Complex division, real part

Time bar (total: 3.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze31.0ms (1%)

Memory
-4.1MiB live, 39.2MiB allocated; 9ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.0s (32.1%)

Memory
34.4MiB live, 1 205.4MiB allocated; 238ms collecting garbage
Samples
649.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 329.0ms
ival-mult!: 177.0ms (53.8% of total)
ival-add!: 113.0ms (34.3% of total)
ival-div!: 37.0ms (11.2% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

explain182.0ms (5.8%)

Memory
-23.5MiB live, 230.8MiB allocated; 40ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
982(6.045489729538707e+171 -1.4868056261910852e-127 8.227057662003268e-185 2.0746456332876859e+195)2(3.386934839517786e-198 1.2027782355727457e-204 -2.3590941723076217e-307 -3.033996996425509e-107)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
30-0-(+.f64 (*.f64 a c) (*.f64 b d))
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
00-0-d
00-0-(*.f64 d d)
00-0-(*.f64 c c)
00-0-(*.f64 a c)
00-0-c
00-0-b
00-0-(*.f64 b d)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/o490
(+.f64 (*.f64 a c) (*.f64 b d))overflow60
(*.f64 a c)overflow27
(*.f64 b d)overflow38
(+.f64 (*.f64 c c) (*.f64 d d))overflow109
(*.f64 c c)overflow50
(*.f64 d d)overflow74
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o280
(+.f64 (*.f64 c c) (*.f64 d d))overflow109
(*.f64 c c)overflow50
(*.f64 d d)overflow74
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n110
(+.f64 (*.f64 a c) (*.f64 b d))overflow60
(*.f64 a c)overflow27
(*.f64 b d)overflow38
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/n40
(+.f64 (*.f64 a c) (*.f64 b d))underflow7
(*.f64 a c)underflow35
(*.f64 b d)underflow32
+.f64(+.f64 (*.f64 a c) (*.f64 b d))nan-rescue30
(*.f64 a c)overflow27
(*.f64 b d)overflow38
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u30
(+.f64 (*.f64 c c) (*.f64 d d))underflow12
(*.f64 c c)underflow69
(*.f64 d d)underflow59
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u30
(+.f64 (*.f64 a c) (*.f64 b d))underflow7
(*.f64 a c)underflow35
(*.f64 b d)underflow32
(+.f64 (*.f64 c c) (*.f64 d d))underflow12
(*.f64 c c)underflow69
(*.f64 d d)underflow59
Confusion
Predicted +Predicted -
+962
-2156
Precision
0.9795918367346939
Recall
0.9795918367346939
Confusion?
Predicted +Predicted MaybePredicted -
+9602
-20156
Precision?
0.9795918367346939
Recall?
0.9795918367346939
Freqs
test
numberfreq
0158
195
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms512×0valid
Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult!: 9.0ms (66.7% of total)
ival-add!: 2.0ms (14.8% of total)
ival-div!: 2.0ms (14.8% of total)
adjust: 0.0ms (0% of total)

preprocess29.0ms (0.9%)

Memory
-14.5MiB live, 30.6MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062229
1204225
2491225
3900225
41528225
51875225
Stop Event
saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.3%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

series19.0ms (0.6%)

Memory
36.5MiB live, 36.5MiB allocated; 0ms collecting garbage
Counts
11 → 51
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* a c) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (* b d) #s(hole binary64 (* b d)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx d #s(hole binary64 d))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
Calls

12 calls:

TimeVariablePointExpression
3.0ms
d
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms
b
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))
2.0ms
a
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))
1.0ms
c
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* c c) (* d d))

rewrite179.0ms (5.7%)

Memory
-10.7MiB live, 316.2MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02481350
02571292
114631256
083481138
Stop Event
iter-limit
node-limit
iter-limit
Counts
62 → 161
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* a c) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (* b d) #s(hole binary64 (* b d)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx d #s(hole binary64 d))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64))) (-.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (*.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))))))
(/.f64 (+.f64 (neg.f64 (*.f64 c a)) (neg.f64 (*.f64 d b))) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (+.f64 (neg.f64 (*.f64 d b)) (neg.f64 (*.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))))
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a
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#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (*.f64 a (/.f64 d (pow.f64 c #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx d d)
#s(approx (* d d) (*.f64 d d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c c) d) (/.f64 (*.f64 c a) 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 (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (*.f64 (/.f64 (*.f64 c c) d) (/.f64 b 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 #s(literal -1 binary64) (fma.f64 a (/.f64 c d) b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) b))) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c d) b))))

eval17.0ms (0.5%)

Memory
6.2MiB live, 53.4MiB allocated; 2ms collecting garbage
Compiler

Compiled 4 067 to 610 computations (85% saved)

prune10.0ms (0.3%)

Memory
-19.2MiB live, 28.4MiB allocated; 1ms collecting garbage
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New14313156
Fresh000
Picked101
Done000
Total14413157
Accuracy
99.8%
Counts
157 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
54.4%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 a (/.f64 c b) d) b)) (+.f64 (*.f64 c c) (*.f64 d d)))
43.7%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
39.1%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
45.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
45.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
58.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
50.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
38.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
56.6%
#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))
46.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
41.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
40.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
Compiler

Compiled 624 to 398 computations (36.2% saved)

series55.0ms (1.8%)

Memory
14.3MiB live, 121.8MiB allocated; 17ms collecting garbage
Counts
25 → 178
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(/.f64 d (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
(+.f64 (*.f64 c c) (*.f64 d d))
(*.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 (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)
(/.f64 c b)
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 b))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx a #s(hole binary64 a))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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 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)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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 (/ (+ (* 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)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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 #s(hole binary64 b))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (* d b) #s(hole binary64 (* b d)))
#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 (/ (+ (* 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)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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)) (+ (* 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)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ c d) #s(hole binary64 (/ c d)))
#s(approx c #s(hole binary64 c))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ b d)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ a c)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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 (/ (+ (* 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)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx d #s(hole binary64 d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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)))))
Calls

