Metrics for Bouland and Aaronson, Equation (26)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

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)

sample1.2s (15.6%)

Memory

0.4MiB live, 1 668.5MiB allocated; 394ms collecting garbage

Samples

888.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 554.0ms

ival-mult: 242.0ms (43.7% of total)

ival-pow2: 146.0ms (26.4% of total)

ival-add: 103.0ms (18.6% of total)

ival-sub: 44.0ms (7.9% of total)

exact: 8.0ms (1.4% of total)

ival-true: 6.0ms (1.1% of total)

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

adjust: 2.0ms (0.4% of total)

Bogosity

explain197.0ms (2.5%)

Memory

-2.2MiB live, 286.6MiB allocated; 83ms collecting garbage

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

47.0ms

512×

valid

Compiler

Compiled 149 to 40 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 16.0ms (53.4% of total)

ival-pow2: 5.0ms (16.7% of total)

ival-add: 4.0ms (13.3% of total)

ival-sub: 2.0ms (6.7% of total)

exact: 1.0ms (3.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess270.0ms (3.4%)

Memory

15.4MiB live, 350.4MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	87
1	91	87
2	250	87
3	701	87
4	2342	85
0	12	17
0	19	17
1	44	17
2	134	17
3	479	17
4	1657	17
5	6377	17
0	8033	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))

(-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

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)

simplify246.0ms (3.1%)

Memory

0.8MiB live, 388.8MiB allocated; 53ms collecting garbage

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	1	(+.f64 (.f64 a a) (.f64 b b))
cost-diff	1	(+.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	44	64
2	134	64
3	479	64
4	1657	64
5	6377	64
0	8033	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))
(-.f64 (fma.f64 #s(literal 4 binary64) (.f64 b b) (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)

localize54.0ms (0.7%)

Memory

19.9MiB live, 66.0MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
accuracy	0.0078125	(+.f64 (.f64 a a) (.f64 b b))
accuracy	0.0078125	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	0.09212875976844201	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))

Samples

46.0ms

256×

valid

Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 31.0ms (83.2% of total)

ival-pow2: 3.0ms (8.1% of total)

ival-add: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-34.1MiB live, 19.2MiB allocated; 7ms collecting garbage

Counts

5 → 39

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))

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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)))
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)))
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)))
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)))
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)))

simplify340.0ms (4.3%)

Memory

26.3MiB live, 396.3MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	1137
1	313	1089
2	1400	1057
0	8313	955

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

Inputs
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (pow b 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow b 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow a 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole 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))))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole 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))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow a 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))))
#s(approx (* 4 (* b b)) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow b 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole 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))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))))

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

rewrite77.0ms (1%)

Memory

19.8MiB live, 108.1MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	53
0	19	53
1	90	53
0	851	47

Stop Event

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

Counts

5 → 143

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))

Outputs
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))
(.f64 (fma.f64 #s(literal 4 binary64) (.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b))))
(/.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 b b)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (fma.f64 b b (.f64 a a))) (neg.f64 (fma.f64 b b (.f64 a a))) (.f64 #s(literal 4 binary64) (.f64 b b)))
(fma.f64 (fabs.f64 (fma.f64 b b (.f64 a a))) (fabs.f64 (fma.f64 b b (.f64 a a))) (.f64 #s(literal 4 binary64) (.f64 b b)))
(fma.f64 (exp.f64 (log.f64 (fma.f64 b b (.f64 a a)))) (exp.f64 (log.f64 (fma.f64 b b (.f64 a a)))) (.f64 #s(literal 4 binary64) (.f64 b b)))
(fma.f64 (.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (.f64 b b) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (.f64 #s(literal 4 binary64) (.f64 b b)))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)))
(fma.f64 b (.f64 #s(literal 4 binary64) b) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))) (/.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))))
(-.f64 (.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 (neg.f64 (fma.f64 b b (.f64 a a))) (fma.f64 b b (*.f64 a a))))
(-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 (neg.f64 (*.f64 #s(literal 4 binary64) b)) b))
(-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 (*.f64 (neg.f64 b) b) #s(literal 4 binary64)))
(-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (*.f64 b b)))
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(.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (*.f64 a a)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a a)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))
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(+.f64 (.f64 (fma.f64 b b (.f64 a a)) (.f64 a a)) (.f64 (fma.f64 b b (.f64 a a)) (.f64 b b)))
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(.f64 (.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b))
(.f64 (.f64 #s(literal 4 binary64) b) b)
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(.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal 4 binary64)))
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(.f64 b (.f64 #s(literal 4 binary64) b))

eval53.0ms (0.7%)

Memory: -30.4MiB live, 132.5MiB allocated; 22ms collecting garbage
Compiler: Compiled 4 755 to 684 computations (85.6% saved)

prune37.0ms (0.5%)

Memory

-28.1MiB live, 18.5MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	173	6	179
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	6	180

Accuracy

100.0%

Counts

180 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
▶	86.8%	(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
▶	86.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
▶	72.7%	#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)))
	47.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
▶	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))

Compiler

Compiled 300 to 194 computations (35.3% saved)

simplify217.0ms (2.7%)

