Metrics for Complex division, real part

start0.0ms (0%)

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

analyze48.0ms (0.9%)

Memory

-13.3MiB live, 34.6MiB allocated; 25ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
75%	74.9%	25%	0.2%	0%	0%	0%	5
75%	74.9%	25%	0.2%	0%	0%	0%	6
75%	74.9%	25%	0.2%	0%	0%	0%	7
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	8
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	9
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	10
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	11
96.9%	96.7%	3.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.4s (27.5%)

Memory

54.6MiB live, 1 269.9MiB allocated; 316ms collecting garbage

Samples

777.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 535.0ms

ival-mult: 331.0ms (61.9% of total)

ival-add: 144.0ms (26.9% of total)

ival-div: 54.0ms (10.1% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain149.0ms (2.9%)

Memory

-8.3MiB live, 233.8MiB allocated; 32ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
92	-	-	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
1	-	-	`(+.f64 (.f64 a c) (.f64 b d))`
0	-	-	`(+.f64 (.f64 c c) (.f64 d d))`
0	-	-	`a`
0	-	-	`d`
0	-	-	`(*.f64 d d)`
0	-	-	`(*.f64 c c)`
0	-	-	`(*.f64 a c)`
0	-	-	`c`
0	-	-	`b`
0	-	-	`(*.f64 b d)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/o	44	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	54
↳	`(*.f64 a c)`	overflow	30
↳	`(*.f64 b d)`	overflow	26
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	103
↳	`(*.f64 c c)`	overflow	56
↳	`(*.f64 d d)`	overflow	62
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/o	27	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	overflow	103
↳	`(*.f64 c c)`	overflow	56
↳	`(*.f64 d d)`	overflow	62
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	o/n	10	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	overflow	54
↳	`(*.f64 a c)`	overflow	30
↳	`(*.f64 b d)`	overflow	26
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	n/u	7	0
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	18
↳	`(*.f64 c c)`	underflow	62
↳	`(*.f64 d d)`	underflow	64
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/n	2	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	4
↳	`(*.f64 a c)`	underflow	32
↳	`(*.f64 b d)`	underflow	26
`/.f64`	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`	u/u	2	0
↳	`(+.f64 (.f64 a c) (.f64 b d))`	underflow	4
↳	`(*.f64 a c)`	underflow	32
↳	`(*.f64 b d)`	underflow	26
↳	`(+.f64 (.f64 c c) (.f64 d d))`	underflow	18
↳	`(*.f64 c c)`	underflow	62
↳	`(*.f64 d d)`	underflow	64
`+.f64`	`(+.f64 (.f64 a c) (.f64 b d))`	nan-rescue	1	0
↳	`(*.f64 a c)`	overflow	30
↳	`(*.f64 b d)`	overflow	26

Confusion

	Predicted +	Predicted -
+	92	0
-	0	164

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	0
-	0	0	164

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	164
1	91
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 14.0ms (64.3% of total)

ival-add: 4.0ms (18.4% of total)

ival-div: 3.0ms (13.8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess44.0ms (0.9%)

Memory

-9.6MiB live, 39.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	229
1	204	225
2	491	225
3	900	225
4	1528	225
5	1875	225
0	11	15
0	18	15
1	38	15
2	100	15
3	198	15
4	310	15
5	435	15
6	441	15
0	441	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Outputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (+.f64 (.f64 d d) (.f64 c c)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.0%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

series20.0ms (0.4%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Counts

11 → 51

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
(+.f64 (.f64 a c) (.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (.f64 c c) (.f64 d d))
(*.f64 c c)
(*.f64 d d)

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

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	d	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms	b	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms	a	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms	d	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))

rewrite254.0ms (4.9%)

Memory

-58.6MiB live, 262.7MiB allocated; 144ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	1350
0	257	1292
1	1463	1256
0	8348	1232

Stop Event

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

Counts

62 → 141

Calls

Call 1

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

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

eval246.0ms (4.7%)

Memory

20.0MiB live, 125.2MiB allocated; 12ms collecting garbage

Samples

206.0ms	771×	0	valid
11.0ms	253×	0	invalid

Compiler

Compiled 4 014 to 594 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult: 188.0ms (96.6% of total)

ival-div: 6.0ms (3.1% of total)

ival-true: 1.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

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

prune66.0ms (1.3%)

Memory

-27.4MiB live, 17.8MiB allocated; 7ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	138	11	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	11	150