12 calls:

TimeVariablePointExpression
9.0ms
d
@0
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* d 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 (/ c b)) d) (/ c b))
8.0ms
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))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* d 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 (/ c b)) d) (/ c b))
6.0ms
d
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* d 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 (/ c b)) d) (/ c b))
4.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* d 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 (/ c b)) d) (/ c b))
4.0ms
c
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) a (/ c d) c d b (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* d 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 (/ c b)) d) (/ c b))

rewrite226.0ms (7.2%)

Memory
3.6MiB live, 327.1MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07445253
07704892
142394886
096724758
Stop Event
iter-limit
node-limit
iter-limit
Counts
203 → 330
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(/.f64 d (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
(+.f64 (*.f64 c c) (*.f64 d d))
(*.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 (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)
(/.f64 c b)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 b))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx a #s(hole binary64 a))
#s(approx (/ a c) #s(hole binary64 (/ a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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 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)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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 (/ (+ (* 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)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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 #s(hole binary64 b))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (* d b) #s(hole binary64 (* b d)))
#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 (/ (+ (* 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)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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)) (+ (* 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)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ c d) #s(hole binary64 (/ c d)))
#s(approx c #s(hole binary64 c))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ 1 d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ b d)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ a c)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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 (/ (+ (* 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)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx d #s(hole binary64 d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) #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)))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (*.f64 (/.f64 c d) a) (neg.f64 d) (*.f64 d (neg.f64 b))) (*.f64 d (neg.f64 d)))
(/.f64 (fma.f64 (*.f64 (/.f64 c d) a) d (*.f64 d b)) (*.f64 d d))
(/.f64 (fma.f64 (neg.f64 b) d (*.f64 (neg.f64 d) (*.f64 (/.f64 c d) a))) (*.f64 (neg.f64 d) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(/.f64 (*.f64 (fma.f64 (/.f64 c d) a b) d) (*.f64 d d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+.f64 (/.f64 (*.f64 (/.f64 c d) a) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 c d) a) d))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) (-.f64 b (*.f64 (/.f64 c d) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (*.f64 (/.f64 c d) a) b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b (*.f64 (/.f64 c d) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (-.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 c) (neg.f64 d))
(/.f64 c d)
c
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 (neg.f64 a) (neg.f64 c))
(/.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (*.f64 d b)) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
(/.f64 (neg.f64 d) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 d (fma.f64 d d (*.f64 c c)))
(/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (-.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (-.f64 (*.f64 d d) (*.f64 c c)))
(/.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (+.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (+.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 d)) (*.f64 c c))
(fma.f64 (neg.f64 (fabs.f64 d)) (neg.f64 (fabs.f64 d)) (*.f64 c c))
(fma.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 c)) (*.f64 d d))
(fma.f64 (neg.f64 (fabs.f64 c)) (neg.f64 (fabs.f64 c)) (*.f64 d d))
(fma.f64 (fabs.f64 (fabs.f64 d)) (fabs.f64 (fabs.f64 d)) (*.f64 c c))
(fma.f64 (fabs.f64 (fabs.f64 c)) (fabs.f64 (fabs.f64 c)) (*.f64 d d))
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d))
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c))
(fma.f64 (neg.f64 c) (neg.f64 c) (*.f64 d d))
(fma.f64 (neg.f64 d) (neg.f64 d) (*.f64 c c))
(fma.f64 (fabs.f64 c) (fabs.f64 c) (*.f64 d d))
(fma.f64 (fabs.f64 d) (fabs.f64 d) (*.f64 c c))
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#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
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#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (/.f64 (fma.f64 b (/.f64 d c) a) c))
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#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) #s(literal -1 binary64) (+.f64 (/.f64 d c) (/.f64 a b))) (*.f64 (/.f64 a b) (/.f64 (*.f64 d d) (*.f64 c c)))) c))
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#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) a))) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (neg.f64 c) (fma.f64 (/.f64 b (*.f64 d c)) #s(literal -1 binary64) (/.f64 (neg.f64 a) (*.f64 d d)))))
#s(approx (+ (* a (/ c d)) b) (*.f64 (neg.f64 c) (fma.f64 (/.f64 b c) #s(literal -1 binary64) (/.f64 (neg.f64 a) d))))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a)) c)))
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#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) a))) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 d c) #s(literal -1 binary64) (/.f64 (neg.f64 a) b)) c)))
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#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) b)) c) #s(literal -1 binary64) d) c) #s(literal -1 binary64) (/.f64 (neg.f64 a) b)) c)))
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#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
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#s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d))
#s(approx d d)
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#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
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#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 c d) a b) d))
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#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (/.f64 (+.f64 (fma.f64 (/.f64 a b) (/.f64 c d) (/.f64 (neg.f64 (*.f64 c c)) (*.f64 d d))) #s(literal 1 binary64)) d))
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#s(approx (+ (* a (/ c b)) d) (*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) b))) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 b)) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) b) (pow.f64 d #s(literal 4 binary64)))))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) b (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) b) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 b (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))))) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal -1 binary64) #s(literal 1 binary64))) d)))
#s(approx (/ d (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) d)))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b))))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (* (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) b) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) b))) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a (/ c b)) d) (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (/.f64 c b) a) 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 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 (fma.f64 (/.f64 a b) (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 #s(literal 1 binary64) (*.f64 c c))) d))) d)) #s(literal 1 binary64)) d)))
#s(approx (+ (* a (/ c b)) d) (*.f64 (neg.f64 d) (-.f64 (neg.f64 (/.f64 (*.f64 (/.f64 c b) a) d)) #s(literal 1 binary64))))

eval70.0ms (2.2%)