Memory

19.1MiB live, 307.1MiB allocated; 34ms collecting garbage

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	319
0	58	309
1	132	309
2	500	306
3	2285	305
4	7417	305
0	8347	304

Stop Event

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

Calls

Call 1

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

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

localize121.0ms (1.5%)

Memory

14.2MiB live, 148.6MiB allocated; 11ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 a #s(literal 4 binary64))
accuracy	34.21546278280397	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
accuracy	0.0078125	(.f64 #s(literal 4 binary64) (.f64 b b))
accuracy	1.4734273496416035	(.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a)
accuracy	4.246670068335874	(.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy	18.550741142527286	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 2 binary64) (.f64 a a)) a) a))
accuracy	0.0	(*.f64 a a)
accuracy	2.143788032774476	(fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))
accuracy	3.8285690238605374	(.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
accuracy	14.64247818411857	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
accuracy	0.0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0.0	(*.f64 b b)
accuracy	0.046875	(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	17.42017819624411	#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	0.0	(*.f64 b b)
accuracy	0.0	(*.f64 a a)
accuracy	0.00390625	(fma.f64 b b (*.f64 a a))
accuracy	0.05859375	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))

Samples

99.0ms

256×

valid

Compiler

Compiled 273 to 33 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-add: 38.0ms (46.5% of total)

ival-mult: 36.0ms (44% of total)

ival-pow: 3.0ms (3.7% of total)

ival-pow2: 3.0ms (3.7% of total)

ival-sub: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

-8.0MiB live, 43.5MiB allocated; 14ms collecting garbage

Counts

20 → 107

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	b	@	0	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (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) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (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) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))
3.0ms	b	@	inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (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) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (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) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))
2.0ms	a	@	inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (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) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (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) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))
2.0ms	b	@	-inf	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (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) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (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) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))
2.0ms	a	@	0	((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (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) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (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) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))

simplify300.0ms (3.8%)

Memory

0.9MiB live, 346.0MiB allocated; 87ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	2824
1	681	2754
2	2775	2753
0	8241	2466

Stop Event

1×	iter limit
1×	node limit

Counts

107 → 107

Calls

Call 1

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

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

rewrite133.0ms (1.7%)

Memory

-9.0MiB live, 191.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	274
0	58	264
1	301	260
0	2931	259

