Metrics for Bouland and Aaronson, Equation (26)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 (15.3%)

Memory

90.3MiB live, 1 041.7MiB allocated; 1.0s collecting garbage

Samples

857.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 667.0ms

ival-mult: 463.0ms (69.4% of total)

ival-pow2: 82.0ms (12.3% of total)

ival-add: 69.0ms (10.3% of total)

ival-sub: 40.0ms (6% of total)

exact: 8.0ms (1.2% of total)

adjust: 2.0ms (0.3% of total)

ival-assert: 2.0ms (0.3% of total)

Bogosity

explain164.0ms (2.1%)

Memory

-41.6MiB live, 205.9MiB allocated; 31ms 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

40.0ms

512×

valid

Compiler

Compiled 149 to 40 computations (73.2% saved)

Precisions

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

ival-mult: 10.0ms (44.2% of total)

ival-pow2: 5.0ms (22.1% of total)

ival-add: 4.0ms (17.7% of total)

ival-sub: 2.0ms (8.8% of total)

exact: 1.0ms (4.4% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess147.0ms (1.9%)

Memory

32.9MiB live, 122.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	104
1	98	104
2	265	104
3	715	104
4	2356	102
0	12	17
0	19	17
1	44	17
2	134	17
3	479	17
4	1657	17
5	6377	17
0	8033	17

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

Symmetry

(abs a)

(abs b)

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

series9.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Counts

12 → 43

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

Calls

6 calls:

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

rewrite176.0ms (2.3%)

Memory

-32.9MiB live, 198.6MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	1221
0	148	1209
1	800	1161
0	8496	1113

Stop Event

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

Counts

55 → 195

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

Outputs
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (-.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.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 2 binary64)) (+.f64 #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)))))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)))
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(.f64 (.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) b))
(.f64 (.f64 #s(literal 1 binary64) b) b)
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(.f64 (neg.f64 b) (.f64 (neg.f64 b) #s(literal 1 binary64)))
(*.f64 (neg.f64 b) (neg.f64 b))
(.f64 (fabs.f64 b) (.f64 (fabs.f64 b) #s(literal 1 binary64)))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(.f64 (.f64 b b) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 b b))
(.f64 b (.f64 b #s(literal 1 binary64)))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(/.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 b) b))
(fabs.f64 (*.f64 b b))
(exp.f64 (+.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 b) #s(literal 2 binary64))))
b
#s(literal 2 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 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 b b) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (.f64 b b))
(.f64 b (.f64 b #s(literal 4 binary64)))
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (.f64 (.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 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal -4 binary64)) b) b) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (+.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal -4 binary64)) b) b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (+.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal -4 binary64)) b) b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64)))
#s(approx (pow (+ (* a a) (* b b)) 2) (+.f64 (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (+.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(approx (+ (* a a) (* b b)) (*.f64 b b))
#s(approx (+ (* a a) (* b b)) (+.f64 (.f64 a a) (.f64 b b)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#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) (.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (-.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #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) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (/.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 a #s(literal 4 binary64)))
#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64))) (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (*.f64 a a))
#s(approx (+ (* a a) (* b b)) (.f64 (.f64 (-.f64 (ratio-of-squares.f64 b a) #s(literal -1 binary64)) a) a))
#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) (+.f64 (.f64 (.f64 (-.f64 (.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) (-.f64 (+.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal -4 binary64)) b) b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+.f64 (.f64 (.f64 (-.f64 (.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))) (+.f64 (+.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal -4 binary64)) b) b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (+.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (+.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (* 4 (* b b)) (.f64 (.f64 b b) #s(literal 4 binary64)))
#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) (.f64 (-.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (-.f64 (+.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64))))) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#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))) (.f64 (-.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64))))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64))) (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (.f64 (.f64 (-.f64 (ratio-of-squares.f64 a b) #s(literal -1 binary64)) b) b))

eval241.0ms (3.1%)

Memory

21.9MiB live, 213.0MiB allocated; 45ms collecting garbage

Samples

87.0ms	981×	0	valid
30.0ms	811×	0	invalid

Compiler

Compiled 5 959 to 995 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 16.0ms (45% of total)

ival-div: 14.0ms (39.4% of total)

ival-add: 3.0ms (8.4% of total)

ival-true: 1.0ms (2.8% of total)

ival-assert: 1.0ms (2.8% of total)

adjust: 0.0ms (0% of total)

prune6.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	229	5	234
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	230	5	235

Accuracy

100.0%

Counts

235 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶	77.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (+.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal 1 binary64))
▶	67.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	44.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
▶	47.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))

Compiler

Compiled 250 to 158 computations (36.8% saved)

series18.0ms (0.2%)

Memory

-17.2MiB live, 29.4MiB allocated; 4ms collecting garbage

Counts

26 → 96

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite298.0ms (3.8%)

Memory

-28.8MiB live, 176.5MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	3042
0	256	2772
1	1151	2712
0	8129	2642

