Complex division, real part

Time bar (total: 6.2s)

start0.0ms (0%)

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

analyze34.0ms (0.5%)

Memory
-2.4MiB live, 41.0MiB 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)

sample996.0ms (16.1%)

Memory
15.1MiB live, 1 198.8MiB allocated; 244ms collecting garbage
Samples
624.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 415.0ms
ival-mult: 274.0ms (66.1% of total)
ival-add: 82.0ms (19.8% of total)
ival-div: 47.0ms (11.3% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain125.0ms (2%)

Memory
-34.8MiB live, 171.6MiB allocated; 21ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1071(-3.5179656878021173e-115 -4.2675043293679725e+118 2.2067453874433952e+258 1.4441622696339824e+75)2(-3.604988719830501e-245 -5.4878459555738355e+206 -8.874457993490284e-158 7.762402511820593e-286)(/.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/o520
(+.f64 (*.f64 a c) (*.f64 b d))overflow67
(*.f64 a c)overflow31
(*.f64 b d)overflow40
(+.f64 (*.f64 c c) (*.f64 d d))overflow117
(*.f64 c c)overflow64
(*.f64 d d)overflow74
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o350
(+.f64 (*.f64 c c) (*.f64 d d))overflow117
(*.f64 c c)overflow64
(*.f64 d d)overflow74
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n150
(+.f64 (*.f64 a c) (*.f64 b d))overflow67
(*.f64 a c)overflow31
(*.f64 b d)overflow40
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u40
(+.f64 (*.f64 c c) (*.f64 d d))underflow12
(*.f64 c c)underflow69
(*.f64 d d)underflow48
+.f64(+.f64 (*.f64 a c) (*.f64 b d))nan-rescue10
(*.f64 a c)overflow31
(*.f64 b d)overflow40
Confusion
Predicted +Predicted -
+1052
-1148
Precision
0.9905660377358491
Recall
0.9813084112149533
Confusion?
Predicted +Predicted MaybePredicted -
+10502
-10148
Precision?
0.9905660377358491
Recall?
0.9813084112149533
Freqs
test
numberfreq
0150
1105
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
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 (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)

preprocess35.0ms (0.6%)

Memory
-1.5MiB live, 44.5MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060214
1202210
2487210
3889210
41487210
51833210
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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.3%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify8.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff1
(+.f64 (*.f64 c c) (*.f64 d d))
cost-diff1
(+.f64 (*.f64 a c) (*.f64 b d))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01845
13845
210045
319845
431045
543545
644145
044141
Stop Event
iter limit
saturated
iter limit
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
(/.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)))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 d b (*.f64 c a))
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 b d)
(*.f64 d b)
b
d
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(*.f64 d d)

localize30.0ms (0.5%)

Memory
-15.2MiB live, 34.9MiB allocated; 6ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 a c)
accuracy0.0078125
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy0.2617166858302058
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy25.151453780068344
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
19.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (58.4% of total)
ival-add: 2.0ms (19.5% of total)
ival-div: 1.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Counts
4 → 43
Calls
Call 1
Inputs
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a c)
Outputs
(* b d)
(+ (* a c) (* b d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* a c)
(* a (+ c (/ (* b d) a)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(* c (+ a (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
Calls

12 calls:

TimeVariablePointExpression
2.0ms
d
@-inf
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))
2.0ms
b
@-inf
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))
1.0ms
a
@-inf
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))
1.0ms
a
@0
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))
1.0ms
c
@inf
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))

simplify154.0ms (2.5%)

Memory
9.1MiB live, 94.2MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186623
1667571
22422547
37277547
08281503
Stop Event
iter limit
node limit
Counts
43 → 43
Calls
Call 1
Inputs
(* b d)
(+ (* a c) (* b d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* a c)
(* a (+ c (/ (* b d) a)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(* c (+ a (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
Outputs
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 c a))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(* a c)
(*.f64 c a)
(* a (+ c (/ (* b d) a)))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/.f64 (*.f64 (fma.f64 (/.f64 d a) b c) a) (fma.f64 d d (*.f64 c c)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/.f64 (*.f64 (fma.f64 (/.f64 d a) b c) a) (fma.f64 d d (*.f64 c c)))
(* b (+ d (/ (* a c) b)))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c)))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 a)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(* c (+ a (/ (* b d) c)))
(*.f64 (fma.f64 (/.f64 b c) d a) c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (fma.f64 (/.f64 b c) d a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) (neg.f64 b)) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c))
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d))
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d))
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d)

rewrite196.0ms (3.2%)

Memory
-0.9MiB live, 149.2MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
16932
259232
0902928
Stop Event
iter limit
node limit
iter limit
Counts
4 → 322
Calls
Call 1
Inputs
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a c)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (-.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (*.f64 c a)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d)))) (*.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))))) (+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (fma.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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 (neg.f64 c) a)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 d b (*.f64 (neg.f64 c) a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (neg.f64 c) a (*.f64 d b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (fma.f64 c a (*.f64 (neg.f64 b) d)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 c a (*.f64 (neg.f64 b) d))))
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d))))
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d b (*.f64 (neg.f64 c) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) c) a) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.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 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d))))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 9 binary64)) (pow.f64 (*.f64 d b) #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) c) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d))))))
(/.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 9 binary64)) (pow.f64 (*.f64 d b) #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) c) a) #s(literal 3 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (fma.f64 (neg.f64 c) a (*.f64 d b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 c) a (*.f64 d b))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d)))
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))
(/.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 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)))))
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)))) (/.f64 (neg.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d))))
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (*.f64 c a)) (/.f64 (neg.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d))))
(fma.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (-.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (-.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(fma.f64 d b (*.f64 (neg.f64 (neg.f64 a)) c))
(fma.f64 d b (neg.f64 (*.f64 (neg.f64 c) a)))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 (neg.f64 (neg.f64 a)) c))
(fma.f64 b d (neg.f64 (*.f64 (neg.f64 c) a)))
(fma.f64 b d (*.f64 c a))
(fma.f64 c a (*.f64 (neg.f64 d) (neg.f64 b)))
(fma.f64 c a (*.f64 d b))
(fma.f64 a c (*.f64 (neg.f64 d) (neg.f64 b)))
(fma.f64 a c (*.f64 d b))
(-.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))))
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (neg.f64 b) d) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))))
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(+.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 (neg.f64 d) (/.f64 b (fma.f64 d d (*.f64 c c)))))
(+.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 (neg.f64 b) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(+.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
(*.f64 c a)
(*.f64 a c)

eval50.0ms (0.8%)

Memory
-12.8MiB live, 32.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 12 618 to 1 021 computations (91.9% saved)

prune13.0ms (0.2%)

Memory
22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New33316349
Fresh000
Picked101
Done000
Total33416350
Accuracy
99.5%
Counts
350 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
24.9%
(/.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)))
60.3%
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
40.2%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
31.8%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
56.6%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
52.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)))
43.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)))
48.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
59.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
48.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d))
36.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c))
47.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
39.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
41.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
37.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
Compiler

Compiled 812 to 494 computations (39.2% saved)

simplify143.0ms (2.3%)

Memory
-0.1MiB live, 46.0MiB allocated; 2ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(*.f64 d b)
cost-diff7
(fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)))
cost-diff9
(/.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)))
cost-diff0
(*.f64 (fma.f64 (/.f64 a d) c b) d)
cost-diff0
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d))
cost-diff0
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff1
(+.f64 (*.f64 c c) (*.f64 d d))
cost-diff0
(/.f64 a d)
cost-diff0
(fma.f64 (/.f64 a d) c b)
cost-diff0
(/.f64 (fma.f64 (/.f64 a d) c b) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
cost-diff0
(/.f64 a c)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(*.f64 c a)
cost-diff0
(fma.f64 d b (*.f64 c a))
cost-diff0
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033265
052241
1113234
2363234
31804234
47981234
08010234
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
d
b
(*.f64 c a)
c
a
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
a
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(fma.f64 (/.f64 a d) c b)
(/.f64 a d)
a
d
c
b
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(fma.f64 (/.f64 a d) c b)
(/.f64 a d)
a
d
c
b
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
(/.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)))
(fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)))
(*.f64 d b)
d
b
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))
(*.f64 c a)
a
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 d d (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 a c))
d
b
(*.f64 c a)
(*.f64 a c)
c
a
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
a
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(fma.f64 (/.f64 a d) c b)
(/.f64 a d)
a
d
c
b
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (fma.f64 d d (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(fma.f64 (/.f64 a d) c b)
(/.f64 a d)
a
d
c
b
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(*.f64 d d)
(/.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 b d (*.f64 a c)) (fma.f64 d d (*.f64 c c)))
(fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)))
(*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 b d (*.f64 a c)))
(*.f64 d b)
(*.f64 b d)
d
b
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) a) c)
(*.f64 c a)
(*.f64 a c)
a
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))
#s(literal 2 binary64)

localize118.0ms (1.9%)

Memory
-8.0MiB live, 45.6MiB allocated; 5ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))
accuracy9.023741645999491
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))
accuracy11.706585979411434
(fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)))
accuracy46.35171307502544
(/.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)))
accuracy0.0078125
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy2.906053263060072
(fma.f64 (/.f64 a d) c b)
accuracy3.8227429945146834
(*.f64 (fma.f64 (/.f64 a d) c b) d)
accuracy25.151453780068344
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
accuracy0.0
(/.f64 a d)
accuracy0.764324134066723
(/.f64 (fma.f64 (/.f64 a d) c b) d)
accuracy2.906053263060072
(fma.f64 (/.f64 a d) c b)
accuracy25.706643630516975
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
accuracy0.0
(/.f64 a c)
accuracy38.9013851708923
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy0.0
(*.f64 c a)
accuracy0.00390625
(fma.f64 d d (*.f64 c c))
accuracy0.2539034976055602
(fma.f64 d b (*.f64 c a))
accuracy25.151453780068344
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
Samples
99.0ms256×0valid
Compiler

Compiled 254 to 30 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-add: 28.0ms (51.1% of total)
ival-mult: 15.0ms (27.4% of total)
ival-div: 9.0ms (16.4% of total)
ival-pow2: 2.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series75.0ms (1.2%)