Stop Event

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

Counts

20 → 424

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))) (-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))))
(fma.f64 (.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b) (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b) (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 (fma.f64 b b (.f64 a a)) (neg.f64 b)) (neg.f64 b) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(fma.f64 (.f64 (fma.f64 b b (.f64 a a)) (fabs.f64 b)) (fabs.f64 b) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(fma.f64 (.f64 (fma.f64 b b (.f64 a a)) b) b (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 (fma.f64 b b (.f64 a a)))) (neg.f64 (neg.f64 (fma.f64 b b (.f64 a a)))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) (neg.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) (fabs.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 (fma.f64 b b (.f64 a a)))) (exp.f64 (log.f64 (fma.f64 b b (.f64 a a)))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #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)))
(fma.f64 (.f64 #s(literal 4 binary64) b) b (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 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)))
(fma.f64 (neg.f64 (fma.f64 b b (.f64 a a))) (neg.f64 (fma.f64 b b (.f64 a a))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) (fma.f64 b b (.f64 a a))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(fma.f64 (fabs.f64 (fma.f64 b b (.f64 a a))) (fabs.f64 (fma.f64 b b (.f64 a a))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 b) (.f64 (fabs.f64 b) (fma.f64 b b (.f64 a a))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))
(fma.f64 (.f64 b b) #s(literal 4 binary64) (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(fma.f64 #s(literal 4 binary64) (.f64 b b) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (.f64 b b) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (.f64 b b) (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 a a))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(fma.f64 b (.f64 #s(literal 4 binary64) b) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 b (.f64 #s(literal 4 binary64) b) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))
(fma.f64 b (.f64 #s(literal 4 binary64) b) (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))))))
(-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 b b) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal -1 binary64)))
(-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 (neg.f64 (neg.f64 (fma.f64 b b (.f64 a a)))) (neg.f64 (fma.f64 b b (.f64 a a)))))
(-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) (fabs.f64 (fma.f64 b b (.f64 a a)))))
(-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 b b (.f64 a a))) (fma.f64 b b (.f64 a a))))
(-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (neg.f64 (fma.f64 b b (.f64 a a)))))
(+.f64 (+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64)))
(+.f64 (+.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)))))
(+.f64 (+.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a (fma.f64 (.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal -1 binary64)))
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(fma.f64 b (.f64 #s(literal 4 binary64) b) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (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 b b) (.f64 a a)) a) a))) #s(literal 2 binary64)) (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) (fma.f64 (.f64 #s(literal 4 binary64) b) b #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (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 b b) (.f64 a a)) a) a))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) (fma.f64 (.f64 #s(literal 4 binary64) b) b #s(literal 1 binary64))) (pow.f64 (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 b b) (.f64 a a)) a) a))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) (fma.f64 (.f64 #s(literal 4 binary64) b) b #s(literal 1 binary64))) (pow.f64 (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 b b) (.f64 a a)) a) a))) #s(literal 2 binary64)))))
(-.f64 (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 b b) (.f64 a a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) (fma.f64 #s(literal -4 binary64) (*.f64 b b) #s(literal 1 binary64)))
(+.f64 (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 b b) (.f64 a a)) a) a))) #s(literal -1 binary64))
(+.f64 (.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 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(+.f64 (fma.f64 (.f64 b 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 b b) (.f64 a a)) a) a)))
#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) (neg.f64 a)) (neg.f64 a))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) (fabs.f64 a)) (fabs.f64 a))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) (.f64 a a))
(.f64 (.f64 a a) (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)))
(.f64 a (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 a a)) (fma.f64 (.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (.f64 a a)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 b a) #s(literal 2 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(.f64 (.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a))
(.f64 (.f64 (*.f64 a a) (fabs.f64 a)) (fabs.f64 a))
(.f64 (.f64 (*.f64 a a) a) a)
(.f64 (.f64 (neg.f64 a) (fabs.f64 a)) (*.f64 (neg.f64 a) (fabs.f64 a)))
(.f64 (.f64 (fabs.f64 a) (neg.f64 a)) (*.f64 (fabs.f64 a) (neg.f64 a)))
(.f64 (.f64 (fabs.f64 a) a) (*.f64 (fabs.f64 a) a))
(.f64 (.f64 a (fabs.f64 a)) (*.f64 a (fabs.f64 a)))
(.f64 (.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) a))
(.f64 (neg.f64 a) (.f64 (neg.f64 a) (*.f64 a a)))
(.f64 (fabs.f64 a) (.f64 (fabs.f64 a) (*.f64 a a)))
(.f64 (.f64 a a) (*.f64 a a))
(.f64 a (.f64 a (*.f64 a a)))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 4 binary64))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(pow.f64 a #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 a) #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a)
(.f64 a (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) a) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 (neg.f64 a) a)))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) a) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (.f64 a (-.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 (neg.f64 a) a)))
(/.f64 (.f64 a (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) a (.f64 (.f64 a a) a))
(fma.f64 (.f64 a a) a (.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) a))
(fma.f64 a (.f64 #s(literal 2 binary64) (.f64 b b)) (.f64 a (.f64 a a)))
(fma.f64 a (.f64 a a) (.f64 a (.f64 #s(literal 2 binary64) (.f64 b b))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) a) (.f64 (*.f64 a a) a))
(+.f64 (.f64 (.f64 a a) a) (.f64 (.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(+.f64 (.f64 a (.f64 #s(literal 2 binary64) (.f64 b b))) (.f64 a (*.f64 a a)))
(+.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 #s(literal 2 binary64) (*.f64 b b))))
(.f64 (.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b))
(.f64 (.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b))
(.f64 (.f64 #s(literal 4 binary64) b) b)
(.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 4 binary64)))
(.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal 4 binary64)))
(.f64 (.f64 b b) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 b (.f64 #s(literal 4 binary64) b))

eval150.0ms (1.9%)

Memory: 11.1MiB live, 295.0MiB allocated; 27ms collecting garbage
Compiler: Compiled 21 991 to 2 096 computations (90.5% saved)

prune20.0ms (0.2%)

Memory

10.0MiB live, 55.3MiB allocated; 5ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	658	9	667
Fresh	0	1	1
Picked	4	1	5
Done	0	0	0
Total	662	11	673

Accuracy

100.0%

Counts

673 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.2%	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))
▶	98.9%	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
	86.8%	(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 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
	72.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
▶	71.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
	53.5%	#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)))
	47.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
✓	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a))
▶	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
▶	25.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))

Compiler

Compiled 581 to 355 computations (38.9% saved)

simplify228.0ms (2.9%)

Memory

-17.8MiB live, 326.9MiB allocated; 57ms collecting garbage

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	290
0	49	279
1	118	275
2	428	271
3	1867	271
4	5970	271
0	8278	250

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (1.3%)

Memory

-20.1MiB live, 171.9MiB allocated; 15ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 b b (*.f64 a a))
accuracy	0.0078125	(.f64 (.f64 b b) #s(literal 4 binary64))
accuracy	0.05859375	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))
accuracy	31.067720185299798	#s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))
accuracy	2.143788032774476	(fma.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64))
accuracy	3.8285690238605374	(.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b)
accuracy	14.64247818411857	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
accuracy	36.111814529443066	#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b))
accuracy	0.0	(*.f64 a a)
accuracy	0.0625	(.f64 (.f64 a a) (*.f64 a a))
accuracy	34.21546278280397	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
accuracy	14.64247818411857	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
accuracy	40.88782354946027	#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64))
accuracy	0.0	(*.f64 a a)
accuracy	0.00390625	(fma.f64 b b (*.f64 a a))
accuracy	0.05859375	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
accuracy	32.686304854888114	#s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))

