Complex division, real part

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze33.0ms (1%)

Memory
3.5MiB live, 47.0MiB allocated; 10ms 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)

sample1.1s (33.2%)

Memory
33.7MiB live, 1 337.2MiB allocated; 297ms collecting garbage
Samples
770.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 529.0ms
ival-mult: 356.0ms (67.3% of total)
ival-add: 108.0ms (20.4% of total)
ival-div: 59.0ms (11.2% of total)
adjust: 3.0ms (0.6% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain130.0ms (4%)

Memory
-24.8MiB live, 167.5MiB allocated; 12ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
940-1(-5.05022175780886e-7 -7.970091356003103e+154 -3.1433813813079306e-156 2.905269971872551e-271)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
10-0-(+.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/o460
(+.f64 (*.f64 a c) (*.f64 b d))overflow57
(*.f64 a c)overflow35
(*.f64 b d)overflow27
(+.f64 (*.f64 c c) (*.f64 d d))overflow114
(*.f64 c c)overflow71
(*.f64 d d)overflow64
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o320
(+.f64 (*.f64 c c) (*.f64 d d))overflow114
(*.f64 c c)overflow71
(*.f64 d d)overflow64
/.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))overflow57
(*.f64 a c)overflow35
(*.f64 b d)overflow27
/.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))underflow10
(*.f64 c c)underflow44
(*.f64 d d)underflow60
+.f64(+.f64 (*.f64 a c) (*.f64 b d))nan-rescue10
(*.f64 a c)overflow35
(*.f64 b d)overflow27
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/n10
(+.f64 (*.f64 a c) (*.f64 b d))underflow1
(*.f64 a c)underflow26
(*.f64 b d)underflow32
Confusion
Predicted +Predicted -
+931
-0162
Precision
1.0
Recall
0.9893617021276596
Confusion?
Predicted +Predicted MaybePredicted -
+9301
-00162
Precision?
1.0
Recall?
0.9893617021276596
Freqs
test
numberfreq
0163
192
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
39.0ms512×0valid
Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 13.0ms (62.7% of total)
ival-add: 4.0ms (19.3% of total)
ival-div: 3.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess33.0ms (1%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062229
1204225
2491225
3900225
41528225
51875225
01115
01815
13815
210015
319815
431015
543515
644115
044113
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.4%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

series19.0ms (0.6%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Counts
11 → 51
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* a c) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (* b d) #s(hole binary64 (* b d)))
#s(approx b #s(hole binary64 b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (* c c) #s(hole binary64 (pow c 2)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* c (+ a (/ (* b d) c)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx d #s(hole binary64 d))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
Calls

12 calls:

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

rewrite196.0ms (6%)

Memory
15.8MiB live, 193.8MiB allocated; 36ms 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))))
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a
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 (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)) (*.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))))

eval18.0ms (0.6%)

Memory
-11.0MiB live, 36.2MiB allocated; 2ms collecting garbage
Compiler

Compiled 4 262 to 611 computations (85.7% saved)

prune11.0ms (0.3%)

Memory
-21.7MiB live, 25.7MiB allocated; 1ms collecting garbage
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New15613169
Fresh000
Picked101
Done000
Total15713170
Accuracy
100.0%
Counts
170 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.4%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
33.8%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
41.1%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
50.7%
#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)))
58.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)))
47.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
60.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
48.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
35.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
46.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
40.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
47.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
40.3%
#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)))
Compiler

Compiled 626 to 402 computations (35.8% saved)

series39.0ms (1.2%)

Memory
-9.3MiB live, 62.8MiB allocated; 15ms collecting garbage
Counts
23 → 106
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
#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 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (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)
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) #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) (* 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 (+ (* (/ 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)) (+ (* 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 c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (* b d) #s(hole binary64 (* b d)))
#s(approx b #s(hole binary64 b))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ b c) #s(hole binary64 (/ b c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #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)) (+ (* 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 (+ (* (/ 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)) (+ (* 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 (* 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 (+ (* (/ 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)) (+ (* 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 (* 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 (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (+ (* a c) (* b d)) #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)) (+ (* 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 (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (+ (* a c) (* 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 (* 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 (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 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)))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
Calls

12 calls:

TimeVariablePointExpression
9.0ms
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)) (* d d) (/ (+ (* 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))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c) (/ d c))
5.0ms
d
@0
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* a c) a c (* b d) b d (+ (* c c) (* d d)) (* d d) (/ (+ (* 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))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c) (/ d c))
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)) (* d d) (/ (+ (* 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))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c) (/ d c))
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)) (* d d) (/ (+ (* 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))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c) (/ d c))
3.0ms
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)) (* d d) (/ (+ (* 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))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ b c) (/ d c)) (/ a c)) (/ b c) (/ d c))

rewrite238.0ms (7.3%)

