64 a (.f64 a a)) #<representation binary64>) () ())

Outputs
#s(alt (pow b 4) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<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 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<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 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (patch (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64)))) #s(literal 64 binary64)) (-.f64 (fma.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (.f64 a a) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64)))) #s(literal 64 binary64)) (-.f64 (fma.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 a (+.f64 a #s(literal 4 binary64)))) #s(literal 16 binary64)) (.f64 a (.f64 (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))))) (*.f64 a a) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (pow a 3) (taylor -inf a) (#s(alt (.f64 a (.f64 a a)) (patch (.f64 a (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (pow a 3) (taylor -inf a) (#s(alt (.f64 a (.f64 a a)) (patch (.f64 a (.f64 a a)) #<representation binary64>) () ())) ())

Calls

99 calls:

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

simplify403.0ms (3.8%)

Memory

31.5MiB live, 371.5MiB allocated

Algorithm

1×	egg-herbie

Rules

23 698×	`lower-fma.f64`
23 698×	`lower-fma.f32`
5 726×	`lower-+.f64`
5 726×	`lower-+.f32`
4 620×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	6154
1	1078	6018
2	3099	5810
0	8540	5303

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* 4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 4 (/ 1 (pow a 2))) a)) 4) a))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
16
(+ 16 (* -16 a))
(+ 16 (* a (- (* 12 a) 16)))
(+ 16 (* a (- (* a (+ 12 (* 8 a))) 16)))
(pow a 4)
(* (pow a 4) (+ 1 (* 8 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 8 (/ 1 a)) (/ 12 (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 8 (/ 1 a)) (/ 12 (pow a 2)))) (* 16 (/ 1 (pow a 3)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 8 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 8 (/ 1 a)) (/ 12 (pow a 2)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 12 (* 16 (/ 1 a))) a)) 8) a))))
16
(+ 16 (* 8 a))
(+ 16 (* a (+ 8 a)))
(+ 16 (* a (+ 8 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 8 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 8 (/ 1 a)) (/ 16 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 8 (/ 1 a)) (/ 16 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 8 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 8 (/ 1 a)) (/ 16 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 8 (/ 1 a)) (/ 16 (pow a 2)))))
(* 16 a)
(* a (+ 16 (* 8 a)))
(* a (+ 16 (* a (+ 8 a))))
(* a (+ 16 (* a (+ 8 a))))
(pow a 3)
(* (pow a 3) (+ 1 (* 8 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 8 (/ 1 a)) (/ 16 (pow a 2)))))
(* (pow a 3) (+ 1 (+ (* 8 (/ 1 a)) (/ 16 (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (* 8 (/ 1 a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 8 (* 16 (/ 1 a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 8 (* 16 (/ 1 a))) a)) 1)))
16
(+ 16 (* 4 a))
(+ 16 (* 4 a))
(+ 16 (* 4 a))
(* 4 a)
(* a (+ 4 (* 16 (/ 1 a))))
(* a (+ 4 (* 16 (/ 1 a))))
(* a (+ 4 (* 16 (/ 1 a))))
(* 4 a)
(* a (+ 4 (* 16 (/ 1 a))))
(* a (+ 4 (* 16 (/ 1 a))))
(* a (+ 4 (* 16 (/ 1 a))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 2)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(* (pow a 2) (+ 1 a))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 a)))
(+ 4 (* a (+ 4 a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)