Samples

89.0ms

256×

valid

Compiler

Compiled 222 to 27 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 60.0ms (81.9% of total)

ival-add: 9.0ms (12.3% of total)

ival-pow2: 3.0ms (4.1% of total)

ival-sub: 1.0ms (1.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB allocated; 0ms collecting garbage

Counts

15 → 62

Calls

Call 1

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

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

Calls

6 calls:

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

simplify245.0ms (3.1%)

Memory

19.0MiB live, 290.1MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	1736
1	479	1678
2	2101	1661
0	8254	1477

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 62

Calls

Call 1

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

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

rewrite241.0ms (3%)

Memory

-33.5MiB live, 219.4MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	262
0	49	247
1	255	243
0	2396	222

Stop Event

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

Counts

15 → 193

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))) (-.f64 #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64))) (fma.f64 #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64))) (fma.f64 #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))))
(fma.f64 (.f64 (fma.f64 b b (.f64 a a)) (neg.f64 b)) (neg.f64 b) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))))
(fma.f64 (.f64 (fma.f64 b b (.f64 a a)) (fabs.f64 b)) (fabs.f64 b) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))))
(fma.f64 (.f64 (fma.f64 b b (.f64 a a)) b) b (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))))
(fma.f64 (neg.f64 (neg.f64 (fma.f64 b b (.f64 a a)))) (neg.f64 (neg.f64 (fma.f64 b b (.f64 a a)))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) (neg.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) (fabs.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 (fma.f64 b b (.f64 a a)))) (exp.f64 (log.f64 (fma.f64 b b (.f64 a a)))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) (fma.f64 b b (.f64 a a))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))))
(fma.f64 (neg.f64 (fma.f64 b b (.f64 a a))) (neg.f64 (fma.f64 b b (.f64 a a))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 b) (.f64 (fabs.f64 b) (fma.f64 b b (.f64 a a))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))))
(fma.f64 (fabs.f64 (fma.f64 b b (.f64 a a))) (fabs.f64 (fma.f64 b b (.f64 a a))) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 a a))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))))
(-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (.f64 (neg.f64 (neg.f64 (fma.f64 b b (.f64 a a)))) (neg.f64 (fma.f64 b b (*.f64 a a)))))
(-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) (fabs.f64 (fma.f64 b b (*.f64 a a)))))
(-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (.f64 (neg.f64 (fma.f64 b b (.f64 a a))) (fma.f64 b b (*.f64 a a))))
(-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (.f64 (fma.f64 b b (.f64 a a)) (neg.f64 (fma.f64 b b (*.f64 a a)))))
(+.f64 (+.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)) (fma.f64 #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (-.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)))))
(+.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64))))
(+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))
(+.f64 #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 a) a) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 b b) (.f64 (neg.f64 a) a)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 b) b) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 a a) (.f64 (neg.f64 b) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 b a) (-.f64 b a)))
(/.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 b b))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 b b))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 a a))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 a a))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 b b))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) a (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) a (*.f64 b b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a a))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 b b))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 a a))
(fma.f64 a a (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 b b (*.f64 a a))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (+.f64 a b) (-.f64 a b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (+.f64 b a) (-.f64 b a))))
(-.f64 (.f64 b b) (.f64 (neg.f64 a) a))
(-.f64 (.f64 a a) (.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)))
(-.f64 (.f64 a a) (.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 b)))
(-.f64 (.f64 a a) (.f64 (neg.f64 b) b))
(exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 a a))) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 a b) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (.f64 a b) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))
(+.f64 (.f64 b b) (.f64 (neg.f64 (neg.f64 a)) a))
(+.f64 (.f64 b b) (.f64 a a))
(+.f64 (.f64 a a) (.f64 (neg.f64 (neg.f64 b)) b))
(+.f64 (.f64 a a) (.f64 b b))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) a)
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 a a)
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(sqrt.f64 (pow.f64 a #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
#s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64))
(.f64 (.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a))
(.f64 (.f64 (*.f64 a a) (fabs.f64 a)) (fabs.f64 a))
(.f64 (.f64 (neg.f64 a) (fabs.f64 a)) (*.f64 (neg.f64 a) (fabs.f64 a)))
(.f64 (.f64 (fabs.f64 a) (neg.f64 a)) (*.f64 (fabs.f64 a) (neg.f64 a)))
(.f64 (.f64 (fabs.f64 a) a) (*.f64 (fabs.f64 a) a))
(.f64 (.f64 a (fabs.f64 a)) (*.f64 a (fabs.f64 a)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) a)