Memory
-22.1MiB live, 23.3MiB allocated; 4ms collecting garbage
Counts
19 → 117
Calls
Call 1
Inputs
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(fma.f64 (/.f64 a d) c b)
(/.f64 a d)
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(/.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)))
(fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)))
(*.f64 d b)
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* b d)
(+ (* a c) (* b d))
(* a c)
(/ a c)
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
b
(+ b (/ (* a c) d))
(/ a d)
(* b (* d (+ (pow c 2) (pow d 2))))
(+ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (* d (+ (pow c 2) (pow d 2)))))
(* a (* c (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ c (/ (* b d) a)))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (* c (+ (pow c 2) (pow d 2))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) a)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (* c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) a)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ (* d (+ (pow c 2) (pow d 2))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) b)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (+ (* -1 (* d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) b)))))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (* c (+ (* c (- (/ b (pow d 3)) (* 2 (/ b (pow d 3))))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (+ (* c (- (/ a (pow d 4)) (* 2 (/ a (pow d 4))))) (/ b (pow d 3))) (* 2 (/ b (pow d 3))))) (/ a (pow d 2)))) (/ b d))
(* b (pow d 3))
(+ (* a (* c (pow d 2))) (* b (pow d 3)))
(+ (* b (pow d 3)) (* c (+ (* a (pow d 2)) (* b (* c d)))))
(+ (* b (pow d 3)) (* c (+ (* a (pow d 2)) (* c (+ (* a c) (* b d))))))
(* a (* c (pow d 2)))
(* c (+ (* a (pow c 2)) (* a (pow d 2))))
(pow d 4)
(+ (* 2 (* (pow c 2) (pow d 2))) (pow d 4))
(+ (* (pow c 2) (+ (* 2 (pow d 2)) (pow c 2))) (pow d 4))
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* c (+ a (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a d) (/ b c)))
(/ (- (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* b d) c))) (* 2 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (+ (/ (* b d) c) (/ (* b (pow d 3)) (pow c 3))))) (+ (* 2 (/ (* a (pow d 2)) (pow c 2))) (* 2 (/ (* b (pow d 3)) (pow c 3))))) c)
(* a (pow c 3))
(* (pow c 3) (+ a (/ (* b d) c)))
(* (pow c 3) (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* b d) c))))
(* (pow c 3) (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (+ (/ (* b d) c) (/ (* b (pow d 3)) (pow c 3))))))
(* (pow c 3) (+ a (/ (* a (pow d 2)) (pow c 2))))
(pow c 4)
(* (pow c 4) (+ 1 (* 2 (/ (pow d 2) (pow c 2)))))
(* (pow c 4) (+ 1 (+ (* 2 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4)))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (* -1 (* a (pow d 2))) (* -2 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* a (pow d 2))) (* -1 (/ (- (* b (pow d 3)) (* 2 (* b (pow d 3)))) c))) (* -2 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (+ (* b d) (/ (* a (pow d 2)) c)) c)))))
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow d 2))) (* -1 (/ (* b (pow d 3)) c))) c)) (* b d)) c)))))
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (* a (pow d 2)) (pow c 2))))))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) d)
(+ (* d (+ (* d (- (/ a (pow c 3)) (* 2 (/ a (pow c 3))))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (+ (* d (- (/ b (pow c 4)) (* 2 (/ b (pow c 4))))) (/ a (pow c 3))) (* 2 (/ a (pow c 3))))) (/ b (pow c 2)))) (/ a c))
(+ (* a (pow c 3)) (* b (* (pow c 2) d)))
(+ (* a (pow c 3)) (* d (+ (* a (* c d)) (* b (pow c 2)))))
(+ (* a (pow c 3)) (* d (+ (* b (pow c 2)) (* d (+ (* a c) (* b d))))))
(+ (* a (* c (pow d 2))) (* a (pow c 3)))
(+ (* 2 (* (pow c 2) (pow d 2))) (pow c 4))
(+ (* (pow d 2) (+ (* 2 (pow c 2)) (pow d 2))) (pow c 4))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (- (+ b (+ (/ (* a c) d) (/ (* b (pow c 2)) (pow d 2)))) (* 2 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (+ (/ (* a c) d) (+ (/ (* a (pow c 3)) (pow d 3)) (/ (* b (pow c 2)) (pow d 2))))) (+ (* 2 (/ (* a (pow c 3)) (pow d 3))) (* 2 (/ (* b (pow c 2)) (pow d 2))))) d)
(* (pow d 3) (+ b (/ (* a c) d)))
(* (pow d 3) (+ b (+ (/ (* a c) d) (/ (* b (pow c 2)) (pow d 2)))))
(* (pow d 3) (+ b (+ (/ (* a c) d) (+ (/ (* a (pow c 3)) (pow d 3)) (/ (* b (pow c 2)) (pow d 2))))))
(* (pow d 2) (+ (* a c) (/ (* a (pow c 3)) (pow d 2))))
(* (pow d 4) (+ 1 (* 2 (/ (pow c 2) (pow d 2)))))
(* (pow d 4) (+ 1 (+ (* 2 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4)))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (* -1 (* b (pow c 2))) (* -2 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* b (pow c 2))) (* -1 (/ (- (* a (pow c 3)) (* 2 (* a (pow c 3)))) d))) (* -2 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (+ (* a c) (/ (* b (pow c 2)) d)) d)))))
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* b (pow c 2))) (* -1 (/ (* a (pow c 3)) d))) d)) (* a c)) d)))))
Calls

12 calls:

TimeVariablePointExpression
38.0ms
d
@-inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* (+ (* (/ a d) c) b) d) (/ (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (pow (+ (* d d) (* c c)) 2)) (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (* d b) (* (+ (* d d) (* c c)) (* c a)) (pow (+ (* d d) (* c c)) 2))
5.0ms
b
@inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* (+ (* (/ a d) c) b) d) (/ (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (pow (+ (* d d) (* c c)) 2)) (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (* d b) (* (+ (* d d) (* c c)) (* c a)) (pow (+ (* d d) (* c c)) 2))
4.0ms
a
@-inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* (+ (* (/ a d) c) b) d) (/ (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (pow (+ (* d d) (* c c)) 2)) (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (* d b) (* (+ (* d d) (* c c)) (* c a)) (pow (+ (* d d) (* c c)) 2))
3.0ms
a
@0
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* (+ (* (/ a d) c) b) d) (/ (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (pow (+ (* d d) (* c c)) 2)) (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (* d b) (* (+ (* d d) (* c c)) (* c a)) (pow (+ (* d d) (* c c)) 2))
3.0ms
a
@inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* (+ (* (/ a d) c) b) d) (/ (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (pow (+ (* d d) (* c c)) 2)) (+ (* (* d b) (+ (* d d) (* c c))) (* (+ (* d d) (* c c)) (* c a))) (* d b) (* (+ (* d d) (* c c)) (* c a)) (pow (+ (* d d) (* c c)) 2))

simplify179.0ms (2.9%)