Outputs
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(.f64 (.f64 b b) (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (.f64 (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a))) b) b (.f64 a (.f64 a (.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (.f64 (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a))) b) b (.f64 a (.f64 a (.f64 a a))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (/.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 a (.f64 a a)))))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(.f64 (.f64 a a) (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (.f64 (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a))) b) b (.f64 a (.f64 a (.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (.f64 (fma.f64 b b (.f64 #s(literal 2 binary64) (.f64 a a))) b) b (.f64 a (.f64 a (.f64 a a))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+.f64 (fma.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 b b) (.f64 a a)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 1 binary64)))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 a a))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b))) #s(literal -1 binary64)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (.f64 b b)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (.f64 b b)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b))))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (.f64 b b)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (.f64 b b)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b))))))
(+ (* 4 (pow b 2)) (pow b 4))
(.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(.f64 (.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) (.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64)))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(fma.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 b b) (.f64 a a)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 1 binary64)))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 a a)))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 b (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)))) (.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 b (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a a) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 b b)))) (.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
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(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
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(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
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(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
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(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
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(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
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-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 b b)) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b)))))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
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(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
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(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
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(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
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(pow b 3)
(.f64 b (.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
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(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(.f64 b (.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
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(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
16
#s(literal 16 binary64)
(+ 16 (* -16 a))
(fma.f64 a #s(literal -16 binary64) #s(literal 16 binary64))
(+ 16 (* a (- (* 12 a) 16)))
(fma.f64 a (fma.f64 a #s(literal 12 binary64) #s(literal -16 binary64)) #s(literal 16 binary64))
(+ 16 (* a (- (* a (+ 12 (* 8 a))) 16)))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 8 binary64) #s(literal 12 binary64)) #s(literal -16 binary64)) #s(literal 16 binary64))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 8 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 8 (/ 1 a)) (/ 12 (pow a 2)))))
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(* (pow a 4) (- (+ 1 (+ (* 8 (/ 1 a)) (/ 12 (pow a 2)))) (* 16 (/ 1 (pow a 3)))))
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(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 8 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 8 (/ 1 a)) (/ 12 (pow a 2)))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) a) (/.f64 #s(literal 12 binary64) (*.f64 a a)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (- 12 (* 16 (/ 1 a))) a)) 8) a))))
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16
#s(literal 16 binary64)
(+ 16 (* 8 a))
(fma.f64 a #s(literal 8 binary64) #s(literal 16 binary64))
(+ 16 (* a (+ 8 a)))
(fma.f64 a (+.f64 a #s(literal 8 binary64)) #s(literal 16 binary64))
(+ 16 (* a (+ 8 a)))
(fma.f64 a (+.f64 a #s(literal 8 binary64)) #s(literal 16 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 8 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal 8 binary64) a) a))
(* (pow a 2) (+ 1 (+ (* 8 (/ 1 a)) (/ 16 (pow a 2)))))
(.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 8 binary64) a) (/.f64 #s(literal 16 binary64) (.f64 a a))) a))
(* (pow a 2) (+ 1 (+ (* 8 (/ 1 a)) (/ 16 (pow a 2)))))
(.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 8 binary64) a) (/.f64 #s(literal 16 binary64) (.f64 a a))) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 8 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal 8 binary64) a) a))
(* (pow a 2) (+ 1 (+ (* 8 (/ 1 a)) (/ 16 (pow a 2)))))
(.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 8 binary64) a) (/.f64 #s(literal 16 binary64) (.f64 a a))) a))
(* (pow a 2) (+ 1 (+ (* 8 (/ 1 a)) (/ 16 (pow a 2)))))
(.f64 a (fma.f64 a (+.f64 (/.f64 #s(literal 8 binary64) a) (/.f64 #s(literal 16 binary64) (.f64 a a))) a))
(* 16 a)
(*.f64 a #s(literal 16 binary64))
(* a (+ 16 (* 8 a)))
(*.f64 a (fma.f64 a #s(literal 8 binary64) #s(literal 16 binary64)))
(* a (+ 16 (* a (+ 8 a))))
(*.f64 a (fma.f64 a (+.f64 a #s(literal 8 binary64)) #s(literal 16 binary64)))
(* a (+ 16 (* a (+ 8 a))))
(*.f64 a (fma.f64 a (+.f64 a #s(literal 8 binary64)) #s(literal 16 binary64)))
(pow a 3)
(.f64 a (.f64 a a))
(* (pow a 3) (+ 1 (* 8 (/ 1 a))))
(.f64 (.f64 a a) (+.f64 a #s(literal 8 binary64)))
(* (pow a 3) (+ 1 (+ (* 8 (/ 1 a)) (/ 16 (pow a 2)))))
(fma.f64 a (.f64 a #s(literal 8 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (.f64 a a))) (.f64 a (*.f64 a a))))
(* (pow a 3) (+ 1 (+ (* 8 (/ 1 a)) (/ 16 (pow a 2)))))
(fma.f64 a (.f64 a #s(literal 8 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (.f64 a a))) (.f64 a (*.f64 a a))))
(pow a 3)
(.f64 a (.f64 a a))
(* (pow a 3) (+ 1 (* 8 (/ 1 a))))
(.f64 (.f64 a a) (+.f64 a #s(literal 8 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 8 (* 16 (/ 1 a))) a)) 1)))
(.f64 (.f64 a (*.f64 a a)) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) a)) a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 8 (* 16 (/ 1 a))) a)) 1)))
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16
#s(literal 16 binary64)
(+ 16 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))
(+ 16 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))
(+ 16 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* 16 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))
(* a (+ 4 (* 16 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))
(* a (+ 4 (* 16 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* 16 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))
(* a (+ 4 (* 16 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))
(* a (+ 4 (* 16 (/ 1 a))))
(fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (fma.f64 #s(literal 4 binary64) a (.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)))) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+.f64 (fma.f64 (.f64 a a) (fma.f64 b (.f64 b #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))) (.f64 (.f64 b b) (fma.f64 b b (fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (/.f64 #s(literal 4 binary64) a) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 b b) (.f64 a a)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 1 binary64)))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a)))))
(pow a 4)
(.f64 a (.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(.f64 (.f64 a (.f64 a (.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (.f64 a a) (fma.f64 a (+.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) (fma.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 a a))) #s(literal -1 binary64)))
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(pow b 4)
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(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
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4
#s(literal 4 binary64)
(+ 4 (* 4 a))
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(+ 4 (* a (+ 4 a)))
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(pow a 2)
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(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
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(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
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(pow a 2)
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(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
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(* (pow a 2) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
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(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
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(pow a 4)
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(pow a 4)
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(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (.f64 b b)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (.f64 b b)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b))))))
(pow b 4)
(.f64 b (.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b b)) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (.f64 b b)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(.f64 (.f64 b (.f64 b (.f64 b b))) (+.f64 (fma.f64 (.f64 a a) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 b b)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a a) (/.f64 (.f64 a a) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (fma.f64 a #s(literal -3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (.f64 b b)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b (.f64 b b))))))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))