(.f64 (pow.f64 (.f64 a a) #s(literal 1 binary64)) (pow.f64 (*.f64 a a) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 a a) #s(literal 1 binary64)) (*.f64 a a))
(.f64 (neg.f64 a) (.f64 (neg.f64 a) (*.f64 a a)))
(.f64 (.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) a))
(.f64 (fabs.f64 a) (.f64 (fabs.f64 a) (*.f64 a a)))
(.f64 (.f64 a a) (*.f64 a a))
(*.f64 a (pow.f64 a #s(literal 3 binary64)))
(pow.f64 (*.f64 (neg.f64 a) a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(pow.f64 a #s(literal 4 binary64))
(neg.f64 (.f64 (.f64 a a) (*.f64 (neg.f64 a) a)))
(neg.f64 (.f64 (.f64 (neg.f64 a) a) (*.f64 a a)))
(fabs.f64 (pow.f64 a #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 a a)) #s(literal 2 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) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b))) (pow.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 (*.f64 b b) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b))) (pow.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (neg.f64 b)) (neg.f64 b) #s(literal -1 binary64))
(fma.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (fabs.f64 b)) (fabs.f64 b) #s(literal -1 binary64))
(fma.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64))
(fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b) #s(literal -1 binary64))
(fma.f64 (.f64 b b) #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 b (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b)) b))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b))) (.f64 b b)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 b) (.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b))) (pow.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b))) (pow.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) (.f64 b b)))
(.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b)
(.f64 b #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (*.f64 b b)))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))) (-.f64 #s(approx (+ ( 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ ( 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(approx (+ ( 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (-.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ ( 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ ( 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64))) (+.f64 (pow.f64 #s(approx (+ ( 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ ( 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64))) (fma.f64 #s(approx (+ ( 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (-.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64))))
(fma.f64 (.f64 (fma.f64 b b (.f64 a a)) (neg.f64 b)) (neg.f64 b) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (.f64 (fma.f64 b b (.f64 a a)) (fabs.f64 b)) (fabs.f64 b) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (.f64 (fma.f64 b b (.f64 a a)) b) b (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (neg.f64 (neg.f64 (fma.f64 b b (.f64 a a)))) (neg.f64 (neg.f64 (fma.f64 b b (.f64 a a)))) #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) (neg.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (fabs.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) (fabs.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (exp.f64 (log.f64 (fma.f64 b b (.f64 a a)))) (exp.f64 (log.f64 (fma.f64 b b (.f64 a a)))) #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) (fma.f64 b b (.f64 a a))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (neg.f64 (fma.f64 b b (.f64 a a))) (neg.f64 (fma.f64 b b (.f64 a a))) #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (fabs.f64 b) (.f64 (fabs.f64 b) (fma.f64 b b (.f64 a a))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (fabs.f64 (fma.f64 b b (.f64 a a))) (fabs.f64 (fma.f64 b b (.f64 a a))) #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 a a)) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (fma.f64 b b (.f64 a a)) (.f64 b b) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))
(fma.f64 b (.f64 b (fma.f64 b b (.f64 a a))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))) (/.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ ( 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))))
(-.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (neg.f64 (neg.f64 (fma.f64 b b (.f64 a a)))) (neg.f64 (fma.f64 b b (*.f64 a a)))))
(-.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (neg.f64 (fabs.f64 (fma.f64 b b (.f64 a a)))) (fabs.f64 (fma.f64 b b (*.f64 a a)))))
(-.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (neg.f64 (fma.f64 b b (.f64 a a))) (fma.f64 b b (*.f64 a a))))
(-.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 (fma.f64 b b (.f64 a a)) (neg.f64 (fma.f64 b b (*.f64 a a)))))
(+.f64 (+.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (+.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))
(+.f64 (/.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 6 binary64)) (fma.f64 #s(approx (+ ( 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (-.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (-.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 4 binary64)))))
(+.f64 (+.f64 (pow.f64 (.f64 a b) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 (fma.f64 b b (.f64 a a)) a) a #s(approx (+ ( 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))))
(+.f64 (pow.f64 (fma.f64 b b (.f64 a a)) #s(literal 2 binary64)) #s(approx (+ ( 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))
(+.f64 #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
#s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b))
(.f64 (.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b))
(.f64 (.f64 #s(literal 4 binary64) b) b)
(.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 4 binary64)))
(.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal 4 binary64)))
(.f64 (.f64 b b) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 b (.f64 #s(literal 4 binary64) b))