Accuracy

100.0%

Counts

150 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.6%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
▶	37.5%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	42.1%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
▶	42.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
	52.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 d b) c) a) c))
▶	55.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 c a) d) b) d))
	43.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
▶	42.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	52.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (*.f64 (/.f64 b c) (/.f64 d c)) (/.f64 a c)))
	54.8%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (*.f64 (/.f64 a d) (/.f64 c d)) (/.f64 b d)))
▶	58.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 (+.f64 (/.f64 (.f64 d b) a) c) (+.f64 (.f64 d d) (.f64 c c))) a))

Compiler

Compiled 502 to 328 computations (34.7% saved)

series44.0ms (0.9%)

Memory

11.4MiB live, 56.6MiB allocated; 4ms collecting garbage

Counts

28 → 146

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 (+.f64 (/.f64 (.f64 d b) a) c) (+.f64 (.f64 d d) (.f64 c c))) a))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 d b) a) c) (+.f64 (.f64 d d) (.f64 c c))) a)
(/.f64 (+.f64 (/.f64 (.f64 d b) a) c) (+.f64 (.f64 d d) (*.f64 c c)))
(+.f64 (/.f64 (*.f64 d b) a) c)
(/.f64 (*.f64 d b) a)
(*.f64 d b)
d
b
a
c
(+.f64 (.f64 d d) (.f64 c c))
(*.f64 d d)
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 c a))
(*.f64 c a)
(+.f64 (.f64 c c) (.f64 d d))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(+.f64 (.f64 a c) (.f64 b d))
(*.f64 a c)
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 c a) d) b) d))
(/.f64 (+.f64 (/.f64 (*.f64 c a) d) b) d)
(+.f64 (/.f64 (*.f64 c a) d) b)
(/.f64 (*.f64 c a) d)

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

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	b	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (/ (* d b) a) c) (+ (* d d) (* c c))) a) (/ (+ (/ (* d b) a) c) (+ (* d d) (* c c))) (+ (/ (* d b) a) c) (/ (* d b) a) (* d b) d b a c (+ (* d d) (* c c)) (* d d) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (* c a) d))
5.0ms	d	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (/ (* d b) a) c) (+ (* d d) (* c c))) a) (/ (+ (/ (* d b) a) c) (+ (* d d) (* c c))) (+ (/ (* d b) a) c) (/ (* d b) a) (* d b) d b a c (+ (* d d) (* c c)) (* d d) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (* c a) d))
4.0ms	a	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (/ (* d b) a) c) (+ (* d d) (* c c))) a) (/ (+ (/ (* d b) a) c) (+ (* d d) (* c c))) (+ (/ (* d b) a) c) (/ (* d b) a) (* d b) d b a c (+ (* d d) (* c c)) (* d d) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (* c a) d))
3.0ms	d	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (/ (* d b) a) c) (+ (* d d) (* c c))) a) (/ (+ (/ (* d b) a) c) (+ (* d d) (* c c))) (+ (/ (* d b) a) c) (/ (* d b) a) (* d b) d b a c (+ (* d d) (* c c)) (* d d) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (* c a) d))
3.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (/ (* d b) a) c) (+ (* d d) (* c c))) a) (/ (+ (/ (* d b) a) c) (+ (* d d) (* c c))) (+ (/ (* d b) a) c) (/ (* d b) a) (* d b) d b a c (+ (* d d) (* c c)) (* d d) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (* c a) d))

rewrite199.0ms (3.8%)

Memory

34.4MiB live, 259.1MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	552	4306
0	581	4083
1	3020	4061
0	8986	4013

Stop Event

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

Counts

174 → 302

Calls

Call 1

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

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

eval217.0ms (4.2%)

Memory

-14.4MiB live, 292.2MiB allocated; 46ms collecting garbage

Samples

69.0ms	1 218×	0	valid
49.0ms	318×	0	invalid

Compiler

Compiled 13 158 to 1 500 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 36.0ms (70.2% of total)

ival-div: 13.0ms (25.3% of total)

ival-true: 1.0ms (1.9% of total)

ival-assert: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

prune102.0ms (2%)

Memory

-32.4MiB live, 111.6MiB allocated; 11ms collecting garbage

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	365	8	373
Fresh	2	4	6
Picked	2	3	5
Done	0	0	0
Total	369	15	384

