Complex division, real part

Time bar (total: 4.2s)

start0.0ms (0%)

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

analyze40.0ms (1%)

Memory
-3.9MiB live, 44.6MiB allocated; 32ms 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)

sample2.3s (54.8%)

Memory
-84.5MiB live, 1 443.3MiB allocated; 1.5s collecting garbage
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 338.0ms
ival-mult!: 249.0ms (73.8% of total)
ival-div!: 54.0ms (16% of total)
ival-add!: 33.0ms (9.8% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

preprocess62.0ms (1.5%)

Memory
1.1MiB live, 47.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062229
1236225
2690225
31877225
47238225
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.8%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 22 to 22 computations (0% saved)

series27.0ms (0.6%)

Memory
25.3MiB live, 75.5MiB allocated; 11ms collecting garbage
Counts
11 → 47
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 (/ (* 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 #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) (+ 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 (/ (+ (* 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
11.0ms
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))
2.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))
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))

rewrite195.0ms (4.7%)

Memory
21.8MiB live, 342.3MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02441314
02511256
114551220
083261104
Stop Event
iter-limit
node-limit
iter-limit
Counts
58 → 157
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 (/ (* 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 #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) (+ 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 (/ (+ (* 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 (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 (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 (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 (neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a)))) (neg.f64 (neg.f64 (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 (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 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 (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 d b) (*.f64 d b)) (*.f64 (*.f64 c a) (*.f64 c a))) (-.f64 (*.f64 d b) (*.f64 c a)))
(/.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 (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)))))
(/.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 (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 a a) a) (*.f64 (*.f64 c c) c) (*.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 a a) a) (*.f64 (*.f64 c c) c) (*.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))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)) (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 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 (*.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 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (-.f64 (*.f64 d d) (*.f64 c c)))
(/.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 (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 (-.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 (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 (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 (neg.f64 (fabs.f64 d)) (neg.f64 (fabs.f64 d)) (*.f64 c c))
(fma.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 d)) (*.f64 c c))
(fma.f64 (neg.f64 (fabs.f64 c)) (neg.f64 (fabs.f64 c)) (*.f64 d d))
(fma.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.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 (fabs.f64 d) (fabs.f64 d) (*.f64 c c))
(fma.f64 (fabs.f64 c) (fabs.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 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 (fabs.f64 (fabs.f64 c)) (fabs.f64 (fabs.f64 c)))
(*.f64 (neg.f64 (fabs.f64 c)) (neg.f64 (fabs.f64 c)))
(*.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 c)))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 (fabs.f64 c) (fabs.f64 c))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 c) #s(literal 2 binary64))
(pow.f64 (neg.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 (fabs.f64 (fabs.f64 d)) (fabs.f64 (fabs.f64 d)))
(*.f64 (neg.f64 (fabs.f64 d)) (neg.f64 (fabs.f64 d)))
(*.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 d)))
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)))
(*.f64 (fabs.f64 d) (fabs.f64 d))
(*.f64 (neg.f64 d) (neg.f64 d))
(*.f64 d d)
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 d) #s(literal 2 binary64))
(pow.f64 (neg.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 (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 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 (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 (/ (+ (* 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))))

eval23.0ms (0.6%)

Memory
-12.5MiB live, 48.6MiB allocated; 20ms collecting garbage
Compiler

Compiled 1 769 to 603 computations (65.9% saved)

prune12.0ms (0.3%)

Memory
-10.7MiB live, 35.4MiB allocated; 6ms collecting garbage
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New13414148
Fresh000
Picked101
Done000
Total13514149
Accuracy
99.6%
Counts
149 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.3%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c))))
34.3%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
44.2%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
42.7%
#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)))
50.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
44.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
54.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
52.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
41.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
57.9%
#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))
46.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
43.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
53.5%
#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)))
Compiler

Compiled 446 to 442 computations (0.9% saved)

series55.0ms (1.3%)

Memory
-9.1MiB live, 179.7MiB allocated; 17ms collecting garbage
Counts
27 → 110
Calls
Call 1
Inputs
#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))
(*.f64 (/.f64 (fma.f64 a (/.f64 c b) d) (fma.f64 d d (*.f64 c c))) b)
(/.f64 (fma.f64 a (/.f64 c b) d) (fma.f64 d d (*.f64 c c)))
(fma.f64 a (/.f64 c b) d)
a
(/.f64 c b)
c
b
d
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
#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))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/.f64 c (*.f64 d d))
(*.f64 d d)
(/.f64 b d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
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) (+ (* d d) (* c c))) #s(hole binary64 (/ d (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ 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 d))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (+ d (/ (* a c) b))))
#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 (* d d))) (/ b d)) #s(hole binary64 (/ b d)))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a c) (* 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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (/ (* a c) b)))
#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 (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* a c) (* b d)) #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) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c b)) (* -1 (/ 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 d))) (/ b d)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) b)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (/ (+ (* a c) (* b d)) b)))
#s(approx (/ c b) #s(hole binary64 (/ c b)))
#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 (/ (+ (* 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 d))) (/ b d)) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* 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 (/ (+ (* 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 d))) (/ b d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* 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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ c (pow d 3))) (/ a (* b (pow d 2))))) (/ 1 d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (* b (pow d 4)))) (/ 1 (pow d 3)))) (/ a (* b (pow d 2))))) (/ 1 d))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (* 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 (/ c (* d d)) #s(hole binary64 (/ c (pow d 2))))
#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) (+ (* d d) (* c c))) #s(hole binary64 (/ a (* b c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (/ a b) (/ d c)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ (* -1 (/ (pow d 3) (pow c 3))) (+ (/ a b) (/ d c))) (/ (* a (pow d 2)) (* b (pow c 2)))) c)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* c (+ (/ a b) (/ d c)))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) 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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ d c))) c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (* a (pow d 2)) (* b c)))) c))) c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (- (/ (pow d 3) c) (* -1 (/ (* a (pow d 2)) b))) c))) c))) c))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ a (* b c)) (/ d (pow c 2)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (* b (pow c 3)))) (/ 1 (pow c 2)))) (/ a (* b c)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ d (pow c 4))) (/ a (* b (pow c 3))))) (/ 1 (pow c 2)))) (/ a (* b c)))))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (/ (* a c) (* b d))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 3)))) (/ (* a c) (* b d)))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* d (+ 1 (/ (* a c) (* b d))))))
#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 (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (* a c) (* b d))) 1) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a c) b)) d)) 1) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) (* b d)) (* -1 (pow c 2))) d)) (/ (* a c) b)) d)) 1) d))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* -1 (* d (- (* -1 (/ (* a c) (* b d))) 1)))))
#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 (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
Calls

12 calls:

TimeVariablePointExpression
8.0ms
b
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (+ (* a (/ c b)) d) a (/ c b) c b d (+ (* d d) (* c c)) (* c c) (/ (+ (* 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))) (+ (* a (/ c (* d d))) (/ b d)) (/ c (* d d)) (* d d) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))
8.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (+ (* a (/ c b)) d) a (/ c b) c b d (+ (* d d) (* c c)) (* c c) (/ (+ (* 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))) (+ (* a (/ c (* d d))) (/ b d)) (/ c (* d d)) (* d d) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))
7.0ms
a
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (+ (* a (/ c b)) d) a (/ c b) c b d (+ (* d d) (* c c)) (* c c) (/ (+ (* 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))) (+ (* a (/ c (* d d))) (/ b d)) (/ c (* d d)) (* d d) (/ b d) (/ (+ (* 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 b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (+ (* a (/ c b)) d) a (/ c b) c b d (+ (* d d) (* c c)) (* c c) (/ (+ (* 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))) (+ (* a (/ c (* d d))) (/ b d)) (/ c (* d d)) (* d d) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))
4.0ms
b
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (+ (* a (/ c b)) d) a (/ c b) c b d (+ (* d d) (* c c)) (* c c) (/ (+ (* 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))) (+ (* a (/ c (* d d))) (/ b d)) (/ c (* d d)) (* d d) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))

rewrite199.0ms (4.8%)