Memory
1.6MiB live, 274.1MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05162972
05352817
130172813
087782699
Stop Event
iter limit
node limit
iter limit
Counts
129 → 261
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
#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 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (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)
#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) #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) (* 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 (+ (* (/ 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)) (+ (* 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 c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (* b d) #s(hole binary64 (* b d)))
#s(approx b #s(hole binary64 b))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ b c) #s(hole binary64 (/ b c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (+ (* a c) (* b d)) #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)) (+ (* 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 (+ (* (/ 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)) (+ (* 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 (* 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 (+ (* (/ 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)) (+ (* 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 (* 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 (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (+ (* a c) (* b d)) #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)) (+ (* 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 (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (+ (* a c) (* 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 (* 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 (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 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)))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
Outputs
(/.f64 (fma.f64 (neg.f64 (*.f64 d b)) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 c a)))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 d b)) (fma.f64 d d (*.f64 c c)) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 c a))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (*.f64 d b) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (*.f64 c a)))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 c a)) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 d b)))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 c a)) (fma.f64 d d (*.f64 c c)) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 d b))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (*.f64 c a) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (*.f64 d b)))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (fma.f64 d d (*.f64 c c))))
(/.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 c a) (*.f64 d b)) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d b))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
(+.f64 (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(+.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (*.f64 c a) (*.f64 d b)))
(/.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (*.f64 d b)))))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 a c (*.f64 d b))
(-.f64 (*.f64 c a) (*.f64 (neg.f64 b) d))
(+.f64 (*.f64 d b) (*.f64 c a))
(+.f64 (*.f64 c a) (*.f64 d b))
(*.f64 c a)
(*.f64 a c)
a
c
(*.f64 d b)
(*.f64 b d)
b
d
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#s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c c)) #s(literal -1 binary64) d) (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) d) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c c))) (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))) #s(literal -1 binary64) d) (neg.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c c))) (*.f64 c c)))
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c)))
#s(approx (+ (* (/ b 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 (+ (* a c) (* b d)) (*.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 d d)
#s(approx (* d d) (*.f64 d d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (*.f64 b (pow.f64 (/.f64 d (*.f64 c c)) #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 6 binary64))) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64))))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (pow.f64 (/.f64 d (*.f64 c c)) #s(literal 2 binary64)) #s(literal -1 binary64) (pow.f64 c #s(literal -2 binary64))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 6 binary64))) (pow.f64 c #s(literal -4 binary64))) (*.f64 d d) (pow.f64 c #s(literal -2 binary64))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 8 binary64))) #s(literal -1 binary64) (pow.f64 c #s(literal -6 binary64))) (*.f64 d d)) (pow.f64 c #s(literal -4 binary64))) (*.f64 d d) (pow.f64 c #s(literal -2 binary64))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 a (/.f64 c d) (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 d d))) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 a (/.f64 c d) (neg.f64 (*.f64 a (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d)) #s(literal -1 binary64) b) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 b (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) b) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 6 binary64)) b) (pow.f64 d #s(literal 6 binary64))) #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 (/ d (+ (* d d) (* c c))) (/.f64 (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))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 c c) (*.f64 d d))) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 c c) (*.f64 d d)))) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) 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))))
#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 (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (neg.f64 d) (fma.f64 (/.f64 (/.f64 a c) d) #s(literal -1 binary64) (/.f64 (neg.f64 b) (*.f64 c c)))))

eval34.0ms (1.1%)

Memory
31.4MiB live, 75.8MiB allocated; 5ms collecting garbage
Compiler

Compiled 8 947 to 1 082 computations (87.9% saved)

prune20.0ms (0.6%)

Memory
-14.8MiB live, 35.0MiB allocated; 10ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New3147321
Fresh268
Picked325
Done000
Total31915334
Accuracy
100.0%
Counts
334 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.1%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
23.4%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
42.9%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
30.2%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
47.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
60.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
48.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
35.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
46.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
40.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
23.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
47.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
40.3%
#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)))
24.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
47.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d)))
Compiler

Compiled 737 to 459 computations (37.7% saved)

series34.0ms (1.1%)

Memory
23.7MiB live, 66.3MiB allocated; 7ms collecting garbage
Counts
24 → 89
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d c) a)
b
(/.f64 d c)
d
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 c a))
(*.f64 c a)
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(/.f64 a d)
(/.f64 c 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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ b d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ a d) #s(hole binary64 (/ a d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 a))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx b #s(hole binary64 b))
#s(approx (/ b d) #s(hole binary64 (/ b d)))
#s(approx (* d b) #s(hole binary64 (* b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (/ d c) #s(hole binary64 (/ d c)))
#s(approx c #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 (/ c d) #s(hole binary64 (/ c 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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ a (/ (* b d) c)) 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 d) (/ c d)) (/ b d)) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx d #s(hole binary64 d))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
Calls

12 calls:

TimeVariablePointExpression
6.0ms
b
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) b (/ d c) d c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ a d) (/ c d))
4.0ms
d
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) b (/ d c) d c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ a d) (/ c d))
3.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) b (/ d c) d c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ a d) (/ c d))
3.0ms
a
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) b (/ d c) d c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ a d) (/ c d))
2.0ms
b
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) b (/ d c) d c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* c a) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ a d) (/ c d))

rewrite310.0ms (9.5%)