Stop Event

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

Counts

122 → 365

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (-.f64 (.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.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 (neg.f64 (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.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 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))) (.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 6 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))))) #s(literal 2 binary64))) (.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (.f64 b b))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.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 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))))
(-.f64 (ratio-square-sum.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 #s(literal 1 binary64) (-.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (.f64 b b))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.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 3 binary64)) (+.f64 (pow.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 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (.f64 b b))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.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 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (.f64 b b))) #s(literal 1 binary64))))))
(-.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (.f64 b b))) #s(literal 1 binary64))
(+.f64 (-.f64 (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 (.f64 (.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64))) (-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (.f64 b b))))))
(/.f64 (+.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 6 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 6 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64))) (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64))))))
(-.f64 (ratio-square-sum.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #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 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64)))))
(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (neg.f64 (neg.f64 (+.f64 (.f64 a a) (.f64 b b)))) (neg.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (neg.f64 (fabs.f64 (+.f64 (.f64 a a) (.f64 b b)))) (fabs.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (neg.f64 (+.f64 (.f64 a a) (.f64 b b))) (+.f64 (.f64 a a) (*.f64 b b))))
(-.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (neg.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
(-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 #s(literal 4 binary64) b)) b))
(-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 b) b) #s(literal 4 binary64)))
(-.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal -4 binary64) (.f64 b b)))
(+.f64 (/.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 6 binary64)) (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)))))) (/.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 (.f64 b b) #s(literal 4 binary64)))
(.f64 (neg.f64 (neg.f64 (+.f64 (.f64 a a) (.f64 b b)))) (neg.f64 (neg.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
(.f64 (neg.f64 (fabs.f64 (+.f64 (.f64 a a) (.f64 b b)))) (neg.f64 (fabs.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
(.f64 (fabs.f64 (fabs.f64 (+.f64 (.f64 a a) (.f64 b b)))) (fabs.f64 (fabs.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 a a) (.f64 b b)))) (exp.f64 (log.f64 (+.f64 (.f64 a a) (*.f64 b b)))))
(.f64 (neg.f64 (+.f64 (.f64 a a) (.f64 b b))) (neg.f64 (+.f64 (.f64 a a) (*.f64 b b))))
(.f64 (fabs.f64 (+.f64 (.f64 a a) (.f64 b b))) (fabs.f64 (+.f64 (.f64 a a) (*.f64 b b))))
(.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (*.f64 b b)))
(ratio-of-squares.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b)))
(ratio-of-squares.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (log.f64 (+.f64 (.f64 a a) (.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (+.f64 (.f64 a a) (.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (+.f64 (.f64 a a) (.f64 b b))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))))) (-.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b)))))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 b b)))) (-.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 b b))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b)))) (-.f64 (.f64 (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (.f64 b b)))) (.f64 (.f64 (.f64 a a) (+.f64 (.f64 a a) (.f64 b b))) (.f64 (.f64 b b) (+.f64 (.f64 a a) (*.f64 b b)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 b b)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a))) (-.f64 (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 b b)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 b b))) (.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (.f64 a a)) (.f64 (+.f64 (.f64 a a) (.f64 b b)) (*.f64 b b))))))
(/.f64 (.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 (.f64 (+.f64 a b) (-.f64 a b)) (.f64 (+.f64 a b) (-.f64 a b))))
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(-.f64 (.f64 a a) (.f64 (neg.f64 a) a))
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#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+.f64 (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 a a) (.f64 #s(literal -2 binary64) (.f64 b b))) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (*.f64 b b)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+.f64 (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (*.f64 b b))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (-.f64 (+.f64 (.f64 (-.f64 (.f64 a a) (.f64 #s(literal -2 binary64) (.f64 b b))) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (*.f64 b b))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (pow.f64 b #s(literal 4 binary64)))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+.f64 (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+.f64 (.f64 (-.f64 (.f64 a a) (.f64 #s(literal -2 binary64) (.f64 b b))) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (*.f64 b b))
#s(approx (+ (* a a) (* b b)) (+.f64 (.f64 a a) (.f64 b b)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+.f64 (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 (.f64 b b) #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 a a) (.f64 #s(literal -2 binary64) (.f64 b b))) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (*.f64 b b))) #s(literal 1 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (*.f64 b b)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+.f64 (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (*.f64 b b))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (-.f64 (+.f64 (.f64 (-.f64 (.f64 a a) (.f64 #s(literal -2 binary64) (.f64 b b))) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (*.f64 b b))))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (*.f64 b b)))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (+.f64 (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (*.f64 b b))))
#s(approx (+ (+ 4 (* b b)) (* (* a a) 2)) (-.f64 (*.f64 b b) #s(literal -4 binary64)))
#s(approx (+ (+ 4 (* b b)) (* (* a a) 2)) (-.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) (*.f64 a a))))
#s(approx (* (* a a) 2) (.f64 (.f64 a a) #s(literal 2 binary64)))
#s(approx (pow a 4) (pow.f64 a #s(literal 4 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) (.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (-.f64 (+.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64))))
#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))) (.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (pow.f64 a #s(literal 4 binary64)))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (.f64 (+.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (*.f64 a a))
#s(approx (+ (* a a) (* b b)) (.f64 (-.f64 (ratio-of-squares.f64 b a) #s(literal -1 binary64)) (.f64 a a)))
#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) (.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (-.f64 (+.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64))))
#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))) (.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 (.f64 b b) a) (ratio-of-squares.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 #s(literal -2 binary64) (.f64 b b))) (.f64 a a)))
#s(approx (+ (+ 4 (* b b)) (* (* a a) 2)) (.f64 (.f64 a a) #s(literal 2 binary64)))
#s(approx (+ (+ 4 (* b b)) (* (* a a) 2)) (.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64))) (ratio-of-squares.f64 b a)) (*.f64 a a)))
#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) (+.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 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) (+.f64 (.f64 (-.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) (.f64 a a))) (*.f64 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))) (+.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 b b)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (-.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) (.f64 a a))) (*.f64 b b))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+.f64 (+.f64 (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (* 4 (* b b)) (.f64 (.f64 b b) #s(literal 4 binary64)))
#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) (+.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 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) (+.f64 (.f64 (-.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) (.f64 a a))) (*.f64 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))) (+.f64 (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 b b)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (-.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) (.f64 a a))) (*.f64 b b))))
#s(approx (* (* b b) (+ (* b b) 4)) (.f64 (.f64 b b) #s(literal 4 binary64)))
#s(approx (* (* b b) (+ (* b b) 4)) (.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (*.f64 b b)))
#s(approx (+ 4 (* b b)) #s(literal 4 binary64))
#s(approx (+ 4 (* b b)) (-.f64 (*.f64 b b) #s(literal -4 binary64)))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 b b)))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (-.f64 (-.f64 (.f64 b b) #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) (.f64 a a))) (*.f64 b b)))
#s(approx (+ (+ 4 (* b b)) (* (* a a) 2)) (-.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal -4 binary64)))
#s(approx (+ 4 (* b b)) #s(literal 4 binary64))
#s(approx (+ 4 (* b b)) (-.f64 (*.f64 b b) #s(literal -4 binary64)))
#s(approx (pow b 4) (pow.f64 b #s(literal 4 binary64)))
#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) (.f64 (-.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (-.f64 (+.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64))))) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#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))) (.f64 (-.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64))))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (.f64 (+.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (.f64 (-.f64 (ratio-of-squares.f64 a b) #s(literal -1 binary64)) (.f64 b b)))
#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) (.f64 (-.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (-.f64 (+.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64))))) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#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))) (.f64 (-.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64))))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (* b b) (+ (* b b) 4)) (pow.f64 b #s(literal 4 binary64)))
#s(approx (* (* b b) (+ (* b b) 4)) (.f64 (-.f64 (.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ 4 (* b b)) (*.f64 b b))
#s(approx (+ 4 (* b b)) (.f64 (-.f64 (.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 b b)))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (pow.f64 b #s(literal 4 binary64)))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (-.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (+ 4 (* b b)) (* (* a a) 2)) (*.f64 b b))
#s(approx (+ (+ 4 (* b b)) (* (* a a) 2)) (.f64 (-.f64 (-.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -4 binary64) (pow.f64 b #s(literal -2 binary64)))) (.f64 b b)))
#s(approx (+ 4 (* b b)) (*.f64 b b))
#s(approx (+ 4 (* b b)) (.f64 (-.f64 (.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 b b)))