Memory
72.3MiB live, 318.0MiB allocated; 72ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05383118
05632895
131422881
085422796
Stop Event
iter-limit
node-limit
iter-limit
Counts
137 → 275
Calls
Call 1
Inputs
#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))
(*.f64 (/.f64 (fma.f64 a (/.f64 c b) d) (fma.f64 d d (*.f64 c c))) b)
(/.f64 (fma.f64 a (/.f64 c b) d) (fma.f64 d d (*.f64 c c)))
(fma.f64 a (/.f64 c b) d)
a
(/.f64 c b)
c
b
d
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
#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))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/.f64 c (*.f64 d d))
(*.f64 d d)
(/.f64 b d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
#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) (+ (* d d) (* c c))) #s(hole binary64 (/ d (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ 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 d))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (+ d (/ (* a c) b))))
#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 (* d d))) (/ b d)) #s(hole binary64 (/ b d)))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a c) (* 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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (/ (* a c) b)))
#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 (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* a c) (* b d)) #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) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c b)) (* -1 (/ 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 d))) (/ b d)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) b)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (/ (+ (* a c) (* b d)) b)))
#s(approx (/ c b) #s(hole binary64 (/ c b)))
#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 (/ (+ (* 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 d))) (/ b d)) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* 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 (/ (+ (* 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 d))) (/ b d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* 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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ c (pow d 3))) (/ a (* b (pow d 2))))) (/ 1 d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (* b (pow d 4)))) (/ 1 (pow d 3)))) (/ a (* b (pow d 2))))) (/ 1 d))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (* 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 (/ c (* d d)) #s(hole binary64 (/ c (pow d 2))))
#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) (+ (* d d) (* c c))) #s(hole binary64 (/ a (* b c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (/ a b) (/ d c)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ (* -1 (/ (pow d 3) (pow c 3))) (+ (/ a b) (/ d c))) (/ (* a (pow d 2)) (* b (pow c 2)))) c)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* c (+ (/ a b) (/ d c)))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) 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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ d c))) c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (* a (pow d 2)) (* b c)))) c))) c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (- (/ (pow d 3) c) (* -1 (/ (* a (pow d 2)) b))) c))) c))) c))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ a (* b c)) (/ d (pow c 2)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (* b (pow c 3)))) (/ 1 (pow c 2)))) (/ a (* b c)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ d (pow c 4))) (/ a (* b (pow c 3))))) (/ 1 (pow c 2)))) (/ a (* b c)))))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (/ (* a c) (* b d))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 3)))) (/ (* a c) (* b d)))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* d (+ 1 (/ (* a c) (* b d))))))
#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 (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (* a c) (* b d))) 1) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a c) b)) d)) 1) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) (* b d)) (* -1 (pow c 2))) d)) (/ (* a c) b)) d)) 1) d))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* -1 (* d (- (* -1 (/ (* a c) (* b d))) 1)))))
#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 (+ (* 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 (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 d d (*.f64 c c))) b))
(*.f64 (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 d d (*.f64 c c))) b)
(*.f64 b (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b)) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c)))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (*.f64 (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))) b))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 b (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)))))
(+.f64 (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) (*.f64 (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))) b))
(+.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (*.f64 b (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (pow.f64 (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 d (fma.f64 d d (*.f64 c c))) (-.f64 (pow.f64 (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))) #s(literal 2 binary64)) (/.f64 (*.f64 d (*.f64 c a)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) b)))))))
(/.f64 (neg.f64 (fma.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)))) (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 c b) a d))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (pow.f64 (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))) #s(literal 2 binary64))) (-.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))) #s(literal 3 binary64))) (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 d (fma.f64 d d (*.f64 c c))) (-.f64 (pow.f64 (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))) #s(literal 2 binary64)) (/.f64 (*.f64 d (*.f64 c a)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) b))))))
(/.f64 (fma.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) b)))
(/.f64 (neg.f64 (fma.f64 (/.f64 c b) a d)) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 d d (*.f64 c c)))
(fma.f64 (/.f64 a b) (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 d (fma.f64 d d (*.f64 c c))))
(fma.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 d (fma.f64 d d (*.f64 c c))))
(+.f64 (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))) (/.f64 d (fma.f64 d d (*.f64 c c))))
(+.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b b)) (*.f64 d d))) (neg.f64 (-.f64 (*.f64 (/.f64 c b) a) d)))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b b)))) (neg.f64 (-.f64 d (*.f64 (/.f64 c b) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 3 binary64)) (*.f64 (*.f64 d d) d))) (neg.f64 (fma.f64 (*.f64 (/.f64 c b) a) (*.f64 (/.f64 c b) a) (-.f64 (*.f64 d d) (*.f64 (*.f64 (/.f64 c b) a) d)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 d d) d (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 d d (-.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b b)) (*.f64 d (*.f64 (/.f64 c b) a))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b b)) (*.f64 d d)) (-.f64 (*.f64 (/.f64 c b) a) d))
(/.f64 (-.f64 (*.f64 d d) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 b b))) (-.f64 d (*.f64 (/.f64 c b) a)))
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#s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 a b) (/.f64 d c)) b))
#s(approx (+ (* a (/ c (* d 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) (* b d)) (*.f64 (fma.f64 (/.f64 c b) a d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 d d (*.f64 c c))))))
#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 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) (* b d)) (*.f64 (neg.f64 b) (+.f64 (neg.f64 d) (neg.f64 (*.f64 (/.f64 c b) a)))))
#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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (fma.f64 a (/.f64 c (*.f64 (*.f64 d d) b)) (/.f64 #s(literal 1 binary64) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (fma.f64 (+.f64 (/.f64 a (*.f64 (*.f64 d d) b)) (/.f64 (neg.f64 c) (*.f64 (*.f64 d d) d))) c (/.f64 #s(literal 1 binary64) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 (*.f64 (*.f64 d d) (*.f64 d d)) b)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) d))) c (/.f64 a (*.f64 (*.f64 d d) b))) c (/.f64 #s(literal 1 binary64) 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 (/ (+ (* 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 (/ c (* d d)) (/.f64 c (*.f64 d d)))
#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 b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 a b) (/.f64 d c)) c))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (+.f64 (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (*.f64 (*.f64 c c) b)) (/.f64 a b)) (/.f64 d c)) c))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 d d) (*.f64 c c)) (/.f64 (neg.f64 d) c) (+.f64 (/.f64 a b) (/.f64 d c))) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 (*.f64 c c) b))) c))
#s(approx (+ (* a (/ c b)) d) (*.f64 (+.f64 (/.f64 a b) (/.f64 d c)) c))
#s(approx (+ (* d d) (* c c)) (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c)))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) (*.f64 (+.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 d d))) c))
#s(approx (+ (* a c) (* b d)) (*.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 b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 d) c) (/.f64 (neg.f64 a) b)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (*.f64 b c)) d) c)) (/.f64 (neg.f64 a) b)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) d) c) (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) b)) c)) d) c)) (/.f64 (neg.f64 a) b)) c)))
#s(approx (+ (* a (/ c b)) d) (*.f64 (neg.f64 c) (+.f64 (/.f64 (neg.f64 d) c) (/.f64 (neg.f64 a) b))))
#s(approx (+ (* a (/ c (* d d))) (/ b d)) (*.f64 (neg.f64 c) (+.f64 (/.f64 (neg.f64 b) (*.f64 d c)) (/.f64 (neg.f64 a) (*.f64 d d)))))
#s(approx (+ (* a c) (* b d)) (*.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 (+.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 b)) d) (+ (* d d) (* c c))) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 a (*.f64 b c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (neg.f64 (*.f64 a (/.f64 d (*.f64 (*.f64 (*.f64 c c) c) b))))) d (/.f64 a (*.f64 b c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 d) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 a (*.f64 (*.f64 (*.f64 c c) c) b))) d (/.f64 #s(literal 1 binary64) (*.f64 c c))) d (/.f64 a (*.f64 b c))))
#s(approx (+ (* a (/ c (* d 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 (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) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) d))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (fma.f64 a (/.f64 c (*.f64 d b)) (/.f64 (neg.f64 (*.f64 c c)) (*.f64 d d))) #s(literal 1 binary64)) d))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (fma.f64 a (/.f64 c (*.f64 d b)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 (*.f64 (*.f64 d d) d) b)))) #s(literal 1 binary64)) (/.f64 (*.f64 c c) (*.f64 d d))) d))
#s(approx (+ (* a (/ c b)) d) (*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) 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 b c) (/.f64 a d)) d))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 c a) d)) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (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) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 d b)))) #s(literal 1 binary64)) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 (/.f64 (*.f64 c c) d))) d)) #s(literal 1 binary64)) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 d b)) (neg.f64 (*.f64 c c))) d))) d)) #s(literal 1 binary64)) d)))
#s(approx (+ (* a (/ c b)) d) (*.f64 (neg.f64 d) (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 d b)))) #s(literal 1 binary64))))
#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 (+ (* a c) (* b d)) (*.f64 (neg.f64 d) (+.f64 (neg.f64 (/.f64 (*.f64 c a) d)) (neg.f64 b))))