eval117.0ms (1.5%)

Memory: 24.7MiB live, 160.1MiB allocated; 14ms collecting garbage
Compiler: Compiled 16 453 to 1 012 computations (93.8% saved)

prune80.0ms (1%)

Memory

-42.9MiB live, 58.9MiB allocated; 8ms collecting garbage

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	507	2	509
Fresh	0	5	5
Picked	0	5	5
Done	0	1	1
Total	507	13	520

Accuracy

100.0%

Counts

520 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.2%	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))
✓	98.9%	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
	79.6%	(fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( b b) (* a a)) (.f64 b b)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))
▶	79.4%	(fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( b b) (* a a)) (.f64 a a)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))
▶	86.8%	(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 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
▶	72.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
✓	71.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
▶	53.5%	#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)))
	47.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
✓	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
▶	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a))
✓	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	25.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))

Compiler

Compiled 541 to 333 computations (38.4% saved)

simplify252.0ms (3.2%)

Memory

44.2MiB live, 266.7MiB allocated; 36ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	315
0	61	309
1	120	303
2	360	299
3	1329	299
4	4895	299
0	8275	294

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

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

localize171.0ms (2.2%)

Memory

-26.6MiB live, 175.4MiB allocated; 30ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 b b (*.f64 a a))
accuracy	0.05859375	(fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( b b) (* a a)) (.f64 a a)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))
accuracy	29.492132456944393	#s(approx (+ (* b b) (* a a)) (*.f64 a a))
accuracy	32.686304854888114	#s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))
accuracy	0.0	(fma.f64 b b #s(literal 4 binary64))
accuracy	0.03125	(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
accuracy	0.05859375	(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
accuracy	17.42017819624411	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
accuracy	0.0	(*.f64 a a)
accuracy	0.0234375	(.f64 (.f64 (*.f64 a a) a) a)
accuracy	0.0625	(.f64 (.f64 a a) a)
accuracy	34.21546278280397	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a))
accuracy	0.0	(*.f64 b b)
accuracy	0.046875	(fma.f64 (.f64 b b) #s(approx (+ ( b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy	17.42017819624411	#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	31.507967017939585	#s(approx (+ (* b b) 4) #s(literal 4 binary64))
accuracy	0.01171875	(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 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
accuracy	1.4734273496416035	(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)
accuracy	4.246670068335874	(.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (*.f64 a a)) a)
accuracy	18.550741142527286	#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))

Samples

142.0ms

256×

valid

Compiler

Compiled 248 to 34 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 44.0ms (52.2% of total)

ival-add: 35.0ms (41.5% of total)

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

ival-pow2: 2.0ms (2.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

-7.6MiB live, 39.3MiB allocated; 3ms collecting garbage

Counts

21 → 104

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

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

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

simplify313.0ms (3.9%)

Memory

10.4MiB live, 192.0MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	251	2681
1	577	2607
2	2203	2551
0	8202	2314

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 104

Calls

Call 1

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

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

rewrite103.0ms (1.3%)

Memory

18.6MiB live, 78.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	283
0	61	271
1	267	267
0	2335	262

Stop Event

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

Counts

21 → 285

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

Outputs
(/.f64 (-.f64 (.f64 (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 b b) (.f64 a a)) a) a))) (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 b b) (.f64 a a)) a) a)))) #s(literal 1 binary64)) (+.f64 (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 b b) (.f64 a a)) a) a))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (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 b b) (.f64 a a)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (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 b b) (.f64 a a)) a) a))) (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 b b) (.f64 a a)) a) a))) (+.f64 #s(literal 1 binary64) (.f64 (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 b b) (.f64 a a)) a) a))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a))) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (.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 b b) (.f64 a a)) a) a)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 (.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal 4 binary64) b) b (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 4 binary64)) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal 4 binary64)) (-.f64 #s(approx (pow (+ ( a a) (* b b)) 2) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)) #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 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
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(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) a) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))))
(/.f64 (.f64 a (-.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) b) b (.f64 (neg.f64 a) a)))
(/.f64 (.f64 a (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))))
(fma.f64 (.f64 a (fabs.f64 a)) (fabs.f64 a) (.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) a))
(fma.f64 (.f64 a (fabs.f64 a)) (fabs.f64 a) (.f64 a (.f64 #s(literal 2 binary64) (.f64 b b))))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (.f64 a (.f64 #s(literal 2 binary64) (*.f64 b b))))
(fma.f64 (.f64 (neg.f64 a) a) (neg.f64 a) (.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) a))
(fma.f64 (.f64 (neg.f64 a) a) (neg.f64 a) (.f64 a (.f64 #s(literal 2 binary64) (.f64 b b))))
(fma.f64 (neg.f64 a) (.f64 (neg.f64 a) a) (.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) a))
(fma.f64 (neg.f64 a) (.f64 (neg.f64 a) a) (.f64 a (.f64 #s(literal 2 binary64) (.f64 b b))))
(fma.f64 (fabs.f64 a) (.f64 (fabs.f64 a) a) (.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) a))
(fma.f64 (fabs.f64 a) (.f64 (fabs.f64 a) a) (.f64 a (.f64 #s(literal 2 binary64) (.f64 b b))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) a (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (.f64 a a) a (.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) a))
(fma.f64 (.f64 a a) a (.f64 a (.f64 #s(literal 2 binary64) (.f64 b b))))
(fma.f64 a (.f64 #s(literal 2 binary64) (.f64 b b)) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 a (.f64 a a) (.f64 (.f64 #s(literal 2 binary64) (.f64 b b)) a))
(fma.f64 a (.f64 a a) (.f64 a (.f64 #s(literal 2 binary64) (.f64 b b))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 b b)) a) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (.f64 a (.f64 #s(literal 2 binary64) (*.f64 b b))) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 a (.f64 #s(literal 2 binary64) (*.f64 b b))))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) (neg.f64 a)) (neg.f64 a))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) (fabs.f64 a)) (fabs.f64 a))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a) a)
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) (.f64 a a))
(.f64 (.f64 a a) (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)))
(.f64 a (.f64 (fma.f64 #s(literal 2 binary64) (.f64 b b) (.f64 a a)) a))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 a a)) (fma.f64 (.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (.f64 a a)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 a b) #s(literal 2 binary64))))))
#s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64))

eval94.0ms (1.2%)

Memory: -18.7MiB live, 72.6MiB allocated; 8ms collecting garbage
Compiler: Compiled 15 213 to 1 506 computations (90.1% saved)

prune16.0ms (0.2%)