Memory
24.9MiB live, 115.1MiB allocated; 22ms collecting garbage
Compiler

Compiled 13 220 to 1 594 computations (87.9% saved)

prune34.0ms (1.1%)

Memory
-25.1MiB live, 61.9MiB allocated; 26ms collecting garbage
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New3479356
Fresh268
Picked325
Done000
Total35217369
Accuracy
99.8%
Counts
369 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
43.7%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
39.1%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
45.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
45.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
58.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
54.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c))))
54.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) b)) d))
21.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
50.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) b) d))
38.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
37.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (fma.f64 a (/.f64 c b) d) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) b))
16.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
41.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
40.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
38.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
19.2%
#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 901 to 550 computations (39% saved)

series51.0ms (1.6%)

Memory
18.9MiB live, 78.5MiB allocated; 26ms collecting garbage
Counts
28 → 179
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c)))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(fma.f64 (/.f64 c b) a d)
(/.f64 c b)
c
b
a
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 d)) b) b) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) b) d)
#s(approx (+ (* a (/ c d)) b) b)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(*.f64 d d)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* b d)))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 d))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (+ d (/ (* a c) b))))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 b))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#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) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#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))))))
#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 (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* a c)))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (/ (* a c) b)))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (* a (+ (/ c b) (/ d a)))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c b)) (* -1 (/ d a)))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* (/ c b) a) 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 (* d b) #s(hole binary64 (* b d)))
#s(approx (* b d) #s(hole binary64 (* b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* b (+ 1 (/ (* a c) (* b d))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #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 (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #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 b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ b d)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #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 (+ (* 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 c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ a c)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (* c (+ (/ a b) (/ d c)))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ a 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 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -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) (* -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 (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #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 d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #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)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* (/ c b) a) 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 (/ c d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #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 (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (* -1 (* d (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -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 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
22.0ms
c
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (* (+ (* (/ c b) a) d) b) (+ (* (/ c b) a) d) (/ c b) c b a d (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (* d d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* a c) (* b d)) (* d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))
3.0ms
b
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (* (+ (* (/ c b) a) d) b) (+ (* (/ c b) a) d) (/ c b) c b a d (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (* d d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* a c) (* b d)) (* d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))
3.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (* (+ (* (/ c b) a) d) b) (+ (* (/ c b) a) d) (/ c b) c b a d (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (* d d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* a c) (* b d)) (* d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))
3.0ms
d
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (* (+ (* (/ c b) a) d) b) (+ (* (/ c b) a) d) (/ c b) c b a d (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (* d d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* a c) (* b d)) (* d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))
3.0ms
a
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (* (+ (* (/ c b) a) d) b) (+ (* (/ c b) a) d) (/ c b) c b a d (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (* d d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* a c) (* b d)) (* d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) (* b d) (+ (* c c) (* d d)))

rewrite289.0ms (9.3%)

Memory
11.5MiB live, 297.4MiB allocated; 170ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04814923
05064550
122964412
095154290
Stop Event
iter-limit
node-limit
iter-limit
Counts
207 → 387
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c)))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(fma.f64 (/.f64 c b) a d)
(/.f64 c b)
c
b
a
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 d)) b) b) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) b) d)
#s(approx (+ (* a (/ c d)) b) b)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(*.f64 d d)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* b d)))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 d))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (+ d (/ (* a c) b))))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 b))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#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) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#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))))))
#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 (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* a c)))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (/ (* a c) b)))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (* a (+ (/ c b) (/ d a)))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* a (+ (/ b a) (/ c d)))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c b)) (* -1 (/ d a)))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* (/ c b) a) 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 (* d b) #s(hole binary64 (* b d)))
#s(approx (* b d) #s(hole binary64 (* b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* b (+ 1 (/ (* a c) (* b d))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #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 (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #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 b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ b d)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #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 (+ (* 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 c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ a c)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (* c (+ (/ a b) (/ d c)))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* c (+ (/ a d) (/ b c)))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ a 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 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -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) (* -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 (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #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 d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (+ (* a (/ c d)) b) #s(hole binary64 (/ (+ (* a c) (* b d)) d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #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)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* (/ c b) a) 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 (/ c d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #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 (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (* (+ (* (/ c b) a) d) b) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (+ (* (/ c b) a) d) #s(hole binary64 (* -1 (* d (- (* -1 (/ (* a c) (* b d))) 1)))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -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 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
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (*.f64 (fma.f64 (/.f64 c b) a d) (/.f64 b (fma.f64 d d (*.f64 c c)))))
(*.f64 (fma.f64 (/.f64 c b) a d) (/.f64 b (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 (-.f64 (*.f64 d d) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))) b) (*.f64 (-.f64 d (*.f64 (/.f64 c b) a)) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) (*.f64 d d)) b) (*.f64 (-.f64 (*.f64 (/.f64 c b) a) d) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 3 binary64))) b) (*.f64 (fma.f64 d d (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) (*.f64 d (*.f64 (/.f64 c b) a)))) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) b) (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) (-.f64 (*.f64 d d) (*.f64 (*.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 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (*.f64 (/.f64 c b) a) b) (fma.f64 d d (*.f64 c c))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b (*.f64 (/.f64 c b) a)) (fma.f64 d d (*.f64 c c))))
(+.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 (*.f64 (/.f64 c b) a) b) (fma.f64 d d (*.f64 c c))))
(+.f64 (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 b (*.f64 (/.f64 c b) a)) (fma.f64 d d (*.f64 c c))))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(*.f64 b (fma.f64 (/.f64 c b) a d))
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) a) b) (*.f64 (*.f64 (/.f64 c b) a) b)) (*.f64 (*.f64 d b) (*.f64 (*.f64 (/.f64 c b) a) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 b (*.f64 (/.f64 c b) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 b (*.f64 (/.f64 c b) a)) (*.f64 b (*.f64 (/.f64 c b) a))) (*.f64 (*.f64 d b) (*.f64 b (*.f64 (/.f64 c b) a))))))
(fma.f64 d b (*.f64 (*.f64 (/.f64 c b) a) b))
(fma.f64 d b (*.f64 b (*.f64 (/.f64 c b) a)))
(fma.f64 b d (*.f64 (*.f64 (/.f64 c b) a) b))
(fma.f64 b d (*.f64 b (*.f64 (/.f64 c b) a)))
(+.f64 (*.f64 d b) (*.f64 (*.f64 (/.f64 c b) a) b))
(+.f64 (*.f64 d b) (*.f64 b (*.f64 (/.f64 c b) a)))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 d (*.f64 (/.f64 c b) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) (*.f64 d d))) (neg.f64 (-.f64 (*.f64 (/.f64 c b) a) d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 d d (-.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) (*.f64 d (*.f64 (/.f64 c b) a))))))
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#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a)) c)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) a))) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (* (+ (* (/ c b) a) d) b) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a))))
#s(approx (+ (* (/ c b) a) d) (*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 a) b) (/.f64 d c))))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 b c) (/.f64 (neg.f64 a) (*.f64 d d)))))
#s(approx (+ (* a (/ c d)) b) (*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 b c) (/.f64 (neg.f64 a) (*.f64 d d)))))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) a))) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (fma.f64 (fma.f64 (*.f64 a (/.f64 d (pow.f64 c #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (fma.f64 (fma.f64 (*.f64 a (/.f64 d (pow.f64 c #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx d d)
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d) d))
#s(approx (+ (* a (/ c d)) b) (/.f64 (fma.f64 d b (*.f64 c a)) d))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d) d))
#s(approx (* d d) (*.f64 d d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (fma.f64 (fma.f64 (*.f64 a (/.f64 d (pow.f64 c #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 a (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) d))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (/.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) b) d))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 a (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) d))
#s(approx (* (+ (* (/ c b) a) d) b) (*.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* (/ c b) a) d) (*.f64 (fma.f64 (/.f64 a d) (/.f64 c b) #s(literal 1 binary64)) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 a (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) d))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) b))) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (* (+ (* (/ c b) a) d) b) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) b))) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (* (+ (* (/ c b) a) d) b) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b))))
#s(approx (+ (* (/ c b) a) d) (*.f64 (neg.f64 d) (-.f64 (neg.f64 (/.f64 (*.f64 (/.f64 c b) a) d)) #s(literal 1 binary64))))
#s(approx (/ (+ (* a (/ c d)) b) d) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (*.f64 c c) b) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) b))) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b))))