Accuracy

100.0%

Counts

384 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.6%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
✓	37.5%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	42.1%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
✓	42.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
	52.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 d b) c) a) c))
▶	54.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))
▶	25.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (/.f64 (*.f64 c a) d)) d))
▶	43.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) b) d))
✓	42.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
	52.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (*.f64 (/.f64 b c) (/.f64 d c)) (/.f64 a c)))
	49.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 b (/.f64 d (.f64 c c))) (/.f64 a c)))
▶	50.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d)))
	40.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 d b) a) (.f64 c c)) (-.f64 (/.f64 (.f64 d b) a) c)) (+.f64 (.f64 d d) (.f64 c c))) a))
	48.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ (+ (/ ( d b) a) c) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 d b) a) c) #s(literal 1 binary64)) c)) a))
	22.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (.f64 a (/.f64 c (.f64 d d)))))

Samples

34.0ms	460×	0	valid
4.0ms	52×	0	invalid

Compiler

Compiled 753 to 465 computations (38.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 14.0ms (67.7% of total)

ival-div: 5.0ms (24.2% of total)

ival-true: 1.0ms (4.8% of total)

adjust: 0.0ms (0% of total)

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

series49.0ms (0.9%)

Memory

4.3MiB live, 48.5MiB allocated; 8ms collecting garbage

Counts

28 → 113

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))
(/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d)
(+.f64 (*.f64 c (/.f64 a d)) b)
(*.f64 c (/.f64 a d))
c
(/.f64 a d)
a
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) b) d))
(/.f64 #s(approx (+ (/ (* c a) d) b) b) d)
#s(approx (+ (/ (* c a) d) b) b)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (/.f64 (*.f64 c a) d)) d))
(/.f64 #s(approx (+ (/ (* c a) d) b) (/.f64 (*.f64 c a) d)) d)
#s(approx (+ (/ (* c a) d) b) (/.f64 (*.f64 c a) d))
(/.f64 (*.f64 c a) d)
(*.f64 c a)
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(+.f64 (.f64 a c) (.f64 b d))
(*.f64 a c)
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d)))
(+.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 c (*.f64 d d))
(/.f64 b d)

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

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	d	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* c (/ a d)) b) d) (+ (* c (/ a d)) b) (* c (/ a d)) c (/ a d) a d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (* c a) d) (* c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a (/ c (* d d))) (/ b d)) (* a (/ c (* d d))) (/ c (* d d)) (/ b d))
3.0ms	d	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* c (/ a d)) b) d) (+ (* c (/ a d)) b) (* c (/ a d)) c (/ a d) a d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (* c a) d) (* c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a (/ c (* d d))) (/ b d)) (* a (/ c (* d d))) (/ c (* d d)) (/ b d))
3.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* c (/ a d)) b) d) (+ (* c (/ a d)) b) (* c (/ a d)) c (/ a d) a d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (* c a) d) (* c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a (/ c (* d d))) (/ b d)) (* a (/ c (* d d))) (/ c (* d d)) (/ b d))
3.0ms	a	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* c (/ a d)) b) d) (+ (* c (/ a d)) b) (* c (/ a d)) c (/ a d) a d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (* c a) d) (* c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a (/ c (* d d))) (/ b d)) (* a (/ c (* d d))) (/ c (* d d)) (/ b d))
3.0ms	a	@	inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* c (/ a d)) b) d) (+ (* c (/ a d)) b) (* c (/ a d)) c (/ a d) a d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (/ (* c a) d) (* c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a (/ c (* d d))) (/ b d)) (* a (/ c (* d d))) (/ c (* d d)) (/ b d))

rewrite179.0ms (3.5%)

Memory

12.4MiB live, 242.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	390	2831
0	415	2724
1	2031	2666
0	8687	2648

Stop Event

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

Counts

141 → 260

Calls

Call 1

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

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

eval129.0ms (2.5%)

Memory

16.6MiB live, 240.4MiB allocated; 45ms collecting garbage

Samples

69.0ms	1 108×	0	valid
7.0ms	172×	0	invalid

Compiler

Compiled 8 903 to 1 039 computations (88.3% saved)

Precisions

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

ival-mult: 24.0ms (65.2% of total)

ival-div: 11.0ms (29.9% of total)

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

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

adjust: 0.0ms (0% of total)

prune59.0ms (1.1%)

Memory

4.8MiB live, 72.5MiB allocated; 25ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	272	5	277
Fresh	1	6	7
Picked	0	5	5
Done	0	3	3
Total	273	19	292