eval65.0ms (1.6%)

Memory
-46.8MiB live, 104.9MiB allocated; 46ms collecting garbage
Compiler

Compiled 3 256 to 1 341 computations (58.8% saved)

prune15.0ms (0.4%)

Memory
3.1MiB live, 50.7MiB allocated; 1ms collecting garbage
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New26015275
Fresh549
Picked325
Done000
Total26821289
Accuracy
99.6%
Counts
289 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.4%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
50.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
54.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
52.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
44.2%
#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))
24.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
48.1%
#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))
41.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
46.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(approx (+ (* a (/ c b)) d) d) (fma.f64 d d (*.f64 c c))) b))
47.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) d)) b))
46.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 a b) (/.f64 d c)) c)) b))
33.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b))
41.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
36.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)))) b))
43.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 (/.f64 (*.f64 c c) d))) d)) #s(literal 1 binary64)) d))) b))
43.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
35.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 c c))))
37.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (+.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 c c))) d)))
21.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
20.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* a (/ c (* d d))) (/ b d)) (*.f64 (/.f64 c (*.f64 d d)) a)))
Compiler

Compiled 812 to 786 computations (3.2% saved)

series89.0ms (2.1%)

Memory
20.2MiB live, 79.3MiB allocated; 54ms collecting garbage
Counts
28 → 106
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 b d))
(/.f64 b d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b))
(*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b)
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c)))
(/.f64 a (*.f64 b c))
(*.f64 b c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(approx (+ (* a (/ c b)) d) d) (fma.f64 d d (*.f64 c c))) b))
(*.f64 (/.f64 #s(approx (+ (* a (/ c b)) d) d) (fma.f64 d d (*.f64 c c))) b)
(/.f64 #s(approx (+ (* a (/ c b)) d) d) (fma.f64 d d (*.f64 c c)))
#s(approx (+ (* a (/ c b)) d) d)
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 a b) (/.f64 d c)) c)) b))
(*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 a b) (/.f64 d c)) c)) b)
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 a b) (/.f64 d c)) c))
(/.f64 (+.f64 (/.f64 a b) (/.f64 d c)) c)
(+.f64 (/.f64 a b) (/.f64 d c))
(/.f64 a b)
(/.f64 d 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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ d (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))
#s(approx (/ a (* b c)) #s(hole binary64 (/ a (* b c))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 d))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (+ d (/ (* a c) b))))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (+ (/ a (* b c)) (/ d (pow c 2)))))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (/ d c)))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (+ (/ a b) (/ d c))))
#s(approx (/ a b) #s(hole binary64 (/ a b)))
#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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (/ (* a c) b)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* a (+ (/ c b) (/ d a)))))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (* a (+ (/ 1 (* b c)) (/ d (* a (pow c 2)))))))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (* a (+ (/ 1 b) (/ d (* a c))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* 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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c b)) (* -1 (/ d a)))))))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ d (* a (pow c 2)))) (/ 1 (* b c)))))))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ d (* a c))) (/ 1 b))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) b)))
#s(approx (* b c) #s(hole binary64 (* b c)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (/ (+ (* a c) (* b d)) b)))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (/ (+ (/ a c) (/ (* b d) (pow c 2))) b)))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (/ (+ a (/ (* b d) c)) 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 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) (* 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) (* 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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ c (pow d 3))) (/ a (* b (pow d 2))))) (/ 1 d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (* b (pow d 4)))) (/ 1 (pow d 3)))) (/ a (* b (pow d 2))))) (/ 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 (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (/ (+ d (/ (* a c) b)) (pow c 2))))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (/ (+ d (/ (* a c) b)) 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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (/ a b) (/ d c)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ (* -1 (/ (pow d 3) (pow c 3))) (+ (/ a b) (/ d c))) (/ (* a (pow d 2)) (* b (pow c 2)))) c)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* c (+ (/ a b) (/ d c)))))
#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)) (+ (* 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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ d c))) c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (* a (pow d 2)) (* b c)))) c))) c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (- (/ (pow d 3) c) (* -1 (/ (* a (pow d 2)) b))) c))) c))) c))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ 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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (* b (pow c 3)))) (/ 1 (pow c 2)))) (/ a (* b c)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ d (pow c 4))) (/ a (* b (pow c 3))))) (/ 1 (pow c 2)))) (/ a (* b c)))))
#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) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (/ (* a c) (* b d))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 3)))) (/ (* a c) (* b d)))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* d (+ 1 (/ (* a c) (* b d))))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (* d (+ (/ 1 (pow c 2)) (/ a (* b (* c d)))))))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (* d (+ (/ 1 c) (/ a (* b d))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (* a c) (* b d))) 1) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a c) b)) d)) 1) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) (* b d)) (* -1 (pow c 2))) d)) (/ (* a c) b)) d)) 1) d))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* -1 (* d (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (* -1 (* d (- (* -1 (/ a (* b (* c d)))) (/ 1 (pow c 2)))))))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (* -1 (* d (- (* -1 (/ a (* b d))) (/ 1 c))))))
Calls

12 calls:

TimeVariablePointExpression
48.0ms
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))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ a (* b c)) (* b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (+ (* a (/ c b)) d) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ (+ (/ a b) (/ d c)) c) (+ (/ a b) (/ d c)) (/ a b) (/ d c))
8.0ms
b
@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))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ a (* b c)) (* b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (+ (* a (/ c b)) d) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ (+ (/ a b) (/ d c)) c) (+ (/ a b) (/ d c)) (/ a b) (/ d c))
4.0ms
b
@-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))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ a (* b c)) (* b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (+ (* a (/ c b)) d) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ (+ (/ a b) (/ d c)) c) (+ (/ a b) (/ d c)) (/ a b) (/ d c))
4.0ms
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))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ a (* b c)) (* b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (+ (* a (/ c b)) d) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ (+ (/ a b) (/ d c)) c) (+ (/ a b) (/ d c)) (/ a b) (/ d c))
3.0ms
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))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ a (* b c)) (* b c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (+ (* a (/ c b)) d) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ (+ (/ a b) (/ d c)) c) (+ (/ a b) (/ d c)) (/ a b) (/ d c))

rewrite378.0ms (9%)