Memory
-34.2MiB live, 360.3MiB allocated; 151ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03882211
04022086
121412046
096601946
Stop Event
iter limit
node limit
iter limit
Counts
113 → 272
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d c) a)
b
(/.f64 d c)
d
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 c a))
(*.f64 c a)
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(/.f64 a d)
(/.f64 c 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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (* c a) #s(hole binary64 (* a c)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ b d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ a d) #s(hole binary64 (/ a d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* a c) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 a))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#s(approx b #s(hole binary64 b))
#s(approx (/ b d) #s(hole binary64 (/ b d)))
#s(approx (* d b) #s(hole binary64 (* b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (/ d c) #s(hole binary64 (/ d c)))
#s(approx c #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 (/ c d) #s(hole binary64 (/ c 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 (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (/ (+ a (/ (* b d) c)) 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 d) (/ c d)) (/ b d)) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))))
#s(approx d #s(hole binary64 d))
#s(approx (* d d) #s(hole binary64 (pow d 2)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* d (+ b (/ (* a c) d)))))
#s(approx (+ (* c c) (* d d)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* b (/ d c)) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (/ d c)) a) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 d c) b) c) #s(literal 3 binary64)) (pow.f64 (/.f64 a c) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 d c) b) c) (/.f64 (*.f64 (/.f64 d c) b) c) (-.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 d c) b) c) (/.f64 a c)))))
(/.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 d c) b) c) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 d c) b) c) (/.f64 (*.f64 (/.f64 d c) b) c)) (*.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 d c) b a))) (neg.f64 (neg.f64 c)))
(/.f64 (fma.f64 (*.f64 (/.f64 d c) b) (neg.f64 c) (*.f64 c (neg.f64 a))) (*.f64 c (neg.f64 c)))
(/.f64 (fma.f64 (*.f64 (/.f64 d c) b) c (*.f64 c a)) (*.f64 c c))
(/.f64 (fma.f64 (neg.f64 a) c (*.f64 (neg.f64 c) (*.f64 (/.f64 d c) b))) (*.f64 (neg.f64 c) c))
(/.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) (neg.f64 c))
(/.f64 (*.f64 (fma.f64 (/.f64 d c) b a) c) (*.f64 c c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 (/.f64 d c) b) c))
(fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 d c) b) c))
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c))
(fma.f64 (/.f64 a c) #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 d c) b) c))
(+.f64 (/.f64 (*.f64 (/.f64 d c) b) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (*.f64 (/.f64 d c) b) c))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (-.f64 (*.f64 (/.f64 d c) b) a)))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (*.f64 (/.f64 d c) b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (/.f64 d c) b) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a (*.f64 (/.f64 d c) b))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (-.f64 (*.f64 (/.f64 d c) b) a))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) (-.f64 a (*.f64 (/.f64 d c) b)))
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#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a))
#s(approx (/ (+ (* b (/ d c)) a) c) (/.f64 a c))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (fma.f64 (/.f64 d a) (/.f64 b (*.f64 c c)) (pow.f64 c #s(literal -1 binary64))) a))
#s(approx (+ (* b (/ d c)) a) a)
#s(approx (+ (* b (/ d c)) a) (*.f64 (fma.f64 (/.f64 d a) (/.f64 b c) #s(literal 1 binary64)) a))
#s(approx (+ (* a c) (* b d)) (*.f64 c a))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 b (/.f64 d a) c) a))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 c d) (/.f64 a d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 b (*.f64 d a))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))))))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (*.f64 (/.f64 d a) (/.f64 b (*.f64 c c)))) (pow.f64 c #s(literal -1 binary64)))))
#s(approx (+ (* b (/ d c)) a) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (*.f64 (/.f64 d a) (/.f64 b c))) #s(literal 1 binary64))))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d a) c))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b d) (/.f64 (neg.f64 c) (*.f64 d d)))))
#s(approx b b)
#s(approx (/ b d) (/.f64 b d))
#s(approx (* d b) (*.f64 d b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (fma.f64 a (/.f64 c b) d) (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 a (*.f64 b c))) b))
#s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 a b) (/.f64 d c)) b))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 a (/.f64 c b) d) b))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (fma.f64 (/.f64 c b) (/.f64 a (*.f64 d d)) (pow.f64 d #s(literal -1 binary64))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (/.f64 c b) d) (fma.f64 d d (*.f64 c c))))))
#s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a b) (/.f64 (neg.f64 d) (*.f64 c c)))))
#s(approx (+ (* b (/ d c)) a) (*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 a) b) (/.f64 d c))))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 b) (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c b) d))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (*.f64 (/.f64 c b) (/.f64 a (*.f64 d d)))) (pow.f64 d #s(literal -1 binary64)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c 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 (neg.f64 (*.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)))
#s(approx (/ (+ (* b (/ d c)) a) c) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 c c)))
#s(approx (+ (* b (/ d c)) a) (/.f64 (fma.f64 d b (*.f64 c a)) c))
#s(approx (/ d c) (/.f64 d c))
#s(approx c c)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
#s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))
#s(approx (* c c) (*.f64 c c))
#s(approx (/ c d) (/.f64 c d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (/.f64 d c) b (neg.f64 (*.f64 a (pow.f64 (/.f64 d c) #s(literal 2 binary64))))) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 d c) b (neg.f64 (*.f64 b (pow.f64 (/.f64 d c) #s(literal 3 binary64))))) a) (*.f64 a (pow.f64 (/.f64 d c) #s(literal 2 binary64)))) c))
#s(approx (/ (+ (* b (/ d c)) a) c) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (+ (* c c) (* d d)) (*.f64 (+.f64 (pow.f64 (/.f64 d c) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 c c)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (+.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 d d))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) b 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 (/ (+ (* b (/ d c)) a) c) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) b a)) c)))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) b a))))
#s(approx (+ (* (/ a d) (/ 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) (* 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 d) (/ 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 (fma.f64 (/.f64 a d) c 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 a (/.f64 c 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 (/ (+ (* b (/ d c)) a) c) (*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d))
#s(approx (+ (* b (/ d c)) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (+ (* c c) (* d d)) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (fma.f64 (/.f64 a d) c b) 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 (/ (+ (* b (/ d c)) a) c) (*.f64 (neg.f64 d) (fma.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 a c) (/.f64 (neg.f64 b) (*.f64 c c)))))
#s(approx (+ (* b (/ d c)) a) (*.f64 (neg.f64 d) (-.f64 (/.f64 (neg.f64 a) d) (/.f64 b c))))
#s(approx (+ (* a c) (* b d)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c d) b))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c d) b)) d)))

eval36.0ms (1.1%)

Memory
13.7MiB live, 104.5MiB allocated; 6ms collecting garbage
Compiler

Compiled 9 236 to 1 068 computations (88.4% saved)

prune18.0ms (0.5%)

Memory
-16.1MiB live, 41.7MiB allocated; 5ms collecting garbage
Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New3037310
Fresh448
Picked145
Done022
Total30817325
Accuracy
100.0%
Counts
325 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.1%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
24.8%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
23.4%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
42.9%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
30.2%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
48.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
60.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
60.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) a) c))
25.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
35.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
46.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
40.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
23.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
47.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
24.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (/.f64 b c) (/.f64 d c))))
33.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
23.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 c d) (/.f64 a d))))
Compiler

Compiled 753 to 466 computations (38.1% saved)

series48.0ms (1.5%)

Memory
11.9MiB live, 105.1MiB allocated; 5ms collecting garbage
Counts
30 → 187
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) a) c))
(/.f64 (fma.f64 b (*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) a) c)
(fma.f64 b (*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) a)
b
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(/.f64 d #s(literal -1 binary64))
d
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) c)
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))
(/.f64 d (*.f64 c c))
(*.f64 c c)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (+ (* (/ a d) (/ 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)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))
(/.f64 c (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ b d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#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 (+ (* d d) (* c c)))) #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)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 a))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#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)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#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 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)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#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)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#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)) (+ (* 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 (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (* (/ d -1) (/ -1 c)) #s(hole binary64 (/ d c)))
#s(approx (/ -1 c) #s(hole binary64 (/ -1 c)))
#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 (* c c)) #s(hole binary64 (/ d (pow c 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 (+ (* d d) (* c c)))) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ c (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (/ (+ (* 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 (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (+ (* 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 d) (/ c d)) (/ b d)) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#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 (+ (* d d) (* c c)))) #s(hole binary64 (/ a c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ 1 c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* 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 (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#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 (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))))
#s(approx (/ (+ (* 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 -1) #s(hole binary64 (* -1 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 d) (/ c d)) (/ b d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)))
#s(approx (+ (* 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 d) (/ 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 (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (+ (* (/ a d) (/ 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)))))))
Calls

12 calls:

