Complex division, real part

Time bar (total: 3.1s)

start0.0ms (0%)

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

analyze25.0ms (0.8%)

Memory
-12.0MiB live, 31.3MiB allocated; 5ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample1.0s (32.6%)

Memory
56.7MiB live, 883.3MiB allocated; 912ms collecting garbage
Samples
755.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 557.0ms
ival-mult!: 448.0ms (80.5% of total)
ival-add!: 69.0ms (12.4% of total)
ival-div!: 39.0ms (7% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess31.0ms (1%)

Memory
-28.4MiB live, 16.6MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062229
1204225
2491225
3900225
41528225
51875225
Stop Event
saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 22 to 22 computations (0% saved)

series18.0ms (0.6%)

Memory
35.1MiB live, 35.1MiB 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:

TimeVariablePointExpression
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
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))
1.0ms
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))
1.0ms
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))

rewrite231.0ms (7.3%)

Memory
2.3MiB live, 191.9MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02481350
02541292
114601256
083451138
Stop Event
iter-limit
node-limit
iter-limit
Counts
62 → 161
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 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64))) (-.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (*.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))))))
(/.f64 (+.f64 (neg.f64 (*.f64 c a)) (neg.f64 (*.f64 d b))) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (+.f64 (neg.f64 (*.f64 d b)) (neg.f64 (*.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 d b)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a)))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d b)))) (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 c a)) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 d b)))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (neg.f64 (*.f64 c a)) (fma.f64 d d (*.f64 c c)) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 d b))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (*.f64 c a) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (*.f64 d b)))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 d b)) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 c a)))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (neg.f64 (*.f64 d b)) (fma.f64 d d (*.f64 c c)) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 c a))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (*.f64 d b) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (*.f64 c a)))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (fma.f64 d d (*.f64 c c))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 d b)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))))))
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))) (/.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))))
(-.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 (neg.f64 b) d) (fma.f64 d d (*.f64 c c))))
(+.f64 (/.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 d b)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))))) (/.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 d b)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))))))))
(+.f64 (/.f64 (*.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d b)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))))
(+.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/.f64 (-.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 (neg.f64 b) d) (*.f64 (neg.f64 b) d))) (fma.f64 c a (*.f64 (neg.f64 b) d)))
(/.f64 (-.f64 (*.f64 (*.f64 d b) (*.f64 d b)) (*.f64 (*.f64 c a) (*.f64 c a))) (-.f64 (*.f64 d b) (*.f64 c a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (pow.f64 (*.f64 (neg.f64 b) d) #s(literal 3 binary64))) (fma.f64 (*.f64 c a) (*.f64 c a) (fma.f64 (*.f64 (neg.f64 b) d) (*.f64 (neg.f64 b) d) (*.f64 (*.f64 c a) (*.f64 (neg.f64 b) d)))))
(/.f64 (fma.f64 (*.f64 (*.f64 d b) (*.f64 d b)) (*.f64 d b) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (fma.f64 (*.f64 d b) (*.f64 d b) (-.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 d b) (*.f64 c a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 d b) (*.f64 d b)))) (neg.f64 (-.f64 (*.f64 c a) (*.f64 d b))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 c a) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d)))) (neg.f64 (fma.f64 (*.f64 c a) (*.f64 c a) (-.f64 (*.f64 (*.f64 d b) (*.f64 d b)) (*.f64 (*.f64 c a) (*.f64 d b))))))
(/.f64 (-.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 d b) (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b)))
(/.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 c a) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))) (fma.f64 (*.f64 c a) (*.f64 c a) (-.f64 (*.f64 (*.f64 d b) (*.f64 d b)) (*.f64 (*.f64 c a) (*.f64 d b)))))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 a c (*.f64 d b))
(-.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (-.f64 (*.f64 c a) (*.f64 d b))) (/.f64 (*.f64 (*.f64 d b) (*.f64 d b)) (-.f64 (*.f64 c a) (*.f64 d b))))
(-.f64 (*.f64 c a) (*.f64 (neg.f64 b) d))
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(+.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 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 (neg.f64 d) d) (*.f64 (neg.f64 d) d))) (fma.f64 c c (*.f64 (neg.f64 d) d)))
(/.f64 (-.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (-.f64 (*.f64 d d) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 c c)) (pow.f64 (*.f64 (neg.f64 d) d) #s(literal 3 binary64))) (fma.f64 (*.f64 c c) (*.f64 c c) (fma.f64 (*.f64 (neg.f64 d) d) (*.f64 (neg.f64 d) d) (*.f64 (*.f64 c c) (*.f64 (neg.f64 d) d)))))
(/.f64 (fma.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 c c))) (fma.f64 (*.f64 d d) (*.f64 d d) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 c c)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))) (neg.f64 (-.f64 (*.f64 c c) (*.f64 d d))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 c c) (*.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 d d)))) (neg.f64 (fma.f64 (*.f64 c c) (*.f64 c c) (-.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 d d))))))
(/.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (-.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 c c) (*.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 d d))) (fma.f64 (*.f64 c c) (*.f64 c c) (-.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 d d)))))
(fma.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 d)) (*.f64 c c))
(fma.f64 (neg.f64 (fabs.f64 d)) (neg.f64 (fabs.f64 d)) (*.f64 c c))
(fma.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 c)) (*.f64 d d))
(fma.f64 (neg.f64 (fabs.f64 c)) (neg.f64 (fabs.f64 c)) (*.f64 d d))
(fma.f64 (fabs.f64 (fabs.f64 d)) (fabs.f64 (fabs.f64 d)) (*.f64 c c))
(fma.f64 (fabs.f64 (fabs.f64 c)) (fabs.f64 (fabs.f64 c)) (*.f64 d d))
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c))
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d))
(fma.f64 (neg.f64 d) (neg.f64 d) (*.f64 c c))
(fma.f64 (neg.f64 c) (neg.f64 c) (*.f64 d d))
(fma.f64 (fabs.f64 d) (fabs.f64 d) (*.f64 c c))
(fma.f64 (fabs.f64 c) (fabs.f64 c) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (-.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (*.f64 c c) (*.f64 (neg.f64 d) d))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 c c)) (fma.f64 (*.f64 c c) (*.f64 c c) (-.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 d d))))) (/.f64 (*.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 d d)) (fma.f64 (*.f64 c c) (*.f64 c c) (-.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 d d))))))
(+.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 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
#s(approx (+ (* a c) (* b d)) (fma.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 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a))
#s(approx (+ (* a c) (* b d)) (*.f64 c a))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 b (/.f64 d a) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b (/.f64 d a) c) (fma.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 (* b d) (*.f64 d b))
#s(approx b b)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (fma.f64 a (/.f64 c b) d) (fma.f64 d d (*.f64 c c))) b))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 a (/.f64 c b) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (/.f64 c b) d) (fma.f64 d d (*.f64 c c))))))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 b) (+.f64 (neg.f64 d) (neg.f64 (/.f64 (*.f64 c a) b)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (+.f64 (/.f64 a (*.f64 d d)) (neg.f64 (*.f64 b (/.f64 c (*.f64 (*.f64 d d) d))))) c (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 b (*.f64 (*.f64 d d) d))) 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)) (fma.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 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 b (/.f64 d c) (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (*.f64 c c))) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 b (/.f64 d c) (neg.f64 (*.f64 b (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c))))) a) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (+ (* c c) (* d d)) (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 d b) c)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) b) c) (*.f64 (neg.f64 a) (*.f64 d d))) c))) c)) (neg.f64 a)) c)))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (*.f64 d b) c)) (neg.f64 a))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (+.f64 (/.f64 b (*.f64 c c)) (neg.f64 (*.f64 a (/.f64 d (*.f64 (*.f64 c c) c))))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 d b) (*.f64 (*.f64 c c) (*.f64 c c)))) (/.f64 a (*.f64 (*.f64 c c) c))) 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 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 a (/.f64 c d) (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 d d))) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 a (/.f64 c d) (neg.f64 (*.f64 a (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d))))) b) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (+ (* c c) (* d d)) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d 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 (neg.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d)) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) d) (*.f64 (neg.f64 b) (*.f64 c c))) d))) 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))))

eval27.0ms (0.8%)