Memory
45.8MiB live, 375.0MiB allocated; 184ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05263191
05442984
130312960
085702838
Stop Event
iter-limit
node-limit
iter-limit
Counts
134 → 218
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 b d))
(/.f64 b d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b))
(*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b)
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c)))
(/.f64 a (*.f64 b c))
(*.f64 b c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(approx (+ (* a (/ c b)) d) d) (fma.f64 d d (*.f64 c c))) b))
(*.f64 (/.f64 #s(approx (+ (* a (/ c b)) d) d) (fma.f64 d d (*.f64 c c))) b)
(/.f64 #s(approx (+ (* a (/ c b)) d) d) (fma.f64 d d (*.f64 c c)))
#s(approx (+ (* a (/ c b)) d) d)
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 a b) (/.f64 d c)) c)) b))
(*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 a b) (/.f64 d c)) c)) b)
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 a b) (/.f64 d c)) c))
(/.f64 (+.f64 (/.f64 a b) (/.f64 d c)) c)
(+.f64 (/.f64 a b) (/.f64 d c))
(/.f64 a b)
(/.f64 d 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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ d (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))
#s(approx (/ a (* b c)) #s(hole binary64 (/ a (* b c))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 d))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (+ d (/ (* a c) b))))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (+ (/ a (* b c)) (/ d (pow c 2)))))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (/ d c)))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (+ (/ a b) (/ d c))))
#s(approx (/ a b) #s(hole binary64 (/ a b)))
#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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (/ (* a c) b)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* a (+ (/ c b) (/ d a)))))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (* a (+ (/ 1 (* b c)) (/ d (* a (pow c 2)))))))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (* a (+ (/ 1 b) (/ d (* a c))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* 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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c b)) (* -1 (/ d a)))))))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ d (* a (pow c 2)))) (/ 1 (* b c)))))))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ d (* a c))) (/ 1 b))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) b)))
#s(approx (* b c) #s(hole binary64 (* b c)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (/ (+ (* a c) (* b d)) b)))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (/ (+ (/ a c) (/ (* b d) (pow c 2))) b)))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (/ (+ a (/ (* b d) c)) 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 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) (* 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) (* 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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ c (pow d 3))) (/ a (* b (pow d 2))))) (/ 1 d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (* b (pow d 4)))) (/ 1 (pow d 3)))) (/ a (* b (pow d 2))))) (/ 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 (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (/ (+ d (/ (* a c) b)) (pow c 2))))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (/ (+ d (/ (* a c) b)) 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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (/ a b) (/ d c)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ (* -1 (/ (pow d 3) (pow c 3))) (+ (/ a b) (/ d c))) (/ (* a (pow d 2)) (* b (pow c 2)))) c)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* c (+ (/ a b) (/ d c)))))
#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)) (+ (* 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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ d c))) c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (* a (pow d 2)) (* b c)))) c))) c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (- (/ (pow d 3) c) (* -1 (/ (* a (pow d 2)) b))) c))) c))) c))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ 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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (* b (pow c 3)))) (/ 1 (pow c 2)))) (/ a (* b c)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ d (pow c 4))) (/ a (* b (pow c 3))))) (/ 1 (pow c 2)))) (/ a (* b c)))))
#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) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (/ (* a c) (* b d))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 3)))) (/ (* a c) (* b d)))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* d (+ 1 (/ (* a c) (* b d))))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (* d (+ (/ 1 (pow c 2)) (/ a (* b (* c d)))))))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (* d (+ (/ 1 c) (/ a (* b d))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (* a c) (* b d))) 1) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a c) b)) d)) 1) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) (* b d)) (* -1 (pow c 2))) d)) (/ (* a c) b)) d)) 1) d))))
#s(approx (+ (* a (/ c b)) d) #s(hole binary64 (* -1 (* d (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (/ (+ (/ a b) (/ d c)) c) #s(hole binary64 (* -1 (* d (- (* -1 (/ a (* b (* c d)))) (/ 1 (pow c 2)))))))
#s(approx (+ (/ a b) (/ d c)) #s(hole binary64 (* -1 (* d (- (* -1 (/ a (* b d))) (/ 1 c))))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 c d) a b))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 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 (neg.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 d d)))) (neg.f64 (-.f64 b (*.f64 (/.f64 c d) a))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 d d)) (*.f64 b b))) (neg.f64 (-.f64 (*.f64 (/.f64 c d) a) b)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) b (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (-.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 d d)) (*.f64 b (*.f64 (/.f64 c d) a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)) (*.f64 (*.f64 b b) b))) (neg.f64 (fma.f64 (*.f64 (/.f64 c d) a) (*.f64 (/.f64 c d) a) (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c d) a) b)))))
(/.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 d d))) (-.f64 b (*.f64 (/.f64 c d) a)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c a) (*.f64 c a)) (*.f64 d d)) (*.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 a) (*.f64 c a)) (*.f64 d d)) (*.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))))
(fma.f64 (/.f64 c d) a b)
(fma.f64 a (/.f64 c d) b)
(+.f64 (*.f64 (/.f64 c d) a) b)
(+.f64 b (*.f64 (/.f64 c d) a))
a
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 c) (neg.f64 d))
(/.f64 c d)
c
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 b) (neg.f64 d))
(/.f64 b d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b))
(*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b)
(*.f64 b #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c)))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (*.f64 b c))))
(/.f64 (/.f64 (neg.f64 a) b) (neg.f64 c))
(/.f64 (neg.f64 a) (neg.f64 (*.f64 b c)))
(/.f64 (/.f64 a b) c)
(/.f64 a (*.f64 b c))
(*.f64 b c)
(*.f64 c b)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 #s(approx (+ (* a (/ c b)) d) d) b) (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 #s(approx (+ (* a (/ c b)) d) d) (fma.f64 d d (*.f64 c c))) b)
(*.f64 b (/.f64 #s(approx (+ (* a (/ c b)) d) d) (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* a (/ c b)) d) d) b)) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 #s(approx (+ (* a (/ c b)) d) d) b) (fma.f64 d d (*.f64 c c)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* a (/ c b)) d) d))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (neg.f64 #s(approx (+ (* a (/ c b)) d) d)) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (+ (* a (/ c b)) d) d) (fma.f64 d d (*.f64 c c)))
#s(approx (+ (* a (/ c b)) d) d)
(/.f64 (neg.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))))
(/.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 d d) (*.f64 d d)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (neg.f64 (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 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c 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 d d) (*.f64 c c))))))
(/.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 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (-.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c 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 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c 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 d d) (*.f64 c c)))))
(fma.f64 (fabs.f64 (fabs.f64 c)) (fabs.f64 (fabs.f64 c)) (*.f64 d d))
(fma.f64 (fabs.f64 (fabs.f64 d)) (fabs.f64 (fabs.f64 d)) (*.f64 c c))
(fma.f64 (neg.f64 (fabs.f64 c)) (neg.f64 (fabs.f64 c)) (*.f64 d d))
(fma.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 c)) (*.f64 d d))
(fma.f64 (neg.f64 (fabs.f64 d)) (neg.f64 (fabs.f64 d)) (*.f64 c c))
(fma.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 d)) (*.f64 c c))
(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 (fabs.f64 d) (fabs.f64 d) (*.f64 c c))
(fma.f64 (fabs.f64 c) (fabs.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 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(-.f64 (*.f64 d d) (*.f64 (neg.f64 c) c))