eval43.0ms (1.4%)

Memory
-11.5MiB live, 89.8MiB allocated; 13ms collecting garbage
Compiler

Compiled 14 416 to 1 465 computations (89.8% saved)

prune18.0ms (0.6%)

Memory
-7.4MiB live, 38.7MiB allocated; 5ms collecting garbage
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New37410384
Fresh6410
Picked235
Done022
Total38219401
Accuracy
99.9%
Counts
401 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
43.7%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
31.8%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
45.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
45.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
57.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) b) d))
40.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
58.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
35.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) #s(approx (+ (* d d) (* c c)) (*.f64 d d))))
29.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 #s(approx (+ (* (/ c b) a) d) (*.f64 (/.f64 c b) a)) b) (fma.f64 d d (*.f64 c c))))
54.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) b)) d))
21.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
50.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) b) d))
39.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (* (+ (* (/ c b) a) d) b) (*.f64 c a)) (fma.f64 d d (*.f64 c c))))
38.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
16.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
38.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
19.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) (*.f64 d d))))
19.2%
#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 1 008 to 608 computations (39.7% saved)

series57.0ms (1.8%)

Memory
-17.0MiB live, 128.6MiB allocated; 7ms collecting garbage
Counts
32 → 206
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) b) d))
(/.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) b) d)
(+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) b)
(fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))))
(/.f64 c d)
c
d
a
(neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))
(*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))
b
(pow.f64 (/.f64 c d) #s(literal 2 binary64))
#s(literal 2 binary64)
#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 d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))
(*.f64 a (/.f64 c (*.f64 d d)))
(/.f64 c (*.f64 d d))
(*.f64 d d)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 b c)
(/.f64 d c)
(/.f64 a c)
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#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))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (- b (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3)))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (- b (/ (* b (pow c 2)) (pow d 2)))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* -1 (/ (* b (pow c 2)) (pow d 2)))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (- (/ (* a c) d) (/ (* b (pow c 2)) (pow d 2)))))
#s(approx a #s(hole binary64 a))
#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 d))) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#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 (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (+ (* (/ b c) (/ d 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 c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3)))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* 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) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ a c)))
#s(approx (+ (* (/ b c) (/ d 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 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a)))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* a (/ c 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2)))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (+ (* b (- 1 (/ (pow c 2) (pow d 2)))) (/ (* a c) d))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))))
#s(approx (neg (* b (pow (/ c d) 2))) #s(hole binary64 (* -1 (/ (* b (pow c 2)) (pow d 2)))))
#s(approx (* b (pow (/ c d) 2)) #s(hole binary64 (/ (* b (pow c 2)) (pow d 2))))
#s(approx b #s(hole binary64 b))
#s(approx (* d b) #s(hole binary64 (* b d)))
#s(approx (/ b c) #s(hole binary64 (/ b c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (* b (- 1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* b (- 1 (/ (pow c 2) (pow d 2))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* b (- (/ (* a c) (* b d)) (/ (pow c 2) (pow d 2))))))
#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) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) (* -1 (/ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* a (/ c 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #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) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 b))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))))
#s(approx (/ c d) #s(hole binary64 (/ c d)))
#s(approx c #s(hole binary64 c))
#s(approx (pow (/ c d) 2) #s(hole binary64 (/ (pow c 2) (pow d 2))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ c (* d d)) #s(hole binary64 (/ c (pow d 2))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (/ d c) #s(hole binary64 (/ d c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ a 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 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* -1 (/ (* b (pow c 2)) (pow d 3)))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* -1 (/ (* b (pow c 2)) (pow d 2)))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* (pow c 2) (- (+ (/ a (* c d)) (/ b (pow c 2))) (/ b (pow d 2))))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -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) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* (pow c 2) (- (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)) (/ b (pow d 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) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (/ (- (* a (* c d)) (* b (pow c 2))) (pow d 2))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (/ (- (* d (+ (* a c) (* b d))) (* b (pow c 2))) (pow d 2))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (/ (- (* a (* c d)) (* b (pow c 2))) (pow d 2))))
#s(approx d #s(hole binary64 d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #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 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* (/ b c) (/ d 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 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -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 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
Calls