Memory
-19.2MiB live, 25.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 791 to 613 computations (65.8% saved)

prune8.0ms (0.3%)

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New14012152
Fresh000
Picked101
Done000
Total14112153
Accuracy
99.7%
Counts
153 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.6%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
33.3%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
47.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
51.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
57.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
45.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
40.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
52.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a))
42.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
40.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
49.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 d b) c)) (neg.f64 a)) c)))
56.0%
#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)))
Compiler

Compiled 372 to 372 computations (0% saved)

series54.0ms (1.7%)

Memory
-28.7MiB live, 88.9MiB allocated; 25ms collecting garbage
Counts
24 → 137
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d c) a)
(/.f64 d c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(/.f64 d (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(/.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))
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 d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 b))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx a #s(hole binary64 a))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (+ a (/ (* b d) 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) (* 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 d)) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 a))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#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 d)) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx b #s(hole binary64 b))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* b (+ 1 (/ (* a c) (* b d))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#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 d)) b) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#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 d) #s(hole binary64 (/ c d)))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (/ d c) #s(hole binary64 (/ d c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))))
#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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))))
#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 (/ (+ (* 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 d)) b) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx d #s(hole binary64 d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 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 d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) 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 (/ (+ (* 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 d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
Calls

12 calls:

TimeVariablePointExpression
14.0ms
d
@0
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))
6.0ms
a
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))
5.0ms
c
@0
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))
4.0ms
d
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))
4.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))

rewrite247.0ms (7.8%)

Memory
1.0MiB live, 185.5MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06213589
06403373
135873369
088383272
Stop Event
iter-limit
node-limit
iter-limit
Counts
161 → 244
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d c) a)
(/.f64 d c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(/.f64 d (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(/.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))) #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 d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 b))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx a #s(hole binary64 a))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (+ a (/ (* b d) 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) (* 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 d)) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 a))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#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 d)) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx b #s(hole binary64 b))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* b (+ 1 (/ (* a c) (* b d))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#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 d)) b) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#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 d) #s(hole binary64 (/ c d)))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (/ d c) #s(hole binary64 (/ d c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))))
#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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))))
#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 (/ (+ (* 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 d)) b) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx d #s(hole binary64 d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 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 d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) 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 (/ (+ (* 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 d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (*.f64 (/.f64 c d) a) (neg.f64 d) (*.f64 d (neg.f64 b))) (*.f64 d (neg.f64 d)))
(/.f64 (fma.f64 (*.f64 (/.f64 c d) a) d (*.f64 d b)) (*.f64 d d))
(/.f64 (fma.f64 (neg.f64 b) d (*.f64 (neg.f64 d) (*.f64 (/.f64 c d) a))) (*.f64 (neg.f64 d) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(/.f64 (*.f64 (fma.f64 (/.f64 c d) a b) d) (*.f64 d d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 (*.f64 (/.f64 c d) a) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 c d) a) (*.f64 (/.f64 c d) a)) (*.f64 b b)) (-.f64 (*.f64 (/.f64 c d) a) b))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c d) a) (*.f64 (/.f64 c d) a))) (-.f64 b (*.f64 (/.f64 c d) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (/.f64 c d) a) (*.f64 (/.f64 c d) a) (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c d) a) b))))
(/.f64 (fma.f64 (*.f64 b b) b (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 (*.f64 (/.f64 c d) a) (*.f64 (/.f64 c d) a)) (*.f64 b (*.f64 (/.f64 c d) a)))))
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a
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c
d
b
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(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 a c (*.f64 d b))
(-.f64 (*.f64 c a) (*.f64 (neg.f64 b) d))
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#s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b))
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#s(approx (+ (* a (/ c d)) b) (*.f64 (neg.f64 a) (+.f64 (/.f64 (neg.f64 c) d) (/.f64 (neg.f64 b) a))))
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#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 a) (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 d b) a)))))
#s(approx b b)
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#s(approx (* b d) (*.f64 d b))
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#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 d d) b)) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) b))
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#s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))
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#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 d c) b)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) b) c) (*.f64 (neg.f64 a) (*.f64 d d))) c))) c)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a (/ c 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 d)) b) (*.f64 (neg.f64 c) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 a) d))))
#s(approx (/ (+ (* b (/ d c)) a) c) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 d c) b)) (neg.f64 a)) c)))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (*.f64 (/.f64 d c) b)) (neg.f64 a))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (+.f64 (/.f64 b (*.f64 c c)) (neg.f64 (*.f64 a (/.f64 d (*.f64 (*.f64 c c) c))))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 d b) (*.f64 (*.f64 c c) (*.f64 c c)))) (/.f64 a (*.f64 (*.f64 c c) c))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d)))
#s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d))
#s(approx d d)
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (+.f64 (neg.f64 (*.f64 b (/.f64 (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 b (*.f64 c c))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (*.f64 b (/.f64 (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 c c)))) (/.f64 b (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 8 binary64)))) (/.f64 (neg.f64 b) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 c c)))) (*.f64 d d)) (/.f64 b (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (neg.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c))))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 c c))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (pow.f64 c #s(literal -6 binary64)) (neg.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 8 binary64))))) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (/.f64 c d) a (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 d d))) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 a (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d))))) b) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (+.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 c c))) d))
#s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 d d)) b) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) b) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (+.f64 (neg.f64 (*.f64 b (pow.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 3 binary64)))) b) (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 (*.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))))))) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 c c) (*.f64 d d))) #s(literal 1 binary64)) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) #s(literal 1 binary64)) (/.f64 (*.f64 c c) (*.f64 d d))) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (*.f64 c c) (*.f64 d d))) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 (*.f64 c c) (*.f64 d d))) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 c d) a)) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d)) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) d) (*.f64 (neg.f64 b) (*.f64 c c))) d))) d)) (neg.f64 b)) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 c d) a)) (neg.f64 b)) d)))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (neg.f64 d) (+.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 (neg.f64 a) (*.f64 d c)))))
#s(approx (+ (* b (/ d c)) a) (*.f64 (neg.f64 d) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 a) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 b)) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (+.f64 (neg.f64 b) (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 (*.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))))))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 b) (neg.f64 (*.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))))) (fma.f64 b (pow.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 c c) (*.f64 d d)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (*.f64 c c) (*.f64 d d))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (neg.f64 (/.f64 (*.f64 c c) (*.f64 d d))))) d)))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 d) (+.f64 (neg.f64 (*.f64 (/.f64 c d) a)) (neg.f64 b))))

eval51.0ms (1.6%)

Memory
11.2MiB live, 55.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 718 to 1 177 computations (56.7% saved)

prune18.0ms (0.6%)

Memory
-10.2MiB live, 34.7MiB allocated; 5ms collecting garbage
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New22716243
Fresh617
Picked145
Done000
Total23421255
Accuracy
99.8%
Counts
255 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.3%
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
29.2%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 b (/.f64 d a) c) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
18.8%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
51.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
57.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
20.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (fma.f64 (*.f64 a a) a (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (/.f64 d c) b) (*.f64 (/.f64 d c) b)) (*.f64 a (*.f64 (/.f64 d c) b))))) c))
40.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c d) a) (*.f64 (/.f64 c d) a))) (-.f64 b (*.f64 (/.f64 c d) a))) d))
39.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c))
22.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
43.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)) c))
46.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d))
55.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) b)) d))
23.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
45.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) b) d))
40.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
42.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
20.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
45.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
40.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
39.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
20.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
Compiler

Compiled 725 to 697 computations (3.9% saved)

series76.0ms (2.4%)