TimeVariablePointExpression
9.0ms
d
@0
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (+ (* b (* (/ d -1) (/ -1 c))) a) b (* (/ d -1) (/ -1 c)) (/ d -1) d -1 (/ -1 c) c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (/ d (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)))
5.0ms
b
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (+ (* b (* (/ d -1) (/ -1 c))) a) b (* (/ d -1) (/ -1 c)) (/ d -1) d -1 (/ -1 c) c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (/ d (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)))
4.0ms
d
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (+ (* b (* (/ d -1) (/ -1 c))) a) b (* (/ d -1) (/ -1 c)) (/ d -1) d -1 (/ -1 c) c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (/ d (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)))
4.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (+ (* b (* (/ d -1) (/ -1 c))) a) b (* (/ d -1) (/ -1 c)) (/ d -1) d -1 (/ -1 c) c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (/ d (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)))
4.0ms
c
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (+ (* b (* (/ d -1) (/ -1 c))) a) b (* (/ d -1) (/ -1 c)) (/ d -1) d -1 (/ -1 c) c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* b (/ d (+ (* d d) (* c c)))) (/ d (+ (* d d) (* c c))) (/ d (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (* d d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ a d) (/ c d)) (/ b d)) (/ (+ (* d b) (* c a)) (* d d)) (+ (* d b) (* c a)) (* c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a (/ c (+ (* d d) (* c c)))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)))

rewrite200.0ms (6.1%)