12 calls:

TimeVariablePointExpression
8.0ms
a
@0
((/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) (/ c d) c d a (neg (* b (pow (/ c d) 2))) (* b (pow (/ c d) 2)) b (pow (/ c d) 2) 2 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* a c) (* b d)) (* d b) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c) (/ d c) (/ a c))
6.0ms
d
@-inf
((/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) (/ c d) c d a (neg (* b (pow (/ c d) 2))) (* b (pow (/ c d) 2)) b (pow (/ c d) 2) 2 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* a c) (* b d)) (* d b) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c) (/ d c) (/ a c))
5.0ms
c
@0
((/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) (/ c d) c d a (neg (* b (pow (/ c d) 2))) (* b (pow (/ c d) 2)) b (pow (/ c d) 2) 2 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* a c) (* b d)) (* d b) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c) (/ d c) (/ a c))
5.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) (/ c d) c d a (neg (* b (pow (/ c d) 2))) (* b (pow (/ c d) 2)) b (pow (/ c d) 2) 2 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* a c) (* b d)) (* d b) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c) (/ d c) (/ a c))
4.0ms
a
@inf
((/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) (/ c d) c d a (neg (* b (pow (/ c d) 2))) (* b (pow (/ c d) 2)) b (pow (/ c d) 2) 2 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (* a (/ c (* d d))) (/ c (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* a c) (* b d)) (* d b) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c) (/ d c) (/ a c))

rewrite178.0ms (5.7%)