Memory
37.7MiB live, 81.2MiB allocated; 5ms collecting garbage
Counts
30 → 174
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) b)) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) b)) d)
#s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) b)
(fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64))
a
(/.f64 c (*.f64 d b))
c
(*.f64 d b)
d
b
#s(literal 1 binary64)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) b) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) b) d)
#s(approx (+ (* a (/ c d)) b) b)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))
(/.f64 c (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)) c))
(/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)) c)
#s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 b c)
(/.f64 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 b))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 1))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (+ 1 (/ (* a c) (* b d)))))
#s(approx a #s(hole binary64 a))
#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 (+ (* d d) (* c c)))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (/ (* b d) c)))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (/ b c)))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (+ (/ a d) (/ b c))))
#s(approx (/ a d) #s(hole binary64 (/ a 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (/ (* a c) (* b d))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* a (+ (/ 1 a) (/ c (* b 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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 a))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 a))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (/ a d)))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (* a (+ (/ 1 d) (/ b (* 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* -1 (* a (- (* -1 (/ c (* b d))) (/ 1 a))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (* -1 (* a (- (* -1 (/ b (* a c))) (/ 1 d))))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (/ (+ b (/ (* a c) d)) b)))
#s(approx (/ c (* d b)) #s(hole binary64 (/ c (* b d))))
#s(approx (* d b) #s(hole binary64 (* b d)))
#s(approx b #s(hole binary64 b))
#s(approx (/ b c) #s(hole binary64 (/ b 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* b (+ 1 (/ (* a c) (* b d))))))
#s(approx (* (+ (* a (/ c (* d b))) 1) 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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (* b (+ (/ 1 c) (/ a (* 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (* (+ (* a (/ c (* d b))) 1) 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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ a (* b d))) (/ 1 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 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 (+ (* d d) (* c c)))) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ c (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))))
#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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (/ (+ b (/ (* a c) 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* c (+ (/ 1 c) (/ a (* b 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 (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ a c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ 1 c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) 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 (/ (+ (* b (/ d 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* -1 (* c (- (* -1 (/ a (* b d))) (/ 1 c))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))))
#s(approx (/ (+ (* b (/ d 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (/ (+ d (/ (* a c) b)) d)))
#s(approx d #s(hole binary64 d))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (/ (+ a (/ (* b d) c)) 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 (/ (+ (* a (/ c 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) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (* (+ (/ b c) (/ a d)) d) #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 (/ (+ (* a (/ c 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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
Calls

12 calls:

TimeVariablePointExpression
36.0ms
b
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (+ (* a (/ c (* d b))) 1) b) (+ (* a (/ c (* d b))) 1) a (/ c (* d b)) c (* d b) d b 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (* (+ (/ b c) (/ a d)) d) (+ (/ b c) (/ a d)) (/ b c) (/ a d))
4.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (+ (* a (/ c (* d b))) 1) b) (+ (* a (/ c (* d b))) 1) a (/ c (* d b)) c (* d b) d b 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (* (+ (/ b c) (/ a d)) d) (+ (/ b c) (/ a d)) (/ b c) (/ a d))
4.0ms
d
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (+ (* a (/ c (* d b))) 1) b) (+ (* a (/ c (* d b))) 1) a (/ c (* d b)) c (* d b) d b 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (* (+ (/ b c) (/ a d)) d) (+ (/ b c) (/ a d)) (/ b c) (/ a d))
4.0ms
a
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (+ (* a (/ c (* d b))) 1) b) (+ (* a (/ c (* d b))) 1) a (/ c (* d b)) c (* d b) d b 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (* (+ (/ b c) (/ a d)) d) (+ (/ b c) (/ a d)) (/ b c) (/ a d))
3.0ms
c
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (+ (* a (/ c (* d b))) 1) b) (+ (* a (/ c (* d b))) 1) a (/ c (* d b)) c (* d b) d b 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (* (+ (/ b c) (/ a d)) d) (+ (/ b c) (/ a d)) (/ b c) (/ a d))

rewrite186.0ms (5.9%)