Accuracy

100.0%

Counts

292 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.6%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
✓	37.5%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	42.1%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
▶	31.1%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	42.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
	22.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
▶	52.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 d b) c) a) c))
✓	54.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))
✓	25.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (/.f64 (*.f64 c a) d)) d))
▶	25.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (*.f64 (/.f64 a d) c)) d))
✓	43.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) b) d))
✓	42.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
▶	52.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c)))
	49.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 b (/.f64 d (.f64 c c))) (/.f64 a c)))
✓	50.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d)))
	40.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 d b) a) (.f64 c c)) (-.f64 (/.f64 (.f64 d b) a) c)) (+.f64 (.f64 d d) (.f64 c c))) a))
	48.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 #s(approx (/ (+ (/ ( d b) a) c) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 d b) a) c) #s(literal 1 binary64)) c)) a))
	25.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
▶	22.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (.f64 a (/.f64 c (.f64 d d)))))

Samples

20.0ms	52×	0	invalid
18.0ms	460×	0	valid

Compiler

Compiled 844 to 521 computations (38.3% saved)

Precisions

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

ival-mult: 24.0ms (86.1% of total)

ival-div: 3.0ms (10.8% of total)

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

adjust: 0.0ms (0% of total)

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

series82.0ms (1.6%)

Memory

-12.9MiB live, 82.7MiB allocated; 8ms collecting garbage

Counts

28 → 114

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c)))
(+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c))
(*.f64 (/.f64 d c) (/.f64 b c))
(/.f64 d c)
d
c
(/.f64 b c)
b
(/.f64 a c)
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (.f64 a (/.f64 c (.f64 d d)))))
#s(approx (/ (+ (/ (* c a) d) b) d) (.f64 a (/.f64 c (.f64 d d))))
(.f64 a (/.f64 c (.f64 d d)))
(/.f64 c (*.f64 d d))
(*.f64 d d)
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (*.f64 (/.f64 a d) c)) d))
(/.f64 #s(approx (+ (/ (* c a) d) b) (*.f64 (/.f64 a d) c)) d)
#s(approx (+ (/ (* c a) d) b) (*.f64 (/.f64 a d) c))
(*.f64 (/.f64 a d) c)
(/.f64 a d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 d b) c) a) c))
(/.f64 (+.f64 (/.f64 (*.f64 d b) c) a) c)
(+.f64 (/.f64 (*.f64 d b) c) a)
(/.f64 (*.f64 d b) c)

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

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	a	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d c) (/ b c)) (/ a c)) (* (/ d c) (/ b c)) (/ d c) d c (/ b c) b (/ a c) a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (* (/ a d) c) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* d b) c) a) c) (+ (/ (* d b) c) a) (/ (* d b) c))
13.0ms	d	@	0	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d c) (/ b c)) (/ a c)) (* (/ d c) (/ b c)) (/ d c) d c (/ b c) b (/ a c) a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (* (/ a d) c) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* d b) c) a) c) (+ (/ (* d b) c) a) (/ (* d b) c))
10.0ms	b	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d c) (/ b c)) (/ a c)) (* (/ d c) (/ b c)) (/ d c) d c (/ b c) b (/ a c) a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (* (/ a d) c) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* d b) c) a) c) (+ (/ (* d b) c) a) (/ (* d b) c))
4.0ms	c	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d c) (/ b c)) (/ a c)) (* (/ d c) (/ b c)) (/ d c) d c (/ b c) b (/ a c) a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (* (/ a d) c) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* d b) c) a) c) (+ (/ (* d b) c) a) (/ (* d b) c))
4.0ms	d	@	-inf	((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d c) (/ b c)) (/ a c)) (* (/ d c) (/ b c)) (/ d c) d c (/ b c) b (/ a c) a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* c a) d) b) d) (+ (/ (* c a) d) b) (* (/ a d) c) (/ a d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (/ (* d b) c) a) c) (+ (/ (* d b) c) a) (/ (* d b) c))

rewrite330.0ms (6.4%)

Memory

46.2MiB live, 288.6MiB allocated; 139ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	442	2864
0	464	2723
1	2368	2667
0	10397	2655

Stop Event

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

Counts

142 → 316

Calls

Call 1

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

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

eval108.0ms (2.1%)

Memory

20.6MiB live, 158.6MiB allocated; 16ms collecting garbage

Samples

53.0ms	1 201×	0	valid
4.0ms	79×	0	invalid

Compiler

Compiled 10 322 to 1 227 computations (88.1% saved)