eval330.0ms (4.3%)

Memory

22.7MiB live, 453.7MiB allocated; 78ms collecting garbage

Samples

118.0ms	2 368×	0	valid
96.0ms	1 472×	0	invalid

Compiler

Compiled 17 823 to 1 992 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-div: 45.0ms (45.6% of total)

ival-mult: 36.0ms (36.5% of total)

ival-add: 13.0ms (13.2% of total)

ival-true: 2.0ms (2% of total)

adjust: 1.0ms (1% of total)

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

prune127.0ms (1.6%)

Memory

-4.6MiB live, 130.7MiB allocated; 16ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	514	7	521
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	516	10	526

Accuracy

100.0%

Counts

526 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.4%	(-.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 (-.f64 (ratio-of-squares.f64 a b) #s(literal -1 binary64)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	79.9%	(-.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 a a))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
✓	77.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (+.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal 1 binary64))
▶	49.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) #s(approx (+ 4 (* b b)) #s(literal 4 binary64)))) #s(literal 1 binary64))
▶	67.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 b (.f64 b (-.f64 (*.f64 b b) #s(literal -4 binary64))))) #s(literal 1 binary64))
	44.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 (.f64 b b) a) (ratio-of-squares.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 #s(literal -2 binary64) (.f64 b b))) (.f64 a a)))) #s(literal 1 binary64))
✓	44.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
✓	47.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
▶	44.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 b b) (*.f64 b b)))
▶	47.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))

Samples

72.0ms	1 414×	0	valid
5.0ms	122×	0	invalid

Compiler

Compiled 517 to 309 computations (40.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 18.0ms (64.9% of total)

ival-div: 8.0ms (28.8% of total)

ival-true: 1.0ms (3.6% of total)

ival-assert: 1.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

31.7MiB live, 31.7MiB allocated; 0ms collecting garbage

Counts

30 → 99

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite192.0ms (2.5%)

Memory

-24.8MiB live, 220.4MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	3003
0	271	2663
1	1195	2635
0	8209	2585

Stop Event

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

Counts

129 → 430

Calls

Call 1

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

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

eval1.1s (14.6%)

Memory

28.8MiB live, 1 633.5MiB allocated; 273ms collecting garbage

Samples

727.0ms	14 861×	0	valid
76.0ms	1 267×	0	invalid

Compiler

Compiled 21 701 to 2 515 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 404.0ms

ival-mult: 280.0ms (69.2% of total)

ival-div: 99.0ms (24.5% of total)

ival-true: 9.0ms (2.2% of total)

ival-add: 7.0ms (1.7% of total)

ival-assert: 5.0ms (1.2% of total)

adjust: 4.0ms (1% of total)

prune61.0ms (0.8%)

Memory

10.6MiB live, 110.7MiB allocated; 13ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	582	2	584
Fresh	0	2	2
Picked	1	4	5
Done	0	3	3
Total	583	11	594

Accuracy

100.0%

Counts

594 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.5%	(-.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 (-.f64 (.f64 a (/.f64 a (.f64 b b))) #s(literal -1 binary64)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
▶	79.9%	(-.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 a a))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶	62.4%	(-.f64 (+.f64 (.f64 #s(approx (+ ( a a) (* b b)) (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 (-.f64 (ratio-of-squares.f64 a b) #s(literal -1 binary64)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
✓	77.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (+.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal 1 binary64))
✓	49.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) #s(approx (+ 4 (* b b)) #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	67.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 b (.f64 b (-.f64 (*.f64 b b) #s(literal -4 binary64))))) #s(literal 1 binary64))
▶	44.3%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 (.f64 b b) a) (ratio-of-squares.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 #s(literal -2 binary64) (.f64 b b))) (.f64 a a)))) #s(literal 1 binary64))
✓	44.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
✓	47.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
✓	44.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 b b) (*.f64 b b)))
✓	47.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))

Samples

30.0ms	707×	0	valid
2.0ms	61×	0	invalid

Compiler

Compiled 337 to 200 computations (40.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (65.6% of total)

ival-div: 4.0ms (29.2% of total)

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

adjust: 0.0ms (0% of total)

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

series31.0ms (0.4%)