Memory
19.2MiB live, 64.3MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04682042
118231850
273831831
081961696
Stop Event
iter limit
node limit
Counts
117 → 116
Calls
Call 1
Inputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* b d)
(+ (* a c) (* b d))
(* a c)
(/ a c)
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
b
(+ b (/ (* a c) d))
(/ a d)
(* b (* d (+ (pow c 2) (pow d 2))))
(+ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (* d (+ (pow c 2) (pow d 2)))))
(* a (* c (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ c (/ (* b d) a)))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (* c (+ (pow c 2) (pow d 2))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) a)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (* c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) a)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ (* d (+ (pow c 2) (pow d 2))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) b)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (+ (* -1 (* d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) b)))))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (* c (+ (* c (- (/ b (pow d 3)) (* 2 (/ b (pow d 3))))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (+ (* c (- (/ a (pow d 4)) (* 2 (/ a (pow d 4))))) (/ b (pow d 3))) (* 2 (/ b (pow d 3))))) (/ a (pow d 2)))) (/ b d))
(* b (pow d 3))
(+ (* a (* c (pow d 2))) (* b (pow d 3)))
(+ (* b (pow d 3)) (* c (+ (* a (pow d 2)) (* b (* c d)))))
(+ (* b (pow d 3)) (* c (+ (* a (pow d 2)) (* c (+ (* a c) (* b d))))))
(* a (* c (pow d 2)))
(* c (+ (* a (pow c 2)) (* a (pow d 2))))
(pow d 4)
(+ (* 2 (* (pow c 2) (pow d 2))) (pow d 4))
(+ (* (pow c 2) (+ (* 2 (pow d 2)) (pow c 2))) (pow d 4))
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* c (+ a (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a d) (/ b c)))
(/ (- (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* b d) c))) (* 2 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (+ (/ (* b d) c) (/ (* b (pow d 3)) (pow c 3))))) (+ (* 2 (/ (* a (pow d 2)) (pow c 2))) (* 2 (/ (* b (pow d 3)) (pow c 3))))) c)
(* a (pow c 3))
(* (pow c 3) (+ a (/ (* b d) c)))
(* (pow c 3) (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* b d) c))))
(* (pow c 3) (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (+ (/ (* b d) c) (/ (* b (pow d 3)) (pow c 3))))))
(* (pow c 3) (+ a (/ (* a (pow d 2)) (pow c 2))))
(pow c 4)
(* (pow c 4) (+ 1 (* 2 (/ (pow d 2) (pow c 2)))))
(* (pow c 4) (+ 1 (+ (* 2 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4)))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (* -1 (* a (pow d 2))) (* -2 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* a (pow d 2))) (* -1 (/ (- (* b (pow d 3)) (* 2 (* b (pow d 3)))) c))) (* -2 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (+ (* b d) (/ (* a (pow d 2)) c)) c)))))
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow d 2))) (* -1 (/ (* b (pow d 3)) c))) c)) (* b d)) c)))))
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (* a (pow d 2)) (pow c 2))))))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) d)
(+ (* d (+ (* d (- (/ a (pow c 3)) (* 2 (/ a (pow c 3))))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (+ (* d (- (/ b (pow c 4)) (* 2 (/ b (pow c 4))))) (/ a (pow c 3))) (* 2 (/ a (pow c 3))))) (/ b (pow c 2)))) (/ a c))
(+ (* a (pow c 3)) (* b (* (pow c 2) d)))
(+ (* a (pow c 3)) (* d (+ (* a (* c d)) (* b (pow c 2)))))
(+ (* a (pow c 3)) (* d (+ (* b (pow c 2)) (* d (+ (* a c) (* b d))))))
(+ (* a (* c (pow d 2))) (* a (pow c 3)))
(+ (* 2 (* (pow c 2) (pow d 2))) (pow c 4))
(+ (* (pow d 2) (+ (* 2 (pow c 2)) (pow d 2))) (pow c 4))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (- (+ b (+ (/ (* a c) d) (/ (* b (pow c 2)) (pow d 2)))) (* 2 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (+ (/ (* a c) d) (+ (/ (* a (pow c 3)) (pow d 3)) (/ (* b (pow c 2)) (pow d 2))))) (+ (* 2 (/ (* a (pow c 3)) (pow d 3))) (* 2 (/ (* b (pow c 2)) (pow d 2))))) d)
(* (pow d 3) (+ b (/ (* a c) d)))
(* (pow d 3) (+ b (+ (/ (* a c) d) (/ (* b (pow c 2)) (pow d 2)))))
(* (pow d 3) (+ b (+ (/ (* a c) d) (+ (/ (* a (pow c 3)) (pow d 3)) (/ (* b (pow c 2)) (pow d 2))))))
(* (pow d 2) (+ (* a c) (/ (* a (pow c 3)) (pow d 2))))
(* (pow d 4) (+ 1 (* 2 (/ (pow c 2) (pow d 2)))))
(* (pow d 4) (+ 1 (+ (* 2 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4)))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (* -1 (* b (pow c 2))) (* -2 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* b (pow c 2))) (* -1 (/ (- (* a (pow c 3)) (* 2 (* a (pow c 3)))) d))) (* -2 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (+ (* a c) (/ (* b (pow c 2)) d)) d)))))
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* b (pow c 2))) (* -1 (/ (* a (pow c 3)) d))) d)) (* a c)) d)))))
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(* a c)
(*.f64 a c)
(/ a c)
(/.f64 a c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
b
(+ b (/ (* a c) d))
(fma.f64 (/.f64 c d) a b)
(/ a d)
(/.f64 a d)
(* b (* d (+ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) d) b)
(+ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (* d (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))
(* a (* c (+ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) c) a)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (/.f64 (fma.f64 (/.f64 b a) d c) (fma.f64 c c (*.f64 d d))) a)
(* a (+ c (/ (* b d) a)))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(/ (* a c) (pow d 2))
(*.f64 (/.f64 (/.f64 a d) d) c)
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 (/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) a)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* a (+ (/ b a) (/ c d)))
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a)
(* a (+ (* c (+ (pow c 2) (pow d 2))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) a)))
(*.f64 (fma.f64 (fma.f64 c c (*.f64 d d)) c (/.f64 (*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) d) b) a)) a)
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 a) (/.f64 (neg.f64 (fma.f64 (/.f64 d a) b c)) (fma.f64 c c (*.f64 d d))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 d a) b c)))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 (neg.f64 a) (/.f64 (neg.f64 (+.f64 (/.f64 c d) (/.f64 b a))) d))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 (neg.f64 a) (neg.f64 (+.f64 (/.f64 c d) (/.f64 b a))))
(* -1 (* a (+ (* -1 (* c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (fma.f64 c c (*.f64 d d)) c (/.f64 (*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) d) b) a))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (/.f64 (fma.f64 (/.f64 a b) c d) (fma.f64 c c (*.f64 d d))) b)
(* b (+ d (/ (* a c) b)))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b)
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 (*.f64 b (/.f64 a b)) (/.f64 c d) b)
(* b (+ (* d (+ (pow c 2) (pow d 2))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) b)))
(*.f64 (fma.f64 (fma.f64 c c (*.f64 d d)) d (/.f64 (*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) c) a) b)) b)
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 b) (/.f64 (neg.f64 (fma.f64 (/.f64 c b) a d)) (fma.f64 c c (*.f64 d d))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 (/.f64 c b) a d)))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 a b) (/.f64 (/.f64 (neg.f64 c) d) d)) (/.f64 #s(literal 1 binary64) d)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 a b) (/.f64 (neg.f64 c) d)) #s(literal 1 binary64)))
(* -1 (* b (+ (* -1 (* d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 (fma.f64 c c (*.f64 d d)) d (/.f64 (*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) c) a) b))))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (/.f64 (+.f64 a (/.f64 (*.f64 (neg.f64 b) c) d)) (*.f64 d d)) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 (/.f64 a d) d)) c (/.f64 b d))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (* c (+ (* c (- (/ b (pow d 3)) (* 2 (/ b (pow d 3))))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 (/.f64 a d) d)) c (/.f64 b d))
(+ (* c (+ (* c (- (+ (* c (- (/ a (pow d 4)) (* 2 (/ a (pow d 4))))) (/ b (pow d 3))) (* 2 (/ b (pow d 3))))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) c (*.f64 #s(literal -1 binary64) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 (/.f64 a d) d)) c (/.f64 b d))
(* b (pow d 3))
(*.f64 (pow.f64 d #s(literal 3 binary64)) b)
(+ (* a (* c (pow d 2))) (* b (pow d 3)))
(*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) d) d)
(+ (* b (pow d 3)) (* c (+ (* a (pow d 2)) (* b (* c d)))))
(*.f64 (fma.f64 (*.f64 c d) a (*.f64 (fma.f64 c c (*.f64 d d)) b)) d)
(+ (* b (pow d 3)) (* c (+ (* a (pow d 2)) (* c (+ (* a c) (* b d))))))
(fma.f64 (fma.f64 (*.f64 a d) d (*.f64 (fma.f64 a c (*.f64 b d)) c)) c (*.f64 (pow.f64 d #s(literal 3 binary64)) b))
(* a (* c (pow d 2)))
(*.f64 (*.f64 (*.f64 d d) c) a)
(* c (+ (* a (pow c 2)) (* a (pow d 2))))
(*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) c) a)
(pow d 4)
(pow.f64 d #s(literal 4 binary64))
(+ (* 2 (* (pow c 2) (pow d 2))) (pow d 4))
(fma.f64 (*.f64 (*.f64 (*.f64 d d) c) c) #s(literal 2 binary64) (pow.f64 d #s(literal 4 binary64)))
(+ (* (pow c 2) (+ (* 2 (pow d 2)) (pow c 2))) (pow d 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 c c) #s(literal 2 binary64) (*.f64 d d)) d) d (pow.f64 c #s(literal 4 binary64)))
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 b d (/.f64 (fma.f64 (*.f64 a d) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c)
(* c (+ a (/ (* b d) c)))
(*.f64 (fma.f64 (/.f64 d c) b a) c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) c)
(* c (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)
(/ (- (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* b d) c))) (* 2 (/ (* a (pow d 2)) (pow c 2)))) c)
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 d c) (/.f64 d c)) (+.f64 (/.f64 (fma.f64 b d (/.f64 (*.f64 (*.f64 a d) d) c)) c) a)) c)
(/ (- (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (+ (/ (* b d) c) (/ (* b (pow d 3)) (pow c 3))))) (+ (* 2 (/ (* a (pow d 2)) (pow c 2))) (* 2 (/ (* b (pow d 3)) (pow c 3))))) c)
(/.f64 (-.f64 (fma.f64 b (+.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 d c)) (fma.f64 (*.f64 d (/.f64 d c)) (/.f64 a c) a)) (*.f64 (/.f64 (fma.f64 (*.f64 a d) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (*.f64 c c)) #s(literal 2 binary64))) c)
(* a (pow c 3))
(*.f64 (pow.f64 c #s(literal 3 binary64)) a)
(* (pow c 3) (+ a (/ (* b d) c)))
(*.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (/.f64 d c) b a))
(* (pow c 3) (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* b d) c))))
(*.f64 (+.f64 (/.f64 (fma.f64 b d (/.f64 (*.f64 (*.f64 a d) d) c)) c) a) (pow.f64 c #s(literal 3 binary64)))
(* (pow c 3) (+ a (+ (/ (* a (pow d 2)) (pow c 2)) (+ (/ (* b d) c) (/ (* b (pow d 3)) (pow c 3))))))
(*.f64 (fma.f64 b (+.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 d c)) (fma.f64 (*.f64 d (/.f64 d c)) (/.f64 a c) a)) (pow.f64 c #s(literal 3 binary64)))
(* (pow c 3) (+ a (/ (* a (pow d 2)) (pow c 2))))
(*.f64 (fma.f64 (*.f64 d (/.f64 d c)) (/.f64 a c) a) (pow.f64 c #s(literal 3 binary64)))
(pow c 4)
(pow.f64 c #s(literal 4 binary64))
(* (pow c 4) (+ 1 (* 2 (/ (pow d 2) (pow c 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 d (/.f64 d c)) #s(literal 1 binary64)) (pow.f64 c #s(literal 4 binary64)))
(* (pow c 4) (+ 1 (+ (* 2 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4)))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) c) (*.f64 d (/.f64 d c)) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 c #s(literal 4 binary64)))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) (neg.f64 c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (-.f64 (neg.f64 a) (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (-.f64 (neg.f64 a) (/.f64 (fma.f64 b d (/.f64 (fma.f64 (*.f64 a d) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 (/.f64 (neg.f64 (+.f64 (/.f64 b c) (/.f64 a d))) d) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (neg.f64 (+.f64 (/.f64 b c) (/.f64 a d))) (neg.f64 c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (* -1 (* a (pow d 2))) (* -2 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (-.f64 (neg.f64 a) (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* a (pow d 2))) (* -1 (/ (- (* b (pow d 3)) (* 2 (* b (pow d 3)))) c))) (* -2 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (-.f64 (neg.f64 a) (/.f64 (fma.f64 b d (/.f64 (fma.f64 (*.f64 (neg.f64 b) (/.f64 (pow.f64 d #s(literal 3 binary64)) c)) #s(literal -1 binary64) (*.f64 (*.f64 a d) d)) (neg.f64 c))) c)) (neg.f64 c))
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d c) b a)) (pow.f64 c #s(literal 3 binary64)))
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (+ (* b d) (/ (* a (pow d 2)) c)) c)))))
(*.f64 (pow.f64 (neg.f64 c) #s(literal 3 binary64)) (-.f64 (neg.f64 a) (/.f64 (fma.f64 b d (/.f64 (*.f64 (*.f64 a d) d) c)) c)))
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow d 2))) (* -1 (/ (* b (pow d 3)) c))) c)) (* b d)) c)))))
(*.f64 (pow.f64 (neg.f64 c) #s(literal 3 binary64)) (-.f64 (neg.f64 a) (/.f64 (fma.f64 b d (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a d) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c))) c)) c)))
(* -1 (* (pow c 3) (+ (* -1 a) (* -1 (/ (* a (pow d 2)) (pow c 2))))))
(*.f64 (pow.f64 (neg.f64 c) #s(literal 3 binary64)) (neg.f64 (fma.f64 (*.f64 d (/.f64 d c)) (/.f64 a c) a)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (/.f64 (+.f64 b (/.f64 (*.f64 (neg.f64 a) d) c)) (*.f64 c c)) d (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 d (pow.f64 c #s(literal 4 binary64)))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 b c) c)) d (/.f64 a c))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) d) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 a c (*.f64 b d)) d)
(+ (* d (+ (* d (- (/ a (pow c 3)) (* 2 (/ a (pow c 3))))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 b c) c)) d (/.f64 a c))
(+ (* d (+ (* d (- (+ (* d (- (/ b (pow c 4)) (* 2 (/ b (pow c 4))))) (/ a (pow c 3))) (* 2 (/ a (pow c 3))))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) d (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 c #s(literal 3 binary64))))) d (/.f64 (/.f64 b c) c)) d (/.f64 a c))
(+ (* a (pow c 3)) (* b (* (pow c 2) d)))
(*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) c) c)
(+ (* a (pow c 3)) (* d (+ (* a (* c d)) (* b (pow c 2)))))
(*.f64 (fma.f64 (*.f64 a d) d (*.f64 (fma.f64 a c (*.f64 b d)) c)) c)
(+ (* a (pow c 3)) (* d (+ (* b (pow c 2)) (* d (+ (* a c) (* b d))))))
(fma.f64 (fma.f64 (*.f64 c d) a (*.f64 (fma.f64 c c (*.f64 d d)) b)) d (*.f64 (pow.f64 c #s(literal 3 binary64)) a))
(+ (* a (* c (pow d 2))) (* a (pow c 3)))
(*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) c) a)
(+ (* 2 (* (pow c 2) (pow d 2))) (pow c 4))
(fma.f64 (*.f64 (*.f64 (*.f64 d d) c) c) #s(literal 2 binary64) (pow.f64 c #s(literal 4 binary64)))
(+ (* (pow d 2) (+ (* 2 (pow c 2)) (pow d 2))) (pow c 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 c c) #s(literal 2 binary64) (*.f64 d d)) d) d (pow.f64 c #s(literal 4 binary64)))
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c d)) (*.f64 a c)) d) b) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (+.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d)
(/ (- (+ b (+ (/ (* a c) d) (/ (* b (pow c 2)) (pow d 2)))) (* 2 (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (+.f64 (fma.f64 (/.f64 c d) a b) (/.f64 (fma.f64 (*.f64 c b) c (*.f64 (*.f64 (*.f64 c b) c) #s(literal -2 binary64))) (*.f64 d d))) d)
(/ (- (+ b (+ (/ (* a c) d) (+ (/ (* a (pow c 3)) (pow d 3)) (/ (* b (pow c 2)) (pow d 2))))) (+ (* 2 (/ (* a (pow c 3)) (pow d 3))) (* 2 (/ (* b (pow c 2)) (pow d 2))))) d)
(/.f64 (-.f64 (fma.f64 a (+.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (fma.f64 (*.f64 c (/.f64 c d)) (/.f64 b d) b)) (*.f64 (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (*.f64 d d)) #s(literal 2 binary64))) d)
(* (pow d 3) (+ b (/ (* a c) d)))
(*.f64 (pow.f64 d #s(literal 3 binary64)) (fma.f64 (/.f64 c d) a b))
(* (pow d 3) (+ b (+ (/ (* a c) d) (/ (* b (pow c 2)) (pow d 2)))))
(*.f64 (+.f64 (/.f64 (fma.f64 a c (/.f64 (*.f64 (*.f64 c b) c) d)) d) b) (pow.f64 d #s(literal 3 binary64)))
(* (pow d 3) (+ b (+ (/ (* a c) d) (+ (/ (* a (pow c 3)) (pow d 3)) (/ (* b (pow c 2)) (pow d 2))))))
(*.f64 (fma.f64 a (+.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (fma.f64 (*.f64 c (/.f64 c d)) (/.f64 b d) b)) (pow.f64 d #s(literal 3 binary64)))
(* (pow d 2) (+ (* a c) (/ (* a (pow c 3)) (pow d 2))))
(*.f64 (*.f64 a (+.f64 (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d) c)) (*.f64 d d))
(* (pow d 4) (+ 1 (* 2 (/ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 d #s(literal 4 binary64)))
(* (pow d 4) (+ 1 (+ (* 2 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4)))))
(*.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) #s(literal 2 binary64) #s(literal 1 binary64))) (pow.f64 d #s(literal 4 binary64)))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c d)) (*.f64 a c)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 c d) a b)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (* -1 (* b (pow c 2))) (* -2 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c d)) (*.f64 a c)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* b (pow c 2))) (* -1 (/ (- (* a (pow c 3)) (* 2 (* a (pow c 3)))) d))) (* -2 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 3 binary64)) d)) #s(literal -1 binary64) (*.f64 (*.f64 c b) c)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 c d) a b)) (pow.f64 d #s(literal 3 binary64)))
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (+ (* a c) (/ (* b (pow c 2)) d)) d)))))
(*.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 a c (/.f64 (*.f64 (*.f64 c b) c) d)) d) b))) (pow.f64 d #s(literal 3 binary64)))
(* -1 (* (pow d 3) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* b (pow c 2))) (* -1 (/ (* a (pow c 3)) d))) d)) (* a c)) d)))))
(*.f64 (pow.f64 (neg.f64 d) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 a c (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d))) d)) (neg.f64 d)) b))