Precisions

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

ival-mult: 20.0ms (70.3% of total)

ival-div: 7.0ms (24.6% of total)

ival-true: 1.0ms (3.5% of total)

adjust: 0.0ms (0% of total)

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

prune75.0ms (1.4%)

Memory

-0.4MiB live, 54.0MiB allocated; 9ms collecting garbage

Pruning

20 alts after pruning (8 fresh and 12 done)

	Pruned	Kept	Total
New	312	4	316
Fresh	2	4	6
Picked	1	4	5
Done	0	8	8
Total	315	20	335

Accuracy

100.0%

Counts

335 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	39.6%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
✓	37.5%	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
	42.1%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
	21.0%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
✓	42.7%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
	22.5%	(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
✓	52.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 d b) c) a) c))
✓	54.9%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))
	23.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* d b) c) a) (*.f64 d (/.f64 b c))) c))
✓	25.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (/.f64 (*.f64 c a) d)) d))
✓	25.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (*.f64 (/.f64 a d) c)) d))
✓	43.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) b) d))
✓	42.4%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
✓	52.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (*.f64 (/.f64 d c) (/.f64 b c)) (/.f64 a c)))
✓	50.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d)))
	40.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (.f64 (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 d b) a) (.f64 c c)) (-.f64 (/.f64 (.f64 d b) a) c)) (+.f64 (.f64 d d) (.f64 c c))) a))
	25.5%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
✓	22.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (.f64 a (/.f64 c (.f64 d d)))))
	23.6%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d c) (/ b c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
	44.3%	#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d c) (/ b c)) (/ a c)) (.f64 (+.f64 (/.f64 d (.f64 c c)) (/.f64 a (*.f64 b c))) b)))

Samples

18.0ms	460×	0	valid
2.0ms	52×	0	invalid

Compiler

Compiled 1 341 to 474 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (61% of total)

ival-div: 3.0ms (30.5% of total)

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

adjust: 0.0ms (0% of total)

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

regimes45.0ms (0.9%)

Memory

-28.8MiB live, 61.1MiB allocated; 8ms collecting garbage

Counts

29 → 4

Calls

Call 1

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

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (*.f64 (/.f64 b c) (/.f64 d c)) (/.f64 a c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 c a) d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (*.f64 (/.f64 b c) (/.f64 d c)) (/.f64 a c)))

Calls

5 calls:

10.0ms	d
10.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
8.0ms	c
8.0ms	a
8.0ms	b

Results

Accuracy	Segments	Branch
78.2%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
72.8%	4	`a`
72.4%	4	`b`
85.0%	4	`c`
86.5%	5	`d`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes14.0ms (0.3%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Counts

24 → 5

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (.f64 a (/.f64 c (.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d c) (/ b c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* d b) c) a) (*.f64 d (/.f64 b c))) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 c a) d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 d b) c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 b (/.f64 d (.f64 c c))) (/.f64 a c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d c) (/ b c)) (/ a c)) (.f64 (+.f64 (/.f64 d (.f64 c c)) (/.f64 a (*.f64 b c))) b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (*.f64 (/.f64 a d) (/.f64 c d)) (/.f64 b d)))

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (*.f64 (/.f64 a d) (/.f64 c d)) (/.f64 b d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 d b) c) a) c))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))

Calls

2 calls:

7.0ms	c
6.0ms	d

Results

Accuracy	Segments	Branch
86.5%	5	`d`
83.8%	4	`c`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes9.0ms (0.2%)

Memory

-31.3MiB live, 15.3MiB allocated; 3ms collecting garbage

Counts

23 → 5

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (.f64 a (/.f64 c (.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d c) (/ b c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* d b) c) a) (*.f64 d (/.f64 b c))) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 c a) d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 d b) c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 b (/.f64 d (.f64 c c))) (/.f64 a c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d c) (/ b c)) (/ a c)) (.f64 (+.f64 (/.f64 d (.f64 c c)) (/.f64 a (*.f64 b c))) b)))

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 d b) c) a) c))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
86.5%	5	`d`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes13.0ms (0.3%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Counts

21 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (.f64 a (/.f64 c (.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d c) (/ b c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* d b) c) a) (*.f64 d (/.f64 b c))) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 c a) d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 d b) c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 a (/.f64 c (.f64 d d))) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 b (/.f64 d (.f64 c c))) (/.f64 a c)))