(-.f64 (*.f64 c c) (*.f64 (neg.f64 d) d))
(+.f64 (*.f64 d d) (*.f64 c c))
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 (fabs.f64 (fabs.f64 c)) (fabs.f64 (fabs.f64 c)))
(*.f64 (neg.f64 (fabs.f64 c)) (neg.f64 (fabs.f64 c)))
(*.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 c)))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 (fabs.f64 c) (fabs.f64 c))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 c) #s(literal 2 binary64))
(pow.f64 (neg.f64 c) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(fabs.f64 (*.f64 c c))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 d c) (/.f64 a b)) c)) b))
(*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 d c) (/.f64 a b)) c)) b)
(*.f64 b #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 d c) (/.f64 a b)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 d c) (/.f64 a b)) c))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 d c) (/.f64 a b)))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (+.f64 (/.f64 d c) (/.f64 a b))) (neg.f64 c))
(/.f64 (+.f64 (/.f64 d c) (/.f64 a b)) c)
(+.f64 (/.f64 a (*.f64 b c)) (/.f64 (/.f64 d c) c))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 d d) (*.f64 c c)))) (neg.f64 (-.f64 (/.f64 a b) (/.f64 d c))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 a b) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)))) (neg.f64 (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 (*.f64 d d) (*.f64 c c)) (/.f64 (*.f64 d a) (*.f64 b c))))))
(/.f64 (-.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (*.f64 d d) (*.f64 c c))) (-.f64 (/.f64 a b) (/.f64 d c)))
(/.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 a b) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c))) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 (*.f64 d d) (*.f64 c c)) (/.f64 (*.f64 d a) (*.f64 b c)))))
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 (*.f64 b c)))
(/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 b c))
(+.f64 (/.f64 d c) (/.f64 a b))
(+.f64 (/.f64 a b) (/.f64 d c))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 a) (neg.f64 b))
(/.f64 a b)
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 d) (neg.f64 c))
(/.f64 d 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 (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 a a)
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 d (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 d d (*.f64 c c))))
#s(approx (/ a (* b c)) (/.f64 a (*.f64 b c)))
#s(approx (+ (* a (/ c b)) d) d)
#s(approx (+ (* a (/ c b)) d) (fma.f64 (/.f64 c b) a d))
#s(approx (/ (+ (/ a b) (/ d c)) c) (/.f64 d (*.f64 c c)))
#s(approx (/ (+ (/ a b) (/ d c)) c) (+.f64 (/.f64 d (*.f64 c c)) (/.f64 a (*.f64 b c))))
#s(approx (+ (/ a b) (/ d c)) (/.f64 d c))
#s(approx (+ (/ a b) (/ d c)) (+.f64 (/.f64 d c) (/.f64 a b)))
#s(approx (/ a b) (/.f64 a b))
#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 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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (*.f64 (+.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))) a))
#s(approx (+ (* a (/ c b)) d) (*.f64 (/.f64 c b) a))
#s(approx (+ (* a (/ c b)) d) (*.f64 (+.f64 (/.f64 d a) (/.f64 c b)) a))
#s(approx (/ (+ (/ a b) (/ d c)) c) (*.f64 (+.f64 (/.f64 d (*.f64 (*.f64 c c) a)) (/.f64 #s(literal 1 binary64) (*.f64 b c))) a))
#s(approx (+ (/ a b) (/ d c)) (*.f64 (+.f64 (/.f64 d (*.f64 c a)) (/.f64 #s(literal 1 binary64) b)) a))
#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)))) (neg.f64 (/.f64 c (fma.f64 d d (*.f64 c c)))))))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 c (*.f64 d d))) (/.f64 (neg.f64 b) (*.f64 d a)))))
#s(approx (+ (* a (/ c d)) b) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 c d)) (/.f64 (neg.f64 b) a))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a))) (neg.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b))))))
#s(approx (+ (* a (/ c b)) d) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 d a)) (neg.f64 (/.f64 c b)))))
#s(approx (/ (+ (/ a b) (/ d c)) c) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 d (*.f64 (*.f64 c c) a))) (/.f64 #s(literal 1 binary64) (*.f64 b c)))))
#s(approx (+ (/ a b) (/ d c)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 d (*.f64 c a))) (/.f64 #s(literal 1 binary64) b))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) b))
#s(approx (* b c) (*.f64 b c))
#s(approx (+ (* a (/ c b)) d) (/.f64 (fma.f64 d b (*.f64 c a)) b))
#s(approx (/ (+ (/ a b) (/ d c)) c) (/.f64 (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) b))
#s(approx (+ (/ a b) (/ d c)) (/.f64 (fma.f64 b (/.f64 d c) a) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (fma.f64 (/.f64 c b) a 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 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 c b) a 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 a (/.f64 c (*.f64 d b)))) #s(literal 1 binary64))))
#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 d) (/.f64 c d))
#s(approx c c)
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (fma.f64 a (/.f64 c (*.f64 (*.f64 d d) b)) (/.f64 #s(literal 1 binary64) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (fma.f64 (+.f64 (/.f64 a (*.f64 (*.f64 d d) b)) (neg.f64 (/.f64 c (*.f64 (*.f64 d d) d)))) c (/.f64 #s(literal 1 binary64) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 (*.f64 (*.f64 d d) (*.f64 d d)) b)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) d))) c (/.f64 a (*.f64 (*.f64 d d) b))) c (/.f64 #s(literal 1 binary64) d)))
#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 b) (/ d c)) c) (/.f64 (fma.f64 (/.f64 c b) a d) (*.f64 c c)))
#s(approx (+ (/ a b) (/ d c)) (/.f64 (fma.f64 (/.f64 c b) a 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 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 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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 d c) (/.f64 a b)) c))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (+.f64 (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (*.f64 (*.f64 c c) b)) (/.f64 a b)) (/.f64 d c)) c))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (-.f64 (fma.f64 (neg.f64 (/.f64 d c)) (/.f64 (*.f64 d d) (*.f64 c c)) (+.f64 (/.f64 d c) (/.f64 a b))) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 (*.f64 c c) b))) c))
#s(approx (+ (* a (/ c b)) d) (*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) c))
#s(approx (+ (* d d) (* c c)) (*.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 b (/.f64 d 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 d)) b) d) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 b) (*.f64 d c)) (/.f64 (neg.f64 a) (*.f64 d d))) c)))
#s(approx (+ (* a (/ c d)) b) (neg.f64 (*.f64 (+.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 a) d)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 d c)) (/.f64 (neg.f64 a) b)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (*.f64 b c)) d) c)) (/.f64 (neg.f64 a) b)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) d) c) (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) b)) c)) d) c)) (/.f64 (neg.f64 a) b)) c)))
#s(approx (+ (* a (/ c b)) d) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 d c)) (/.f64 (neg.f64 a) b)) 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 b)) d) (+ (* d d) (* c c))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (neg.f64 (*.f64 a (/.f64 d (*.f64 (*.f64 (*.f64 c c) c) b))))) d (/.f64 a (*.f64 b c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 d (*.f64 (*.f64 c c) (*.f64 c c)))) (/.f64 a (*.f64 (*.f64 (*.f64 c c) c) b))) d (/.f64 #s(literal 1 binary64) (*.f64 c c))) d (/.f64 a (*.f64 b c))))
#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 b)) d) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) d))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (fma.f64 a (/.f64 c (*.f64 d b)) (neg.f64 (/.f64 (*.f64 c c) (*.f64 d d)))) #s(literal 1 binary64)) d))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (fma.f64 a (/.f64 c (*.f64 d b)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 (*.f64 (*.f64 d d) d) b)))) #s(literal 1 binary64)) (/.f64 (*.f64 c c) (*.f64 d d))) d))
#s(approx (+ (* a (/ c b)) d) (*.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (/ (+ (/ a b) (/ d c)) c) (*.f64 (+.f64 (/.f64 a (*.f64 (*.f64 d c) b)) (/.f64 #s(literal 1 binary64) (*.f64 c c))) d))
#s(approx (+ (/ a b) (/ d c)) (*.f64 (+.f64 (/.f64 a (*.f64 d b)) (/.f64 #s(literal 1 binary64) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 b) (neg.f64 (*.f64 (/.f64 c d) a))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 b) (neg.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (+.f64 (neg.f64 b) (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))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 d b)))) #s(literal 1 binary64)) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 (/.f64 (*.f64 c c) d))) d)) #s(literal 1 binary64)) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 d b)) (neg.f64 (*.f64 c c))) d))) d)) #s(literal 1 binary64)) d)))
#s(approx (+ (* a (/ c b)) d) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 a (/.f64 c (*.f64 d b)))) #s(literal 1 binary64)) d)))
#s(approx (/ (+ (/ a b) (/ d c)) c) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 (*.f64 d c) b)) (/.f64 #s(literal 1 binary64) (*.f64 c c))) d)))
#s(approx (+ (/ a b) (/ d c)) (neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 a) (*.f64 d b)) (/.f64 #s(literal 1 binary64) c)) d)))