Memory
20.3MiB live, 156.2MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08245291
08514816
147774812
083264719
Stop Event
iter limit
node limit
iter limit
Counts
217 → 305
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) a) c))
(/.f64 (fma.f64 b (*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) a) c)
(fma.f64 b (*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) a)
b
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(/.f64 d #s(literal -1 binary64))
d
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) c)
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))
(/.f64 d (*.f64 c c))
(*.f64 c c)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
#s(approx (+ (* (/ a d) (/ 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)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))
(/.f64 c (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (* b d) (+ (pow c 2) (pow d 2)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (+ (/ a c) (/ (* b d) (pow c 2)))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (/ (* b d) c)))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (+ a (/ (* b d) c))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b d)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (+ (* a c) (* b d))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ b d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (+ (/ b d) (/ (* a c) (pow d 2)))))
#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 (+ (* d d) (* c c)))) #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)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (/ a c)))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 a))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (* a (+ 1 (/ (* b d) (* a c))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a c)))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* a (+ c (/ (* b d) a)))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* a (+ (/ b (* a d)) (/ c (pow d 2))))))
#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)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))))
#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 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)) (+ (* c c) (* d d))) #s(hole binary64 (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* b (+ (/ a (* b c)) (/ d (pow c 2))))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (* b (+ (/ a b) (/ d c)))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* b (+ d (/ (* a c) b)))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))))
#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)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))))
#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)) (+ (* 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 (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow c 2))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (/ (+ (* a c) (* b d)) c)))
#s(approx (* (/ d -1) (/ -1 c)) #s(hole binary64 (/ d c)))
#s(approx (/ -1 c) #s(hole binary64 (/ -1 c)))
#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 (* c c)) #s(hole binary64 (/ d (pow c 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 (+ (* d d) (* c c)))) #s(hole binary64 (/ (* a c) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ c (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow d 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (+ (pow c 2) (pow d 2))))
#s(approx (/ (+ (* 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 (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (/ (+ a (/ (* b d) c)) c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (* b d) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ d (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))))
#s(approx (+ (* 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 d) (/ c d)) (/ b d)) #s(hole binary64 (* c (+ (/ a (pow d 2)) (/ b (* c d))))))
#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 (+ (* d d) (* c c)))) #s(hole binary64 (/ a c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ 1 c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (pow c 2)))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))))
#s(approx (/ (+ (* 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 (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) #s(hole binary64 (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))))
#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 (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))))
#s(approx (/ (+ (* 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 -1) #s(hole binary64 (* -1 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 d) (/ c d)) (/ b d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) #s(hole binary64 (/ (+ (* a c) (* b d)) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (/ (* a c) d)) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* d (+ (/ a (* c d)) (/ b (pow c 2))))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (* d (+ (/ a d) (/ b c)))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)))
#s(approx (+ (* 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 d) (/ 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 (+ (* d d) (* c c)))) #s(hole binary64 (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) #s(hole binary64 (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))))
#s(approx (/ c (+ (* d d) (* c c))) #s(hole binary64 (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))))
#s(approx (+ (* d d) (* c c)) #s(hole binary64 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) #s(hole binary64 (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) #s(hole binary64 (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))))
#s(approx (/ d (+ (* d d) (* c c))) #s(hole binary64 (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))))
#s(approx (+ (* a c) (* b d)) #s(hole binary64 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))))
#s(approx (+ (* (/ a d) (/ 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)))))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) (neg.f64 c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(+.f64 (/.f64 (/.f64 (*.f64 d b) c) c) (/.f64 a c))
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 d b) c) c))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (/.f64 (*.f64 d b) c) #s(literal 2 binary64))) (-.f64 a (/.f64 (*.f64 d b) c)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 d b) c) #s(literal 2 binary64)) (*.f64 a a)) (-.f64 (/.f64 (*.f64 d b) c) a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d b) c) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (pow.f64 (/.f64 (*.f64 d b) c) #s(literal 2 binary64)) (*.f64 a (/.f64 (*.f64 d b) c)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 d b) c) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 d b) c) #s(literal 2 binary64)) (-.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 d b) c) a))))
(fma.f64 (*.f64 b (/.f64 d #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) c) a)
(fma.f64 (/.f64 d c) b a)
(fma.f64 b (/.f64 d c) a)
(+.f64 (/.f64 (*.f64 d b) c) a)
(+.f64 a (/.f64 (*.f64 d b) c))
b
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 d #s(literal -1 binary64)))
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(/.f64 (*.f64 d (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 d #s(literal -1 binary64)) #s(literal -1 binary64)) c)
(/.f64 (neg.f64 d) (neg.f64 c))
(/.f64 d c)
(/.f64 (neg.f64 d) #s(literal 1 binary64))
(/.f64 d #s(literal -1 binary64))
d
#s(literal -1 binary64)
(pow.f64 (neg.f64 c) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 c))
(/.f64 #s(literal -1 binary64) c)
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b))
(*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b)
(*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))
(/.f64 (neg.f64 d) (neg.f64 (*.f64 c c)))
(/.f64 (/.f64 d c) c)
(/.f64 d (*.f64 c c))
(*.f64 (fabs.f64 (fabs.f64 c)) (fabs.f64 (fabs.f64 c)))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 (fabs.f64 c) (fabs.f64 c))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (neg.f64 c) #s(literal 2 binary64))
(pow.f64 (fabs.f64 c) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(fabs.f64 (*.f64 c c))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))))
(/.f64 (neg.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (+ (* d b) (* c a)) (*.f64 d b))
(*.f64 d b)
(*.f64 b d)
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(*.f64 (fabs.f64 (fabs.f64 d)) (fabs.f64 (fabs.f64 d)))
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)))
(*.f64 (neg.f64 d) (neg.f64 d))
(*.f64 (fabs.f64 d) (fabs.f64 d))
(*.f64 d d)
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64))
(pow.f64 (neg.f64 d) #s(literal 2 binary64))
(pow.f64 (fabs.f64 d) #s(literal 2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1 binary64))
(pow.f64 d #s(literal 2 binary64))
(fabs.f64 (*.f64 d d))
(exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 d) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 d) #s(literal 2 binary64))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d) d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d) d))
(/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d) d)
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 (*.f64 d b) (*.f64 d d)))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 (*.f64 d b) (*.f64 d d)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 (*.f64 d b) (*.f64 d d)))
(+.f64 (/.f64 (*.f64 d b) (*.f64 d d)) (*.f64 (/.f64 c d) (/.f64 a d)))
(+.f64 (*.f64 (/.f64 c d) (/.f64 a d)) (/.f64 (*.f64 d b) (*.f64 d d)))
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.f64 (*.f64 d b) (*.f64 c a)))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (*.f64 c a) (*.f64 d b)))
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (*.f64 c a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (*.f64 d b)))))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 c a))
(fma.f64 c a (*.f64 d b))
(fma.f64 a c (*.f64 d b))
(-.f64 (*.f64 d b) (*.f64 (neg.f64 c) a))
(-.f64 (*.f64 c a) (*.f64 (neg.f64 b) d))
(+.f64 (*.f64 d b) (*.f64 c a))
(+.f64 (*.f64 c a) (*.f64 d b))
(*.f64 c a)
(*.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))
(/.f64 (neg.f64 c) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 c (fma.f64 d d (*.f64 c c)))
(/.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (-.f64 (*.f64 d d) (*.f64 c c)))
(/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (-.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (+.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (+.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))))
(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 d) (neg.f64 d) (*.f64 c c))
(fma.f64 (neg.f64 c) (neg.f64 c) (*.f64 d d))
(fma.f64 (fabs.f64 d) (fabs.f64 d) (*.f64 c c))
(fma.f64 (fabs.f64 c) (fabs.f64 c) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(-.f64 (*.f64 d d) (*.f64 (neg.f64 c) c))
(-.f64 (*.f64 c c) (*.f64 (neg.f64 d) d))
(+.f64 (*.f64 d d) (*.f64 c c))
(+.f64 (*.f64 c c) (*.f64 d d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (*.f64 b (/.f64 d (*.f64 c c))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) (/.f64 (*.f64 d b) c))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) (fma.f64 (/.f64 d c) b a))
#s(approx a a)
#s(approx (+ (* d b) (* c a)) (*.f64 d b))
#s(approx (+ (* d b) (* c a)) (fma.f64 d b (*.f64 c a)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 b d))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (+ (* d b) (* c a)) (*.f64 d b))
#s(approx (+ (* d b) (* c a)) (fma.f64 d b (*.f64 c a)))
#s(approx (* c a) (*.f64 c a))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 c (fma.f64 d d (*.f64 c c)))) a))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (/.f64 a c))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (*.f64 (fma.f64 (/.f64 b a) (/.f64 d (*.f64 c c)) (pow.f64 c #s(literal -1 binary64))) a))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) a)
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) (*.f64 (fma.f64 (/.f64 b a) (/.f64 d c) #s(literal 1 binary64)) a))
#s(approx (+ (* d b) (* c a)) (*.f64 c a))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 b (/.f64 d a) c) a))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 c d) (/.f64 a d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 b (*.f64 d a))) a))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (*.f64 (/.f64 c d) (/.f64 a d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 b (*.f64 d a))) a))
#s(approx (+ (* d b) (* c a)) (*.f64 c a))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 b (/.f64 d a) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 c (fma.f64 d d (*.f64 c c)))))))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 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 (+ (* b (* (/ d -1) (/ -1 c))) a) (*.f64 (neg.f64 a) (-.f64 (neg.f64 (*.f64 (/.f64 b a) (/.f64 d c))) #s(literal 1 binary64))))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 a) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d a) c))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (neg.f64 a) (fma.f64 (/.f64 c (*.f64 d d)) #s(literal -1 binary64) (/.f64 (neg.f64 b) (*.f64 d a)))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (*.f64 (neg.f64 a) (fma.f64 (/.f64 c (*.f64 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))))