rewrite444.0ms (4.2%)

Memory

-2.9MiB live, 487.8MiB allocated

Rules

7 720×	`lower-*.f32`
7 698×	`lower-*.f64`
6 432×	`lower-fma.f32`
6 418×	`lower-fma.f64`
3 774×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	463
0	90	413
1	419	363
2	3613	363
0	11007	320

Stop Event

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

Counts

23 → 607

Calls

Call 1

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

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

eval184.0ms (1.7%)

Memory: -4.9MiB live, 238.1MiB allocated
Compiler: Compiled 48 291 to 3 115 computations (93.5% saved)

prune153.0ms (1.4%)

Memory

9.3MiB live, 285.1MiB allocated

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	1 114	3	1 117
Fresh	1	2	3
Picked	2	3	5
Done	0	6	6
Total	1 117	14	1 131

Accuracy

100.0%

Counts

1 131 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.4%	(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( a a) (* b b)) (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
	40.8%	(-.f64 (+.f64 (/.f64 (.f64 (fma.f64 a a (.f64 b b)) (.f64 (fma.f64 a a (.f64 b b)) (.f64 (+.f64 a b) (-.f64 a b)))) (.f64 (+.f64 a b) (-.f64 a b))) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
✓	72.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
	9.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (+.f64 a #s(literal 4 binary64)) (.f64 (+.f64 a #s(literal 4 binary64)) (+.f64 a #s(literal 4 binary64)))) #s(literal 64 binary64)) #s(approx (- (+ (* a (* (+ a 4) (* a (+ a 4)))) 16) (* a (* (+ a 4) 4))) (.f64 a (.f64 a (.f64 a a))))) (.f64 a a) #s(literal -1 binary64)))
✓	64.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64)))
✓	51.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	50.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 a) 4)) #s(literal 4 binary64)) #s(literal -1 binary64)))
	71.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 #s(approx (+ (* a (+ a 4)) 4) (.f64 a (+.f64 #s(literal 4 binary64) a))) (.f64 a a) #s(literal -1 binary64)))
✓	41.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
✓	41.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 b b) (*.f64 b b)))
	48.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	41.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 b (.f64 b (*.f64 b b))))
✓	48.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))
✓	24.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Compiler

Compiled 632 to 186 computations (70.6% saved)

regimes38.0ms (0.4%)