Memory

-4.0MiB live, 42.6MiB allocated; 3ms collecting garbage

Counts

40 → 122

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	b	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (/ (* (* b b) (* b b)) (* a a)) (* b b) b a (/ (* (* b 2) (* b 2)) (* a a)) (* b 2) 2 (* -2 (* b b)) -2 (* a a) 1 (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* (- (/ (* a a) (* b b)) -1) (* b b)) (- (/ (* a a) (* b b)) -1) (/ (* a a) (* b b)) -1 (* 4 (* b b)) 4 (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (* (- (* a (/ a (* b b))) -1) (* b b)) (- (* a (/ a (* b b))) -1) (* a (/ a (* b b))) (/ a (* b b)))
6.0ms	a	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (/ (* (* b b) (* b b)) (* a a)) (* b b) b a (/ (* (* b 2) (* b 2)) (* a a)) (* b 2) 2 (* -2 (* b b)) -2 (* a a) 1 (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* (- (/ (* a a) (* b b)) -1) (* b b)) (- (/ (* a a) (* b b)) -1) (/ (* a a) (* b b)) -1 (* 4 (* b b)) 4 (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (* (- (* a (/ a (* b b))) -1) (* b b)) (- (* a (/ a (* b b))) -1) (* a (/ a (* b b))) (/ a (* b b)))
5.0ms	b	@	inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (/ (* (* b b) (* b b)) (* a a)) (* b b) b a (/ (* (* b 2) (* b 2)) (* a a)) (* b 2) 2 (* -2 (* b b)) -2 (* a a) 1 (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* (- (/ (* a a) (* b b)) -1) (* b b)) (- (/ (* a a) (* b b)) -1) (/ (* a a) (* b b)) -1 (* 4 (* b b)) 4 (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (* (- (* a (/ a (* b b))) -1) (* b b)) (- (* a (/ a (* b b))) -1) (* a (/ a (* b b))) (/ a (* b b)))
4.0ms	b	@	0	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (/ (* (* b b) (* b b)) (* a a)) (* b b) b a (/ (* (* b 2) (* b 2)) (* a a)) (* b 2) 2 (* -2 (* b b)) -2 (* a a) 1 (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* (- (/ (* a a) (* b b)) -1) (* b b)) (- (/ (* a a) (* b b)) -1) (/ (* a a) (* b b)) -1 (* 4 (* b b)) 4 (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (* (- (* a (/ a (* b b))) -1) (* b b)) (- (* a (/ a (* b b))) -1) (* a (/ a (* b b))) (/ a (* b b)))
3.0ms	a	@	-inf	((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (/ (* (* b b) (* b b)) (* a a)) (* b b) b a (/ (* (* b 2) (* b 2)) (* a a)) (* b 2) 2 (* -2 (* b b)) -2 (* a a) 1 (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* (- (/ (* a a) (* b b)) -1) (* b b)) (- (/ (* a a) (* b b)) -1) (/ (* a a) (* b b)) -1 (* 4 (* b b)) 4 (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+ (* a a) (* b b)) (* (- (* a (/ a (* b b))) -1) (* b b)) (- (* a (/ a (* b b))) -1) (* a (/ a (* b b))) (/ a (* b b)))

rewrite195.0ms (2.5%)

Memory

5.5MiB live, 229.6MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	310	4166
0	362	3680
1	1673	3598
0	8906	3542