#s(approx b b)
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
#s(approx (* d b) (*.f64 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 (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 a (*.f64 b c))) b))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) (*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 a (/.f64 c b) d) b))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 c (*.f64 d d)) (pow.f64 d #s(literal -1 binary64))) b))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 c (*.f64 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 (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 (/ (+ (* b (* (/ d -1) (/ -1 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 (+ (* b (* (/ d -1) (/ -1 c))) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 d c) #s(literal -1 binary64) (/.f64 (neg.f64 a) b))))
#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 d) (/ c d)) (/ b d)) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (*.f64 (/.f64 a b) (/.f64 c (*.f64 d d)))) (pow.f64 d #s(literal -1 binary64)))))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (*.f64 (neg.f64 b) (-.f64 (neg.f64 (*.f64 (/.f64 a b) (/.f64 c (*.f64 d d)))) (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 b 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))) (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 (neg.f64 (*.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 c c)))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) (/.f64 (fma.f64 d b (*.f64 c a)) c))
#s(approx (* (/ d -1) (/ -1 c)) (/.f64 d c))
#s(approx (/ -1 c) (/.f64 #s(literal -1 binary64) c))
#s(approx c c)
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 b d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) b) (pow.f64 d #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) b) (pow.f64 d #s(literal 5 binary64))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 c c) b) (pow.f64 d #s(literal 7 binary64))) (/.f64 b (pow.f64 d #s(literal 5 binary64))))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d)))
#s(approx (/ d (+ (* d d) (* c c))) (pow.f64 d #s(literal -1 binary64)))
#s(approx (/ d (+ (* d d) (* c c))) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 d #s(literal -1 binary64))))
#s(approx (/ d (+ (* d d) (* c c))) (fma.f64 (-.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 5 binary64))) (pow.f64 d #s(literal -3 binary64))) (*.f64 c c) (pow.f64 d #s(literal -1 binary64))))
#s(approx (/ d (+ (* d d) (* c c))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 7 binary64))) #s(literal -1 binary64) (pow.f64 d #s(literal -5 binary64))) (*.f64 c c)) (pow.f64 d #s(literal -3 binary64))) (*.f64 c c) (pow.f64 d #s(literal -1 binary64))))
#s(approx (/ d (* c c)) (/.f64 d (*.f64 c c)))
#s(approx (* c c) (*.f64 c c))
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
#s(approx (+ (* d d) (* c c)) (fma.f64 d d (*.f64 c c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (*.f64 (/.f64 c d) (/.f64 a d)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 a (*.f64 d d))) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 d #s(literal 6 binary64))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 a (*.f64 d d))) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64))))) (*.f64 c c)) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 a (*.f64 d d))) c))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))
#s(approx (/ c (+ (* d d) (* c c))) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 d #s(literal -2 binary64))) c))
#s(approx (/ c (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 6 binary64))) (pow.f64 d #s(literal -4 binary64))) (*.f64 c c) (pow.f64 d #s(literal -2 binary64))) c))
#s(approx (/ c (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 8 binary64))) #s(literal -1 binary64) (pow.f64 d #s(literal -6 binary64))) (*.f64 c c)) (pow.f64 d #s(literal -4 binary64))) (*.f64 c c) (pow.f64 d #s(literal -2 binary64))) c))
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
#s(approx (+ (* d d) (* c c)) (fma.f64 d d (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 (/.f64 d c) b (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (*.f64 c c))) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 d c) b (neg.f64 (*.f64 b (pow.f64 (/.f64 d c) #s(literal 3 binary64))))) a) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 b (/.f64 d (*.f64 c c))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) (*.f64 c c)))) (*.f64 c c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 d b (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) b) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) (*.f64 c c))) (*.f64 c c)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 d b (neg.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 7 binary64)) b) (pow.f64 c #s(literal 6 binary64))))) (fma.f64 b (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c c)) (neg.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) b) (pow.f64 c #s(literal 4 binary64)))))) (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c c)) #s(literal -1 binary64) d) (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) d) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c c))) (*.f64 c c)))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))) #s(literal -1 binary64) d) (neg.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c c))) (*.f64 c c)))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (+.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 d d))) c))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (*.f64 (+.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 d d))) c))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 a c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c)) #s(literal -1 binary64) a) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 a (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) a) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) a) (pow.f64 c #s(literal 6 binary64))) #s(literal -1 binary64) a) (fma.f64 a (/.f64 (*.f64 d d) (*.f64 c c)) (neg.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) a) (pow.f64 c #s(literal 4 binary64)))))) c))
#s(approx (/ c (+ (* d d) (* c c))) (pow.f64 c #s(literal -1 binary64)))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal -1 binary64) #s(literal 1 binary64)) c))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 d d) (*.f64 c c))) c))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (/.f64 (*.f64 d d) (*.f64 c c))) c))
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) b 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 (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) b a)) c)))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) b a))))
#s(approx (+ (* (/ a d) (/ 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 (/ (+ (* d b) (* c a)) (* d 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 (+ (* d b) (* c a)) (*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) b a))))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 d d) (*.f64 c c)) (neg.f64 a)) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) a (fma.f64 a (/.f64 (*.f64 d d) (*.f64 c c)) (neg.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) a) (pow.f64 c #s(literal 4 binary64)))))) c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) a (fma.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) a) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 a (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))))) c)))
#s(approx (/ c (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 1 binary64)) c)))
#s(approx (/ c (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal -1 binary64) #s(literal 1 binary64))) c)))
#s(approx (/ c (+ (* d d) (* c c))) (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (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 -1) (neg.f64 d))
#s(approx d d)
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 b (*.f64 c c))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 6 binary64))) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64))))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 b (*.f64 c c))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64) (pow.f64 c #s(literal -2 binary64))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 6 binary64))) (pow.f64 c #s(literal -4 binary64))) (*.f64 d d) (pow.f64 c #s(literal -2 binary64))) d))
#s(approx (/ d (+ (* d d) (* c c))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 8 binary64))) #s(literal -1 binary64) (pow.f64 c #s(literal -6 binary64))) (*.f64 d d)) (pow.f64 c #s(literal -4 binary64))) (*.f64 d d) (pow.f64 c #s(literal -2 binary64))) d))
#s(approx (* d d) (*.f64 d d))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d) d))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) d) d))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (fma.f64 (/.f64 (*.f64 (*.f64 d d) a) (pow.f64 c #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 a c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) a) (pow.f64 c #s(literal 5 binary64))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 a c)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (fma.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) (pow.f64 c #s(literal 7 binary64))) (/.f64 (neg.f64 a) (pow.f64 c #s(literal 5 binary64)))) (*.f64 d d)) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 a c)))
#s(approx (/ c (+ (* d d) (* c c))) (fma.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 c #s(literal -1 binary64))))
#s(approx (/ c (+ (* d d) (* c c))) (fma.f64 (-.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 5 binary64))) (pow.f64 c #s(literal -3 binary64))) (*.f64 d d) (pow.f64 c #s(literal -1 binary64))))
#s(approx (/ c (+ (* d d) (* c c))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 d d) (pow.f64 c #s(literal 7 binary64))) #s(literal -1 binary64) (pow.f64 c #s(literal -5 binary64))) (*.f64 d d)) (pow.f64 c #s(literal -3 binary64))) (*.f64 d d) (pow.f64 c #s(literal -1 binary64))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (fma.f64 a (/.f64 c d) (/.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 d d))) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (+.f64 (fma.f64 a (/.f64 c d) (neg.f64 (*.f64 a (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) b) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d))
#s(approx (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) (*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d)) #s(literal -1 binary64) b) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 b (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) b) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 6 binary64)) b) (pow.f64 d #s(literal 6 binary64))) #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 (/ d (+ (* d d) (* c c))) (/.f64 (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))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 c c) (*.f64 d d))) d))
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (/.f64 (*.f64 c c) (*.f64 d d))) d))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (*.f64 d d)))) (*.f64 d d)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 c a (/.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) a) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (*.f64 d d))) (*.f64 d d)))
#s(approx (* a (/ c (+ (* d d) (* c c)))) (/.f64 (-.f64 (fma.f64 c a (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) a) (pow.f64 d #s(literal 6 binary64))))) (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d)) (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 5 binary64)) a) (pow.f64 d #s(literal 4 binary64)))))) (*.f64 d d)))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d)) #s(literal -1 binary64) c) (*.f64 d d)))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c) (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d))) (*.f64 d d)))
#s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) c) (neg.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d))) (*.f64 d d)))
#s(approx (+ (* d d) (* c c)) (*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)))
#s(approx (/ (+ (* 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 (/ (+ (* b (* (/ d -1) (/ -1 c))) a) c) (*.f64 (neg.f64 d) (fma.f64 (/.f64 (/.f64 a c) d) #s(literal -1 binary64) (/.f64 (neg.f64 b) (*.f64 c c)))))
#s(approx (+ (* b (* (/ d -1) (/ -1 c))) a) (*.f64 (neg.f64 d) (fma.f64 (/.f64 b c) #s(literal -1 binary64) (/.f64 (neg.f64 a) d))))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 b)) d)))
#s(approx (* b (/ d (+ (* d d) (* c c)))) (neg.f64 (/.f64 (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 (+ (* d b) (* c a)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c d) b))))
#s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c d) b)) d)))
#s(approx (/ (+ (* d b) (* c a)) (* d d)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c d) b)) d)))
#s(approx (+ (* d b) (* c a)) (*.f64 (neg.f64 d) (*.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 c d) b))))