Outputs

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 d b) c) a) c))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))

Calls

2 calls:

6.0ms	c
6.0ms	d

Results

Accuracy	Segments	Branch
79.0%	3	`c`
80.5%	3	`d`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes103.0ms (2%)

Memory

-17.6MiB live, 32.9MiB allocated; 83ms collecting garbage

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (.f64 a (/.f64 c (.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d c) (/ b c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* d b) c) a) (*.f64 d (/.f64 b c))) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 c a) d) b) d))

Outputs

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 c a) d) b) d))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Calls

3 calls:

83.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
9.0ms	c
9.0ms	d

Results

Accuracy	Segments	Branch
60.4%	3	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
76.2%	3	`c`
74.0%	4	`d`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes11.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

17 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (.f64 a (/.f64 c (.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d c) (/ b c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* d b) c) a) (*.f64 d (/.f64 b c))) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))

Outputs

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))

#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
74.5%	3	`c`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes32.0ms (0.6%)

Memory

-13.3MiB live, 35.0MiB allocated; 8ms collecting garbage

Counts

16 → 4

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (.f64 a (/.f64 c (.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d c) (/ b c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* d b) c) a) (*.f64 d (/.f64 b c))) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) (+.f64 (.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (.f64 a c) (.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Calls

4 calls:

10.0ms	a
8.0ms	c
8.0ms	d
5.0ms	b

Results

Accuracy	Segments	Branch
62.6%	4	`b`
60.2%	4	`a`
69.5%	5	`d`
68.1%	4	`c`

Compiler

Compiled 4 to 16 computations (-300% saved)

regimes8.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Counts

12 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (.f64 a (/.f64 c (.f64 d d)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (.f64 d b)) #s(approx (+ ( c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d c) (/ b c)) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (/ (* c a) d) b) d) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* c a) d) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (/ (* d b) c) a) (*.f64 d (/.f64 b c))) c))

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Calls

2 calls:

4.0ms	c
3.0ms	d

Results

Accuracy	Segments	Branch
63.8%	3	`d`
64.6%	3	`c`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes6.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Calls

5 calls:

1.0ms	a
1.0ms	b
1.0ms	c
1.0ms	d
1.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

Results

Accuracy	Segments	Branch
42.4%	1	`a`
42.4%	1	`(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))`
42.4%	1	`b`
42.4%	1	`d`
42.4%	1	`c`

Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch39.0ms (0.8%)

Memory

1.8MiB live, 47.7MiB allocated; 4ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.6662889659500803e+22	2.564510877155378e+22
12.0ms	-2.2704135160229548e-135	-2.2642363196598014e-137
16.0ms	-4.944605700000582e+85	-5.24232004482957e+81

Samples

23.0ms

304×

valid

Compiler

Compiled 842 to 601 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (68.7% of total)

ival-div: 2.0ms (13.7% of total)

ival-add: 2.0ms (13.7% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch67.0ms (1.3%)

Memory

-2.2MiB live, 93.5MiB allocated; 15ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.045921103409413e+102	1.0480481602384483e+104
12.0ms	4.922880946319432e-145	9.783563258271801e-145
17.0ms	-9.293923253210594e-61	-1.5066311642665726e-78
19.0ms	-9.808739660055312e+119	-1.9230782542428524e+114

Samples

41.0ms

480×

valid

Compiler

Compiled 1 236 to 897 computations (27.4% saved)

Precisions

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

ival-mult: 16.0ms (69.1% of total)

ival-add: 4.0ms (17.3% of total)

ival-div: 3.0ms (13% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch4.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.045921103409413e+102	1.0480481602384483e+104
0.0ms	4.922880946319432e-145	9.783563258271801e-145
1.0ms	-9.293923253210594e-61	-1.5066311642665726e-78
1.0ms	-9.808739660055312e+119	-1.9230782542428524e+114

Compiler

Compiled 1 218 to 888 computations (27.1% saved)

bsearch40.0ms (0.8%)

Memory

2.8MiB live, 47.7MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3656692738612393000.0	1.223117297330214e+21
23.0ms	-9.293923253210594e-61	-1.5066311642665726e-78

Samples

26.0ms

272×

valid

Compiler

Compiled 918 to 630 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 14.0ms (77.7% of total)

ival-div: 2.0ms (11.1% of total)

ival-add: 2.0ms (11.1% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch25.0ms (0.5%)