rewrite273.0ms (4.4%)

Memory
28.5MiB live, 170.1MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033216
052192
1215185
21773185
08745175
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 605
Calls
Call 1
Inputs
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(fma.f64 (/.f64 a d) c b)
(/.f64 a d)
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(/.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)))
(fma.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)))
(*.f64 d b)
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a))
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 b d (*.f64 a c))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 b d (*.f64 a c)))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 d) b))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (neg.f64 (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (neg.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (+.f64 c d) (-.f64 c d)))
(/.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (+.f64 d c) (-.f64 d c)))
(/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))
(/.f64 (pow.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64)))))
(/.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))
(/.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 d d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (*.f64 c c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 d d) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 c c)))
(fma.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 c c) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 d d)))
(fma.f64 (*.f64 c c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (*.f64 d d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (log.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 d d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 c c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 c c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 d d)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 c c)))
(+.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 c c)) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 d d)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)))))

eval262.0ms (4.2%)

Memory
-7.5MiB live, 448.8MiB allocated; 98ms collecting garbage
Compiler

Compiled 89 540 to 5 674 computations (93.7% saved)

prune41.0ms (0.7%)

Memory
-7.5MiB live, 136.3MiB allocated; 9ms collecting garbage
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1 905101 915
Fresh8311
Picked235
Done000
Total1 915161 931
Accuracy
100.0%
Counts
1 931 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.4%
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
60.3%
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
40.2%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
31.8%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
50.5%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
43.7%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c))
40.9%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
58.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
48.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
59.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
26.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
47.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
39.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
41.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
53.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b)))
24.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
Compiler

Compiled 728 to 455 computations (37.5% saved)

simplify27.0ms (0.4%)

Memory
41.9MiB live, 41.9MiB allocated; 0ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 a d)
cost-diff0
(/.f64 c d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
cost-diff2
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
cost-diff0
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
cost-diff0
(*.f64 c a)
cost-diff0
(fma.f64 d b (*.f64 c a))
cost-diff0
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
cost-diff0
(/.f64 (*.f64 a c) d)
cost-diff0
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d))
cost-diff0
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
cost-diff0
(/.f64 b d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
cost-diff0
(/.f64 b (hypot.f64 c d))
cost-diff0
(hypot.f64 c d)
cost-diff0
(/.f64 d (hypot.f64 c d))
cost-diff8
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038243
058240
1111228
2246220
3541220
41108220
51558220
61592220
71596220
01596215
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 d (hypot.f64 c d))
d
(hypot.f64 c d)
c
(/.f64 b (hypot.f64 c d))
b
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(*.f64 a c)
a
(pow.f64 (hypot.f64 c d) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d))
(/.f64 (*.f64 a c) d)
(*.f64 a c)
a
c
d
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(fma.f64 d b (*.f64 c a))
d
b
(*.f64 c a)
c
a
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 c d)
c
d
(/.f64 a d)
a
(/.f64 b d)
b
Outputs
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 d (hypot.f64 c d))
d
(hypot.f64 c d)
c
(/.f64 b (hypot.f64 c d))
b
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(*.f64 (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) c)
(*.f64 a c)
a
(pow.f64 (hypot.f64 c d) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d))
(/.f64 (*.f64 a c) d)
(*.f64 a c)
a
c
d
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(/.f64 (fma.f64 b d (*.f64 a c)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 a c))
d
b
(*.f64 c a)
(*.f64 a c)
c
a
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/.f64 c d)
c
d
(/.f64 a d)
a
(/.f64 b d)
b

localize117.0ms (1.9%)

Memory
-41.8MiB live, 151.1MiB allocated; 58ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 b d)
accuracy0.0
(/.f64 a d)
accuracy3.0845405990782417
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
accuracy25.706643630516975
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
accuracy0.0
(*.f64 c a)
accuracy0.2539034976055602
(fma.f64 d b (*.f64 c a))
accuracy23.723430574673337
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
accuracy25.151453780068344
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
accuracy0.764324134066723
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)
accuracy3.678820610333786
(/.f64 (*.f64 a c) d)
accuracy25.706643630516975
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
accuracy34.47642420664982
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d))
accuracy0.0
(/.f64 b d)
accuracy33.8226726791857
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy0.00390625
(/.f64 b (hypot.f64 c d))
accuracy0.015625
(/.f64 d (hypot.f64 c d))
accuracy1.2872639456145925
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
accuracy16.84895467273962
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
Samples
66.0ms256×0valid
Compiler

Compiled 238 to 35 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 17.0ms (36.1% of total)
ival-mult: 14.0ms (29.7% of total)
ival-add: 8.0ms (17% of total)
ival-hypot: 5.0ms (10.6% of total)
ival-pow2: 2.0ms (4.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.8%)