eval22.0ms (0.5%)

Memory
26.5MiB live, 69.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 444 to 1 108 computations (54.7% saved)

prune16.0ms (0.4%)

Memory
-3.2MiB live, 43.1MiB allocated; 3ms collecting garbage
Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New1847191
Fresh41014
Picked235
Done022
Total19022212
Accuracy
99.6%
Counts
212 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.4%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
50.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
54.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
52.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
44.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 #s(approx (+ (* a (/ c b)) d) d) b) (fma.f64 d d (*.f64 c c))))
44.2%
#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))
24.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
48.1%
#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))
47.9%
#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))
24.8%
#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) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)) d))
41.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
23.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (/ a b) (/ d c)) (/.f64 d c)) c)) b))
33.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b))
41.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
36.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)))) b))
43.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 (/.f64 (*.f64 c c) d))) d)) #s(literal 1 binary64)) d))) b))
21.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(approx (/ (+ (/ a b) (/ d c)) c) (/.f64 d (*.f64 c c)))) b))
43.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
37.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (+.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 c c))) d)))
20.2%
#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 809 to 787 computations (2.7% saved)

series48.0ms (1.1%)

Memory
-11.3MiB live, 132.5MiB allocated; 11ms collecting garbage
Counts
31 → 110
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
b
(/.f64 d (*.f64 c c))
d
(*.f64 c c)
c
(/.f64 a c)
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
(*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b)
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal 1 binary64) d)
#s(literal 1 binary64)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d)
#s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a))
(*.f64 (/.f64 c d) a)
(/.f64 c d)
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(*.f64 d d)
#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))
(/.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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ d (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ 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 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 (* (/ c d) a) #s(hole binary64 (/ (* 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 (/ 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 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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ 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 (+ (/ b a) (/ c d)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ 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)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* -1 (* a (- (* -1 (/ c (* b d))) (/ 1 a))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) b)))
#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 (/ (+ (* 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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 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)) #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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 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)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (/ d (* c c)) #s(hole binary64 (/ d (pow c 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ c (pow d 3))) (/ a (* b (pow d 2))))) (/ 1 d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (* b (pow d 4)))) (/ 1 (pow d 3)))) (/ a (* b (pow d 2))))) (/ 1 d))))
#s(approx (/ c d) #s(hole binary64 (/ c 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 (/ (+ (* 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) (+ (* d d) (* c c))) #s(hole binary64 (/ a (* b c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (/ a b) (/ d c)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ (* -1 (/ (pow d 3) (pow c 3))) (+ (/ a b) (/ d c))) (/ (* a (pow d 2)) (* b (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)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ d c))) c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (* a (pow d 2)) (* b c)))) c))) c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (- (/ (pow d 3) c) (* -1 (/ (* a (pow d 2)) b))) c))) 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)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) 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 (+ (* 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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ a (* b c)) (/ d (pow c 2)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (* b (pow c 3)))) (/ 1 (pow c 2)))) (/ a (* b c)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ d (pow c 4))) (/ a (* b (pow c 3))))) (/ 1 (pow c 2)))) (/ a (* b 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) #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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (/ (* a c) (* b d))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 3)))) (/ (* a c) (* b d)))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* 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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (* a c) (* b d))) 1) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a c) b)) d)) 1) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) (* b d)) (* -1 (pow c 2))) d)) (/ (* a c) b)) d)) 1) d))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
Calls

12 calls:

TimeVariablePointExpression
7.0ms
d
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* b (/ d (* c c))) (/ a c)) b (/ d (* c c)) d (* c c) c (/ a c) a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ 1 d) 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (/ c d) a) (/ c d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* d d) (/ (+ (* 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)) (* d b))
6.0ms
c
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* b (/ d (* c c))) (/ a c)) b (/ d (* c c)) d (* c c) c (/ a c) a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ 1 d) 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (/ c d) a) (/ c d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* d d) (/ (+ (* 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)) (* d b))
6.0ms
a
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* b (/ d (* c c))) (/ a c)) b (/ d (* c c)) d (* c c) c (/ a c) a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ 1 d) 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (/ c d) a) (/ c d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* d d) (/ (+ (* 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)) (* d b))
4.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* b (/ d (* c c))) (/ a c)) b (/ d (* c c)) d (* c c) c (/ a c) a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ 1 d) 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (/ c d) a) (/ c d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* d d) (/ (+ (* 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)) (* d b))
3.0ms
b
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* b (/ d (* c c))) (/ a c)) b (/ d (* c c)) d (* c c) c (/ a c) a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/ 1 d) 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (* (/ c d) a) (/ c d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* d d) (/ (+ (* 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)) (* d b))

rewrite243.0ms (5.8%)