Memory
-4.7MiB live, 239.3MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06984494
07224262
138774256
086954084
Stop Event
iter-limit
node-limit
iter-limit
Counts
204 → 293
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) b)) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) b)) d)
#s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) b))
(*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) b)
(fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64))
a
(/.f64 c (*.f64 d b))
c
(*.f64 d b)
d
b
#s(literal 1 binary64)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) b) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) b) d)
#s(approx (+ (* a (/ c d)) b) b)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))
(/.f64 c (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)) c))
(/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)) c)
#s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)
(+.f64 (/.f64 b c) (/.f64 a d))
(/.f64 b c)
(/.f64 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 b))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 1))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (+ 1 (/ (* a c) (* b d)))))
#s(approx a #s(hole binary64 a))
#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 (+ (* d d) (* c c)))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (/ (* b d) c)))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (/ b c)))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (+ (/ a d) (/ b c))))
#s(approx (/ a d) #s(hole binary64 (/ a 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (/ (* a c) (* b d))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* a (+ (/ 1 a) (/ c (* b 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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 a))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 a))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (/ a d)))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (* a (+ (/ 1 d) (/ b (* 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* -1 (* a (- (* -1 (/ c (* b d))) (/ 1 a))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (* -1 (* a (- (* -1 (/ b (* a c))) (/ 1 d))))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (/ (+ b (/ (* a c) d)) b)))
#s(approx (/ c (* d b)) #s(hole binary64 (/ c (* b d))))
#s(approx (* d b) #s(hole binary64 (* b d)))
#s(approx b #s(hole binary64 b))
#s(approx (/ b c) #s(hole binary64 (/ b 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* b (+ 1 (/ (* a c) (* b d))))))
#s(approx (* (+ (* a (/ c (* d b))) 1) 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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (* b (+ (/ 1 c) (/ a (* 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (* (+ (* a (/ c (* d b))) 1) 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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ a (* b d))) (/ 1 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 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 (+ (* d d) (* c c)))) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ c (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))))
#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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (/ (+ b (/ (* a c) 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* c (+ (/ 1 c) (/ a (* b 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 (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ a c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ 1 c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) 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 (/ (+ (* b (/ d 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* -1 (* c (- (* -1 (/ a (* b d))) (/ 1 c))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))))
#s(approx (/ (+ (* b (/ d 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (/ (+ d (/ (* a c) b)) d)))
#s(approx d #s(hole binary64 d))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))))
#s(approx (+ (/ b c) (/ a d)) #s(hole binary64 (/ (+ a (/ (* b d) c)) 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 (/ (+ (* a (/ c 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) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (* (+ (/ b c) (/ a d)) d) #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 (/ (+ (* a (/ c 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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (* (+ (/ b c) (/ a d)) d) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 d b)) a #s(literal 1 binary64)) b)) d))
(/.f64 (neg.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 d b)) a #s(literal 1 binary64)) b))) (neg.f64 d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 d b)) a #s(literal 1 binary64)) b)) d)
#s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 d b)) a #s(literal 1 binary64)) b))
(*.f64 (fma.f64 (/.f64 c (*.f64 d b)) a #s(literal 1 binary64)) b)
(*.f64 b (fma.f64 (/.f64 c (*.f64 d b)) a #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) b (*.f64 (*.f64 (/.f64 c (*.f64 d b)) a) b))
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(+.f64 (*.f64 (/.f64 a d) d) (*.f64 (/.f64 b c) d))
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(/.f64 (fma.f64 (neg.f64 a) c (*.f64 (neg.f64 d) b)) (*.f64 (neg.f64 d) c))
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(/.f64 (-.f64 (*.f64 (/.f64 a d) (/.f64 a d)) (*.f64 (/.f64 b c) (/.f64 b c))) (-.f64 (/.f64 a d) (/.f64 b c)))
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(/.f64 b c)
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#s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a))
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#s(approx (* (+ (* a (/ c (* d b))) 1) b) (*.f64 (/.f64 c d) a))
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#s(approx (+ (* a c) (* b d)) (*.f64 c a))
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#s(approx (* (+ (/ b c) (/ a d)) d) a)
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#s(approx (+ (/ b c) (/ a d)) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) (*.f64 d b)) (/.f64 #s(literal 1 binary64) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
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#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 b (*.f64 (*.f64 d d) d))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)))
#s(approx c c)
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
#s(approx (+ (* d d) (* c c)) (fma.f64 d d (*.f64 c c)))
#s(approx (* c c) (*.f64 c c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (*.f64 a (/.f64 c (*.f64 d d))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (*.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 a (*.f64 d d))) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 d d)))) (/.f64 a (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 a (*.f64 d d))) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 d #s(literal 8 binary64)))) (/.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 d d)))) (*.f64 c c)) (/.f64 a (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 a (*.f64 d d))) c))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))
#s(approx (/ c (+ (* d d) (* c c))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 d d) (*.f64 d d))))) c))
#s(approx (/ c (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d))) c))
#s(approx (/ c (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (pow.f64 d #s(literal -6 binary64)) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 8 binary64))))) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d))) c))
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
#s(approx (+ (* d d) (* c c)) (fma.f64 d d (*.f64 c c)))
#s(approx (/ (+ (* b (/ d c)) a) c) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 c c)))
#s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c))
#s(approx (* (+ (/ b c) (/ a d)) d) (/.f64 (fma.f64 d b (*.f64 c a)) c))
#s(approx (+ (/ b c) (/ a d)) (/.f64 (fma.f64 (/.f64 c d) a b) 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 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (/.f64 d c) b (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (*.f64 c c))) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 d c) b (neg.f64 (*.f64 b (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c))))) a) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (+.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 d d))) c))
#s(approx (+ (* a (/ c d)) b) (*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) c))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) (*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) c))
#s(approx (+ (* a (/ c (* d b))) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (*.f64 d b)) c)))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 a c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (*.f64 c c)) a) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) a) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (-.f64 (+.f64 (neg.f64 (*.f64 a (pow.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 3 binary64)))) a) (fma.f64 a (/.f64 (*.f64 d d) (*.f64 c c)) (neg.f64 (*.f64 a (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))))))) c))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 d d) (*.f64 c c))) #s(literal 1 binary64)) c))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) #s(literal 1 binary64)) (/.f64 (*.f64 d d) (*.f64 c c))) c))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (*.f64 d d) (*.f64 c c))) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 (*.f64 d d) (*.f64 c c))) c))
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c)))
#s(approx (/ (+ (* b (/ d c)) a) c) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 d c) b)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) b) c) (*.f64 (neg.f64 a) (*.f64 d d))) c))) c)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a (/ c 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 d)) b) (*.f64 (neg.f64 c) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 a) d))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) (*.f64 (neg.f64 c) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 a) d))))
#s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 a) (*.f64 d b)) (/.f64 #s(literal 1 binary64) c))))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (*.f64 (/.f64 d c) b)) (neg.f64 a))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 d d) (*.f64 c c)) (neg.f64 a)) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (neg.f64 (/.f64 (+.f64 (neg.f64 a) (fma.f64 a (/.f64 (*.f64 d d) (*.f64 c c)) (neg.f64 (*.f64 a (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))))))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 a) (neg.f64 (*.f64 a (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c)))))) (fma.f64 a (pow.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 1 binary64)) c)))
#s(approx (/ c (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 d d) (*.f64 c c)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 c c))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (neg.f64 (/.f64 (*.f64 d d) (*.f64 c c))))) c)))
#s(approx (/ (+ (* b (/ d c)) a) c) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 d c) b)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (+.f64 (/.f64 b (*.f64 c c)) (neg.f64 (*.f64 a (/.f64 d (*.f64 (*.f64 c c) c))))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 d b) (*.f64 (*.f64 c c) (*.f64 c c)))) (/.f64 a (*.f64 (*.f64 c c) c))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d)))
#s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) (/.f64 (fma.f64 d b (*.f64 c a)) d))
#s(approx (+ (* a (/ c (* d b))) 1) (/.f64 (fma.f64 a (/.f64 c b) d) d))
#s(approx d d)
#s(approx (* a (/ c (+ (* d d) (* c c)))) (+.f64 (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (*.f64 (*.f64 c c) c)) (/.f64 a c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) a) (pow.f64 c #s(literal 5 binary64))) (/.f64 a (*.f64 (*.f64 c c) c))) (*.f64 d d) (/.f64 a c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (pow.f64 c #s(literal 7 binary64))) (/.f64 (neg.f64 a) (pow.f64 c #s(literal 5 binary64)))) (*.f64 d d)) (/.f64 a (*.f64 (*.f64 c c) c))) (*.f64 d d) (/.f64 a c)))
#s(approx (/ c (+ (* d d) (* c c))) (+.f64 (neg.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ c (+ (* d d) (* c c))) (fma.f64 (-.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) c))) (*.f64 d d) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ c (+ (* d d) (* c c))) (fma.f64 (-.f64 (*.f64 (+.f64 (pow.f64 c #s(literal -5 binary64)) (neg.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 7 binary64))))) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) c))) (*.f64 d d) (/.f64 #s(literal 1 binary64) c)))
#s(approx (+ (/ b c) (/ a d)) (/.f64 (fma.f64 (/.f64 d c) b a) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (/.f64 c d) a (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 d d))) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 a (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d))))) b) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 d d)))) (*.f64 d d)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 c a (/.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) a) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 d d))) (*.f64 d d)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 c a (neg.f64 (*.f64 a (exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 7 binary64)) (*.f64 (log.f64 d) #s(literal 6 binary64))))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d)) (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) a) (*.f64 (*.f64 d d) (*.f64 d d)))))) (*.f64 d d)))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 c) (*.f64 c c)) (*.f64 d d)) c) (*.f64 d d)))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) c) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 d d)))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (-.f64 (+.f64 (neg.f64 (exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 7 binary64)) (*.f64 (log.f64 d) #s(literal 6 binary64))))) c) (neg.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 d d)))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (+.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 c c))) d))
#s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d))
#s(approx (* (+ (/ b c) (/ a d)) d) (*.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 d) a)) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d)) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) d) (*.f64 (neg.f64 b) (*.f64 c c))) d))) d)) (neg.f64 b)) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 c d) a)) (neg.f64 b)) d)))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 d) (+.f64 (neg.f64 (*.f64 (/.f64 c d) a)) (neg.f64 b))))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (neg.f64 d) (+.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 (neg.f64 a) (*.f64 d c)))))
#s(approx (+ (* b (/ d c)) a) (*.f64 (neg.f64 d) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 a) d))))
#s(approx (* (+ (/ b c) (/ a d)) d) (*.f64 (neg.f64 d) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 a) d))))

eval72.0ms (2.3%)

Memory
-2.2MiB live, 43.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 388 to 1 511 computations (55.4% saved)

prune40.0ms (1.3%)

Memory
-7.6MiB live, 37.8MiB allocated; 5ms collecting garbage
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New2775282
Fresh3912
Picked325
Done044
Total28320303
Accuracy
99.8%
Counts
303 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.3%
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
29.2%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 b (/.f64 d a) c) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
18.8%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
51.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
57.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
20.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (fma.f64 (*.f64 a a) a (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (/.f64 d c) b) (*.f64 (/.f64 d c) b)) (*.f64 a (*.f64 (/.f64 d c) b))))) c))
40.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c d) a) (*.f64 (/.f64 c d) a))) (-.f64 b (*.f64 (/.f64 c d) a))) d))
39.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))))
22.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
23.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 #s(approx (+ (/ b c) (/ a d)) (/.f64 b c)) d)) c))
46.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d))
23.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
21.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b)) d))
45.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) b) d))
40.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
42.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
20.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
45.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
20.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
40.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))))
Compiler

Compiled 665 to 629 computations (5.4% saved)

series56.0ms (1.8%)