Memory
16.5MiB live, 249.5MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06146310
06415960
130975885
088145567
Stop Event
iter-limit
node-limit
iter-limit
Counts
238 → 376
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) b) d))
(/.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) b) d)
(+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) b)
(fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))))
(/.f64 c d)
c
d
a
(neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))
(*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64)))
b
(pow.f64 (/.f64 c d) #s(literal 2 binary64))
#s(literal 2 binary64)
#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 d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))
(*.f64 a (/.f64 c (*.f64 d d)))
(/.f64 c (*.f64 d d))
(*.f64 d d)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(/.f64 b c)
(/.f64 d c)
(/.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#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))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (- b (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3)))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (- b (/ (* b (pow c 2)) (pow d 2)))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* -1 (/ (* b (pow c 2)) (pow d 2)))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (- (/ (* a c) d) (/ (* b (pow c 2)) (pow d 2)))))
#s(approx a #s(hole binary64 a))
#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 d))) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#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 (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (+ (* (/ b c) (/ d 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 c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3)))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (/ (* a c) d)))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* 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) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ a c)))
#s(approx (+ (* (/ b c) (/ d 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 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a)))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* a (/ c 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2)))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (+ (* b (- 1 (/ (pow c 2) (pow d 2)))) (/ (* a c) d))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))))
#s(approx (neg (* b (pow (/ c d) 2))) #s(hole binary64 (* -1 (/ (* b (pow c 2)) (pow d 2)))))
#s(approx (* b (pow (/ c d) 2)) #s(hole binary64 (/ (* b (pow c 2)) (pow d 2))))
#s(approx b #s(hole binary64 b))
#s(approx (* d b) #s(hole binary64 (* b d)))
#s(approx (/ b c) #s(hole binary64 (/ b c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (* b (- 1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* b (- 1 (/ (pow c 2) (pow d 2))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* b (- (/ (* a c) (* b d)) (/ (pow c 2) (pow d 2))))))
#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) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b d))) (* -1 (/ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* a (/ c 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #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) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 b))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (+ b (/ (* a c) d))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))))
#s(approx (/ c d) #s(hole binary64 (/ c d)))
#s(approx c #s(hole binary64 c))
#s(approx (pow (/ c d) 2) #s(hole binary64 (/ (pow c 2) (pow d 2))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ c (* d d)) #s(hole binary64 (/ c (pow d 2))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (/ d c) #s(hole binary64 (/ d c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ a 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 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* -1 (/ (* b (pow c 2)) (pow d 3)))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* -1 (/ (* b (pow c 2)) (pow d 2)))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* (pow c 2) (- (+ (/ a (* c d)) (/ b (pow c 2))) (/ b (pow d 2))))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -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) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (* (pow c 2) (- (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)) (/ b (pow d 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) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (/ (- (* a (* c d)) (* b (pow c 2))) (pow d 2))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (/ (- (* d (+ (* a c) (* b d))) (* b (pow c 2))) (pow d 2))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (/ (- (* a (* c d)) (* b (pow c 2))) (pow d 2))))
#s(approx d #s(hole binary64 d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #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 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* (/ b c) (/ d 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 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -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 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) #s(hole binary64 (+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a (/ c d)) b) d) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (+ (* d b) (* c a)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) b)) d))
(/.f64 (fma.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)) (neg.f64 d) (*.f64 d (neg.f64 b))) (*.f64 d (neg.f64 d)))
(/.f64 (fma.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)) d (*.f64 d b)) (*.f64 d d))
(/.f64 (fma.f64 (neg.f64 b) d (*.f64 (neg.f64 d) (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)))) (*.f64 (neg.f64 d) d))
(/.f64 (fma.f64 d b (*.f64 d (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)))) (*.f64 d d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) b))) (neg.f64 d))
(/.f64 (fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) b)) d)
(+.f64 (/.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)) d))
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)) b))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)) #s(literal 2 binary64))) (-.f64 b (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)) b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)) #s(literal 2 binary64)) (*.f64 b (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a))))))
(fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) b))
(fma.f64 a (/.f64 c d) (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) b))
(+.f64 (+.f64 b (*.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) (*.f64 (/.f64 c d) a))
(+.f64 (*.f64 (/.f64 c d) a) (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) b))
(+.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)) b)
(+.f64 b (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (neg.f64 d) (*.f64 (*.f64 d d) (*.f64 (neg.f64 a) c))) (pow.f64 (neg.f64 d) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 b) (*.f64 c c)) d (*.f64 (*.f64 d d) (*.f64 c a))) (pow.f64 d #s(literal 3 binary64)))
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#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (/.f64 c d) d) #s(literal -1 binary64) (/.f64 (neg.f64 b) (*.f64 d a)))))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d a) c))))
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#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d a) c))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (*.f64 (/.f64 b a) (/.f64 d (*.f64 c c)))) (pow.f64 c #s(literal -1 binary64)))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (fma.f64 (-.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (*.f64 c c) (pow.f64 d #s(literal 3 binary64)))) b (*.f64 (/.f64 (/.f64 c d) d) a)))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c d) #s(literal 2 binary64))) b (*.f64 (/.f64 c d) a)))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 (/.f64 c d) a)))
#s(approx (neg (* b (pow (/ c d) 2))) (*.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64))))
#s(approx (* b (pow (/ c d) 2)) (*.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) b))
#s(approx b b)
#s(approx (* d b) (*.f64 d b))
#s(approx (/ b c) (/.f64 b c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 a b) (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 d (fma.f64 d d (*.f64 c c)))) b))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c d) #s(literal 2 binary64))) b) d))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (*.f64 (-.f64 (fma.f64 (/.f64 a b) (/.f64 (/.f64 c d) d) (pow.f64 d #s(literal -1 binary64))) (/.f64 (*.f64 c c) (pow.f64 d #s(literal 3 binary64)))) b))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c d) #s(literal 2 binary64))) b))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (*.f64 (-.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64))) b))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) (*.f64 (-.f64 (*.f64 (/.f64 a b) (/.f64 c d)) (pow.f64 (/.f64 c d) #s(literal 2 binary64))) b))
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#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (fma.f64 (/.f64 a b) (/.f64 (/.f64 c d) d) (pow.f64 d #s(literal -1 binary64))) b))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 a (/.f64 c b) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 a b) (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 d (fma.f64 d d (*.f64 c c)))) b))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 a (/.f64 c b) d) b))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 a (*.f64 b c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 d (fma.f64 d d (*.f64 c c)))))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) b) d))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 (/.f64 c d) d) (/.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) d)))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (*.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) b))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (*.f64 d b)) (fma.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) (*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (*.f64 d b)) (neg.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 d (fma.f64 d d (*.f64 c c)))))))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (*.f64 (*.f64 d d) b)) (pow.f64 d #s(literal -1 binary64)))))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c b) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 d (fma.f64 d d (*.f64 c c)))))))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c b) d))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 d (*.f64 c c)) #s(literal -1 binary64) (/.f64 (neg.f64 a) (*.f64 b c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 a (*.f64 d d))) c (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 d #s(literal 4 binary64))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (/.f64 b d))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (fma.f64 (fma.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 a (*.f64 d d))) c (/.f64 b d)))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) b)
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (fma.f64 (/.f64 c d) a b))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (fma.f64 (fma.f64 (*.f64 b (/.f64 (/.f64 c d) d)) #s(literal -1 binary64) (/.f64 a d)) c b))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) (*.f64 (fma.f64 (*.f64 b (/.f64 (/.f64 c d) d)) #s(literal -1 binary64) (/.f64 a d)) c))
#s(approx (/ c d) (/.f64 c d))
#s(approx c c)
#s(approx (pow (/ c d) 2) (pow.f64 (/.f64 c d) #s(literal 2 binary64)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 a (*.f64 d d))) c (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 d #s(literal 4 binary64))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)))
#s(approx (/ c (* d d)) (/.f64 (/.f64 c d) 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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 a (*.f64 d d))) c (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 d #s(literal 4 binary64))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)))
#s(approx (* c c) (*.f64 c c))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 c c)))
#s(approx (/ d c) (/.f64 d c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 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 (pow.f64 (/.f64 d c) #s(literal 3 binary64))))) a) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (pow.f64 d #s(literal 3 binary64))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (*.f64 (fma.f64 (/.f64 b (pow.f64 d #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 a (*.f64 (*.f64 d d) c))) (*.f64 c c)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (*.f64 (fma.f64 (/.f64 b (pow.f64 d #s(literal 3 binary64))) #s(literal -1 binary64) (+.f64 (/.f64 b (*.f64 (*.f64 c c) d)) (/.f64 a (*.f64 (*.f64 d d) c)))) (*.f64 c c)))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (*.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64))))
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#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (*.f64 (-.f64 (+.f64 (/.f64 b (*.f64 c c)) (/.f64 (/.f64 a c) d)) (/.f64 b (*.f64 d d))) (*.f64 c c)))
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#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 (pow.f64 (/.f64 d c) #s(literal 3 binary64))))) a) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (+.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 d d))) c))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.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 (pow.f64 (/.f64 d c) #s(literal 3 binary64))))) a) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) a))) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 b c) d) #s(literal -1 binary64) (/.f64 (neg.f64 a) (*.f64 d d))) c) #s(literal -1 binary64) (/.f64 (neg.f64 b) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c)))
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#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) a))) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b c) d) #s(literal -1 binary64) (/.f64 (neg.f64 a) (*.f64 d d)))))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) a))) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) 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))) (fma.f64 (fma.f64 (*.f64 a (/.f64 d (pow.f64 c #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (/.f64 (fma.f64 (neg.f64 b) (*.f64 c c) (*.f64 (*.f64 d c) a)) (pow.f64 d #s(literal 3 binary64))))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (/.f64 (fma.f64 (neg.f64 b) (*.f64 c c) (*.f64 (fma.f64 d b (*.f64 c a)) d)) (pow.f64 d #s(literal 3 binary64))))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (/.f64 (fma.f64 (neg.f64 b) (*.f64 c c) (*.f64 (*.f64 d c) a)) (*.f64 d d)))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (/.f64 (fma.f64 (neg.f64 b) (*.f64 c c) (*.f64 (fma.f64 d b (*.f64 c a)) d)) (*.f64 d d)))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) (/.f64 (fma.f64 (neg.f64 b) (*.f64 c c) (*.f64 (*.f64 d c) a)) (*.f64 d d)))
#s(approx d 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))) (fma.f64 (fma.f64 (*.f64 a (/.f64 d (pow.f64 c #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d)))
#s(approx (* d d) (*.f64 d 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))) (fma.f64 (fma.f64 (*.f64 a (/.f64 d (pow.f64 c #s(literal 3 binary64)))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)))
#s(approx (/ (+ (* 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 (fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) 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 (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (*.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) b)) d))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (/.f64 (fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) b)) d))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) b)))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) (/.f64 (fma.f64 c a (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) 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 (fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) 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 (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (*.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) b)) d))
#s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 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 (fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 b) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) 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 (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (*.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) b)) d))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (+.f64 (/.f64 b (*.f64 c c)) (/.f64 (/.f64 a c) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) d)) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) b))) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (/ (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) d) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) d)) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (fma.f64 (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 c c) b) d)) d) #s(literal -1 binary64) b))
#s(approx (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) (neg.f64 (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 c c) b) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) d)) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) b))) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a (/ c d)) b) d) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) d)) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 c a (neg.f64 (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) b))) d))) d) #s(literal -1 binary64) (neg.f64 b)) d)))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) a b))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (neg.f64 d) (fma.f64 (/.f64 b (*.f64 c c)) #s(literal -1 binary64) (/.f64 (neg.f64 a) (*.f64 d c)))))