Stop Event

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

Counts

162 → 658

Calls

Call 1

Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 (.f64 b b) a) (ratio-of-squares.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 #s(literal -2 binary64) (.f64 b b))) (.f64 a a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 (.f64 b b) a) (ratio-of-squares.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 #s(literal -2 binary64) (.f64 b b))) (.f64 a a))))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 (.f64 b b) a) (ratio-of-squares.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 #s(literal -2 binary64) (.f64 b b))) (.f64 a a)))
(.f64 (-.f64 (+.f64 (ratio-of-squares.f64 (.f64 b b) a) (ratio-of-squares.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 #s(literal -2 binary64) (.f64 b b))) (.f64 a a))
(-.f64 (+.f64 (ratio-of-squares.f64 (.f64 b b) a) (ratio-of-squares.f64 (.f64 b #s(literal 2 binary64)) a)) (.f64 #s(literal -2 binary64) (.f64 b b)))
(+.f64 (ratio-of-squares.f64 (.f64 b b) a) (ratio-of-squares.f64 (.f64 b #s(literal 2 binary64)) a))
(ratio-of-squares.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
(ratio-of-squares.f64 (*.f64 b #s(literal 2 binary64)) a)
(*.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(literal -2 binary64) (.f64 b b))
#s(literal -2 binary64)
(*.f64 a a)
#s(literal 1 binary64)
(-.f64 (+.f64 (.f64 #s(approx (+ ( a a) (* b b)) (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 (-.f64 (ratio-of-squares.f64 a b) #s(literal -1 binary64)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(+.f64 (.f64 #s(approx (+ ( a a) (* b b)) (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 (-.f64 (ratio-of-squares.f64 a b) #s(literal -1 binary64)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (.f64 b b)))
(.f64 #s(approx (+ ( a a) (* b b)) (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 (-.f64 (ratio-of-squares.f64 a b) #s(literal -1 binary64)) (.f64 b b))))
#s(approx (+ (* a a) (* b b)) (*.f64 a a))
#s(approx (+ (* a a) (* b b)) (.f64 (-.f64 (ratio-of-squares.f64 a b) #s(literal -1 binary64)) (.f64 b b)))
(.f64 (-.f64 (ratio-of-squares.f64 a b) #s(literal -1 binary64)) (.f64 b b))
(-.f64 (ratio-of-squares.f64 a b) #s(literal -1 binary64))
(ratio-of-squares.f64 a b)
#s(literal -1 binary64)
(.f64 #s(literal 4 binary64) (.f64 b b))
#s(literal 4 binary64)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 a a))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 a a))) (.f64 #s(literal 4 binary64) (*.f64 b b)))
(.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(approx (+ ( a a) (* b b)) (*.f64 a a)))
(+.f64 (.f64 a a) (.f64 b b))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 (-.f64 (.f64 a (/.f64 a (.f64 b b))) #s(literal -1 binary64)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
(+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 (-.f64 (.f64 a (/.f64 a (.f64 b b))) #s(literal -1 binary64)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (.f64 b b)))
(.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(approx (+ ( a a) (* b b)) (.f64 (-.f64 (.f64 a (/.f64 a (.f64 b b))) #s(literal -1 binary64)) (.f64 b b))))
#s(approx (+ (* a a) (* b b)) (.f64 (-.f64 (.f64 a (/.f64 a (.f64 b b))) #s(literal -1 binary64)) (.f64 b b)))
(.f64 (-.f64 (.f64 a (/.f64 a (.f64 b b))) #s(literal -1 binary64)) (.f64 b b))
(-.f64 (.f64 a (/.f64 a (.f64 b b))) #s(literal -1 binary64))
(.f64 a (/.f64 a (.f64 b b)))
(/.f64 a (*.f64 b b))
#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) (* 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 (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) #s(hole binary64 (* (pow b 2) (+ 4 (pow b 2)))))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))))
#s(approx (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) #s(hole binary64 (+ (* 4 (pow b 2)) (pow b 4))))
#s(approx (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))))
#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) #s(hole binary64 (/ (+ (* 4 (pow b 2)) (pow b 4)) (pow a 2))))
#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) #s(hole binary64 (/ (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) (pow a 2))))
#s(approx (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) #s(hole binary64 (/ (+ (* 4 (pow b 2)) (pow b 4)) (pow a 2))))
#s(approx (/ (* (* b b) (* b b)) (* a a)) #s(hole binary64 (/ (pow b 4) (pow a 2))))
#s(approx a #s(hole binary64 a))
#s(approx (/ (* (* b 2) (* b 2)) (* a a)) #s(hole binary64 (* 4 (/ (pow b 2) (pow a 2)))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 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) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (pow b 4))))
#s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))))
#s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 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)) (+ (* a a) (* b b))) #s(hole binary64 (pow b 4)))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) #s(hole binary64 (+ (* (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 (* (- (/ (* a a) (* b b)) -1) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (* (- (/ (* a a) (* b b)) -1) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (- (/ (* a a) (* b b)) -1) #s(hole binary64 1))
#s(approx (- (/ (* a a) (* b b)) -1) #s(hole binary64 (+ 1 (/ (pow a 2) (pow b 2)))))
#s(approx (/ (* a a) (* b b)) #s(hole binary64 (/ (pow a 2) (pow b 2))))
#s(approx (* (- (* a (/ a (* b b))) -1) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (* (- (* a (/ a (* b b))) -1) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (- (* a (/ a (* b b))) -1) #s(hole binary64 1))
#s(approx (- (* a (/ a (* b b))) -1) #s(hole binary64 (+ 1 (/ (pow a 2) (pow b 2)))))
#s(approx (* a (/ a (* b b))) #s(hole binary64 (/ (pow a 2) (pow b 2))))
#s(approx (/ a (* b b)) #s(hole binary64 (/ a (pow b 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) (* 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 (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) #s(hole binary64 (* 2 (* (pow a 2) (pow b 2)))))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) #s(hole binary64 (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))))
#s(approx (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) #s(hole binary64 (* 2 (* (pow a 2) (pow b 2)))))
#s(approx (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) #s(hole binary64 (* (pow a 2) (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 2)))))))
#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) #s(hole binary64 (* 2 (pow b 2))))
#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) #s(hole binary64 (- (+ (* 4 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 2))) (* -2 (pow b 2)))))
#s(approx (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 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 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) #s(hole binary64 (pow a 4)))
#s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 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)) (+ (* a a) (* b b))) #s(hole binary64 (pow a 4)))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (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 (* (- (/ (* a a) (* b b)) -1) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (* (- (/ (* a a) (* b b)) -1) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (/ (* a a) (* b b)) -1) #s(hole binary64 (/ (pow a 2) (pow b 2))))
#s(approx (- (/ (* a a) (* b b)) -1) #s(hole binary64 (* (pow a 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (* (- (* a (/ a (* b b))) -1) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (* (- (* a (/ a (* b b))) -1) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (* a (/ a (* b b))) -1) #s(hole binary64 (/ (pow a 2) (pow b 2))))
#s(approx (- (* a (/ a (* b b))) -1) #s(hole binary64 (* (pow a 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#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) (* 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 (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) #s(hole binary64 (* (pow b 2) (+ 4 (* 2 (pow a 2))))))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) #s(hole binary64 (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))))
#s(approx (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) #s(hole binary64 (* (pow a 2) (* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2))))))))
#s(approx (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) #s(hole binary64 (* (pow b 2) (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))))
#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) #s(hole binary64 (* (pow b 2) (+ 2 (* 4 (/ 1 (pow a 2)))))))
#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) #s(hole binary64 (* (pow b 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) #s(hole binary64 (* 4 (/ (pow b 2) (pow a 2)))))
#s(approx (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) #s(hole binary64 (* (pow b 2) (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (* b 2) #s(hole binary64 (* 2 b)))
#s(approx (* -2 (* b b)) #s(hole binary64 (* -2 (pow b 2))))
#s(approx (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))))
#s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))))
#s(approx (- (/ (* a a) (* b b)) -1) #s(hole binary64 (/ (+ (pow a 2) (pow b 2)) (pow b 2))))
#s(approx (* 4 (* b b)) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (- (* a (/ a (* b b))) -1) #s(hole binary64 (/ (+ (pow a 2) (pow b 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) (* 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 (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) #s(hole binary64 (pow b 4)))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) #s(hole binary64 (pow b 4)))
#s(approx (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) #s(hole binary64 (* (pow b 4) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))))))
#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) #s(hole binary64 (/ (pow b 4) (pow a 2))))
#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) #s(hole binary64 (* (pow b 4) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))))
#s(approx (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) #s(hole binary64 (/ (pow b 4) (pow a 2))))
#s(approx (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) #s(hole binary64 (* (pow b 4) (+ (* 4 (/ 1 (* (pow a 2) (pow b 2)))) (/ 1 (pow a 2))))))
#s(approx (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 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 (- (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 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 (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* 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)) (+ (* a a) (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (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 (* (- (/ (* a a) (* b b)) -1) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (* (- (* a (/ a (* b b))) -1) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (.f64 a a)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (*.f64 a a)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (.f64 a a)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (.f64 a a)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (*.f64 a a)))) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (.f64 a a)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (*.f64 a a)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (.f64 a a)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (.f64 a a)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (*.f64 a a)))) #s(literal 1 binary64)))))