Memory

-14.4MiB live, 31.3MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	6.924223976809682e+70	7.419797312077129e+71
13.0ms	-4.944605700000582e+85	-5.24232004482957e+81

Samples

11.0ms

160×

valid

Compiler

Compiled 634 to 452 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (62.1% of total)

ival-div: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch11.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.924223976809682e+70	7.419797312077129e+71
1.0ms	-4.944605700000582e+85	-5.24232004482957e+81

Samples

5.0ms

80×

valid

Compiler

Compiled 634 to 452 computations (28.7% saved)

Precisions

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

ival-mult: 2.0ms (63% of total)

ival-add: 1.0ms (31.5% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch673.0ms (13%)

Memory

-81.3MiB live, 30.9MiB allocated; 984ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.6662889659500803e+22	2.564510877155378e+22
669.0ms	-7.497622030915027e-115	-1.7383518033302074e-122
1.0ms	-4.944605700000582e+85	-5.24232004482957e+81

Samples

82.0ms

144×

valid

Compiler

Compiled 816 to 606 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (66% of total)

ival-div: 1.0ms (16.5% of total)

ival-add: 1.0ms (16.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.6662889659500803e+22	2.564510877155378e+22
1.0ms	-4.944605700000582e+85	-5.24232004482957e+81

Compiler

Compiled 474 to 354 computations (25.3% saved)

simplify22.0ms (0.4%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	669
1	126	669
2	188	669
3	286	669
4	398	669
5	523	669
6	529	669

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 c #s(literal -91999999999999995285427950446624493008098963321535290020002126232500571759014051840 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 (/.f64 b c) (/.f64 d c)) (/.f64 a c))) (if (<=.f64 c #s(literal -6383111685397477/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c #s(literal 20499999999999998951424 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (.f64 c a) d) b) d)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (*.f64 (/.f64 b c) (/.f64 d c)) (/.f64 a c))))))
(if (<=.f64 d #s(literal -7200000000000000112027796132161269774731050057831642320262348179102003224386241063507894807388341623268685222248448 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 (/.f64 a d) (/.f64 c d)) (/.f64 b d))) (if (<=.f64 d #s(literal -2673609718939013/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 1318041150745077/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (.f64 d b) c) a) c)) (if (<=.f64 d #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))))))
(if (<=.f64 d #s(literal -7200000000000000112027796132161269774731050057831642320262348179102003224386241063507894807388341623268685222248448 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (.f64 c (/.f64 a d)) b) d)) (if (<=.f64 d #s(literal -2673609718939013/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 1318041150745077/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (.f64 d b) c) a) c)) (if (<=.f64 d #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))))))
(if (<=.f64 d #s(literal -3618502788666131/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (.f64 c (/.f64 a d)) b) d)) (if (<=.f64 d #s(literal 5400000000000000000 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (.f64 d b) c) a) c)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))))
(if (<=.f64 c #s(literal -51999999999999996749156087923078196163990390420441018845280670858792225752842502144 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 209999999999999989179177445401028784401359164470513489140259055529361408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (.f64 c a) d) b) d)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
(if (<=.f64 c #s(literal -53999999999999998697965681085553495606221950591968032926802575318020579135921848320 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 310000000000000017887258655676396314034054985539494255354427781647695872 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (.f64 c (/.f64 a d)) b) d)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
(if (<=.f64 c #s(literal -91999999999999995285427950446624493008098963321535290020002126232500571759014051840 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -8801562677017115/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c #s(literal 20499999999999998951424 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -51999999999999996749156087923078196163990390420441018845280670858792225752842502144 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 20499999999999998951424 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