eval36.0ms (1.1%)

Memory
21.2MiB live, 66.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 11 641 to 1 484 computations (87.3% saved)

prune39.0ms (1.3%)

Memory
-13.1MiB live, 33.4MiB allocated; 4ms collecting garbage
Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New3185323
Fresh369
Picked145
Done055
Total32220342
Accuracy
99.9%
Counts
342 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.1%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
35.3%
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 a (/.f64 c b) d) b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
19.6%
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
43.7%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
31.8%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
45.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
45.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
56.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (fma.f64 (fma.f64 (*.f64 b (/.f64 (/.f64 c d) d)) #s(literal -1 binary64) (/.f64 a d)) c b)) d))
21.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (*.f64 (/.f64 c d) a)) d))
40.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
17.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
58.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
29.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 #s(approx (+ (* (/ c b) a) d) (*.f64 (/.f64 c b) a)) b) (fma.f64 d d (*.f64 c c))))
54.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) b)) d))
50.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) b) d))
39.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (* (+ (* (/ c b) a) d) b) (*.f64 c a)) (fma.f64 d d (*.f64 c c))))
38.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
16.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
38.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
19.2%
#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 1 694 to 538 computations (68.2% saved)

regimes71.0ms (2.3%)

Memory
-19.3MiB live, 81.4MiB allocated; 19ms collecting garbage
Counts
38 → 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 d)) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (* (+ (* (/ c b) a) d) b) (*.f64 c a)) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (*.f64 (/.f64 c d) a)) d))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.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) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) #s(approx (+ (* d d) (* c c)) (*.f64 d d))))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 a (/.f64 c b) d) b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 #s(approx (+ (* (/ c b) a) d) (*.f64 (/.f64 c b) a)) b) (fma.f64 d d (*.f64 c c))))
#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)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) b)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 a (/.f64 c b) d) b)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (*.f64 d d) a) c))) c) #s(literal -1 binary64) (neg.f64 a)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (fma.f64 (fma.f64 (*.f64 b (/.f64 (/.f64 c d) d)) #s(literal -1 binary64) (/.f64 a d)) c b)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (+.f64 (fma.f64 (/.f64 c d) a (neg.f64 (*.f64 b (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) b) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (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:

28.0ms
c
12.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
9.0ms
d
9.0ms
b
9.0ms
a
Results
AccuracySegmentsBranch
78.3%2(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
68.3%3a
71.9%3b
88.2%5c
87.5%5d
Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes8.0ms (0.3%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Counts
27 → 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 d)) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (* (+ (* (/ c b) a) d) b) (*.f64 c a)) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (*.f64 (/.f64 c d) a)) d))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.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) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) #s(approx (+ (* d d) (* c c)) (*.f64 d d))))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 a (/.f64 c b) d) b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.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

1 calls:

7.0ms
c
Results
AccuracySegmentsBranch
88.2%5c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes16.0ms (0.5%)

Memory
-18.3MiB live, 26.0MiB allocated; 4ms collecting garbage
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #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 (/ (+ (* a (/ c d)) b) d) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (* (+ (* (/ c b) a) d) b) (*.f64 c a)) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (*.f64 (/.f64 c d) a)) d))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
Calls