Memory
11.8MiB live, 109.1MiB allocated; 32ms collecting garbage
Counts
33 → 194
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d)
#s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d))
(/.f64 (fma.f64 d b (*.f64 c a)) d)
(fma.f64 d b (*.f64 c a))
d
b
(*.f64 c a)
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))))
(*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))
(/.f64 d (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
(/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c)
#s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b))
(*.f64 (/.f64 d c) b)
(/.f64 d c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b)) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b)) d)
#s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b))
(*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b)
#s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a))
(*.f64 (/.f64 c (*.f64 d b)) a)
(/.f64 c (*.f64 d b))
(*.f64 d b)
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 d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 b))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 b))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 1))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (+ 1 (/ (* a c) (* b d)))))
#s(approx (* (/ c (* d b)) a) #s(hole binary64 (/ (* a c) (* b 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (/ (* a c) d)))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 a))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (/ (* a c) (* b d))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* a (+ (/ 1 a) (/ c (* b 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* -1 (* a (- (* -1 (/ c (* b d))) (/ 1 a))))))
#s(approx b #s(hole binary64 b))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (* (/ d c) b) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (/ (+ b (/ (* a c) d)) b)))
#s(approx (/ c (* d b)) #s(hole binary64 (/ c (* b d))))
#s(approx (* d b) #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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* b (+ 1 (/ (* a c) (* b d))))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (* b (+ 1 (/ (* a c) (* b d))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (* (+ (* a (/ c (* d b))) 1) 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (* (+ (* a (/ c (* d b))) 1) 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 c #s(hole binary64 c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ c (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))))
#s(approx (/ 1 c) #s(hole binary64 (/ 1 c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ d (* c c)) #s(hole binary64 (/ d (pow c 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (/ d c) #s(hole binary64 (/ 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ a c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ 1 c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* c (+ (/ 1 c) (/ a (* b 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* -1 (* c (- (* -1 (/ a (* b d))) (/ 1 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx d #s(hole binary64 d))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (/ (+ d (/ (* a c) b)) 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (/ d 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
Calls

12 calls:

TimeVariablePointExpression
13.0ms
c
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* d b) (* c a)) d) (+ (* d b) (* c a)) d b (* c a) c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (/ 1 c) 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (/ d (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (* (/ d c) b) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (+ (* a (/ c (* d b))) 1) b) (+ (* a (/ c (* d b))) 1) (* (/ c (* d b)) a) (/ c (* d b)) (* d b))
6.0ms
a
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* d b) (* c a)) d) (+ (* d b) (* c a)) d b (* c a) c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (/ 1 c) 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (/ d (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (* (/ d c) b) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (+ (* a (/ c (* d b))) 1) b) (+ (* a (/ c (* d b))) 1) (* (/ c (* d b)) a) (/ c (* d b)) (* d b))
4.0ms
d
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* d b) (* c a)) d) (+ (* d b) (* c a)) d b (* c a) c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (/ 1 c) 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (/ d (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (* (/ d c) b) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (+ (* a (/ c (* d b))) 1) b) (+ (* a (/ c (* d b))) 1) (* (/ c (* d b)) a) (/ c (* d b)) (* d b))
4.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* d b) (* c a)) d) (+ (* d b) (* c a)) d b (* c a) c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (/ 1 c) 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (/ d (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (* (/ d c) b) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (+ (* a (/ c (* d b))) 1) b) (+ (* a (/ c (* d b))) 1) (* (/ c (* d b)) a) (/ c (* d b)) (* d b))
4.0ms
b
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* d b) (* c a)) d) (+ (* d b) (* c a)) d b (* c a) c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (/ 1 c) 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (/ d (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (* (/ d c) b) (/ d c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (+ (* a (/ c (* d b))) 1) b) (+ (* a (/ c (* d b))) 1) (* (/ c (* d b)) a) (/ c (* d b)) (* d b))

rewrite187.0ms (6%)