Memory
22.9MiB live, 122.3MiB allocated; 7ms collecting garbage
Counts
19 → 145
Calls
Call 1
Inputs
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 d (hypot.f64 c d))
(hypot.f64 c d)
(/.f64 b (hypot.f64 c d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d))
(/.f64 (*.f64 a c) d)
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
(/.f64 c d)
(/.f64 a d)
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
b
(+ b (/ (* a c) d))
(/ (* a c) d)
(* b d)
(+ (* a c) (* b d))
(* a c)
(/ a d)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b a) (/ c d)))
(* a (+ c (/ (* b d) a)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ d (/ (* a c) b)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
1
(+ 1 (* -1/2 (/ (pow c 2) (pow d 2))))
(+ 1 (* (pow c 2) (- (* 3/8 (/ (pow c 2) (pow d 4))) (* 1/2 (/ 1 (pow d 2))))))
(+ 1 (* (pow c 2) (- (* (pow c 2) (+ (* -5/16 (/ (pow c 2) (pow d 6))) (* 3/8 (/ 1 (pow d 4))))) (* 1/2 (/ 1 (pow d 2))))))
d
(+ d (* 1/2 (/ (pow c 2) d)))
(+ d (* (pow c 2) (+ (* -1/8 (/ (pow c 2) (pow d 3))) (* 1/2 (/ 1 d)))))
(+ d (* (pow c 2) (+ (* (pow c 2) (- (* 1/16 (/ (pow c 2) (pow d 5))) (* 1/8 (/ 1 (pow d 3))))) (* 1/2 (/ 1 d)))))
(+ (* -1/2 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (+ (* -1/2 (/ b (pow d 3))) (* 3/8 (/ (* b (pow c 2)) (pow d 5))))) (/ b d))
(+ (* (pow c 2) (+ (* -1/2 (/ b (pow d 3))) (* (pow c 2) (+ (* -5/16 (/ (* b (pow c 2)) (pow d 7))) (* 3/8 (/ b (pow d 5))))))) (/ b d))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ c d)
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(* 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))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ d c)
(/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c)
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c)
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c)
c
(* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2)))))
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2))))))
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2)))))))
(/ b c)
(/ (+ b (* -1/2 (/ (* b (pow d 2)) (pow c 2)))) c)
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (* b (pow d 2)) (pow c 2)))))) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a d) (/ b c)))
(* c (+ a (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (- (+ 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)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))
(* -1 (/ d c))
(* -1 (/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c))
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c))
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c))
(* -1 c)
(* -1 (* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2))))))
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2)))))))
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2))))))))
(* -1 (/ b c))
(* -1 (/ (+ b (* -1/2 (/ (* b (pow d 2)) (pow c 2)))) c))
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (* b (pow d 2)) (pow c 2))))) c))
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (* b (pow d 2)) (pow c 2)))))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(* -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))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ (* -1/2 (/ (pow d 2) (pow c 3))) (/ 1 c)))
(* d (+ (* (pow d 2) (- (* 3/8 (/ (pow d 2) (pow c 5))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c)))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -5/16 (/ (pow d 2) (pow c 7))) (* 3/8 (/ 1 (pow c 5))))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c)))
(+ c (* 1/2 (/ (pow d 2) c)))
(+ c (* (pow d 2) (+ (* -1/8 (/ (pow d 2) (pow c 3))) (* 1/2 (/ 1 c)))))
(+ c (* (pow d 2) (+ (* (pow d 2) (- (* 1/16 (/ (pow d 2) (pow c 5))) (* 1/8 (/ 1 (pow c 3))))) (* 1/2 (/ 1 c)))))
(+ (* -1/2 (/ (* b (pow d 2)) (pow c 3))) (/ b c))
(+ (* (pow d 2) (+ (* -1/2 (/ b (pow c 3))) (* 3/8 (/ (* b (pow d 2)) (pow c 5))))) (/ b c))
(+ (* (pow d 2) (+ (* -1/2 (/ b (pow c 3))) (* (pow d 2) (+ (* -5/16 (/ (* b (pow d 2)) (pow c 7))) (* 3/8 (/ b (pow c 5))))))) (/ b c))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) d)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(+ (* (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))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* -1/2 (/ (pow c 2) (pow d 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* -1/2 (/ (pow c 2) (pow d 2))))))
(* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2)))))
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2))))))
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2)))))))
(/ (+ b (* -1/2 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (* -1/2 (/ (* b (pow c 2)) (pow d 2))))) d)
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6))) (pow d 6))) (* -1/2 (/ (* b (pow c 2)) (pow d 2)))))) d)
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -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))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))
-1
(- (* 1/2 (/ (pow c 2) (pow d 2))) 1)
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))) 1)
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* 1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))) 1)
(* -1 d)
(* -1 (* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2))))))
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))))))
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))))))
(* -1 (/ b d))
(* -1 (/ (+ b (* -1/2 (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (* -1/2 (/ (* b (pow c 2)) (pow d 2))))) d))
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6))) (pow d 6))) (* -1/2 (/ (* b (pow c 2)) (pow d 2)))))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
Calls

12 calls:

TimeVariablePointExpression
10.0ms
b
@0
((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ b (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* a c) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c d) (/ a d) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)))
6.0ms
d
@0
((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ b (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* a c) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c d) (/ a d) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)))
4.0ms
c
@inf
((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ b (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* a c) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c d) (/ a d) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)))
4.0ms
d
@inf
((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ b (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* a c) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c d) (/ a d) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)))
4.0ms
a
@-inf
((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ b (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* a c) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (+ (* (/ c d) (/ a d)) (/ b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c d) (/ a d) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)))

simplify153.0ms (2.5%)

Memory
-9.6MiB live, 178.8MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05962720
120772594
279742594
080132405
Stop Event
iter limit
node limit
Counts
145 → 142
Calls
Call 1
Inputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
b
(+ b (/ (* a c) d))
(/ (* a c) d)
(* b d)
(+ (* a c) (* b d))
(* a c)
(/ a d)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b a) (/ c d)))
(* a (+ c (/ (* b d) a)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ d (/ (* a c) b)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
1
(+ 1 (* -1/2 (/ (pow c 2) (pow d 2))))
(+ 1 (* (pow c 2) (- (* 3/8 (/ (pow c 2) (pow d 4))) (* 1/2 (/ 1 (pow d 2))))))
(+ 1 (* (pow c 2) (- (* (pow c 2) (+ (* -5/16 (/ (pow c 2) (pow d 6))) (* 3/8 (/ 1 (pow d 4))))) (* 1/2 (/ 1 (pow d 2))))))
d
(+ d (* 1/2 (/ (pow c 2) d)))
(+ d (* (pow c 2) (+ (* -1/8 (/ (pow c 2) (pow d 3))) (* 1/2 (/ 1 d)))))
(+ d (* (pow c 2) (+ (* (pow c 2) (- (* 1/16 (/ (pow c 2) (pow d 5))) (* 1/8 (/ 1 (pow d 3))))) (* 1/2 (/ 1 d)))))
(+ (* -1/2 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (+ (* -1/2 (/ b (pow d 3))) (* 3/8 (/ (* b (pow c 2)) (pow d 5))))) (/ b d))
(+ (* (pow c 2) (+ (* -1/2 (/ b (pow d 3))) (* (pow c 2) (+ (* -5/16 (/ (* b (pow c 2)) (pow d 7))) (* 3/8 (/ b (pow d 5))))))) (/ b d))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ c d)
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(* 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))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ d c)
(/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c)
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c)
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c)
c
(* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2)))))
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2))))))
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2)))))))
(/ b c)
(/ (+ b (* -1/2 (/ (* b (pow d 2)) (pow c 2)))) c)
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (* b (pow d 2)) (pow c 2)))))) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a d) (/ b c)))
(* c (+ a (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (- (+ 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)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))
(* -1 (/ d c))
(* -1 (/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c))
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c))
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c))
(* -1 c)
(* -1 (* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2))))))
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2)))))))
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2))))))))
(* -1 (/ b c))
(* -1 (/ (+ b (* -1/2 (/ (* b (pow d 2)) (pow c 2)))) c))
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (* b (pow d 2)) (pow c 2))))) c))
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (* b (pow d 2)) (pow c 2)))))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(* -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))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ (* -1/2 (/ (pow d 2) (pow c 3))) (/ 1 c)))
(* d (+ (* (pow d 2) (- (* 3/8 (/ (pow d 2) (pow c 5))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c)))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -5/16 (/ (pow d 2) (pow c 7))) (* 3/8 (/ 1 (pow c 5))))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c)))
(+ c (* 1/2 (/ (pow d 2) c)))
(+ c (* (pow d 2) (+ (* -1/8 (/ (pow d 2) (pow c 3))) (* 1/2 (/ 1 c)))))
(+ c (* (pow d 2) (+ (* (pow d 2) (- (* 1/16 (/ (pow d 2) (pow c 5))) (* 1/8 (/ 1 (pow c 3))))) (* 1/2 (/ 1 c)))))
(+ (* -1/2 (/ (* b (pow d 2)) (pow c 3))) (/ b c))
(+ (* (pow d 2) (+ (* -1/2 (/ b (pow c 3))) (* 3/8 (/ (* b (pow d 2)) (pow c 5))))) (/ b c))
(+ (* (pow d 2) (+ (* -1/2 (/ b (pow c 3))) (* (pow d 2) (+ (* -5/16 (/ (* b (pow d 2)) (pow c 7))) (* 3/8 (/ b (pow c 5))))))) (/ b c))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) d)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(+ (* (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))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* -1/2 (/ (pow c 2) (pow d 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* -1/2 (/ (pow c 2) (pow d 2))))))
(* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2)))))
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2))))))
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2)))))))
(/ (+ b (* -1/2 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (* -1/2 (/ (* b (pow c 2)) (pow d 2))))) d)
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6))) (pow d 6))) (* -1/2 (/ (* b (pow c 2)) (pow d 2)))))) d)
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -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))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))
-1
(- (* 1/2 (/ (pow c 2) (pow d 2))) 1)
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))) 1)
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* 1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))) 1)
(* -1 d)
(* -1 (* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2))))))
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))))))
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))))))
(* -1 (/ b d))
(* -1 (/ (+ b (* -1/2 (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (* -1/2 (/ (* b (pow c 2)) (pow d 2))))) d))
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6))) (pow d 6))) (* -1/2 (/ (* b (pow c 2)) (pow d 2)))))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
b
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(/ (* a c) d)
(*.f64 (/.f64 a d) c)
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(* a c)
(*.f64 a c)
(/ a d)
(/.f64 a d)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (/.f64 (fma.f64 d (/.f64 b a) c) (fma.f64 c c (*.f64 d d))) a)
(/ (* a c) (pow d 2))
(*.f64 (/.f64 (/.f64 a d) d) c)
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a)
(* a (+ (/ b a) (/ c d)))
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a)
(* a (+ c (/ (* b d) a)))
(*.f64 (fma.f64 d (/.f64 b a) c) a)
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 a) (neg.f64 (/.f64 (fma.f64 d (/.f64 b a) c) (fma.f64 c c (*.f64 d d)))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 (neg.f64 a) (neg.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 (neg.f64 a) (neg.f64 (+.f64 (/.f64 c d) (/.f64 b a))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 d (/.f64 b a) c)))
(* b (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) b)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 c c (*.f64 d d))) b)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d))
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 (*.f64 b (/.f64 a b)) (/.f64 c d) b)
(* b (+ d (/ (* a c) b)))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 b) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 c c (*.f64 d d)))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 a b) (/.f64 (neg.f64 c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) d)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 a b) (/.f64 (neg.f64 c) d)) #s(literal 1 binary64)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 (/.f64 c b) a d)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
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(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -5/16 binary64) b) (*.f64 d (/.f64 d (pow.f64 c #s(literal 7 binary64)))) (*.f64 (/.f64 b (pow.f64 c #s(literal 5 binary64))) #s(literal 3/8 binary64))) (*.f64 d d) (*.f64 (/.f64 b (pow.f64 c #s(literal 3 binary64))) #s(literal -1/2 binary64))) (*.f64 d d) (/.f64 b c))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) d) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 a c (*.f64 b d)) d)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(fma.f64 (*.f64 (neg.f64 a) (/.f64 d (pow.f64 c #s(literal 3 binary64)))) d (/.f64 a c))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(fma.f64 (-.f64 (*.f64 (*.f64 d d) (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 a c))
(+ (* (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))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d (pow.f64 c #s(literal 7 binary64)))) (/.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))
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c d)) (*.f64 a c)) d) b) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 (fma.f64 (neg.f64 a) (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (fma.f64 (/.f64 a d) c b)) (*.f64 (*.f64 c (/.f64 c (*.f64 d d))) b)) d)
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* -1/2 (/ (pow c 2) (pow d 2)))))
(fma.f64 (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d)))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* -1/2 (/ (pow c 2) (pow d 2))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 c #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 c c) (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) #s(literal 1 binary64))
(* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 c (/.f64 c d)) #s(literal 1 binary64)) d)
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 c (/.f64 c d)) #s(literal 1 binary64))) d)
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2)))))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 c (*.f64 d d)))))) d d)
(/ (+ b (* -1/2 (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (fma.f64 (*.f64 (*.f64 c (/.f64 c (*.f64 d d))) b) #s(literal -1/2 binary64) b) d)
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (* -1/2 (/ (* b (pow c 2)) (pow d 2))))) d)
(/.f64 (fma.f64 (*.f64 b (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d))))) #s(literal -1/2 binary64) b) d)
(/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6))) (pow d 6))) (* -1/2 (/ (* b (pow c 2)) (pow d 2)))))) d)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 c #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 c c) (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 c #s(literal 4 binary64))) (/.f64 b (pow.f64 d #s(literal 4 binary64))))) b) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d)
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d) (*.f64 a c)) (*.f64 d d))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 a c)) (*.f64 d d))
(/ (- (+ (* -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))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 a c))) (*.f64 d d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c d)) (*.f64 a c)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow c 2) (pow d 2))) 1)
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 c (*.f64 d d)))) #s(literal 1 binary64))
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))) 1)
(-.f64 (*.f64 (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* 1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))) 1)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 c #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 c c) (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))))) #s(literal 1 binary64))
(* -1 d)
(neg.f64 d)
(* -1 (* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 c (/.f64 c d)) #s(literal 1 binary64)) (neg.f64 d))
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 c (/.f64 c d)) #s(literal 1 binary64))) (neg.f64 d))
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 c (*.f64 d d)))))) d d))
(* -1 (/ b d))
(/.f64 (neg.f64 b) d)
(* -1 (/ (+ b (* -1/2 (/ (* b (pow c 2)) (pow d 2)))) d))
(/.f64 (fma.f64 (*.f64 (*.f64 c (/.f64 c (*.f64 d d))) b) #s(literal -1/2 binary64) b) (neg.f64 d))
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (* -1/2 (/ (* b (pow c 2)) (pow d 2))))) d))
(/.f64 (fma.f64 (*.f64 b (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d))))) #s(literal -1/2 binary64) b) (neg.f64 d))
(* -1 (/ (+ b (+ (* -1/2 (/ (* b (+ (* -1 (pow c 4)) (* 1/4 (pow c 4)))) (pow d 4))) (+ (* -1/2 (/ (* b (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6))) (pow d 6))) (* -1/2 (/ (* b (pow c 2)) (pow d 2)))))) d))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 c #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 c c) (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 c #s(literal 4 binary64))) (/.f64 b (pow.f64 d #s(literal 4 binary64))))) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)) d)

