Metrics for Bouland and Aaronson, Equation (26)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.1s (14.7%)

Memory

49.8MiB live, 1 345.4MiB allocated

Samples

818.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 580.0ms

ival-mult: 182.0ms (31.4% of total)

ival-pow2: 156.0ms (26.9% of total)

ival-add: 123.0ms (21.2% of total)

ival-sub: 101.0ms (17.4% of total)

exact: 9.0ms (1.6% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain187.0ms (2.4%)

Memory

-16.1MiB live, 382.5MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

48.0ms

512×

valid

Compiler

Compiled 213 to 52 computations (75.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 14.0ms (51.7% of total)

ival-pow2: 5.0ms (18.5% of total)

ival-add: 4.0ms (14.8% of total)

ival-sub: 2.0ms (7.4% of total)

exact: 1.0ms (3.7% of total)

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

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

preprocess278.0ms (3.6%)

Memory

24.0MiB live, 217.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	87
1	78	87
2	193	85
3	610	85
4	2137	85
5	5804	85
0	12	17
0	19	17
1	32	17
2	50	17
3	143	17
4	426	17
5	1201	17
6	2310	17
7	5528	17
8	7578	17
0	8053	15

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 b b))) #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 b b))) #s(literal 1 binary64))

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

Symmetry

(abs b)

(abs a)

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify173.0ms (2.2%)

Memory

9.8MiB live, 242.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
cost-diff	0	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
cost-diff	128	(+.f64 (.f64 a a) (.f64 b b))
cost-diff	128	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
0	19	64
1	32	64
2	50	64
3	143	64
4	426	64
5	1201	64
6	2310	64
7	5528	64
8	7578	64
0	8053	58

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

localize76.0ms (1%)

Memory

-37.8MiB live, 48.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 b b)
accuracy	0	(*.f64 a a)
accuracy	0.0078125	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.15625	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Samples

68.0ms

256×

valid

Compiler

Compiled 130 to 26 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (45.3% of total)

ival-pow2: 3.0ms (27.2% of total)

ival-add: 2.0ms (18.1% of total)

ival-sub: 1.0ms (9.1% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

7 → 132

Calls

Call 1

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

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

6 calls:

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

simplify205.0ms (2.6%)

Memory

18.9MiB live, 170.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	1452
1	240	1448
2	671	1416
3	3126	1332
4	7138	1332
0	8161	1196

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite274.0ms (3.5%)

Memory

-10.8MiB live, 280.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
0	19	59
1	77	59
2	604	59
0	8066	49

Stop Event

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

Counts

7 → 536

Calls

Call 1

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

Outputs
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eval133.0ms (1.7%)

Memory: 12.4MiB live, 197.7MiB allocated
Compiler: Compiled 22 884 to 1 849 computations (91.9% saved)

prune19.0ms (0.2%)

Memory

-7.5MiB live, 68.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	678	8	686
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	679	8	687

Accuracy

100.0%

Counts

687 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.3%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 b b)) b) b)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
▶	70.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
	81.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) #s(literal 1 binary64))
▶	70.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
	47.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
▶	44.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
	59.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
▶	66.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))

Compiler

Compiled 184 to 142 computations (22.8% saved)

simplify271.0ms (3.5%)

Memory

-15.4MiB live, 247.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b b)
cost-diff	0	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
cost-diff	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff	6144	(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
cost-diff	0	(pow.f64 a #s(literal 4 binary64))
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
cost-diff	0	(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
cost-diff	0	(.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
cost-diff	0	(.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
cost-diff	0	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
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 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 b b)) b) b)
cost-diff	0	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 b b)) b) b))
cost-diff	0	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 b b)) b) b)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
cost-diff	128	(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 b b)) b) b)) (.f64 #s(literal 4 binary64) (.f64 b b)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	342
0	57	342
1	99	342
2	162	342
3	342	342
4	695	342
5	1443	342
6	2586	342
7	6077	342
8	7720	342
0	8027	327

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.4%)