Memory
2.8MiB live, 277.0MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08705535
08895269
150265263
081714979
Stop Event
iter-limit
node-limit
iter-limit
Counts
227 → 278
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d)
#s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d))
(/.f64 (fma.f64 d b (*.f64 c a)) d)
(fma.f64 d b (*.f64 c a))
d
b
(*.f64 c a)
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))))
(*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))
(/.f64 d (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
(/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c)
#s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b))
(*.f64 (/.f64 d c) b)
(/.f64 d c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b)) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b)) d)
#s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b))
(*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b)
#s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a))
(*.f64 (/.f64 c (*.f64 d b)) a)
(/.f64 c (*.f64 d b))
(*.f64 d b)
#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 d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 b))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 b))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 b))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 1))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (+ 1 (/ (* a c) (* b d)))))
#s(approx (* (/ c (* d b)) a) #s(hole binary64 (/ (* a c) (* b 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (/ (* a c) d)))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 a))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (/ (* a c) (* b d))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* a (+ (/ 1 a) (/ c (* b 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* -1 (* a (- (* -1 (/ c (* b d))) (/ 1 a))))))
#s(approx b #s(hole binary64 b))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (* (/ d c) b) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (/ (+ b (/ (* a c) d)) b)))
#s(approx (/ c (* d b)) #s(hole binary64 (/ c (* b d))))
#s(approx (* d b) #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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* b (+ 1 (/ (* a c) (* b d))))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (* b (+ 1 (/ (* a c) (* b d))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (* (+ (* a (/ c (* d b))) 1) 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (* (+ (* a (/ c (* d b))) 1) 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 c #s(hole binary64 c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ c (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))))
#s(approx (/ 1 c) #s(hole binary64 (/ 1 c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ d (* c c)) #s(hole binary64 (/ d (pow c 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (/ d c) #s(hole binary64 (/ 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ a c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ 1 c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* c (+ (/ 1 c) (/ a (* b 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* -1 (* c (- (* -1 (/ a (* b d))) (/ 1 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx (/ (+ (* d b) (* c a)) d) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx d #s(hole binary64 d))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (/ (+ d (/ (* a c) b)) 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (/ d 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 (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (/ d 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 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d))
(/.f64 (neg.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d))) (neg.f64 d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d)
#s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d))
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 d))
(/.f64 (fma.f64 d b (*.f64 c a)) d)
(fma.f64 (/.f64 c d) a (/.f64 (*.f64 d b) d))
(fma.f64 a (/.f64 c d) (/.f64 (*.f64 d b) d))
(+.f64 (/.f64 (*.f64 d b) d) (*.f64 (/.f64 c d) a))
(+.f64 (*.f64 (/.f64 c d) a) (/.f64 (*.f64 d b) d))
(/.f64 (-.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 d b) (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b)))
(/.f64 (-.f64 (*.f64 (*.f64 d b) (*.f64 d b)) (*.f64 (*.f64 c a) (*.f64 c a))) (-.f64 (*.f64 d b) (*.f64 c a)))
(/.f64 (fma.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 c a) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))) (fma.f64 (*.f64 c a) (*.f64 c a) (-.f64 (*.f64 (*.f64 d b) (*.f64 d b)) (*.f64 (*.f64 c a) (*.f64 d b)))))
(/.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (fma.f64 (*.f64 d b) (*.f64 d b) (-.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 (*.f64 d b) (*.f64 c a)))))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 a c (*.f64 d b))
(-.f64 (*.f64 d b) (*.f64 (neg.f64 c) a))
(-.f64 (*.f64 c a) (*.f64 (neg.f64 b) d))
(+.f64 (*.f64 d b) (*.f64 c a))
(+.f64 (*.f64 c a) (*.f64 d b))
d
b
(*.f64 c a)
(*.f64 a c)
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a))
(*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)
(*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))
(pow.f64 c #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 c))
(/.f64 #s(literal 1 binary64) c)
(exp.f64 (*.f64 (log.f64 c) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b))
(*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b)
(*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))
(/.f64 (neg.f64 d) (neg.f64 (*.f64 c c)))
(/.f64 (/.f64 d c) c)
(/.f64 d (*.f64 c 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))
(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 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
(/.f64 (neg.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b))) (neg.f64 c))
(/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c)
#s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b))
(*.f64 (/.f64 d c) b)
(*.f64 b (/.f64 d c))
(/.f64 (neg.f64 (*.f64 d b)) (neg.f64 c))
(/.f64 (*.f64 d b) c)
(/.f64 (neg.f64 d) (neg.f64 c))
(/.f64 d c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b)) d))
(/.f64 (neg.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b))) (neg.f64 d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b)) d)
#s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b))
(*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b)
(*.f64 b #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)))
#s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a))
(*.f64 (/.f64 a b) (/.f64 c d))
(*.f64 (/.f64 c (*.f64 d b)) a)
(*.f64 a (/.f64 c (*.f64 d b)))
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 (*.f64 d b)))
(/.f64 (/.f64 (*.f64 c a) b) d)
(/.f64 (*.f64 c a) (*.f64 d b))
(/.f64 (/.f64 c b) d)
(/.f64 (neg.f64 c) (neg.f64 (*.f64 d b)))
(/.f64 (/.f64 c d) b)
(/.f64 c (*.f64 d b))
(*.f64 d b)
(*.f64 b d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 b d))
#s(approx (/ (+ (* a (/ c d)) b) d) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
#s(approx (+ (* a (/ c d)) b) b)
#s(approx (+ (* a (/ c d)) b) (fma.f64 (/.f64 c d) a b))
#s(approx (/ (+ (* d b) (* c a)) d) b)
#s(approx (/ (+ (* d b) (* c a)) d) (fma.f64 (/.f64 c d) a b))
#s(approx (+ (* d b) (* c a)) (*.f64 d b))
#s(approx (+ (* d b) (* c a)) (fma.f64 d b (*.f64 c a)))
#s(approx (* c a) (*.f64 c a))
#s(approx a a)
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 b (/.f64 d (*.f64 c c))))
#s(approx (/ (+ (* b (/ d c)) a) c) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
#s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b))
#s(approx (+ (* b (/ d c)) a) (fma.f64 (/.f64 d c) b a))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) b)
#s(approx (* (+ (* a (/ c (* d b))) 1) b) (fma.f64 (/.f64 c d) a b))
#s(approx (+ (* a (/ c (* d b))) 1) #s(literal 1 binary64))
#s(approx (+ (* a (/ c (* d b))) 1) (fma.f64 (/.f64 c (*.f64 d b)) a #s(literal 1 binary64)))
#s(approx (* (/ c (* d b)) a) (*.f64 (/.f64 c (*.f64 d b)) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))) a))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 b (*.f64 d a))) a))
#s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a))
#s(approx (+ (* a (/ c d)) b) (*.f64 (+.f64 (/.f64 b a) (/.f64 c d)) a))
#s(approx (/ (+ (* d b) (* c a)) d) (*.f64 (/.f64 c d) a))
#s(approx (/ (+ (* d b) (* c a)) d) (*.f64 (+.f64 (/.f64 b a) (/.f64 c d)) a))
#s(approx (+ (* d b) (* c a)) (*.f64 c a))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 b (/.f64 d a) c) a))
#s(approx (/ (+ (* b (/ d c)) a) c) (/.f64 a c))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (fma.f64 b (/.f64 d (*.f64 (*.f64 c c) a)) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (+ (* b (/ d c)) a) a)
#s(approx (+ (* b (/ d c)) a) (*.f64 (fma.f64 b (/.f64 d (*.f64 c a)) #s(literal 1 binary64)) a))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) (*.f64 (/.f64 c d) a))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) (*.f64 (+.f64 (/.f64 b a) (/.f64 c d)) a))
#s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a))
#s(approx (+ (* a (/ c (* d b))) 1) (fma.f64 (/.f64 c (*.f64 d b)) a #s(literal 1 binary64)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (*.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)))) (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c))))))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (neg.f64 a) (+.f64 (/.f64 (neg.f64 c) (*.f64 d d)) (/.f64 (neg.f64 b) (*.f64 d a)))))
#s(approx (+ (* a (/ c d)) b) (*.f64 (neg.f64 a) (+.f64 (/.f64 (neg.f64 c) d) (/.f64 (neg.f64 b) a))))
#s(approx (/ (+ (* d b) (* c a)) d) (*.f64 (neg.f64 a) (+.f64 (/.f64 (neg.f64 c) d) (/.f64 (neg.f64 b) a))))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 a) (+.f64 (neg.f64 c) (neg.f64 (/.f64 (*.f64 d b) a)))))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (*.f64 b (/.f64 d (*.f64 (*.f64 c c) a)))) (/.f64 #s(literal 1 binary64) c))))
#s(approx (+ (* b (/ d c)) a) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (*.f64 b (/.f64 d (*.f64 c a)))) #s(literal 1 binary64))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) (*.f64 (neg.f64 a) (+.f64 (/.f64 (neg.f64 c) d) (/.f64 (neg.f64 b) a))))
#s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 c) (*.f64 d b)) (/.f64 #s(literal 1 binary64) a))))
#s(approx b b)
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
#s(approx (* (/ d c) b) (*.f64 (/.f64 d c) b))
#s(approx (+ (* a (/ c (* d b))) 1) (/.f64 (fma.f64 (/.f64 c d) a b) b))
#s(approx (/ c (* d b)) (/.f64 c (*.f64 d b)))
#s(approx (* d b) (*.f64 d b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 d (fma.f64 d d (*.f64 c c)))) b))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 d d) b)) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 (/.f64 c (*.f64 d b)) a #s(literal 1 binary64)) b))
#s(approx (/ (+ (* d b) (* c a)) d) (*.f64 (fma.f64 (/.f64 c (*.f64 d b)) a #s(literal 1 binary64)) b))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 a (/.f64 c b) d) b))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 a (*.f64 b c))) b))
#s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 a b) (/.f64 d c)) b))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) (*.f64 (fma.f64 (/.f64 c (*.f64 d b)) a #s(literal 1 binary64)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (+.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)))) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))))))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 (*.f64 d d) b)))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (+ (* a (/ c d)) b) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (*.f64 (/.f64 c (*.f64 d b)) a)) #s(literal 1 binary64))))
#s(approx (/ (+ (* d b) (* c a)) d) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (*.f64 (/.f64 c (*.f64 d b)) a)) #s(literal 1 binary64))))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 b) (+.f64 (neg.f64 d) (neg.f64 (/.f64 (*.f64 c a) b)))))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 d) (*.f64 c c)) (/.f64 (neg.f64 a) (*.f64 b c)))))
#s(approx (+ (* b (/ d c)) a) (*.f64 (neg.f64 b) (+.f64 (/.f64 (neg.f64 d) c) (/.f64 (neg.f64 a) b))))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (*.f64 (/.f64 c (*.f64 d b)) a)) #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))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (+.f64 (/.f64 a (*.f64 d d)) (neg.f64 (*.f64 b (/.f64 c (*.f64 (*.f64 d d) d))))) c (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 c a) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 b (*.f64 (*.f64 d d) d))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)))
#s(approx c c)