rewrite151.0ms (2.4%)

Memory
30.0MiB live, 216.4MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038208
058204
1236185
21942185
08347180
Stop Event
iter limit
node limit
iter limit
Counts
19 → 457
Calls
Call 1
Inputs
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 d (hypot.f64 c d))
(hypot.f64 c d)
(/.f64 b (hypot.f64 c d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d)
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d))
(/.f64 (*.f64 a c) d)
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
(/.f64 c d)
(/.f64 a d)
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d)))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c)))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))) (/.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))))) (*.f64 (/.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 b) (/.f64 d (hypot.f64 c d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 d) (/.f64 b (hypot.f64 c d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (hypot.f64 c d)) (neg.f64 d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 d (hypot.f64 c d)) (neg.f64 b)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (/.f64 b (hypot.f64 c d)) d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 c d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 b) (neg.f64 d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 a) c))) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 b (neg.f64 d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 d) (neg.f64 b)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 a) c))) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 d) b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 b (hypot.f64 c d)) d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (hypot.f64 c d) (*.f64 (neg.f64 a) c))) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 b) d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 b d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 (neg.f64 a) c))) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a c) (hypot.f64 c d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (hypot.f64 c d) (*.f64 (neg.f64 b) d))) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64)))
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(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) d (*.f64 (neg.f64 (neg.f64 d)) (/.f64 (*.f64 a c) d))) (*.f64 (neg.f64 (neg.f64 d)) d))
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(/.f64 (fma.f64 (neg.f64 b) (neg.f64 d) (*.f64 (neg.f64 d) (*.f64 (/.f64 a d) (neg.f64 c)))) (*.f64 d d))
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 d) (*.f64 (neg.f64 d) (*.f64 (/.f64 c d) (neg.f64 a)))) (*.f64 d d))
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 d) (*.f64 (neg.f64 d) (/.f64 (*.f64 a c) (neg.f64 d)))) (*.f64 d d))
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 d) (*.f64 (neg.f64 d) (*.f64 (neg.f64 a) (/.f64 c d)))) (*.f64 d d))
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 d) (*.f64 (neg.f64 d) (*.f64 (neg.f64 c) (/.f64 a d)))) (*.f64 d d))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 d d) (*.f64 (neg.f64 d) (*.f64 (neg.f64 a) (neg.f64 c)))) (pow.f64 d #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 d d) (*.f64 (neg.f64 d) (*.f64 (neg.f64 c) (neg.f64 a)))) (pow.f64 d #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 d) (*.f64 (neg.f64 d) (neg.f64 (/.f64 (*.f64 a c) d)))) (*.f64 d d))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 (neg.f64 d) d) (*.f64 (neg.f64 d) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 d) (*.f64 (neg.f64 d) d)))
(/.f64 (fma.f64 b (neg.f64 d) (*.f64 d (*.f64 (/.f64 a d) (neg.f64 c)))) (*.f64 (neg.f64 d) d))
(/.f64 (fma.f64 b (neg.f64 d) (*.f64 d (*.f64 (/.f64 c d) (neg.f64 a)))) (*.f64 (neg.f64 d) d))
(/.f64 (fma.f64 b (neg.f64 d) (*.f64 d (/.f64 (*.f64 a c) (neg.f64 d)))) (*.f64 (neg.f64 d) d))
(/.f64 (fma.f64 b (neg.f64 d) (*.f64 d (*.f64 (neg.f64 a) (/.f64 c d)))) (*.f64 (neg.f64 d) d))
(/.f64 (fma.f64 b (neg.f64 d) (*.f64 d (*.f64 (neg.f64 c) (/.f64 a d)))) (*.f64 (neg.f64 d) d))
(/.f64 (fma.f64 b (*.f64 d d) (*.f64 d (*.f64 (neg.f64 a) (neg.f64 c)))) (pow.f64 d #s(literal 3 binary64)))
(/.f64 (fma.f64 b (*.f64 d d) (*.f64 d (*.f64 (neg.f64 c) (neg.f64 a)))) (pow.f64 d #s(literal 3 binary64)))
(/.f64 (fma.f64 b (neg.f64 d) (*.f64 d (neg.f64 (/.f64 (*.f64 a c) d)))) (*.f64 (neg.f64 d) d))
(/.f64 (fma.f64 b (*.f64 (neg.f64 d) d) (*.f64 d (*.f64 (neg.f64 a) c))) (*.f64 d (*.f64 (neg.f64 d) d)))
(/.f64 (/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 a c) d) #s(literal 2 binary64))) (*.f64 d d)) (/.f64 (-.f64 b (/.f64 (*.f64 a c) d)) d))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a c) d) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 d d))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 a c) d) b) d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 b d) (/.f64 (-.f64 b (/.f64 (*.f64 a c) d)) d) (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 (*.f64 a c) d) (neg.f64 d) (*.f64 (neg.f64 b) d)) (*.f64 (neg.f64 d) d))
(/.f64 (fma.f64 (/.f64 (*.f64 a c) d) d (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 (*.f64 a c) (neg.f64 d) (*.f64 (*.f64 d d) (neg.f64 b))) (pow.f64 d #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 a c) d (*.f64 (*.f64 d d) b)) (pow.f64 d #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 b) d (*.f64 (neg.f64 d) (/.f64 (*.f64 a c) d))) (*.f64 (neg.f64 d) d))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 d d) (*.f64 (neg.f64 d) (*.f64 a c))) (pow.f64 d #s(literal 3 binary64)))
(/.f64 (fma.f64 b d (*.f64 d (/.f64 (*.f64 a c) d))) (*.f64 d d))
(/.f64 (fma.f64 b (*.f64 d d) (*.f64 d (*.f64 a c))) (pow.f64 d #s(literal 3 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a c) d) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 d d)) (/.f64 (-.f64 (/.f64 (*.f64 a c) d) b) d))
(/.f64 (+.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a c) d) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 a c) d) b)) (*.f64 d d))))
(/.f64 (+.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 3 binary64))) (fma.f64 (/.f64 b d) (/.f64 (-.f64 b (/.f64 (*.f64 a c) d)) d) (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(fma.f64 (/.f64 a (neg.f64 d)) (/.f64 c (neg.f64 d)) (/.f64 b d))
(fma.f64 (/.f64 c (neg.f64 d)) (/.f64 a (neg.f64 d)) (/.f64 b d))
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 a c) d) b) d)) (/.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 a c) d) b) d)))
(-.f64 (/.f64 b d) (*.f64 (neg.f64 (/.f64 a d)) (/.f64 c d)))
(-.f64 (/.f64 b d) (*.f64 (neg.f64 (/.f64 c d)) (/.f64 a d)))
(+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 3 binary64)) (fma.f64 (/.f64 b d) (/.f64 (-.f64 b (/.f64 (*.f64 a c) d)) d) (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)) (fma.f64 (/.f64 b d) (/.f64 (-.f64 b (/.f64 (*.f64 a c) d)) d) (pow.f64 (/.f64 (/.f64 (*.f64 a c) d) d) #s(literal 2 binary64)))))
(+.f64 (/.f64 (/.f64 (*.f64 a c) d) d) (/.f64 b d))
(+.f64 (/.f64 b d) (/.f64 (/.f64 (*.f64 a c) d) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 c) (neg.f64 d))
(/.f64 c d)
(neg.f64 (/.f64 (neg.f64 c) d))
(neg.f64 (/.f64 c (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 a) (neg.f64 d))
(/.f64 a d)
(neg.f64 (/.f64 (neg.f64 a) d))
(neg.f64 (/.f64 a (neg.f64 d)))
(*.f64 (/.f64 (*.f64 a c) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d)))
(*.f64 (/.f64 (*.f64 a c) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c)))
(*.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))
(*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)))
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
(*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 a c) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (neg.f64 (*.f64 (neg.f64 a) c)) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 a) c) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 a) c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 a c) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))