Memory
3.5MiB live, 284.0MiB allocated; 119ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05523300
05763094
132393068
088312886
Stop Event
iter-limit
node-limit
iter-limit
Counts
141 → 250
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
b
(/.f64 d (*.f64 c c))
d
(*.f64 c c)
c
(/.f64 a c)
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
(*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b)
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal 1 binary64) d)
#s(literal 1 binary64)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d)
#s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a))
(*.f64 (/.f64 c d) a)
(/.f64 c d)
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(*.f64 d d)
#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))
(/.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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ d (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ 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 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 (* (/ c d) a) #s(hole binary64 (/ (* 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 (/ 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 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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ 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 (+ (/ b a) (/ c d)))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ 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)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* a (/ c (* d b))) 1) #s(hole binary64 (* -1 (* a (- (* -1 (/ c (* b d))) (/ 1 a))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) b)))
#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 (/ (+ (* 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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 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)) #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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 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)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (/ d (* c c)) #s(hole binary64 (/ d (pow c 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ c (pow d 3))) (/ a (* b (pow d 2))))) (/ 1 d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (* b (pow d 4)))) (/ 1 (pow d 3)))) (/ a (* b (pow d 2))))) (/ 1 d))))
#s(approx (/ c d) #s(hole binary64 (/ c 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 (/ (+ (* 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) (+ (* d d) (* c c))) #s(hole binary64 (/ a (* b c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (/ a b) (/ d c)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ (* -1 (/ (* a (pow d 2)) (* b (pow c 2)))) (+ (/ a b) (/ d c))) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ (* -1 (/ (pow d 3) (pow c 3))) (+ (/ a b) (/ d c))) (/ (* a (pow d 2)) (* b (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)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#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 b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ d c))) c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (* a (pow d 2)) (* b c)))) c))) c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ a b)) (* -1 (/ (+ d (* -1 (/ (- (/ (pow d 3) c) (* -1 (/ (* a (pow d 2)) b))) c))) 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)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) 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 (+ (* 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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ a (* b c)) (/ d (pow c 2)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (* b (pow c 3)))) (/ 1 (pow c 2)))) (/ a (* b c)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ d (pow c 4))) (/ a (* b (pow c 3))))) (/ 1 (pow c 2)))) (/ a (* b 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) #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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (/ (* a c) (* b d))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (+ (* -1 (/ (* a (pow c 3)) (* b (pow d 3)))) (/ (* a c) (* b d)))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* 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 (+ (* b (/ d (* c c))) (/ a c)) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (* a c) (* b d))) 1) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow c 2) d)) (/ (* a c) b)) d)) 1) d))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) (* b d)) (* -1 (pow c 2))) d)) (/ (* a c) b)) d)) 1) d))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 d b) (*.f64 d b)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 a a) (*.f64 c c)))) (neg.f64 (-.f64 (*.f64 (/.f64 d (*.f64 c c)) b) (/.f64 a c))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (*.f64 (*.f64 d b) (*.f64 d b)) (*.f64 (*.f64 c c) (*.f64 c c))))) (neg.f64 (-.f64 (/.f64 a c) (*.f64 (/.f64 d (*.f64 c c)) b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c)))) (neg.f64 (fma.f64 (*.f64 (/.f64 d (*.f64 c c)) b) (*.f64 (/.f64 d (*.f64 c c)) b) (-.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (*.f64 (*.f64 d b) a) (*.f64 (*.f64 c c) c))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 a c) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 a c) (/.f64 a c) (-.f64 (/.f64 (*.f64 (*.f64 d b) (*.f64 d b)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 a (*.f64 d b)) (*.f64 (*.f64 c c) c))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 c c) a (*.f64 c (*.f64 d b)))) (*.f64 (neg.f64 c) (*.f64 c c)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 d b) (*.f64 d b)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 a a) (*.f64 c c))) (-.f64 (*.f64 (/.f64 d (*.f64 c c)) b) (/.f64 a c)))
(/.f64 (-.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (*.f64 (*.f64 d b) (*.f64 d b)) (*.f64 (*.f64 c c) (*.f64 c c)))) (-.f64 (/.f64 a c) (*.f64 (/.f64 d (*.f64 c c)) b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))) (fma.f64 (*.f64 (/.f64 d (*.f64 c c)) b) (*.f64 (/.f64 d (*.f64 c c)) b) (-.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (*.f64 (*.f64 d b) a) (*.f64 (*.f64 c c) c)))))
(/.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 a c) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64))) (fma.f64 (/.f64 a c) (/.f64 a c) (-.f64 (/.f64 (*.f64 (*.f64 d b) (*.f64 d b)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 a (*.f64 d b)) (*.f64 (*.f64 c c) c)))))
(/.f64 (fma.f64 (*.f64 c c) a (*.f64 c (*.f64 d b))) (*.f64 (*.f64 c c) c))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 d (*.f64 c c)) b) (/.f64 a c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d (*.f64 c c)) b))
b
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 (*.f64 c c))))
(/.f64 (neg.f64 d) (neg.f64 (*.f64 c c)))
(/.f64 (/.f64 (neg.f64 d) c) (neg.f64 c))
(/.f64 (/.f64 d c) c)
(/.f64 d (*.f64 c c))
d
(*.f64 (fabs.f64 (fabs.f64 c)) (fabs.f64 (fabs.f64 c)))
(*.f64 (neg.f64 (fabs.f64 c)) (neg.f64 (fabs.f64 c)))
(*.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 c)))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 (fabs.f64 c) (fabs.f64 c))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 c) #s(literal 2 binary64))
(pow.f64 (neg.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))))
c
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 a) (neg.f64 c))
(/.f64 a c)
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
(*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b)
(*.f64 b #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))
(pow.f64 d #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 d))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 d)))
(/.f64 #s(literal 1 binary64) d)
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#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) (+ (* d d) (* c c))) (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 d) c) (/.f64 (neg.f64 a) b)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (*.f64 b c)) d) c)) (/.f64 (neg.f64 a) b)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) d) c) (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) b)) c)) d) c)) (/.f64 (neg.f64 a) b)) 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)) (*.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (*.f64 d b) c)) (neg.f64 a))))
#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 (+.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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 d c) (/.f64 a b)) c))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (neg.f64 (*.f64 a (/.f64 d (*.f64 (*.f64 (*.f64 c c) c) b))))) d (/.f64 a (*.f64 b c))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (fma.f64 (fma.f64 (-.f64 (/.f64 (neg.f64 d) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 a (*.f64 (*.f64 (*.f64 c c) c) b))) d (/.f64 #s(literal 1 binary64) (*.f64 c c))) d (/.f64 a (*.f64 b 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) (/.f64 (fma.f64 (/.f64 c b) a 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 (+ (* b (/ d (* c c))) (/ a c)) (*.f64 (+.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c (*.f64 d b)) a #s(literal 1 binary64)) d))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (fma.f64 (/.f64 c (*.f64 d b)) a (neg.f64 (/.f64 (*.f64 c c) (*.f64 d d)))) #s(literal 1 binary64)) d))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 c (*.f64 d b)) a (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 (*.f64 (*.f64 d d) d) b)))) #s(literal 1 binary64)) (/.f64 (*.f64 c c) (*.f64 d d))) d))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* d d) (* c c)) (*.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 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 (+ (* b (/ d (* c c))) (/ a c)) (*.f64 (neg.f64 d) (+.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 (neg.f64 a) (*.f64 d c)))))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 c (*.f64 d b)) a)) #s(literal 1 binary64)) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 (/.f64 (*.f64 c c) d))) d)) #s(literal 1 binary64)) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 d b)) (neg.f64 (*.f64 c c))) d))) d)) #s(literal 1 binary64)) d)))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 d) (+.f64 (neg.f64 (*.f64 (/.f64 c d) a)) (neg.f64 b))))

eval25.0ms (0.6%)

Memory
-13.2MiB live, 45.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 664 to 1 165 computations (56.3% saved)

prune16.0ms (0.4%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Pruning

23 alts after pruning (14 fresh and 9 done)

PrunedKeptTotal
New2193222
Fresh11112
Picked145
Done055
Total22123244
Accuracy
99.6%
Counts
244 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.4%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
50.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
54.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
52.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
44.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 #s(approx (+ (* a (/ c b)) d) d) b) (fma.f64 d d (*.f64 c c))))
44.2%
#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))
24.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
21.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d))
24.8%
#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) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)) d))
20.9%
#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))
41.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
50.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+.f64 (/.f64 a c) (*.f64 (/.f64 d (*.f64 c c)) b)))
23.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (/ a b) (/ d c)) (/.f64 d c)) c)) b))
33.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b))
41.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
36.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)))) b))
43.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 (/.f64 (*.f64 c c) d))) d)) #s(literal 1 binary64)) d))) b))
21.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(approx (/ (+ (/ a b) (/ d c)) c) (/.f64 d (*.f64 c c)))) b))
43.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
37.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (+.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 c c))) d)))
20.2%
#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 893 to 666 computations (25.4% saved)

regimes50.0ms (1.2%)