#s(approx (* a (/ c (+ (* d d) (* c c)))) (*.f64 a (/.f64 c (*.f64 d d))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (*.f64 (+.f64 (neg.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 a (*.f64 d d))) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (*.f64 a (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 d d)))) (/.f64 a (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 a (*.f64 d d))) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 d #s(literal 8 binary64)))) (/.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 d d)))) (*.f64 c c)) (/.f64 a (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 a (*.f64 d d))) c))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))
#s(approx (/ c (+ (* d d) (* c c))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (neg.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 d d) (*.f64 d d))))) c))
#s(approx (/ c (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d))) c))
#s(approx (/ c (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (pow.f64 d #s(literal -6 binary64)) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 8 binary64))))) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d))) c))
#s(approx (/ 1 c) (/.f64 #s(literal 1 binary64) c))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 b d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (+.f64 (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 (*.f64 d d) d)) (/.f64 b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) b) (pow.f64 d #s(literal 5 binary64))) (/.f64 b (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (pow.f64 d #s(literal 7 binary64))) (/.f64 (neg.f64 b) (pow.f64 d #s(literal 5 binary64)))) (*.f64 c c)) (/.f64 b (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 b d)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))
#s(approx (/ d (+ (* d d) (* c c))) (+.f64 (neg.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 d d) d))) (/.f64 #s(literal 1 binary64) d)))
#s(approx (/ d (+ (* d d) (* c c))) (fma.f64 (-.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d)))
#s(approx (/ d (+ (* d d) (* c c))) (fma.f64 (-.f64 (*.f64 (+.f64 (pow.f64 d #s(literal -5 binary64)) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 7 binary64))))) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d)))
#s(approx (/ d (* c c)) (/.f64 d (*.f64 c c)))
#s(approx (* c c) (*.f64 c c))
#s(approx (/ (+ (* b (/ d c)) a) c) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 c c)))
#s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c))
#s(approx (/ d c) (/.f64 d 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 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (/.f64 d c) b (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (*.f64 c c))) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 d c) b (neg.f64 (*.f64 b (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c))))) a) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (+.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 d d))) c))
#s(approx (+ (* a (/ c d)) b) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c))
#s(approx (/ (+ (* d b) (* c a)) d) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 a c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (*.f64 c c)) a) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) a) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (-.f64 (+.f64 (neg.f64 (*.f64 a (pow.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 3 binary64)))) a) (fma.f64 a (/.f64 (*.f64 d d) (*.f64 c c)) (neg.f64 (*.f64 a (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))))))) c))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 d d) (*.f64 c c))) #s(literal 1 binary64)) c))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) #s(literal 1 binary64)) (/.f64 (*.f64 d d) (*.f64 c c))) c))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (*.f64 d d) (*.f64 c c))) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 (*.f64 d d) (*.f64 c c))) c))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 b (/.f64 d (*.f64 c c))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) b) (*.f64 c c)))) (*.f64 c c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 d b (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) b) (*.f64 (*.f64 c c) (*.f64 c c)))) (/.f64 (*.f64 (*.f64 (*.f64 d d) d) b) (*.f64 c c))) (*.f64 c c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 d b (neg.f64 (*.f64 b (exp.f64 (-.f64 (*.f64 (log.f64 d) #s(literal 7 binary64)) (*.f64 (log.f64 c) #s(literal 6 binary64))))))) (fma.f64 b (/.f64 (*.f64 (*.f64 d d) d) (*.f64 c c)) (neg.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) b) (*.f64 (*.f64 c c) (*.f64 c c)))))) (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 d) (*.f64 d d)) (*.f64 c c)) d) (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) d) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 c c))) (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (-.f64 (+.f64 (neg.f64 (exp.f64 (-.f64 (*.f64 (log.f64 d) #s(literal 7 binary64)) (*.f64 (log.f64 c) #s(literal 6 binary64))))) d) (neg.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 c c))) (*.f64 c c)))
#s(approx (/ (+ (* b (/ d c)) a) c) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c))
#s(approx (+ (* a (/ c (* d b))) 1) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (*.f64 d b)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 d c) b)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) b) c) (*.f64 (neg.f64 a) (*.f64 d d))) c))) c)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a (/ c 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 d)) b) (*.f64 (neg.f64 c) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 a) d))))
#s(approx (/ (+ (* d b) (* c a)) d) (*.f64 (neg.f64 c) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 a) d))))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (*.f64 (/.f64 d c) b)) (neg.f64 a))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 d d) (*.f64 c c)) (neg.f64 a)) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (neg.f64 (/.f64 (+.f64 (neg.f64 a) (fma.f64 a (/.f64 (*.f64 d d) (*.f64 c c)) (neg.f64 (*.f64 a (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))))))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 a) (neg.f64 (*.f64 a (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c)))))) (fma.f64 a (pow.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 1 binary64)) c)))
#s(approx (/ c (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 d d) (*.f64 c c)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) (*.f64 c c))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (neg.f64 (/.f64 (*.f64 d d) (*.f64 c c))))) c)))
#s(approx (/ (+ (* b (/ d c)) a) c) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 d c) b)) (neg.f64 a)) c)))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) (*.f64 (neg.f64 c) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 a) d))))
#s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 a) (*.f64 d b)) (/.f64 #s(literal 1 binary64) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (+.f64 (/.f64 b (*.f64 c c)) (neg.f64 (*.f64 a (/.f64 d (*.f64 (*.f64 c c) c))))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 d b) (*.f64 (*.f64 c c) (*.f64 c c)))) (/.f64 a (*.f64 (*.f64 c c) c))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d)))
#s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d))
#s(approx (/ (+ (* d b) (* c a)) d) (/.f64 (fma.f64 d b (*.f64 c a)) d))
#s(approx d d)
#s(approx (* a (/ c (+ (* d d) (* c c)))) (+.f64 (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (*.f64 (*.f64 c c) c)) (/.f64 a c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) a) (pow.f64 c #s(literal 5 binary64))) (/.f64 a (*.f64 (*.f64 c c) c))) (*.f64 d d) (/.f64 a c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (pow.f64 c #s(literal 7 binary64))) (/.f64 (neg.f64 a) (pow.f64 c #s(literal 5 binary64)))) (*.f64 d d)) (/.f64 a (*.f64 (*.f64 c c) c))) (*.f64 d d) (/.f64 a c)))
#s(approx (/ c (+ (* d d) (* c c))) (+.f64 (neg.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ c (+ (* d d) (* c c))) (fma.f64 (-.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) c))) (*.f64 d d) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ c (+ (* d d) (* c c))) (fma.f64 (-.f64 (*.f64 (+.f64 (pow.f64 c #s(literal -5 binary64)) (neg.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 7 binary64))))) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) c))) (*.f64 d d) (/.f64 #s(literal 1 binary64) c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (+.f64 (neg.f64 (*.f64 b (/.f64 (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 b (*.f64 c c))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (*.f64 b (/.f64 (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 c c)))) (/.f64 b (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 8 binary64)))) (/.f64 (neg.f64 b) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 c c)))) (*.f64 d d)) (/.f64 b (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (neg.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c))))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 c c))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (pow.f64 c #s(literal -6 binary64)) (neg.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 8 binary64))))) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 c c))) d))
#s(approx (* (+ (* a (/ c (* d b))) 1) b) (/.f64 (fma.f64 d b (*.f64 c a)) d))
#s(approx (+ (* a (/ c (* d b))) 1) (/.f64 (fma.f64 a (/.f64 c b) d) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (/.f64 c d) a (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 d d))) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 a (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d))))) b) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 d d)))) (*.f64 d d)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 c a (/.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) a) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 d d))) (*.f64 d d)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 c a (neg.f64 (*.f64 a (exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 7 binary64)) (*.f64 (log.f64 d) #s(literal 6 binary64))))))) (fma.f64 a (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d)) (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) a) (*.f64 (*.f64 d d) (*.f64 d d)))))) (*.f64 d d)))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 c) (*.f64 c c)) (*.f64 d d)) c) (*.f64 d d)))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) c) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 d d)))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (-.f64 (+.f64 (neg.f64 (exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 7 binary64)) (*.f64 (log.f64 d) #s(literal 6 binary64))))) c) (neg.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 d d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 d d)) b) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) b) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (+.f64 (neg.f64 (*.f64 b (pow.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 3 binary64)))) b) (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 (*.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))))))) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 c c) (*.f64 d d))) #s(literal 1 binary64)) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) #s(literal 1 binary64)) (/.f64 (*.f64 c c) (*.f64 d d))) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (*.f64 c c) (*.f64 d d))) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 (*.f64 c c) (*.f64 d d))) d))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (+.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 c c))) d))
#s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 c d) a)) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d)) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) d) (*.f64 (neg.f64 b) (*.f64 c c))) d))) d)) (neg.f64 b)) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 c d) a)) (neg.f64 b)) d)))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 d) (+.f64 (neg.f64 (*.f64 (/.f64 c d) a)) (neg.f64 b))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 b)) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (+.f64 (neg.f64 b) (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 (*.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))))))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 b) (neg.f64 (*.f64 b (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))))) (fma.f64 b (pow.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 c c) (*.f64 d d)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (*.f64 c c) (*.f64 d d))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (neg.f64 (/.f64 (*.f64 c c) (*.f64 d d))))) d)))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (neg.f64 d) (+.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 (neg.f64 a) (*.f64 d c)))))
#s(approx (+ (* b (/ d c)) a) (*.f64 (neg.f64 d) (+.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 a) d))))