eval43.0ms (1.3%)

Memory
4.9MiB live, 91.9MiB allocated; 13ms collecting garbage
Compiler

Compiled 12 899 to 1 505 computations (88.3% saved)

prune25.0ms (0.8%)

Memory
-43.9MiB live, 66.0MiB allocated; 8ms collecting garbage
Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New3483351
Fresh156
Picked235
Done066
Total35117368
Accuracy
100.0%
Counts
368 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.1%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
21.1%
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
23.4%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
42.9%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
48.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
60.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
60.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (*.f64 #s(approx (/ d -1) (neg.f64 d)) (/.f64 #s(literal -1 binary64) c)) a) c))
25.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
35.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
46.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
40.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
23.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
47.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
22.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
24.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (/.f64 b c) (/.f64 d c))))
33.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d))))
23.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 c d) (/.f64 a d))))
Compiler

Compiled 1 272 to 427 computations (66.4% saved)

regimes46.0ms (1.4%)

Memory
37.6MiB live, 127.7MiB allocated; 7ms collecting garbage
Counts
31 → 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 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ 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))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (fma.f64 c c (*.f64 d 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 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (*.f64 #s(approx (/ d -1) (neg.f64 d)) (/.f64 #s(literal -1 binary64) c)) a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d 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))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b 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)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) 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))) (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)))
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)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
Calls

5 calls:

11.0ms
c
9.0ms
b
8.0ms
d
8.0ms
a
7.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
76.0%2(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
73.3%4a
72.9%3b
87.2%5c
85.3%5d
Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes19.0ms (0.6%)

Memory
-33.5MiB live, 27.3MiB allocated; 9ms 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 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ 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))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (fma.f64 c c (*.f64 d 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 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (*.f64 #s(approx (/ d -1) (neg.f64 d)) (/.f64 #s(literal -1 binary64) c)) a) 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:

11.0ms
c
6.0ms
d
Results
AccuracySegmentsBranch
79.7%3d
81.5%3c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes16.0ms (0.5%)

Memory
26.1MiB live, 26.1MiB allocated; 0ms 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 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ 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))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (fma.f64 c c (*.f64 d 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 (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:

5.0ms
d
5.0ms
c
4.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
60.4%4(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
68.6%3d
77.2%4c
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes18.0ms (0.5%)

Memory
-22.6MiB live, 23.5MiB allocated; 3ms collecting garbage
Counts
17 → 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 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ 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))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
(/.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 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d 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:

7.0ms
c
5.0ms
b
5.0ms
a
Results
AccuracySegmentsBranch
61.5%3a
58.9%4b
72.4%5c
Compiler

Compiled 3 to 12 computations (-300% saved)

regimes10.0ms (0.3%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Counts
16 → 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 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ 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))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* b (/ d c)) a) (*.f64 (/.f64 d c) b)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (fma.f64 c c (*.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 a (/.f64 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))) (*.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

2 calls:

5.0ms
c
4.0ms
d
Results
AccuracySegmentsBranch
65.4%4d
71.3%5c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes4.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 c d) (/.f64 a d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ 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))) #s(approx (+ (* (/ b c) (/ d c)) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* b (/ d c)) a) c) (*.f64 (/.f64 b c) (/.f64 d 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))) #s(approx (+ (* (/ a d) (/ 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 c))
Calls

1 calls:

4.0ms
c
Results
AccuracySegmentsBranch
66.2%3c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes4.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms 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 a #s(approx (/ c (+ (* d d) (* c c))) (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (*.f64 (/.f64 c d) (/.f64 a 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
63.9%3c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes38.0ms (1.2%)

Memory
-35.5MiB live, 9.3MiB allocated; 5ms 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:

33.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
1.0ms
b
1.0ms
c
1.0ms
d
1.0ms
a
Results
AccuracySegmentsBranch
46.9%1b
46.9%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
46.9%1a
46.9%1d
46.9%1c
Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch65.0ms (2%)

Memory
15.7MiB live, 58.2MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
5.455981469819574e+81
2.653310908187326e+83
13.0ms
5.2742643314215845e-155
5.202018027135941e-151
13.0ms
-3.1433813813079306e-156
-1.1441352118961607e-158
15.0ms
-1.3036216437479135e+62
-2.5510508445057773e+53
Samples
40.0ms512×0valid
Compiler

Compiled 1 234 to 882 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 13.0ms (63.1% of total)
ival-add: 4.0ms (19.4% of total)
ival-div: 3.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.7%)

Memory
28.1MiB live, 28.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
1.5130283484841032e-78
2.422848469573612e-78
13.0ms
-3.094337007994619e-11
-9.918090358125832e-15
Samples
13.0ms192×0valid
Compiler