Memory
0.6MiB live, 46.3MiB allocated; 3ms collecting garbage
Counts
40 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* a (/ c (* d d))) (/ b d)) (*.f64 (/.f64 c (*.f64 d d)) a)))
#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))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(approx (/ (+ (/ a b) (/ d c)) c) (/.f64 d (*.f64 c c)))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (/ a b) (/ d c)) (/.f64 d c)) c)) b))
#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 (*.f64 c a) d)) d))
#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 (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 (/ (+ (* b (/ d c)) a) c) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 c 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 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(approx (+ (* a (/ c b)) d) d) (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 #s(approx (+ (* a (/ c b)) d) d) b) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 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 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d 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 (/.f64 a c) (*.f64 (/.f64 d (*.f64 c c)) b)))
#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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 a b) (/.f64 d c)) c)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)) 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 b)) d) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) d)) b))
#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))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (+.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 c c))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)))) b))
(/.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 a (/.f64 c b) d) (fma.f64 d d (*.f64 c c))) b))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #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))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 (/.f64 (*.f64 c c) d))) d)) #s(literal 1 binary64)) d))) b))
#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)))
Outputs
#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)))
(/.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 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
Calls

5 calls:

11.0ms
b
9.0ms
a
9.0ms
c
9.0ms
d
8.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
76.4%3(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
69.3%4a
69.2%4b
87.2%5c
86.0%5d
Compiler

Compiled 15 to 27 computations (-80% saved)

regimes18.0ms (0.4%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Counts
35 → 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 b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* a (/ c (* d d))) (/ b d)) (*.f64 (/.f64 c (*.f64 d d)) a)))
#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))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(approx (/ (+ (/ a b) (/ d c)) c) (/.f64 d (*.f64 c c)))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (/ a b) (/ d c)) (/.f64 d c)) c)) b))
#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 (*.f64 c a) d)) d))
#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 (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 (/ (+ (* b (/ d c)) a) c) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 c 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 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(approx (+ (* a (/ c b)) d) d) (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 #s(approx (+ (* a (/ c b)) d) d) b) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 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 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d 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 (/.f64 a c) (*.f64 (/.f64 d (*.f64 c c)) b)))
#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 (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 a b) (/.f64 d c)) c)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)) 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 b)) d) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 c (*.f64 d b)) #s(literal 1 binary64)) d)) b))
#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))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (+.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 c c))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (*.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)))) b))
Outputs
#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))) (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 (fma.f64 a (/.f64 c d) b) d))
Calls

2 calls:

8.0ms
c
8.0ms
d
Results
AccuracySegmentsBranch
80.0%3d
78.9%3c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes9.0ms (0.2%)

Memory
-38.2MiB live, 8.0MiB allocated; 1ms collecting garbage
Counts
25 → 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 b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* a (/ c (* d d))) (/ b d)) (*.f64 (/.f64 c (*.f64 d d)) a)))
#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))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(approx (/ (+ (/ a b) (/ d c)) c) (/.f64 d (*.f64 c c)))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (/ a b) (/ d c)) (/.f64 d c)) c)) b))
#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 (*.f64 c a) d)) d))
#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 (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 (/ (+ (* b (/ d c)) a) c) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 c 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 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(approx (+ (* a (/ c b)) d) d) (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 #s(approx (+ (* a (/ c b)) d) d) b) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 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 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
Outputs
#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))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Calls

1 calls:

7.0ms
d
Results
AccuracySegmentsBranch
79.7%3d
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes11.0ms (0.3%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Counts
13 → 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 b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* a (/ c (* d d))) (/ b d)) (*.f64 (/.f64 c (*.f64 d d)) a)))
#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))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(approx (/ (+ (/ a b) (/ d c)) c) (/.f64 d (*.f64 c c)))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (/ a b) (/ d c)) (/.f64 d c)) c)) b))
#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 (*.f64 c a) d)) d))
#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 (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

3 calls:

4.0ms
c
3.0ms
d
3.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
52.2%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
74.0%3c
70.8%3d
Compiler

Compiled 13 to 19 computations (-46.2% saved)

regimes14.0ms (0.3%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* a (/ c (* d d))) (/ b d)) (*.f64 (/.f64 c (*.f64 d d)) a)))
#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))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) #s(approx (/ (+ (/ a b) (/ d c)) c) (/.f64 d (*.f64 c c)))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 a (*.f64 b c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (/ a b) (/ d c)) (/.f64 d c)) c)) b))
#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 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) 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:

3.0ms
c
3.0ms
a
3.0ms
b
3.0ms
d
Results
AccuracySegmentsBranch
56.6%5b
55.7%6a
63.3%3d
66.3%3c
Compiler

Compiled 4 to 16 computations (-300% saved)

regimes5.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB 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
b
1.0ms
d
1.0ms
a
1.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
42.4%1a
42.4%1b
42.4%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
42.4%1d
42.4%1c
Compiler

Compiled 15 to 27 computations (-80% saved)

bsearch46.0ms (1.1%)

Memory
-11.0MiB live, 35.4MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.1480055005009694e+110
2.355669692630984e+114
13.0ms
9.398651702280738e-187
1.633519603113677e-175
5.0ms
-1.2497451483913127e-126
-6.881719519542832e-127
13.0ms
-3.2056840414431936e+121
-1.4752197458418993e+116
Samples
25.0ms496×0valid
Compiler

Compiled 860 to 922 computations (-7.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult!: 10.0ms (73.5% of total)
ival-add!: 2.0ms (14.7% of total)
ival-div!: 2.0ms (14.7% of total)
adjust: 0.0ms (0% of total)

bsearch22.0ms (0.5%)

Memory
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
9.963641753371502e+40
1.2400086717430067e+42
12.0ms
-6.46439106076044e+38
-2.590874876452742e+32
Samples
12.0ms240×0valid
Compiler

Compiled 528 to 558 computations (-5.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 4.0ms (66.4% of total)
ival-add!: 1.0ms (16.6% of total)
ival-div!: 1.0ms (16.6% of total)
adjust: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.963641753371502e+40
1.2400086717430067e+42
1.0ms
-6.46439106076044e+38
-2.590874876452742e+32
Compiler

Compiled 468 to 498 computations (-6.4% saved)

bsearch22.0ms (0.5%)

Memory
-34.4MiB live, 13.9MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
5.0ms
8.608514768971471e+33
1.337392164158101e+34
15.0ms
-9.160019197431413e+102
-1.988391122744408e+98
Samples
9.0ms192×0valid
Compiler

Compiled 354 to 378 computations (-6.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 3.0ms (62.5% of total)
ival-add!: 1.0ms (20.8% of total)
ival-div!: 1.0ms (20.8% of total)
adjust: 0.0ms (0% of total)

bsearch16.0ms (0.4%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
8.608514768971471e+33
1.337392164158101e+34
13.0ms
-1.9723482078497625e+87
-1.0159775724328861e+74
Samples
8.0ms176×0valid
Compiler

Compiled 382 to 410 computations (-7.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 3.0ms (68.8% of total)
ival-add!: 1.0ms (22.9% of total)
ival-div!: 1.0ms (22.9% of total)
adjust: 0.0ms (0% of total)

derivations99.0ms (2.4%)

Memory
-5.2MiB live, 40.1MiB allocated; 3ms collecting garbage
Stop Event
fuel
Compiler

Compiled 102 to 72 computations (29.4% saved)

preprocess52.0ms (1.2%)

Memory
-12.7MiB live, 79.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 135 to 103 computations (23.7% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...