eval27.0ms (0.9%)

Memory
10.6MiB live, 56.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 419 to 1 497 computations (56.2% saved)

prune79.0ms (2.5%)

Memory
-9.1MiB live, 44.3MiB allocated; 9ms collecting garbage
Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New2452247
Fresh099
Picked145
Done066
Total24621267
Accuracy
99.8%
Counts
267 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.3%
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
29.2%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 b (/.f64 d a) c) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
18.8%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
51.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
57.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
20.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (fma.f64 (*.f64 a a) a (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (/.f64 d c) b) (*.f64 (/.f64 d c) b)) (*.f64 a (*.f64 (/.f64 d c) b))))) c))
40.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c d) a) (*.f64 (/.f64 c d) a))) (-.f64 b (*.f64 (/.f64 c d) a))) d))
39.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))))
20.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 d b) c)) c))
22.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
23.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 #s(approx (+ (/ b c) (/ a d)) (/.f64 b c)) d)) c))
22.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) d)) d))
23.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
21.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b)) d))
45.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) b) d))
40.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
42.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
20.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
45.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
20.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
40.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))))
Compiler

Compiled 747 to 568 computations (24% saved)

regimes127.0ms (4%)

Memory
28.9MiB live, 146.7MiB allocated; 60ms collecting garbage
Counts
36 → 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 (+ (* a (/ c d)) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 #s(approx (+ (/ b c) (/ a d)) (/.f64 b c)) d)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 d b) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
(/.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))) (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 (neg.f64 (/.f64 (*.f64 d b) c)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) b)) d))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 b (/.f64 d a) c) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c 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 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c d) a) (*.f64 (/.f64 c d) a))) (-.f64 b (*.f64 (/.f64 c d) a))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (fma.f64 (*.f64 a a) a (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (/.f64 d c) b) (*.f64 (/.f64 d c) b)) (*.f64 a (*.f64 (/.f64 d c) b))))) c))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d 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))) (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))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
Calls

5 calls:

56.0ms
d
29.0ms
c
22.0ms
a
9.0ms
b
8.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
76.9%3(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
66.7%3a
71.6%4b
86.9%4c
83.0%5d
Compiler

Compiled 15 to 27 computations (-80% saved)

regimes39.0ms (1.2%)

Memory
-42.1MiB live, 18.2MiB allocated; 46ms collecting garbage
Counts
32 → 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 (+ (* a (/ c d)) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 #s(approx (+ (/ b c) (/ a d)) (/.f64 b c)) d)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 d b) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
(/.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))) (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 (neg.f64 (/.f64 (*.f64 d b) c)) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 #s(approx (+ (* a (/ c (* d b))) 1) (*.f64 (/.f64 c (*.f64 d b)) a)) b)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) b)) d))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 b (/.f64 d a) c) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#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))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
Calls

1 calls:

37.0ms
c
Results
AccuracySegmentsBranch
84.5%4c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes8.0ms (0.3%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Counts
26 → 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 (+ (* a (/ c d)) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 #s(approx (+ (/ b c) (/ a d)) (/.f64 b c)) d)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 d b) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
(/.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 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
Calls

1 calls:

7.0ms
c
Results
AccuracySegmentsBranch
83.8%4c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes6.0ms (0.2%)

Memory
14.1MiB live, 14.1MiB 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 (+ (* a (/ c d)) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 #s(approx (+ (/ b c) (/ a d)) (/.f64 b c)) d)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 d b) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
Calls

1 calls:

5.0ms
c
Results
AccuracySegmentsBranch
82.1%3c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes15.0ms (0.5%)

Memory
-21.4MiB live, 24.9MiB allocated; 9ms collecting garbage
Counts
15 → 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 (+ (* a (/ c d)) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 #s(approx (+ (/ b c) (/ a d)) (/.f64 b c)) d)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 d b) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c 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 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

2 calls:

10.0ms
c
4.0ms
d
Results
AccuracySegmentsBranch
71.1%3d
77.4%3c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes21.0ms (0.7%)

Memory
-10.4MiB live, 34.4MiB allocated; 8ms collecting garbage
Counts
14 → 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 (+ (* a (/ c d)) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 #s(approx (+ (/ b c) (/ a d)) (/.f64 b c)) d)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 d 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

4 calls:

8.0ms
b
4.0ms
c
4.0ms
d
3.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
58.7%5b
63.6%3d
45.5%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
67.0%3c
Compiler

Compiled 14 to 23 computations (-64.3% saved)

regimes5.0ms (0.2%)

Memory
16.0MiB live, 16.0MiB 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
c
1.0ms
a
1.0ms
d
1.0ms
b
1.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
40.6%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
40.6%1b
40.6%1d
40.6%1a
40.6%1c
Compiler

Compiled 15 to 27 computations (-80% saved)

bsearch60.0ms (1.9%)

Memory
24.1MiB live, 69.6MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3.10448333962945e+27
1.3879819434302325e+32
31.0ms
-8.149977926397079e-80
-2.727981377840245e-80
14.0ms
-1.4395402989494376e+68
-1.7648177266730402e+57
Samples
43.0ms368×0valid
Compiler

Compiled 700 to 746 computations (-6.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult!: 7.0ms (71.3% of total)
ival-add!: 1.0ms (10.2% of total)
ival-div!: 1.0ms (10.2% of total)
adjust: 0.0ms (0% of total)

bsearch46.0ms (1.5%)

Memory
-28.5MiB live, 38.9MiB allocated; 34ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.10448333962945e+27
1.3879819434302325e+32
6.0ms
-8.149977926397079e-80
-2.727981377840245e-80
37.0ms
-1.4395402989494376e+68
-1.7648177266730402e+57
Samples
11.0ms208×0valid
Compiler

Compiled 775 to 821 computations (-5.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 4.0ms (70.8% of total)
ival-add!: 1.0ms (17.7% of total)
ival-div!: 1.0ms (17.7% of total)
adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.10448333962945e+27
1.3879819434302325e+32
1.0ms
-8.149977926397079e-80
-2.727981377840245e-80
1.0ms
-1.4395402989494376e+68
-1.7648177266730402e+57
Compiler

Compiled 723 to 769 computations (-6.4% saved)

bsearch48.0ms (1.5%)

Memory
-27.6MiB live, 19.7MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.10448333962945e+27
1.3879819434302325e+32
46.0ms
-6.623814395966951e-21
-2.6185147743032136e-28
Samples
40.0ms144×0valid
Compiler

Compiled 528 to 562 computations (-6.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 3.0ms (76.8% of total)
ival-add!: 1.0ms (25.6% of total)
ival-div!: 1.0ms (25.6% of total)
adjust: 0.0ms (0% of total)

bsearch23.0ms (0.7%)

Memory
31.3MiB live, 31.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
3.10448333962945e+27
1.3879819434302325e+32
14.0ms
-3.7260443842745822e+28
-511392321580.41876
Samples
12.0ms240×0valid
Compiler

Compiled 522 to 558 computations (-6.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 4.0ms (62.8% of total)
ival-add!: 1.0ms (15.7% of total)
ival-div!: 1.0ms (15.7% of total)
adjust: 0.0ms (0% of total)

bsearch29.0ms (0.9%)

Memory
-9.3MiB live, 37.4MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
196910174204744960.0
3.4762150514677324e+20
16.0ms
-2.235507858456678e-30
-1.3343233049113128e-30
Samples
20.0ms192×0valid
Compiler

Compiled 330 to 354 computations (-7.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 3.0ms (59.3% of total)
ival-add!: 1.0ms (19.8% of total)
ival-div!: 1.0ms (19.8% of total)
adjust: 0.0ms (0% of total)

derivations144.0ms (4.6%)

Memory
-7.8MiB live, 132.6MiB allocated; 16ms collecting garbage
Stop Event
fuel
Compiler

Compiled 123 to 75 computations (39% saved)

preprocess116.0ms (3.7%)

Memory
20.2MiB live, 111.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 156 to 106 computations (32.1% saved)

end0.0ms (0%)

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

Profiling

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