(-.f64 (ratio-square-sum.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (.f64 a a)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (*.f64 a a)))) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (.f64 a a)))) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (.f64 a a)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (.f64 a a)))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (.f64 a a)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (*.f64 a a)))) #s(literal 1 binary64))))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (*.f64 a a))))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (*.f64 a a)))
(.f64 (.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (*.f64 b b)) a) a)
(.f64 (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (.f64 b b)) (*.f64 a a))
(.f64 (.f64 a a) (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 a a) (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))) (.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 (.f64 a a) (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a))) (.f64 (.f64 a a) (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a)))) (.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))) (.f64 (.f64 a a) (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (*.f64 b b) a)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 a a)) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a)) (.f64 a a)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 a a)) (.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 a a))) (-.f64 (.f64 (.f64 (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a)) (.f64 a a)) (.f64 (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a)) (.f64 a a))) (.f64 (.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 a a)) (.f64 (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a)) (*.f64 a a))))))
(+.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 2 binary64))) (.f64 (.f64 a a) (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a))))
(+.f64 (.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 a a)) (.f64 (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a)) (.f64 a a)))
(.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (*.f64 b b))
(.f64 (.f64 b b) (+.f64 (+.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (ratio-of-squares.f64 (.f64 b b) a) #s(literal 3 binary64))) (+.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64))) (+.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)))) (-.f64 (pow.f64 (ratio-of-squares.f64 (.f64 b b) a) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64))) (ratio-of-squares.f64 (*.f64 b b) a)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a)) #s(literal 3 binary64)) (.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 8 binary64))) (+.f64 (ratio-of-squares.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 a a)) (-.f64 (pow.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a)) (.f64 (.f64 b b) #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 (pow.f64 (ratio-of-squares.f64 b a) #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 (-.f64 (ratio-of-squares.f64 (.f64 b b) a) (.f64 (.f64 b b) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (ratio-of-squares.f64 (.f64 b b) a) (.f64 (.f64 b b) #s(literal -2 binary64))) (-.f64 (ratio-of-squares.f64 (.f64 b b) a) (.f64 (.f64 b b) #s(literal -2 binary64)))) (.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (-.f64 (ratio-of-squares.f64 (.f64 b b) a) (.f64 (*.f64 b b) #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 (.f64 b b) a) #s(literal 3 binary64)) (pow.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (.f64 (.f64 b b) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (ratio-of-squares.f64 (.f64 b b) a) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (.f64 (.f64 b b) #s(literal -2 binary64))) (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (.f64 (.f64 b b) #s(literal -2 binary64)))) (.f64 (ratio-of-squares.f64 (.f64 b b) a) (-.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (.f64 (*.f64 b b) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (ratio-of-squares.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) #s(literal 4 binary64))) (.f64 a a)) (pow.f64 (.f64 (.f64 b b) #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a)) (.f64 (.f64 b b) #s(literal -2 binary64)))))
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(ratio-of-squares.f64 (fabs.f64 (fabs.f64 a)) (neg.f64 b))
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(ratio-of-squares.f64 (neg.f64 a) (neg.f64 b))
(ratio-of-squares.f64 (neg.f64 a) (fabs.f64 b))
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(ratio-of-squares.f64 a b)
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(/.f64 (neg.f64 (neg.f64 (.f64 a a))) (neg.f64 (neg.f64 (.f64 b b))))
(/.f64 (/.f64 (*.f64 a a) b) b)
(/.f64 (neg.f64 (.f64 a a)) (neg.f64 (.f64 b b)))
(/.f64 (.f64 a a) (.f64 b b))
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(/.f64 (/.f64 a b) b)
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#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))))
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#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a)))
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#s(approx (/ (* (* b b) (* b b)) (* a a)) (ratio-of-squares.f64 (*.f64 b b) a))
#s(approx a a)
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#s(approx (* a a) (*.f64 a a))
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#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+.f64 (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 b b) #s(literal 2 binary64)) (.f64 a a)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (.f64 (*.f64 b b) #s(literal 4 binary64))))
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#s(approx (+ (* a a) (* b b)) (*.f64 b b))
#s(approx (+ (* a a) (* b b)) (+.f64 (.f64 a a) (.f64 b b)))
#s(approx (* (- (/ (* a a) (* b b)) -1) (* b b)) (*.f64 b b))
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#s(approx (- (/ (* a a) (* b b)) -1) #s(literal 1 binary64))
#s(approx (- (/ (* a a) (* b b)) -1) (+.f64 (ratio-of-squares.f64 a b) #s(literal 1 binary64)))
#s(approx (/ (* a a) (* b b)) (ratio-of-squares.f64 a b))
#s(approx (* (- (/ (* a a) (* b b)) -1) (* b b)) (*.f64 b b))
#s(approx (* (- (/ (* a a) (* b b)) -1) (* b b)) (+.f64 (.f64 a a) (.f64 b b)))
#s(approx (- (/ (* a a) (* b b)) -1) #s(literal 1 binary64))
#s(approx (- (/ (* a a) (* b b)) -1) (+.f64 (ratio-of-squares.f64 a b) #s(literal 1 binary64)))
#s(approx (/ (* a a) (* b b)) (ratio-of-squares.f64 a b))
#s(approx (/ a (* b b)) (/.f64 a (*.f64 b b)))
#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) (.f64 (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (-.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64))))
#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))) (.f64 (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))))
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#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (.f64 (.f64 b b) #s(literal 2 binary64)))
#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
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#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (-.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 b b) (+.f64 (*.f64 b b) #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal -4 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
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#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (pow.f64 a #s(literal 4 binary64)))
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#s(approx (* (- (/ (* a a) (* b b)) -1) (* b b)) (*.f64 a a))
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#s(approx (- (/ (* a a) (* b b)) -1) (ratio-of-squares.f64 a b))
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#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+.f64 (.f64 (+.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 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) (+.f64 (.f64 (.f64 b b) (+.f64 (+.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 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))) (+.f64 (.f64 (+.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 b b)) (pow.f64 a #s(literal 4 binary64))))
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#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (+.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 b b)))
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#s(approx (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))))
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#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 b b)))
#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (.f64 (+.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (ratio-of-squares.f64 b a)) (*.f64 b b)))
#s(approx (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (*.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)))
#s(approx (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (+.f64 (.f64 (ratio-of-squares.f64 b a) #s(literal 4 binary64)) (ratio-of-squares.f64 (.f64 b b) a)))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
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#s(approx (* -2 (* b b)) (.f64 (.f64 b b) #s(literal -2 binary64)))
#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) (+.f64 (.f64 (+.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 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) (+.f64 (.f64 (.f64 b b) (+.f64 (+.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 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))) (+.f64 (.f64 (+.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 b b)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (.f64 b b) (+.f64 (+.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 b b)))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (+.f64 (+.f64 (.f64 (pow.f64 (.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (/ (* a a) (* b b)) -1) (+.f64 (ratio-of-squares.f64 a b) #s(literal 1 binary64)))
#s(approx (* 4 (* b b)) (.f64 (.f64 b b) #s(literal 4 binary64)))
#s(approx (- (/ (* a a) (* b b)) -1) (+.f64 (ratio-of-squares.f64 a b) #s(literal 1 binary64)))
#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) (.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (-.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#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))) (.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (pow.f64 b #s(literal 4 binary64)))
#s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) (pow.f64 b #s(literal 4 binary64)))
#s(approx (* (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (* a a)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) b) (/.f64 (.f64 a a) b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (ratio-of-squares.f64 (*.f64 b b) a))
#s(approx (- (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (.f64 (+.f64 (/.f64 (+.f64 (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (ratio-of-squares.f64 (*.f64 b b) a))
#s(approx (+ (/ (* (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (*.f64 (+.f64 (ratio-of-squares.f64 (/.f64 #s(literal 2 binary64) a) b) (pow.f64 a #s(literal -2 binary64))) (pow.f64 b #s(literal 4 binary64))))
#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) (.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (-.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#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))) (.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (.f64 (+.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (.f64 (+.f64 (+.f64 (.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (ratio-of-squares.f64 a b) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (.f64 (+.f64 (ratio-of-squares.f64 a b) #s(literal 1 binary64)) (.f64 b b)))
#s(approx (* (- (/ (* a a) (* b b)) -1) (* b b)) (.f64 (+.f64 (ratio-of-squares.f64 a b) #s(literal 1 binary64)) (.f64 b b)))
#s(approx (* (- (/ (* a a) (* b b)) -1) (* b b)) (.f64 (+.f64 (ratio-of-squares.f64 a b) #s(literal 1 binary64)) (.f64 b b)))