Memory

-12.7MiB live, 186.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
accuracy	0	(*.f64 b b)
accuracy	0.015625	(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy	21.699105976285555	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
accuracy	0	(pow.f64 a #s(literal 4 binary64))
accuracy	35.33041569005659	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
accuracy	0	(*.f64 a a)
accuracy	1.26447932680042	(.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
accuracy	4.472602346755444	(.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
accuracy	27.40892591065036	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
accuracy	0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0	(*.f64 b b)
accuracy	0.08984375	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	18.645392915884702	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	0.0078125	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	1.29182307680042	(.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 b b)) b) b)
accuracy	4.503852346755444	(.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
accuracy	16.239964171280523	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (.f64 b b)) b) b))

Samples

86.0ms

256×

valid

Compiler

Compiled 507 to 59 computations (88.4% saved)

Precisions

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

ival-mult: 43.0ms (69.5% of total)

ival-add: 10.0ms (16.2% of total)

ival-pow: 5.0ms (8.1% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.4%)

Memory

-5.9MiB live, 72.1MiB allocated

Counts

20 → 396

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* a a) 2) (* b b)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (* (* a a) 2) (* b b)) b) (* 4 (* b b)) (* a a))
3.0ms	a	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* a a) 2) (* b b)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (* (* a a) 2) (* b b)) b) (* 4 (* b b)) (* a a))
2.0ms	b	@	-inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* a a) 2) (* b b)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (* (* a a) 2) (* b b)) b) (* 4 (* b b)) (* a a))
2.0ms	b	@	inf	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* a a) 2) (* b b)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (* (* a a) 2) (* b b)) b) (* 4 (* b b)) (* a a))
2.0ms	b	@	0	((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* a a) 2) (* b b)) b) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (* (* a a) 2) (* b b)) b) (* 4 (* b b)) (* a a))

simplify235.0ms (3%)

Memory

29.7MiB live, 389.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	5686
1	394	5654
2	1154	5434
3	4595	5210
4	6654	5210
0	8016	4733

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

rewrite239.0ms (3.1%)

Memory

-21.9MiB live, 289.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	299
0	57	299
1	253	299
2	1914	299
0	9272	276

Stop Event

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

Counts

20 → 375

Calls

Call 1

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

Outputs
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eval118.0ms (1.5%)

Memory: 10.7MiB live, 197.2MiB allocated
Compiler: Compiled 19 647 to 1 766 computations (91% saved)

prune60.0ms (0.8%)

Memory

21.9MiB live, 61.0MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	828	7	835
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	830	13	843

Accuracy

100.0%

Counts

843 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.3%	(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 a a) (.f64 b b)) b) b)) #s(literal 1 binary64)))
✓	70.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
	81.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) #s(literal 1 binary64))
✓	70.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
	70.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
	48.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
	47.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
✓	44.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
▶	59.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
▶	47.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b))
	47.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b))
▶	44.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
▶	24.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Compiler

Compiled 225 to 178 computations (20.9% saved)

simplify191.0ms (2.4%)

Memory

-29.9MiB live, 229.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	362
0	60	358
1	116	354
2	185	350
3	368	350
4	715	350
5	1451	350
6	2850	350
7	6231	350
0	8261	333

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (1%)

Memory

14.3MiB live, 131.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a a)
accuracy	2.6592994509462455	(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
accuracy	3.388545661820339	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy	32.082456347645476	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
accuracy	1.26447932680042	(.f64 (.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b)
accuracy	4.472602346755444	(.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b)
accuracy	20.772826991209776	#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64)))
accuracy	27.40892591065036	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b))
accuracy	0	(*.f64 a a)
accuracy	0.14453125	(.f64 (.f64 a a) (*.f64 a a))
accuracy	35.33041569005659	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
accuracy	18.645392915884702	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
accuracy	34.24674781060658	#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
accuracy	0	(*.f64 a a)
accuracy	1.29182307680042	(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 a a) (.f64 b b)) b) b)
accuracy	4.503852346755444	(.f64 (fma.f64 #s(literal 2 binary64) (.f64 a a) (*.f64 b b)) b)
accuracy	16.239964171280523	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 a a) (.f64 b b)) b) b))

Samples

60.0ms

256×

valid

Compiler

Compiled 465 to 62 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 28.0ms (64.3% of total)

ival-add: 9.0ms (20.7% of total)

ival-pow2: 3.0ms (6.9% of total)

ival-sub: 2.0ms (4.6% of total)

exact: 1.0ms (2.3% of total)

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

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

series33.0ms (0.4%)

Memory

-7.2MiB live, 31.2MiB allocated

Counts

19 → 408

Calls

Call 1

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

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

Calls

6 calls:

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

simplify209.0ms (2.7%)

Memory

21.5MiB live, 246.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	5826
1	477	5806
2	1381	5723
3	4097	5316
4	6296	5316
0	8141	4798

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

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

rewrite327.0ms (4.2%)

Memory

-4.1MiB live, 274.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	329
0	60	321
1	255	317
2	1843	317
0	8775	293

Stop Event

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

Counts

19 → 214

Calls

Call 1

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

Outputs
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eval163.0ms (2.1%)

Memory: 6.3MiB live, 158.1MiB allocated
Compiler: Compiled 15 919 to 1 273 computations (92% saved)

prune104.0ms (1.3%)

Memory

-17.7MiB live, 69.4MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	711	4	715
Fresh	1	4	5
Picked	2	3	5
Done	1	2	3
Total	715	13	728

Accuracy

100.0%

Counts

728 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.3%	(fma.f64 (.f64 b b) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b #s(literal -1 binary64))))
▶	47.9%	(fma.f64 (.f64 b b) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (pow.f64 b #s(literal 4 binary64))))
▶	81.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) #s(literal 1 binary64))
✓	70.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
▶	48.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
	47.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
✓	44.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
▶	44.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a))
✓	47.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b))
	47.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b))
	47.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 b b) #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64)))))
✓	44.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	24.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Compiler

Compiled 201 to 161 computations (19.9% saved)

simplify403.0ms (5.1%)

Memory

25.5MiB live, 300.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	373
0	61	373
1	104	373
2	150	373
3	334	373
4	762	373
5	1805	373
6	3226	373
7	7183	373
0	8250	358

Stop Event

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

Calls

Call 1

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

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

localize207.0ms (2.6%)

Memory

14.5MiB live, 173.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (.f64 b b) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (pow.f64 b #s(literal 4 binary64))))
accuracy	0	(pow.f64 b #s(literal 4 binary64))
accuracy	0	(*.f64 b b)
accuracy	33.35812140269789	#s(approx (- (pow (+ (* a a) (* b b)) 2) 1) (pow.f64 b #s(literal 4 binary64)))
accuracy	0	(*.f64 a a)
accuracy	2.6592994509462455	(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
accuracy	3.388545661820339	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy	23.346003507207186	#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
accuracy	2.6592994509462455	(.f64 (.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)
accuracy	3.388545661820339	(.f64 #s(approx (+ ( (* b b) 2) (* a a)) (*.f64 a a)) a)
accuracy	27.048215318874973	#s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a))
accuracy	32.082456347645476	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a))
accuracy	0	(*.f64 b b)
accuracy	0.08984375	(fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	18.645392915884702	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
accuracy	32.937144112651765	#s(approx (+ (* b b) 4) #s(literal 4 binary64))
accuracy	0	(*.f64 a a)
accuracy	1.24885432680042	(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b #s(literal -1 binary64))
accuracy	4.503852346755444	(.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
accuracy	12.56814506281329	#s(approx (- (pow (+ (* a a) (* b b)) 2) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b #s(literal -1 binary64)))

Samples

126.0ms

256×

valid

Compiler

Compiled 498 to 59 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-add: 60.0ms (54.9% of total)

ival-mult: 30.0ms (27.5% of total)

ival-pow2: 13.0ms (11.9% of total)

ival-pow: 3.0ms (2.7% of total)

ival-sub: 2.0ms (1.8% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.7%)

Memory

-9.1MiB live, 31.3MiB allocated

Counts

20 → 420

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
33.0ms	b	@	inf	((+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (+ (* (* (+ (* (* a a) 2) (* b b)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (- (pow (+ (* a a) (* b b)) 2) 1) (pow b 4) (* (+ (* (* a a) 2) (* b b)) b) (* a a))
2.0ms	b	@	-inf	((+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (+ (* (* (+ (* (* a a) 2) (* b b)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (- (pow (+ (* a a) (* b b)) 2) 1) (pow b 4) (* (+ (* (* a a) 2) (* b b)) b) (* a a))
1.0ms	b	@	0	((+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (+ (* (* (+ (* (* a a) 2) (* b b)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (- (pow (+ (* a a) (* b b)) 2) 1) (pow b 4) (* (+ (* (* a a) 2) (* b b)) b) (* a a))
1.0ms	a	@	-inf	((+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (+ (* (* (+ (* (* a a) 2) (* b b)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (- (pow (+ (* a a) (* b b)) 2) 1) (pow b 4) (* (+ (* (* a a) 2) (* b b)) b) (* a a))
1.0ms	a	@	inf	((+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (* b b) (- (pow (+ (* a a) (* b b)) 2) 1) (+ (* (* (+ (* (* a a) 2) (* b b)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 2) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (- (pow (+ (* a a) (* b b)) 2) 1) (pow b 4) (* (+ (* (* a a) 2) (* b b)) b) (* a a))