2 calls:

9.0ms
d
6.0ms
c
Results
AccuracySegmentsBranch
80.4%3d
84.1%3c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes17.0ms (0.6%)

Memory
-5.6MiB live, 40.7MiB allocated; 2ms collecting garbage
Counts
18 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #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 (/ (+ (* a (/ c d)) b) d) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (* (+ (* (/ c b) a) d) b) (*.f64 c a)) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (*.f64 (/.f64 c d) a)) d))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

3 calls:

6.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
5.0ms
c
5.0ms
d
Results
AccuracySegmentsBranch
65.3%4(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
75.0%3d
81.4%4c
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes10.0ms (0.3%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Counts
17 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #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 (/ (+ (* a (/ c d)) b) d) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (* (+ (* (/ c b) a) d) b) (*.f64 c a)) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (*.f64 (/.f64 c d) a)) d))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

2 calls:

5.0ms
d
5.0ms
c
Results
AccuracySegmentsBranch
71.4%3d
73.9%4c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes5.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Counts
16 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (* (+ (* (/ c b) a) d) b) (*.f64 c a)) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (+ (* (/ c d) a) (neg (* b (pow (/ c d) 2)))) b) (*.f64 (/.f64 c d) a)) d))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

1 calls:

4.0ms
c
Results
AccuracySegmentsBranch
73.7%4c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes5.0ms (0.2%)

Memory
-48.6MiB live, 7.3MiB allocated; 3ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #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 (/ (+ (* a (/ c d)) b) d) (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 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

1 calls:

3.0ms
c
Results
AccuracySegmentsBranch
72.0%3c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes5.0ms (0.2%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

5 calls:

1.0ms
c
1.0ms
a
1.0ms
d
1.0ms
b
1.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
38.7%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
38.7%1a
38.7%1d
38.7%1b
38.7%1c
Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch56.0ms (1.8%)

Memory
9.1MiB live, 99.9MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.2328786766389952e+85
2.7688010024323055e+89
10.0ms
9.07058070723031e-146
2.3688139557324035e-144
15.0ms
-3.0003599634732695e-15
-1.5647478811802195e-30
11.0ms
-1.539417478451578e+113
-3.497394904286212e+110
Samples
31.0ms528×0valid
Compiler

Compiled 1 321 to 950 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult!: 9.0ms (61% of total)
ival-div!: 3.0ms (20.3% of total)
ival-add!: 2.0ms (13.6% of total)
adjust: 0.0ms (0% of total)

bsearch15.0ms (0.5%)

Memory
-18.0MiB live, 28.6MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2328786766389952e+85
2.7688010024323055e+89
1.0ms
9.07058070723031e-146
2.3688139557324035e-144
1.0ms
-3.0003599634732695e-15
-1.5647478811802195e-30
10.0ms
-6.348852886125755e+114
-1.539417478451578e+113
Samples
6.0ms112×0valid
Compiler

Compiled 1 266 to 914 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult!: 2.0ms (69.2% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch24.0ms (0.8%)

Memory
46.5MiB live, 46.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
2.86791980785546e-9
1.7742560682831637e-8
13.0ms
-1.0271537581928995e+65
-3.797438625484031e+58
Samples
12.0ms240×0valid
Compiler

Compiled 738 to 498 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 4.0ms (65.1% of total)
ival-add!: 1.0ms (16.3% of total)
ival-div!: 1.0ms (16.3% of total)
adjust: 0.0ms (0% of total)

bsearch35.0ms (1.1%)

Memory
-43.3MiB live, 51.5MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
8.862764917067206e+69
2.174792219733084e+73
1.0ms
2.86791980785546e-9
1.7742560682831637e-8
17.0ms
-1.0271537581928995e+65
-3.797438625484031e+58
Samples
19.0ms256×0valid
Compiler

Compiled 953 to 678 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult!: 4.0ms (61.5% of total)
ival-add!: 1.0ms (15.4% of total)
ival-div!: 1.0ms (15.4% of total)
adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.862764917067206e+69
2.174792219733084e+73
0.0ms
2.86791980785546e-9
1.7742560682831637e-8
1.0ms
-1.0271537581928995e+65
-3.797438625484031e+58
Compiler

Compiled 878 to 648 computations (26.2% saved)

bsearch32.0ms (1%)

Memory
13.8MiB live, 59.7MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.5320639876612351e+165
3.5922135068771975e+170
12.0ms
1.763926681923473e-132
2.404129711898637e-124
1.0ms
-1.0271537581928995e+65
-3.797438625484031e+58
Samples
15.0ms288×0valid
Compiler

Compiled 1 170 to 828 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult!: 5.0ms (68% of total)
ival-add!: 1.0ms (13.6% of total)
ival-div!: 1.0ms (13.6% of total)
adjust: 0.0ms (0% of total)

bsearch17.0ms (0.6%)

Memory
-17.0MiB live, 29.1MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
3984.614387802575
23377120833.18164
1.0ms
-1.0271537581928995e+65
-3.797438625484031e+58
Samples
7.0ms144×0valid
Compiler

Compiled 702 to 522 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 2.0ms (55% of total)
ival-add!: 1.0ms (27.5% of total)
ival-div!: 1.0ms (27.5% of total)
adjust: 0.0ms (0% of total)

derivations195.0ms (6.2%)

Memory
-7.9MiB live, 240.6MiB allocated; 24ms collecting garbage
Stop Event
fuel
Compiler

Compiled 676 to 83 computations (87.7% saved)

preprocess47.0ms (1.5%)

Memory
15.6MiB live, 109.9MiB allocated; 6ms collecting garbage
Compiler

Compiled 727 to 114 computations (84.3% saved)

end0.0ms (0%)

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

Profiling

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