eval2.8s (36.1%)

Memory

62.5MiB live, 3 844.0MiB allocated; 1.6s collecting garbage

Samples

1.9s	34 315×	0	valid
201.0ms	3 573×	0	invalid

Compiler

Compiled 46 723 to 4 539 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 905.0ms (73.7% of total)

ival-div: 267.0ms (21.7% of total)

ival-true: 20.0ms (1.6% of total)

ival-add: 14.0ms (1.1% of total)

ival-assert: 13.0ms (1.1% of total)

adjust: 8.0ms (0.7% of total)

prune114.0ms (1.5%)

Memory

-4.0MiB live, 155.7MiB allocated; 20ms collecting garbage

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	912	4	916
Fresh	0	0	0
Picked	4	0	4
Done	0	7	7
Total	916	11	927

Accuracy

100.0%

Counts

927 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.6%	(-.f64 (+.f64 (.f64 #s(approx (+ ( a a) (* b b)) (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 (-.f64 (.f64 (/.f64 a (.f64 b b)) a) #s(literal -1 binary64)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64))
	53.9%	(-.f64 (+.f64 (.f64 #s(approx (+ ( a a) (* b b)) (.f64 a a)) #s(approx (+ ( a a) (* b b)) (.f64 #s(approx (- (/ ( a a) (* b b)) -1) (ratio-of-squares.f64 a b)) (.f64 b b)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
	84.7%	(-.f64 (+.f64 (.f64 #s(approx (+ ( a a) (* b b)) (.f64 a a)) #s(approx (+ ( a a) (* b b)) #s(approx (* (- (/ (* a a) (* b b)) -1) (* b b)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
✓	77.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (+.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal 1 binary64))
✓	49.7%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) #s(approx (+ 4 (* b b)) #s(literal 4 binary64)))) #s(literal 1 binary64))
✓	67.5%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 b (.f64 b (-.f64 (*.f64 b b) #s(literal -4 binary64))))) #s(literal 1 binary64))
	37.0%	(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (+ (+ 4 (* b b)) (* (* a a) 2)) (* b b)) (.f64 #s(approx (- (+ (/ ( (* b b) (* b b)) (* a a)) (/ (* (* b 2) (* b 2)) (* a a))) (* -2 (* b b))) (ratio-of-squares.f64 (.f64 b b) a)) (.f64 a a)))) #s(literal 1 binary64))
✓	44.3%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
✓	47.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
✓	44.2%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 b b) (*.f64 b b)))
✓	47.7%	#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (.f64 (.f64 a a) (*.f64 a a)))

Samples

70.0ms	1 158×	0	valid
5.0ms	122×	0	invalid

Compiler

Compiled 1 026 to 337 computations (67.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 20.0ms (71.7% of total)

ival-div: 7.0ms (25.1% of total)

ival-true: 1.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

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

regimes33.0ms (0.4%)

Memory

-2.2MiB live, 43.5MiB allocated; 6ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Calls

6 calls:

9.0ms	a
5.0ms	b
5.0ms	(*.f64 a 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)))
4.0ms	(*.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)

regimes22.0ms (0.3%)

Memory

-6.5MiB live, 38.7MiB allocated; 4ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

5.0ms	(-.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))
4.0ms	b
3.0ms	a
3.0ms	(*.f64 b b)
3.0ms	(*.f64 a a)

Results

Accuracy	Segments	Branch
98.5%	2	`(*.f64 b b)`
98.4%	2	`(*.f64 a a)`
84.7%	1	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
84.7%	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))`
98.4%	2	`a`
98.5%	2	`b`

Compiler

Compiled 40 to 32 computations (20% saved)

regimes23.0ms (0.3%)

Memory

-24.6MiB live, 26.3MiB allocated; 8ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

8.0ms	(*.f64 a a)
5.0ms	a
5.0ms	b
4.0ms	(*.f64 b b)

Results

Accuracy	Segments	Branch
96.5%	2	`(*.f64 a a)`
96.5%	2	`a`
95.8%	2	`(*.f64 b b)`
95.8%	2	`b`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
72.1%	2	`(*.f64 b b)`
72.1%	2	`b`
95.3%	2	`(*.f64 a a)`
95.3%	2	`a`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory

13.3MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

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

Outputs

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

4 calls:

2.0ms	a
1.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))
1.0ms	(*.f64 a a)
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
71.1%	2	`(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (.f64 b b)))`
71.1%	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))`
82.9%	2	`(*.f64 a a)`
82.9%	2	`a`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 40 to 32 computations (20% saved)

bsearch15.0ms (0.2%)

Memory

-28.0MiB live, 18.1MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	68441452384.45002	3346025016693.193

Samples

7.0ms

112×

valid

Compiler

Compiled 566 to 317 computations (44% saved)

Precisions

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

ival-mult: 2.0ms (42.9% of total)

ival-add: 1.0ms (21.4% of total)

ival-pow2: 1.0ms (21.4% 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)

bsearch13.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.2943029584252455	36.4452808090539

Samples

7.0ms

112×

valid

Compiler

Compiled 524 to 296 computations (43.5% saved)

Precisions

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

ival-mult: 2.0ms (43.6% of total)

ival-add: 1.0ms (21.8% of total)

ival-pow2: 1.0ms (21.8% 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)

bsearch13.0ms (0.2%)

Memory

14.4MiB live, 14.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.930218547197299e+34	4.7852979382106764e+36

Samples

7.0ms

112×

valid

Compiler

Compiled 384 to 261 computations (32% saved)

Precisions

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

ival-mult: 2.0ms (44.1% of total)

ival-add: 1.0ms (22% of total)

ival-pow2: 1.0ms (22% 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)

bsearch59.0ms (0.8%)

Memory

-22.7MiB live, 23.0MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	0.08661423133785179	1328.2584932507923

Samples

52.0ms

128×

valid

Compiler

Compiled 420 to 288 computations (31.4% saved)

Precisions

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

ival-mult: 2.0ms (41.7% of total)

ival-sub: 1.0ms (20.8% of total)

ival-add: 1.0ms (20.8% of total)

ival-pow2: 1.0ms (20.8% 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)

simplify46.0ms (0.6%)

Memory

0.4MiB live, 43.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	326
1	103	326
2	254	326
3	788	326
4	2366	326

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(if (<=.f64 b #s(literal 120000000000 binary64)) (-.f64 (+.f64 (.f64 #s(approx (+ ( a a) (* b b)) (.f64 a a)) #s(approx (+ ( a a) (* b b)) #s(approx (* (- (/ (* a a) (* b b)) -1) (* b b)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (+.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal 5764607523034235/18014398509481984 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 b (.f64 b (-.f64 (.f64 b b) #s(literal -4 binary64))))) #s(literal 1 binary64)) (-.f64 (+.f64 (.f64 #s(approx (+ (* a a) (* b b)) (.f64 a a)) #s(approx (+ ( a a) (* b b)) #s(approx (* (- (/ (* a a) (* b b)) -1) (* b b)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal 76000000000000002781246582656335872 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 b (.f64 b (-.f64 (.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 a a) (*.f64 a a))))
(if (<=.f64 (.f64 a a) #s(literal 1000 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) #s(approx (+ 4 (* b b)) #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))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) #s(approx (+ 4 (* b b)) #s(literal 4 binary64)))) #s(literal 1 binary64))

Outputs
(-.f64 (+.f64 (.f64 (+.f64 (.f64 a a) (.f64 b b)) (+.f64 (.f64 a a) (.f64 b b))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(if (<=.f64 b #s(literal 120000000000 binary64)) (-.f64 (+.f64 (.f64 #s(approx (+ ( a a) (* b b)) (.f64 a a)) #s(approx (+ ( a a) (* b b)) #s(approx (* (- (/ (* a a) (* b b)) -1) (* b b)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (.f64 b b))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 (+.f64 (+.f64 #s(literal 4 binary64) (.f64 b b)) (.f64 (.f64 a a) #s(literal 2 binary64))) (*.f64 b b))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal 5764607523034235/18014398509481984 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 b (.f64 b (-.f64 (.f64 b b) #s(literal -4 binary64))))) #s(literal 1 binary64)) (-.f64 (+.f64 (.f64 #s(approx (+ (* a a) (* b b)) (.f64 a a)) #s(approx (+ ( a a) (* b b)) #s(approx (* (- (/ (* a a) (* b b)) -1) (* b b)) (.f64 a a)))) (.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal 76000000000000002781246582656335872 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 b (.f64 b (-.f64 (.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 a a) (*.f64 a a))))
(if (<=.f64 (.f64 a a) #s(literal 1000 binary64)) (-.f64 #s(approx (+ (pow (+ ( a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) #s(approx (+ 4 (* b b)) #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))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (.f64 (.f64 b b) #s(approx (+ 4 (* b b)) #s(literal 4 binary64)))) #s(literal 1 binary64))

derivations229.0ms (3%)

Memory

24.6MiB live, 259.3MiB allocated; 37ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 326 to 63 computations (80.7% saved)

preprocess31.0ms (0.4%)

Memory

0.7MiB live, 47.0MiB allocated; 4ms collecting garbage

Remove

(abs b)

(abs a)

Compiler

Compiled 778 to 194 computations (75.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (15.3%)

explain164.0ms (2.1%)

preprocess147.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series9.0ms (0.1%)

rewrite176.0ms (2.3%)

eval241.0ms (3.1%)

prune6.0ms (0.1%)

series18.0ms (0.2%)

rewrite298.0ms (3.8%)

eval330.0ms (4.3%)

prune127.0ms (1.6%)

series18.0ms (0.2%)

rewrite192.0ms (2.5%)

eval1.1s (14.6%)

prune61.0ms (0.8%)

series31.0ms (0.4%)

rewrite195.0ms (2.5%)

eval2.8s (36.1%)

prune114.0ms (1.5%)

regimes33.0ms (0.4%)

regimes22.0ms (0.3%)

regimes23.0ms (0.3%)

regimes15.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch13.0ms (0.2%)

bsearch13.0ms (0.2%)

bsearch59.0ms (0.8%)

simplify46.0ms (0.6%)

derivations229.0ms (3%)

preprocess31.0ms (0.4%)

end0.0ms (0%)

Profiling