simplify304.0ms (3.9%)

Memory

23.5MiB live, 284.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	5472
1	411	5452
2	1164	5260
3	5148	5124
0	8266	4631

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

rewrite269.0ms (3.4%)

Memory

-52.9MiB live, 219.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	327
0	61	327
1	252	327
2	1782	327
0	8169	304

Stop Event

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

Counts

20 → 239

Calls

Call 1

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

Outputs
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eval93.0ms (1.2%)

Memory: 26.4MiB live, 212.4MiB allocated
Compiler: Compiled 16 550 to 1 211 computations (92.7% saved)

prune27.0ms (0.3%)

Memory

-14.3MiB live, 70.8MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	759	0	759
Fresh	0	3	3
Picked	0	5	5
Done	0	5	5
Total	759	13	772

Accuracy

100.0%

Counts

772 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.3%	(fma.f64 (.f64 b b) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b #s(literal -1 binary64))))
✓	47.9%	(fma.f64 (.f64 b b) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (pow.f64 b #s(literal 4 binary64))))
✓	81.9%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) #s(literal 1 binary64))
✓	70.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
✓	48.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
	47.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
✓	44.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
✓	44.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a))
✓	47.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64))) b) b))
	47.6%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b))
	47.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 b b) #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64)))))
✓	44.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	24.1%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

Compiler

Compiled 342 to 171 computations (50% saved)

regimes48.0ms (0.6%)

Memory

9.9MiB live, 49.0MiB allocated

Counts

20 → 1

Calls

Call 1

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

Calls

6 calls:

17.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
6.0ms	b
6.0ms	a
6.0ms	(*.f64 b b)
6.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
99.9%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
99.9%	1	`(*.f64 a a)`
99.9%	1	`(*.f64 b b)`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes57.0ms (0.7%)

Memory

-14.4MiB live, 61.9MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

24.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
9.0ms	a
6.0ms	b
6.0ms	(*.f64 b b)
5.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
97.8%	2	`a`
98.5%	2	`b`
89.3%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
89.3%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
97.8%	2	`(*.f64 a a)`
98.5%	2	`(*.f64 b b)`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes9.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.4%	2	`b`
98.4%	2	`(*.f64 b b)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes43.0ms (0.5%)

Memory

2.5MiB live, 46.2MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

30.0ms	(*.f64 a a)
4.0ms	b
4.0ms	a
4.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
97.7%	2	`a`
97.7%	2	`(*.f64 a a)`
79.6%	3	`b`
78.7%	3	`(*.f64 b b)`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.1%)

Memory

-18.4MiB live, 18.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

Calls

2 calls:

6.0ms	a
3.0ms	(*.f64 a a)

Results

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

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes7.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes13.0ms (0.2%)

Memory

-9.8MiB live, 28.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

4.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
3.0ms	a
3.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
3.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
70.9%	2	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
70.9%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
81.2%	2	`a`
81.2%	2	`(*.f64 a a)`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
81.2%	2	`a`
81.2%	2	`(*.f64 a a)`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes11.0ms (0.1%)

Memory

-15.1MiB live, 23.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
48.8%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
48.8%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
48.8%	1	`(*.f64 b b)`
48.8%	1	`b`
48.8%	1	`a`
48.8%	1	`(*.f64 a a)`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes8.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB 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 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
24.1%	1	`b`
24.1%	1	`(*.f64 b b)`
24.1%	1	`a`
24.1%	1	`(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))`
24.1%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
24.1%	1	`(*.f64 a a)`

Compiler

Compiled 40 to 32 computations (20% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0003940218516783747	30523.24157998987

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0003940218516783747	30523.24157998987

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	22321.044142458162	2609058.5833193385