Memory

-20.1MiB live, 60.1MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`a`
99.5%	1	`b`
99.5%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
99.5%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
99.5%	1	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes24.0ms (0.2%)

Memory

4.1MiB live, 42.0MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

7.0ms	a
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 1 binary64) (.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 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
97.3%	3	`a`
98.8%	2	`b`
82.1%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
82.1%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
98.8%	2	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes9.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.8%	3	`b`
98.8%	3	`(*.f64 b b)`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes16.0ms (0.1%)

Memory

-7.0MiB live, 28.9MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms	(*.f64 b b)
4.0ms	b
4.0ms	a

Results

Accuracy	Segments	Branch
97.3%	3	`a`
95.0%	2	`b`
95.0%	2	`(*.f64 b b)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.2%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory

-27.0MiB live, 17.3MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

7.0ms	b
3.0ms	a
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
80.8%	3	`b`
80.8%	3	`(*.f64 b b)`
87.4%	3	`a`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
87.4%	3	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

Results

Accuracy	Segments	Branch
71.9%	2	`b`
71.9%	2	`(*.f64 b b)`
58.1%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
58.1%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
71.6%	3	`a`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes9.0ms (0.1%)

Memory

-21.1MiB live, 18.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
50.6%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
50.6%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
50.6%	1	`a`
50.6%	1	`b`
50.6%	1	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

regimes7.0ms (0.1%)

Memory

16.2MiB live, 16.1MiB 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
24.6%	1	`a`
24.6%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))`
24.6%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (.f64 a a) (+.f64 #s(literal 1 binary64) a)) (.f64 (.f64 b b) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) a))))))`
24.6%	1	`b`
24.6%	1	`(*.f64 b b)`

Compiler

Compiled 75 to 44 computations (41.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.8181476331264395	26133695025419.887

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.786091379614807e+302	+inf
0.0ms	3.8181476331264395	26133695025419.887

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch43.0ms (0.4%)

Memory

-1.1MiB live, 78.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	192463147335055550.0	3.96920428517722e+24
19.0ms	-247175111545337300.0	-44690436653.398895

Samples

27.0ms

288×

valid

Compiler

Compiled 468 to 266 computations (43.2% saved)

Precisions

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

ival-mult: 9.0ms (44.7% of total)

ival-add: 5.0ms (24.8% of total)

ival-sub: 3.0ms (14.9% of total)

ival-pow2: 3.0ms (14.9% 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

2.0MiB live, 2.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	192463147335055550.0	3.96920428517722e+24
1.0ms	-247175111545337300.0	-44690436653.398895

Compiler

Compiled 468 to 266 computations (43.2% saved)

bsearch40.0ms (0.4%)

Memory

-5.3MiB live, 48.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	192463147335055550.0	3.96920428517722e+24
19.0ms	-247175111545337300.0	-44690436653.398895

Samples

26.0ms

256×

valid

Compiler

Compiled 432 to 248 computations (42.6% saved)

Precisions

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

ival-mult: 8.0ms (39.1% of total)

ival-sub: 5.0ms (24.4% of total)

ival-add: 4.0ms (19.6% of total)

ival-pow2: 2.0ms (9.8% 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	192463147335055550.0	3.96920428517722e+24
1.0ms	-247175111545337300.0	-44690436653.398895

Compiler

Compiled 432 to 257 computations (40.5% saved)

bsearch31.0ms (0.3%)

Memory

-21.2MiB live, 18.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	4.786091379614807e+302	+inf

Samples

23.0ms

144×

valid

Compiler

Compiled 214 to 140 computations (34.6% saved)

Precisions

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

ival-mult: 15.0ms (75.4% of total)

ival-add: 2.0ms (10% of total)

ival-sub: 1.0ms (5% of total)

ival-pow2: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`*-commutative_binary64`
6×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	994
1	109	994
2	113	994
3	120	994