Memory

33.9MiB live, 33.9MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	423	1	424
Fresh	0	2	2
Picked	0	5	5
Done	0	6	6
Total	423	14	437

Accuracy

100.0%

Counts

437 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.2%	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) (.f64 (.f64 b b) #s(literal 4 binary64))))
✓	98.9%	(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
	79.6%	(fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( b b) (* a a)) (.f64 b b)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))
✓	79.4%	(fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ ( b b) (* a a)) (.f64 a a)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))
✓	86.8%	(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 b b) (.f64 a a)) a) a)) #s(literal 1 binary64)))
	70.9%	(fma.f64 #s(approx (+ (* b b) (* a a)) (.f64 a a)) #s(approx (+ ( b b) (* a a)) (.f64 a a)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64)))
✓	72.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
✓	71.8%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
✓	53.5%	#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)))
	47.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
✓	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
✓	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a))
✓	46.5%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))
✓	25.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))

Compiler

Compiled 899 to 317 computations (64.7% saved)

regimes38.0ms (0.5%)

Memory

-12.4MiB live, 34.2MiB allocated; 3ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

13.0ms	b
5.0ms	a
5.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
5.0ms	(*.f64 b b)
5.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 b b)`
99.9%	1	`(*.f64 a a)`
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 (+.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	`a`
99.9%	1	`b`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes57.0ms (0.7%)

Memory

-28.2MiB live, 24.2MiB allocated; 4ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

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

Calls

6 calls:

32.0ms	(*.f64 a a)
5.0ms	b
5.0ms	a
4.0ms	(*.f64 b b)
4.0ms	(+.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	`(*.f64 b b)`
99.9%	1	`(*.f64 a a)`
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 (+.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	`a`
99.9%	1	`b`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes23.0ms (0.3%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`(*.f64 b b)`
98.9%	1	`(*.f64 a a)`
98.9%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
98.9%	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))`
98.9%	1	`a`
98.9%	1	`b`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes44.0ms (0.6%)

Memory

-10.5MiB live, 36.3MiB allocated; 1ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

27.0ms	(*.f64 a a)
4.0ms	b
4.0ms	a
3.0ms	(*.f64 b b)
3.0ms	(+.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
98.6%	2	`(*.f64 b b)`
98.6%	2	`(*.f64 a a)`
86.5%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
86.5%	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))`
98.6%	2	`a`
98.6%	2	`b`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes13.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.6%	2	`(*.f64 a a)`
98.6%	2	`a`
97.9%	2	`(*.f64 b b)`
97.9%	2	`b`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes30.0ms (0.4%)

Memory

-23.4MiB live, 20.7MiB allocated; 5ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

21.0ms	(*.f64 a a)
3.0ms	b
3.0ms	a
2.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
96.0%	2	`(*.f64 b b)`
96.0%	2	`b`
96.7%	2	`(*.f64 a a)`
96.7%	2	`a`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.7%	2	`(*.f64 a a)`
96.7%	2	`a`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
95.7%	2	`(*.f64 b b)`
95.7%	2	`b`
95.8%	2	`(*.f64 a a)`
95.8%	2	`a`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes21.0ms (0.3%)

Memory

-23.1MiB live, 21.6MiB allocated; 6ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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 (*.f64 a a) a) a))

Calls

6 calls:

12.0ms	b
2.0ms	a
2.0ms	(*.f64 b b)
2.0ms	(*.f64 a a)
2.0ms	(+.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
71.3%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
71.3%	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))`
63.8%	3	`(*.f64 b b)`
66.9%	5	`b`
84.1%	2	`(*.f64 a a)`
84.1%	2	`a`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes4.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

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
84.1%	2	`(*.f64 a a)`
84.1%	2	`a`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

1.0ms	a
1.0ms	b
1.0ms	(*.f64 a 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 b b)

Results

Accuracy	Segments	Branch
53.5%	1	`(*.f64 b b)`
53.5%	1	`b`
53.5%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
53.5%	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))`
53.5%	1	`(*.f64 a a)`
53.5%	1	`a`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes42.0ms (0.5%)

Memory

-52.2MiB live, 16.7MiB allocated; 32ms collecting garbage

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

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

Calls

6 calls:

37.0ms	b
1.0ms	a
1.0ms	(*.f64 a 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))

Results

Accuracy	Segments	Branch
25.7%	1	`(*.f64 b b)`
25.7%	1	`b`
25.7%	1	`(*.f64 a a)`
25.7%	1	`a`
25.7%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
25.7%	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))`

Compiler

Compiled 40 to 32 computations (20% saved)

bsearch14.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.344691622435612e-7	0.0001339739397176654

Samples

7.0ms

112×

valid

Compiler

Compiled 468 to 275 computations (41.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (40.8% of total)

ival-add: 1.0ms (20.4% of total)

ival-pow2: 1.0ms (20.4% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0031948976179920754	1.4564048908146292