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	22321.044142458162	2609058.5833193385

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	22321.044142458162	2609058.5833193385

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	22321.044142458162	2609058.5833193385

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch16.0ms (0.2%)

Memory

-18.5MiB live, 24.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	22321.044142458162	2609058.5833193385

Samples

7.0ms

112×

valid

Compiler

Compiled 104 to 114 computations (-9.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 1.0ms (24.1% of total)

ival-mult: 1.0ms (24.1% of total)

ival-pow2: 1.0ms (24.1% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify25.0ms (0.3%)

Memory

20.3MiB live, 58.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	547
1	88	547
2	92	547
3	99	547

Stop Event

1×

saturated

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 b b))) #s(literal 1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 1152921504606847/2305843009213693952 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) #s(literal 1 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 1152921504606847/2305843009213693952 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)))
(if (<=.f64 (.f64 a a) #s(literal 40000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 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 (* b b))) 1) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)))
(if (<=.f64 (.f64 a a) #s(literal 40000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 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 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)))
(if (<=.f64 (.f64 a a) #s(literal 40000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) (.f64 b b)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)))
(if (<=.f64 (.f64 a a) #s(literal 40000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 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 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)))
(if (<=.f64 (.f64 a a) #s(literal 330000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 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 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 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 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #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 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64))
(if (<=.f64 (.f64 b b) #s(literal 1152921504606847/2305843009213693952 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) #s(literal 1 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(approx (- (pow (+ ( a a) (* b b)) 2) 1) (fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b #s(literal -1 binary64)))))
(if (<=.f64 (.f64 b b) #s(literal 1152921504606847/2305843009213693952 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)))
(if (<=.f64 (.f64 a a) #s(literal 40000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 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 (* b b))) 1) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)))
(if (<=.f64 (.f64 a a) #s(literal 40000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 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 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)))
(if (<=.f64 (.f64 a a) #s(literal 40000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) (.f64 b b)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)))
(if (<=.f64 (.f64 a a) #s(literal 40000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 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 (* b b))) 1) (.f64 (.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)))
(if (<=.f64 (.f64 a a) #s(literal 330000 binary64)) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 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 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 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 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

soundness1.4s (17.7%)

Memory

29.5MiB live, 884.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	1452
1	240	1448
2	671	1416
3	3126	1332
4	7138	1332
0	8161	1196
0	126	5686
1	394	5654
2	1154	5434
3	4595	5210
4	6654	5210
0	8016	4733
0	36	299
0	57	299
1	253	299
2	1914	299
0	9272	276
0	152	5826
1	477	5806
2	1381	5723
3	4097	5316
4	6296	5316
0	8141	4798

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

Compiler

Compiled 361 to 184 computations (49% saved)

preprocess145.0ms (1.8%)

Memory

-34.3MiB live, 304.3MiB allocated

Remove

(abs a)

(abs b)

Compiler

Compiled 624 to 238 computations (61.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (14.7%)

explain187.0ms (2.4%)

preprocess278.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify173.0ms (2.2%)

localize76.0ms (1%)

series10.0ms (0.1%)

simplify205.0ms (2.6%)

rewrite274.0ms (3.5%)

eval133.0ms (1.7%)

prune19.0ms (0.2%)

simplify271.0ms (3.5%)

localize109.0ms (1.4%)

series35.0ms (0.4%)

simplify235.0ms (3%)

rewrite239.0ms (3.1%)

eval118.0ms (1.5%)

prune60.0ms (0.8%)

simplify191.0ms (2.4%)

localize80.0ms (1%)

series33.0ms (0.4%)

simplify209.0ms (2.7%)

rewrite327.0ms (4.2%)

eval163.0ms (2.1%)

prune104.0ms (1.3%)

simplify403.0ms (5.1%)

localize207.0ms (2.6%)

series56.0ms (0.7%)

simplify304.0ms (3.9%)

rewrite269.0ms (3.4%)

eval93.0ms (1.2%)

prune27.0ms (0.3%)

regimes48.0ms (0.6%)

regimes57.0ms (0.7%)

regimes9.0ms (0.1%)

regimes43.0ms (0.5%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

simplify25.0ms (0.3%)

soundness1.4s (17.7%)

preprocess145.0ms (1.8%)

end0.0ms (0%)

Profiling