Outputs
(if (<=.f64 c #s(literal -91999999999999995285427950446624493008098963321535290020002126232500571759014051840 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 (/.f64 b c) (/.f64 d c)) (/.f64 a c))) (if (<=.f64 c #s(literal -6383111685397477/3273390607896141870013189696827599152216642046043064789483291368096133796404674554883270092325904157150886684127560071009217256545885393053328527589376 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c #s(literal 20499999999999998951424 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (.f64 c a) d) b) d)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (*.f64 (/.f64 b c) (/.f64 d c)) (/.f64 a c))))))
(if (<=.f64 d #s(literal -7200000000000000112027796132161269774731050057831642320262348179102003224386241063507894807388341623268685222248448 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (.f64 (/.f64 a d) (/.f64 c d)) (/.f64 b d))) (if (<=.f64 d #s(literal -2673609718939013/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 1318041150745077/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (.f64 d b) c) a) c)) (if (<=.f64 d #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))))))
(if (<=.f64 d #s(literal -7200000000000000112027796132161269774731050057831642320262348179102003224386241063507894807388341623268685222248448 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (.f64 c (/.f64 a d)) b) d)) (if (<=.f64 d #s(literal -2673609718939013/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 d #s(literal 1318041150745077/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (.f64 d b) c) a) c)) (if (<=.f64 d #s(literal 3700000000000000225910221837524396872367223155482380085466079354850699173358908230046752422414952431616 binary64)) (/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d))) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))))))
(if (<=.f64 d #s(literal -3618502788666131/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (.f64 c (/.f64 a d)) b) d)) (if (<=.f64 d #s(literal 5400000000000000000 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (.f64 d b) c) a) c)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d))))
(if (or (<=.f64 d #s(literal -3618502788666131/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) (not (<=.f64 d #s(literal 5400000000000000000 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (.f64 c (/.f64 a d)) b) d)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 d b) c) a) c)))
(if (<=.f64 c #s(literal -51999999999999996749156087923078196163990390420441018845280670858792225752842502144 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 209999999999999989179177445401028784401359164470513489140259055529361408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (.f64 c a) d) b) d)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
(if (or (<=.f64 c #s(literal -51999999999999996749156087923078196163990390420441018845280670858792225752842502144 binary64)) (not (<=.f64 c #s(literal 209999999999999989179177445401028784401359164470513489140259055529361408 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 c a) d) b) d)))
(if (<=.f64 c #s(literal -53999999999999998697965681085553495606221950591968032926802575318020579135921848320 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 310000000000000017887258655676396314034054985539494255354427781647695872 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (.f64 c (/.f64 a d)) b) d)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
(if (or (<=.f64 c #s(literal -53999999999999998697965681085553495606221950591968032926802575318020579135921848320 binary64)) (not (<=.f64 c #s(literal 310000000000000017887258655676396314034054985539494255354427781647695872 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 c (/.f64 a d)) b) d)))
(if (<=.f64 c #s(literal -91999999999999995285427950446624493008098963321535290020002126232500571759014051840 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -8801562677017115/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) (/.f64 #s(approx (+ (* a c) (* b d)) (.f64 c a)) (+.f64 (.f64 c c) (.f64 d d))) (if (<=.f64 c #s(literal 20499999999999998951424 binary64)) #s(approx (/ (+ ( a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -51999999999999996749156087923078196163990390420441018845280670858792225752842502144 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 20499999999999998951424 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
(if (or (<=.f64 c #s(literal -51999999999999996749156087923078196163990390420441018845280670858792225752842502144 binary64)) (not (<=.f64 c #s(literal 20499999999999998951424 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

derivations195.0ms (3.8%)

Memory

-65.7MiB live, 112.1MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 669 to 99 computations (85.2% saved)

preprocess45.0ms (0.9%)

Memory: 21.4MiB live, 67.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 368 to 220 computations (83.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze48.0ms (0.9%)

sample1.4s (27.5%)

explain149.0ms (2.9%)

preprocess44.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series20.0ms (0.4%)

rewrite254.0ms (4.9%)

eval246.0ms (4.7%)

prune66.0ms (1.3%)

series44.0ms (0.9%)

rewrite199.0ms (3.8%)

eval217.0ms (4.2%)

prune102.0ms (2%)

series49.0ms (0.9%)

rewrite179.0ms (3.5%)

eval129.0ms (2.5%)

prune59.0ms (1.1%)

series82.0ms (1.6%)

rewrite330.0ms (6.4%)

eval108.0ms (2.1%)

prune75.0ms (1.4%)

regimes45.0ms (0.9%)

regimes14.0ms (0.3%)

regimes9.0ms (0.2%)

regimes13.0ms (0.3%)

regimes103.0ms (2%)

regimes11.0ms (0.2%)

regimes32.0ms (0.6%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch39.0ms (0.8%)

bsearch67.0ms (1.3%)

bsearch4.0ms (0.1%)

bsearch40.0ms (0.8%)

bsearch25.0ms (0.5%)

bsearch11.0ms (0.2%)

bsearch673.0ms (13%)

bsearch2.0ms (0%)

simplify22.0ms (0.4%)

derivations195.0ms (3.8%)

preprocess45.0ms (0.9%)

end0.0ms (0%)

Profiling