Samples

8.0ms

128×

valid

Compiler

Compiled 452 to 296 computations (34.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (36.9% of total)

ival-sub: 1.0ms (18.5% of total)

ival-add: 1.0ms (18.5% of total)

ival-pow2: 1.0ms (18.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.2052166979423429e+23	1.9976015645593463e+23

Samples

4.0ms

64×

valid

Compiler

Compiled 228 to 160 computations (29.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 1.0ms (37% of total)

ival-mult: 1.0ms (37% of total)

ival-pow2: 1.0ms (37% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.2052166979423429e+23	1.9976015645593463e+23

Compiler

Compiled 228 to 160 computations (29.8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.2052166979423429e+23	1.9976015645593463e+23

Compiler

Compiled 272 to 172 computations (36.8% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.2052166979423429e+23	1.9976015645593463e+23

Compiler

Compiled 240 to 164 computations (31.7% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.2052166979423429e+23	1.9976015645593463e+23

Compiler

Compiled 240 to 160 computations (33.3% saved)

simplify86.0ms (1.1%)

Memory

-10.9MiB live, 35.7MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	548
1	116	548
2	285	548
3	1031	548
4	4491	548

Stop Event

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))
(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(if (<=.f64 b #s(literal 7378697629483821/73786976294838206464 binary64)) (fma.f64 #s(approx (+ (* b b) (* a a)) (.f64 a a)) #s(approx (+ ( b b) (* a a)) (.f64 a a)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal 2132904783522667/144115188075855872 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ (* b b) (* a a)) (.f64 a a)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal 121999999999999995805696 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.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))) 1) (.f64 (.f64 (*.f64 a a) a) a)))
(if (<=.f64 a #s(literal 121999999999999995805696 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 (*.f64 a a) a) a)))
(if (<=.f64 a #s(literal 121999999999999995805696 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a)))
(if (<=.f64 a #s(literal 121999999999999995805696 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 (*.f64 a a) a) a)))
(if (<=.f64 a #s(literal 121999999999999995805696 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) (+ (* (* a a) 2) 4)) b) b) -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))
(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (.f64 a a)) (fma.f64 b b (.f64 a a)) #s(approx (+ (* 4 (* b b)) -1) #s(literal -1 binary64)))
(if (<=.f64 b #s(literal 7378697629483821/73786976294838206464 binary64)) (fma.f64 #s(approx (+ (* b b) (* a a)) (.f64 a a)) #s(approx (+ ( b b) (* a a)) (.f64 a a)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal 2132904783522667/144115188075855872 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (fma.f64 (fma.f64 b b (.f64 a a)) #s(approx (+ (* b b) (* a a)) (.f64 a a)) #s(approx (+ ( 4 (* b b)) -1) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal 121999999999999995805696 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.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))) 1) (.f64 (.f64 (*.f64 a a) a) a)))
(if (<=.f64 a #s(literal 121999999999999995805696 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 (*.f64 a a) a) a)))
(if (<=.f64 a #s(literal 121999999999999995805696 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (.f64 #s(approx (+ ( b b) (+ (* (* a a) 2) 4)) (.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 (*.f64 a a) a) a)))
(if (<=.f64 a #s(literal 121999999999999995805696 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 (*.f64 a a) a) a)))
(if (<=.f64 a #s(literal 121999999999999995805696 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) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))

derivations1.9s (23.8%)

Memory

66.3MiB live, 1 002.2MiB allocated; 170ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 548 to 79 computations (85.6% saved)

preprocess148.0ms (1.9%)

Memory

5.6MiB live, 197.2MiB allocated; 105ms collecting garbage

Remove

(abs a)

(abs b)

Compiler

Compiled 1 266 to 278 computations (78% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample1.2s (15.6%)

explain197.0ms (2.5%)

preprocess270.0ms (3.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify246.0ms (3.1%)

localize54.0ms (0.7%)

series13.0ms (0.2%)

simplify340.0ms (4.3%)

rewrite77.0ms (1%)

eval53.0ms (0.7%)

prune37.0ms (0.5%)

simplify217.0ms (2.7%)

localize121.0ms (1.5%)

series26.0ms (0.3%)

simplify300.0ms (3.8%)

rewrite133.0ms (1.7%)

eval150.0ms (1.9%)

prune20.0ms (0.2%)

simplify228.0ms (2.9%)

localize108.0ms (1.3%)

series11.0ms (0.1%)

simplify245.0ms (3.1%)

rewrite241.0ms (3%)

eval117.0ms (1.5%)

prune80.0ms (1%)

simplify252.0ms (3.2%)

localize171.0ms (2.2%)

series26.0ms (0.3%)

simplify313.0ms (3.9%)

rewrite103.0ms (1.3%)

eval94.0ms (1.2%)

prune16.0ms (0.2%)

regimes38.0ms (0.5%)

regimes57.0ms (0.7%)

regimes23.0ms (0.3%)

regimes44.0ms (0.6%)

regimes13.0ms (0.2%)

regimes30.0ms (0.4%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes21.0ms (0.3%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes42.0ms (0.5%)

bsearch14.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify86.0ms (1.1%)

derivations1.9s (23.8%)

preprocess148.0ms (1.9%)

end0.0ms (0%)

Profiling