Compiled 594 to 402 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (64.7% of total)
ival-add: 2.0ms (25.9% of total)
ival-div: 1.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.7%)

Memory
-28.6MiB live, 22.8MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
5.455981469819574e+81
2.653310908187326e+83
0.0ms
1.5130283484841032e-78
2.422848469573612e-78
4.0ms
-3.094337007994619e-11
-9.918090358125832e-15
Samples
15.0ms128×0valid
Compiler

Compiled 789 to 563 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (58.6% of total)
ival-div: 1.0ms (19.5% of total)
ival-add: 1.0ms (19.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch46.0ms (1.4%)

Memory
-5.9MiB live, 85.6MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.455981469819574e+81
2.653310908187326e+83
5.0ms
1.5130283484841032e-78
2.422848469573612e-78
17.0ms
-5.466912477122868e-100
-4.130145896119253e-103
17.0ms
-5.460836926171165e+150
-3.053822111634702e+139
Samples
25.0ms336×0valid
Compiler

Compiled 1 463 to 981 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 9.0ms (53.8% of total)
ival-add: 6.0ms (35.9% of total)
ival-div: 2.0ms (12% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (1.2%)

Memory
40.7MiB live, 87.4MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
8.516879033426118e+164
3.1526438225575864e+170
14.0ms
5.2742643314215845e-155
5.202018027135941e-151
5.0ms
-5.466912477122868e-100
-4.130145896119253e-103
1.0ms
-5.460836926171165e+150
-3.053822111634702e+139
Samples
20.0ms304×0valid
Compiler

Compiled 1 593 to 1 103 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (58.6% of total)
ival-div: 2.0ms (16.7% of total)
ival-add: 2.0ms (16.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.4%)

Memory
-42.1MiB live, 13.5MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
1.5130283484841032e-78
2.422848469573612e-78
12.0ms
-3.094337007994619e-11
-9.918090358125832e-15
Samples
9.0ms96×0valid
Compiler

Compiled 702 to 462 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (82.1% of total)
ival-div: 1.0ms (16.4% of total)
ival-add: 1.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
1.5130283484841032e-78
2.422848469573612e-78
1.0ms
-3.094337007994619e-11
-9.918090358125832e-15
Compiler

Compiled 474 to 354 computations (25.3% saved)

simplify26.0ms (0.8%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103658
1138654
2222654
3349654
4559654
5861654
6947654
7947654
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 c #s(literal -10500000000000000539000690148747108896832749702762158054440960 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal -6956167541431065/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 c #s(literal 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal 219999999999999998689481910667164581309350922710926159870254110190539023309846085632 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.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))))))
(if (<=.f64 c #s(literal -3713820117856141/618970019642690137449562112 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) #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))))
(if (<=.f64 c #s(literal -4208996133570293/618970019642690137449562112 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 9500000000000000831862234037182736517157696121118731375621414137405778224748691456 binary64)) (/.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)))))
(if (<=.f64 c #s(literal -2499999999999999972717652955352299031696201565100339736295003866181325599777564537213528201614407515324164732080238474646008190380863584278151168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -1292385803241739/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 7092144455206147/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d)))) (if (<=.f64 c #s(literal 9500000000000000831862234037182736517157696121118731375621414137405778224748691456 binary64)) (/.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))))))
(if (<=.f64 c #s(literal -2499999999999999972717652955352299031696201565100339736295003866181325599777564537213528201614407515324164732080238474646008190380863584278151168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -7313012350050815/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 1916465293854689/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 859999999999999991304335306110166450234029523432344626635026744938536257355708075333184975109236962448722275993049921730015857857246784257898350670080192356041097216 binary64)) #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))))))
(if (<=.f64 c #s(literal -3961408125713217/1237940039285380274899124224 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ 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 c))))
(if (<=.f64 c #s(literal -2011652563838743/309485009821345068724781056 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Outputs
(if (<=.f64 c #s(literal -10500000000000000539000690148747108896832749702762158054440960 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal -6956167541431065/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 c #s(literal 1226537788067001/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal 219999999999999998689481910667164581309350922710926159870254110190539023309846085632 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.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))))))
(if (<=.f64 c #s(literal -3713820117856141/618970019642690137449562112 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) #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))))
(if (or (<=.f64 c #s(literal -3713820117856141/618970019642690137449562112 binary64)) (not (<=.f64 c #s(literal 5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)))) #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)))
(if (<=.f64 c #s(literal -4208996133570293/618970019642690137449562112 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 9500000000000000831862234037182736517157696121118731375621414137405778224748691456 binary64)) (/.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)))))
(if (<=.f64 c #s(literal -2499999999999999972717652955352299031696201565100339736295003866181325599777564537213528201614407515324164732080238474646008190380863584278151168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -1292385803241739/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 7092144455206147/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d)))) (if (<=.f64 c #s(literal 9500000000000000831862234037182736517157696121118731375621414137405778224748691456 binary64)) (/.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))))))
(if (<=.f64 c #s(literal -2499999999999999972717652955352299031696201565100339736295003866181325599777564537213528201614407515324164732080238474646008190380863584278151168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -7313012350050815/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 1916465293854689/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 859999999999999991304335306110166450234029523432344626635026744938536257355708075333184975109236962448722275993049921730015857857246784257898350670080192356041097216 binary64)) #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))))))
(if (<=.f64 c #s(literal -3961408125713217/1237940039285380274899124224 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ 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 c))))
(if (or (<=.f64 c #s(literal -3961408125713217/1237940039285380274899124224 binary64)) (not (<=.f64 c #s(literal 5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ a d) (/ c d)) (/ b d)) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 d d)))))
(if (<=.f64 c #s(literal -2011652563838743/309485009821345068724781056 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
(if (or (<=.f64 c #s(literal -2011652563838743/309485009821345068724781056 binary64)) (not (<=.f64 c #s(literal 5006219615439633/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

derivations247.0ms (7.6%)

Memory
-6.6MiB live, 134.5MiB allocated; 5ms collecting garbage
Stop Event
fuel
Compiler

Compiled 658 to 104 computations (84.2% saved)

preprocess50.0ms (1.5%)

Memory
7.9MiB live, 55.9MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 418 to 270 computations (81% saved)

end0.0ms (0%)

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

Profiling

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