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 5 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))) (-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 5 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))) (if (<=.f64 (.f64 b b) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -14500000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 a #s(literal 950000000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -14500000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 a #s(literal 950000000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -650000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 a #s(literal 195000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -650000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 a #s(literal 195000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 (.f64 b b) #s(literal 42000000000000001658624858157331014524830397886574115101931243080600710771591171907935733292346208808580504156864313110162336025687615983481351736899377535776637178062130723609996349444478600708724754342407092804531311049735791370602284575302939365744882428540975948848495101340600931760064549138687099666432 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 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) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64))
(+.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ ( (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal -1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 5 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))) (-.f64 (+.f64 (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (.f64 b b)))) (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 b b)))) #s(literal 1 binary64)))
(if (<=.f64 (.f64 b b) #s(literal 5 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (.f64 b b))) (/.f64 (fma.f64 a a (.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 b b)))))))
(if (<=.f64 (.f64 b b) #s(literal 5 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))) (if (<=.f64 (.f64 b b) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (.f64 #s(literal 4 binary64) a)) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 5 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 a (+.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 a a) #s(literal -1 binary64))) (if (<=.f64 (.f64 b b) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 b (.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 a (fma.f64 (.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -14500000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 a #s(literal 950000000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b (fma.f64 b b #s(literal 4 binary64))) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -14500000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 a #s(literal 950000000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -650000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 (.f64 a a) (.f64 a a))) (if (<=.f64 a #s(literal 195000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 a #s(literal -650000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (.f64 a a)))) (if (<=.f64 a #s(literal 195000000000000000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (.f64 a (.f64 a (*.f64 a a))))))
(if (<=.f64 (.f64 b b) #s(literal 42000000000000001658624858157331014524830397886574115101931243080600710771591171907935733292346208808580504156864313110162336025687615983481351736899377535776637178062130723609996349444478600708724754342407092804531311049735791370602284575302939365744882428540975948848495101340600931760064549138687099666432 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 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) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (.f64 a a) #s(approx (+ ( a a) (+ (* 4 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

soundness1.3s (12.2%)

Memory

21.0MiB live, 932.6MiB allocated

Rules

23 698×	`lower-fma.f64`
23 698×	`lower-fma.f32`
22 048×	`lower-fma.f64`
22 048×	`lower-fma.f32`
18 734×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	5780
1	880	5605
2	2613	5396
3	7765	5396
0	8455	4929
0	342	6154
1	1078	6018
2	3099	5810
0	8540	5303
0	19	102
0	32	102
1	145	102
2	1259	102
0	8258	82
0	232	5178
1	753	5069
2	2312	4830
3	6932	4698
0	8308	4189
0	43	332
0	67	320
1	339	312
2	2958	312
0	9291	279
0	185	2332
1	600	2246
2	1837	2184
3	5819	2098
0	8170	1858

Stop Event

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

Compiler

Compiled 879 to 333 computations (62.1% saved)

preprocess65.0ms (0.6%)

Memory: -19.6MiB live, 137.7MiB allocated
Remove: (abs b)
Compiler: Compiled 742 to 208 computations (72% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (14.4%)

explain559.0ms (5.3%)

preprocess889.0ms (8.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify268.0ms (2.5%)

localize54.0ms (0.5%)

series44.0ms (0.4%)

simplify278.0ms (2.6%)

rewrite341.0ms (3.2%)

eval106.0ms (1%)

prune110.0ms (1%)

simplify415.0ms (3.9%)

localize138.0ms (1.3%)

series28.0ms (0.3%)

simplify292.0ms (2.7%)

rewrite363.0ms (3.4%)

eval122.0ms (1.1%)

prune140.0ms (1.3%)

simplify287.0ms (2.7%)

localize105.0ms (1%)

series21.0ms (0.2%)

simplify338.0ms (3.2%)

rewrite376.0ms (3.5%)

eval244.0ms (2.3%)

prune216.0ms (2%)

simplify289.0ms (2.7%)

localize233.0ms (2.2%)

series40.0ms (0.4%)

simplify403.0ms (3.8%)

rewrite444.0ms (4.2%)

eval184.0ms (1.7%)

prune153.0ms (1.4%)

regimes38.0ms (0.4%)

regimes24.0ms (0.2%)

regimes9.0ms (0.1%)

regimes16.0ms (0.1%)

regimes4.0ms (0%)

regimes13.0ms (0.1%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch43.0ms (0.4%)

bsearch2.0ms (0%)

bsearch40.0ms (0.4%)

bsearch2.0ms (0%)

bsearch31.0ms (0.3%)

simplify12.0ms (0.1%)

soundness1.3s (12.2%)

preprocess65.0ms (0.6%)

end0.0ms (0%)

Profiling