eval126.0ms (2%)

Memory
-32.6MiB live, 158.5MiB allocated; 93ms collecting garbage
Compiler

Compiled 26 757 to 2 684 computations (90% saved)

prune21.0ms (0.3%)

Memory
5.6MiB live, 55.0MiB allocated; 5ms collecting garbage
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New7963799
Fresh088
Picked145
Done033
Total79718815
Accuracy
100.0%
Counts
815 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.5%
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)))
60.3%
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
40.2%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
31.8%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
31.6%
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
50.5%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
43.7%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c))
40.9%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
58.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
48.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
59.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
26.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
47.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
39.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
41.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
53.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b)))
24.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
42.2%
#s(approx (+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/.f64 (+.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c)) a) c))
Compiler

Compiled 836 to 501 computations (40.1% saved)

simplify25.0ms (0.4%)

Memory
-15.2MiB live, 31.8MiB allocated; 2ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 d c)
cost-diff0
(fma.f64 (/.f64 d c) b a)
cost-diff0
(/.f64 (fma.f64 (/.f64 d c) b a) c)
cost-diff0
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
cost-diff0
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
cost-diff0
(*.f64 c a)
cost-diff0
(fma.f64 d b (*.f64 c a))
cost-diff0
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
cost-diff0
(/.f64 b (fma.f64 d d (*.f64 c c)))
cost-diff0
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
cost-diff1
(fma.f64 d d (*.f64 c c))
cost-diff0
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
cost-diff0
(*.f64 b d)
cost-diff0
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
cost-diff0
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
cost-diff0
(hypot.f64 c d)
cost-diff0
(/.f64 d (hypot.f64 c d))
cost-diff1
(fma.f64 c c (*.f64 d d))
cost-diff2
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046285
072284
1135269
2260268
3550268
41129268
51589268
61626268
01626267
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)))
(/.f64 d (hypot.f64 c d))
d
(hypot.f64 c d)
c
(/.f64 b (hypot.f64 c d))
b
#s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(/.f64 c (fma.f64 c c (*.f64 d d)))
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
a
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
(*.f64 b d)
b
d
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
(/.f64 b (fma.f64 d d (*.f64 c c)))
b
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
c
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
d
b
(*.f64 c a)
c
a
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
d
c
b
a
Outputs
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)))
(fma.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) b #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)))
(/.f64 d (hypot.f64 c d))
d
(hypot.f64 c d)
c
(/.f64 b (hypot.f64 c d))
b
#s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)
(/.f64 c (fma.f64 c c (*.f64 d d)))
(/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(fma.f64 c c (*.f64 d d))
(pow.f64 (hypot.f64 c d) #s(literal 2 binary64))
(*.f64 d d)
a
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
(*.f64 b d)
b
d
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
(*.f64 (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) d)
(/.f64 b (fma.f64 d d (*.f64 c c)))
(/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
b
(fma.f64 d d (*.f64 c c))
(pow.f64 (hypot.f64 c d) #s(literal 2 binary64))
d
(*.f64 c c)
c
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(fma.f64 a c (*.f64 b d))
d
b
(*.f64 c a)
(*.f64 a c)
c
a
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
d
c
b
a

localize89.0ms (1.4%)

Memory
20.0MiB live, 154.5MiB allocated; 13ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 d c)
accuracy0.0390625
(/.f64 (fma.f64 (/.f64 d c) b a) c)
accuracy4.0995630230286615
(fma.f64 (/.f64 d c) b a)
accuracy31.55623985578174
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
accuracy0.0
(*.f64 c a)
accuracy0.2539034976055602
(fma.f64 d b (*.f64 c a))
accuracy25.151453780068344
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
accuracy29.897952713598922
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
accuracy0.00390625
(fma.f64 d d (*.f64 c c))
accuracy9.01658372787332
(/.f64 b (fma.f64 d d (*.f64 c c)))
accuracy12.011540613752837
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
accuracy24.537973172152714
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
accuracy0.0
(*.f64 b d)
accuracy23.723430574673337
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
accuracy25.151453780068344
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
accuracy27.66323952146191
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
accuracy0.015625
(/.f64 d (hypot.f64 c d))
accuracy1.2872639456145925
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)))
accuracy2.970471990516559
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
accuracy18.149603493995834
(/.f64 c (fma.f64 c c (*.f64 d d)))
Samples
63.0ms256×0valid
Compiler

Compiled 276 to 33 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 15.0ms (33.9% of total)
ival-div: 13.0ms (29.4% of total)
ival-add: 9.0ms (20.4% of total)
ival-hypot: 5.0ms (11.3% of total)
ival-pow2: 2.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series73.0ms (1.2%)

Memory
28.9MiB live, 96.0MiB allocated; 66ms collecting garbage
Counts
22 → 169
Calls
Call 1
Inputs
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)))
(fma.f64 c c (*.f64 d d))
(/.f64 d (hypot.f64 c d))
(hypot.f64 c d)
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
(*.f64 b d)
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
(/.f64 b (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
(/.f64 c (fma.f64 c c (*.f64 d d)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* b d)
(+ (* a c) (* b d))
(* a c)
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) c)
(+ a (/ (* b d) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ c (/ (* b d) a)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ b (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a b) (/ d c)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(pow d 2)
(+ (pow c 2) (pow d 2))
1
(+ 1 (* -1/2 (/ (pow c 2) (pow d 2))))
(+ 1 (* (pow c 2) (- (* 3/8 (/ (pow c 2) (pow d 4))) (* 1/2 (/ 1 (pow d 2))))))
(+ 1 (* (pow c 2) (- (* (pow c 2) (+ (* -5/16 (/ (pow c 2) (pow d 6))) (* 3/8 (/ 1 (pow d 4))))) (* 1/2 (/ 1 (pow d 2))))))
d
(+ d (* 1/2 (/ (pow c 2) d)))
(+ d (* (pow c 2) (+ (* -1/8 (/ (pow c 2) (pow d 3))) (* 1/2 (/ 1 d)))))
(+ d (* (pow c 2) (+ (* (pow c 2) (- (* 1/16 (/ (pow c 2) (pow d 5))) (* 1/8 (/ 1 (pow d 3))))) (* 1/2 (/ 1 d)))))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (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))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) c)
(/ d c)
(/ c (pow d 2))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(* 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))))
(/ (* a c) (pow d 2))
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(* 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))))
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c)
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c)
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c)
c
(* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2)))))
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2))))))
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2)))))))
(* c (+ a (/ (* b d) c)))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -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))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ 1 c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (- (+ 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)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))
(* -1 (/ d c))
(* -1 (/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c))
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c))
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c))
(* -1 c)
(* -1 (* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2))))))
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2)))))))
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2))))))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(* -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))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ (* -1/2 (/ (pow d 2) (pow c 3))) (/ 1 c)))
(* d (+ (* (pow d 2) (- (* 3/8 (/ (pow d 2) (pow c 5))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c)))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -5/16 (/ (pow d 2) (pow c 7))) (* 3/8 (/ 1 (pow c 5))))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c)))
(+ c (* 1/2 (/ (pow d 2) c)))
(+ c (* (pow d 2) (+ (* -1/8 (/ (pow d 2) (pow c 3))) (* 1/2 (/ 1 c)))))
(+ c (* (pow d 2) (+ (* (pow d 2) (- (* 1/16 (/ (pow d 2) (pow c 5))) (* 1/8 (/ 1 (pow c 3))))) (* 1/2 (/ 1 c)))))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* 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))))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* (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)))
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(+ (* (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))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* -1/2 (/ (pow c 2) (pow d 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* -1/2 (/ (pow c 2) (pow d 2))))))
(* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2)))))
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2))))))
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2)))))))
(* d (+ b (/ (* a c) d)))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ 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)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a d) (/ b c)))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -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))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))
-1
(- (* 1/2 (/ (pow c 2) (pow d 2))) 1)
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))) 1)
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* 1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))) 1)
(* -1 d)
(* -1 (* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2))))))
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))))))
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -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))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
Calls

12 calls:

TimeVariablePointExpression
28.0ms
d
@-inf
((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (+ (* c c) (* d d)) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ c (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a))
16.0ms
b
@inf
((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (+ (* c c) (* d d)) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ c (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a))
4.0ms
c
@inf
((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (+ (* c c) (* d d)) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ c (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a))
3.0ms
b
@-inf
((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (+ (* c c) (* d d)) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ c (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a))
3.0ms
c
@-inf
((+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (+ (* c c) (* d d)) (/ d (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ c (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a))

simplify226.0ms (3.7%)

Memory
24.9MiB live, 319.1MiB allocated; 149ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06993221
123253068
083892879
Stop Event
iter limit
node limit
Counts
169 → 166
Calls
Call 1
Inputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* b d)
(+ (* a c) (* b d))
(* a c)
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) c)
(+ a (/ (* b d) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ c (/ (* b d) a)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ b (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a b) (/ d c)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(pow d 2)
(+ (pow c 2) (pow d 2))
1
(+ 1 (* -1/2 (/ (pow c 2) (pow d 2))))
(+ 1 (* (pow c 2) (- (* 3/8 (/ (pow c 2) (pow d 4))) (* 1/2 (/ 1 (pow d 2))))))
(+ 1 (* (pow c 2) (- (* (pow c 2) (+ (* -5/16 (/ (pow c 2) (pow d 6))) (* 3/8 (/ 1 (pow d 4))))) (* 1/2 (/ 1 (pow d 2))))))
d
(+ d (* 1/2 (/ (pow c 2) d)))
(+ d (* (pow c 2) (+ (* -1/8 (/ (pow c 2) (pow d 3))) (* 1/2 (/ 1 d)))))
(+ d (* (pow c 2) (+ (* (pow c 2) (- (* 1/16 (/ (pow c 2) (pow d 5))) (* 1/8 (/ 1 (pow d 3))))) (* 1/2 (/ 1 d)))))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (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))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) c)
(/ d c)
(/ c (pow d 2))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(* 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))))
(/ (* a c) (pow d 2))
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(* 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))))
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c)
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c)
(/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c)
c
(* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2)))))
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2))))))
(* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2)))))))
(* c (+ a (/ (* b d) c)))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -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))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ 1 c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (- (+ 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)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))
(* -1 (/ d c))
(* -1 (/ (+ d (* -1/2 (/ (pow d 3) (pow c 2)))) c))
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (* -1/2 (/ (pow d 3) (pow c 2))))) c))
(* -1 (/ (+ d (+ (* -1/2 (/ (* d (+ (* -1 (pow d 4)) (* 1/4 (pow d 4)))) (pow c 4))) (+ (* -1/2 (/ (* d (+ (* 1/2 (* (pow d 2) (+ (* -1 (pow d 4)) (* 1/4 (pow d 4))))) (pow d 6))) (pow c 6))) (* -1/2 (/ (pow d 3) (pow c 2)))))) c))
(* -1 c)
(* -1 (* c (+ 1 (* 1/2 (/ (pow d 2) (pow c 2))))))
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (* 1/2 (/ (pow d 2) (pow c 2)))))))
(* -1 (* c (+ 1 (+ (* -1/8 (/ (pow d 4) (pow c 4))) (+ (* 1/16 (/ (pow d 6) (pow c 6))) (* 1/2 (/ (pow d 2) (pow c 2))))))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(* -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))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ (* -1/2 (/ (pow d 2) (pow c 3))) (/ 1 c)))
(* d (+ (* (pow d 2) (- (* 3/8 (/ (pow d 2) (pow c 5))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c)))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -5/16 (/ (pow d 2) (pow c 7))) (* 3/8 (/ 1 (pow c 5))))) (* 1/2 (/ 1 (pow c 3))))) (/ 1 c)))
(+ c (* 1/2 (/ (pow d 2) c)))
(+ c (* (pow d 2) (+ (* -1/8 (/ (pow d 2) (pow c 3))) (* 1/2 (/ 1 c)))))
(+ c (* (pow d 2) (+ (* (pow d 2) (- (* 1/16 (/ (pow d 2) (pow c 5))) (* 1/8 (/ 1 (pow c 3))))) (* 1/2 (/ 1 c)))))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* 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))))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* (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)))
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(+ (* (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))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* -1/2 (/ (pow c 2) (pow d 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* -1/2 (/ (pow c 2) (pow d 2))))))
(* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2)))))
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2))))))
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2)))))))
(* d (+ b (/ (* a c) d)))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ 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)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a d) (/ b c)))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -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))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))
-1
(- (* 1/2 (/ (pow c 2) (pow d 2))) 1)
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))) 1)
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* 1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))) 1)
(* -1 d)
(* -1 (* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2))))))
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))))))
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -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))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(* a c)
(*.f64 a c)
(/ (* b d) (pow c 2))
(*.f64 (/.f64 b (*.f64 c c)) d)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(+ a (/ (* b d) c))
(fma.f64 (/.f64 b c) d a)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (/.f64 (fma.f64 (/.f64 d a) b c) (fma.f64 c c (*.f64 d d))) a)
(* a (+ c (/ (* b d) a)))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(/ a c)
(/.f64 a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 b (*.f64 (/.f64 (/.f64 d (*.f64 c c)) a) a) (/.f64 a c))
a
(* a (+ 1 (/ (* b d) (* a c))))
(fma.f64 (*.f64 a (/.f64 b a)) (/.f64 d c) a)
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 a) (neg.f64 (/.f64 (fma.f64 (/.f64 d a) b c) (fma.f64 c c (*.f64 d d)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 d a) b c)))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (neg.f64 b) (/.f64 (/.f64 d (*.f64 c c)) a)) (/.f64 #s(literal 1 binary64) c)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(*.f64 (neg.f64 a) (-.f64 (*.f64 (/.f64 b a) (/.f64 (neg.f64 d) c)) #s(literal 1 binary64)))
(/ b (+ (pow c 2) (pow d 2)))
(/.f64 b (fma.f64 c c (*.f64 d d)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 c c (*.f64 d d))) b)
(* b (+ d (/ (* a c) b)))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b)
(* b (+ (/ a b) (/ d c)))
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b)
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 b) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 c c (*.f64 d d)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 (/.f64 c b) a d)))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(*.f64 (neg.f64 b) (neg.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(*.f64 (neg.f64 b) (neg.f64 (+.f64 (/.f64 d c) (/.f64 a b))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 a c)) d) b) d)
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.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))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 c c) d) #s(literal 1 binary64))
(+ 1 (* (pow c 2) (- (* 3/8 (/ (pow c 2) (pow d 4))) (* 1/2 (/ 1 (pow d 2))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 d #s(literal 4 binary64))) c) c (/.f64 #s(literal -1/2 binary64) (*.f64 d d))) (*.f64 c c) #s(literal 1 binary64))
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(fma.f64 (fma.f64 (*.f64 d (/.f64 d (pow.f64 c #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 d d) c)
(+ c (* (pow d 2) (+ (* (pow d 2) (- (* 1/16 (/ (pow d 2) (pow c 5))) (* 1/8 (/ 1 (pow c 3))))) (* 1/2 (/ 1 c)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 d (/.f64 d (pow.f64 c #s(literal 5 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 #s(literal 1/2 binary64) c)) (*.f64 d d) c)
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(*.f64 (fma.f64 (neg.f64 b) (*.f64 d (/.f64 d (pow.f64 c #s(literal 4 binary64)))) (/.f64 b (*.f64 c c))) d)
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(fma.f64 (/.f64 b c) (/.f64 d c) (*.f64 (-.f64 (*.f64 (*.f64 d d) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 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))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (*.f64 d (/.f64 d (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)
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(fma.f64 (neg.f64 b) (*.f64 d (/.f64 d (pow.f64 c #s(literal 4 binary64)))) (/.f64 b (*.f64 c c)))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(fma.f64 (-.f64 (*.f64 (*.f64 d d) (/.f64 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)))
(+ (* (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)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (*.f64 d (/.f64 d (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)))
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) c)
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))
(fma.f64 (-.f64 (*.f64 d (/.f64 d (pow.f64 c #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) c))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 d (/.f64 d (pow.f64 c #s(literal 7 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64)))) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) c))
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) a) c)
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(fma.f64 (-.f64 (*.f64 (*.f64 d d) (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 a c))
(+ (* (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))
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d (pow.f64 c #s(literal 7 binary64)))) (/.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))
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 a c)) d) b) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (+.f64 (fma.f64 (neg.f64 a) (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 a c)) d)) b) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* -1/2 (/ (pow c 2) (pow d 2)))))
(fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* -1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* -1/2 (/ (pow c 2) (pow d 2))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 c #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 c c) (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) #s(literal 1 binary64))
(* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d) #s(literal 1 binary64)) d)
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d) #s(literal 1 binary64))) d)
(* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2)))))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 d #s(literal 4 binary64))))) d d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (/.f64 b d))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 c d) (/.f64 c d))) b) d)
(/ (- (+ 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)
(/.f64 (-.f64 b (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))))) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c c) d) b) (*.f64 d d))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 c d) (/.f64 c d))) b) (*.f64 d d))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 b (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))))) (*.f64 d d))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d)
(* d (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 c (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 d d))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 d d))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d))) (*.f64 d d))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d) (*.f64 a c)) (*.f64 d d))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 a c)) (*.f64 d d))
(/ (- (+ (* -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))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 a c))) (*.f64 d d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 a c)) d)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d)) (neg.f64 d))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ (pow c 2) (pow d 2))) 1)
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d)) #s(literal 1 binary64))
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))) 1)
(-.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(- (+ (* 1/2 (/ (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))) (pow d 4))) (+ (* 1/2 (/ (+ (* 1/2 (* (pow c 2) (+ (* -1 (pow c 4)) (* 1/4 (pow c 4))))) (pow c 6)) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))) 1)
(-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -3/4 binary64) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (pow.f64 c #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 c c) (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))))) #s(literal 1 binary64))
(* -1 d)
(neg.f64 d)
(* -1 (* d (+ 1 (* 1/2 (/ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d) #s(literal 1 binary64)) (neg.f64 d))
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (* 1/2 (/ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d) #s(literal 1 binary64))) (neg.f64 d))
(* -1 (* d (+ 1 (+ (* -1/8 (/ (pow c 4) (pow d 4))) (+ (* 1/16 (/ (pow c 6) (pow d 6))) (* 1/2 (/ (pow c 2) (pow d 2))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 (*.f64 c c) d) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 d #s(literal 4 binary64))))) d d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d)) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 c d) a b)) d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) (neg.f64 d))
(* -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))
(/.f64 (fma.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 b (pow.f64 d #s(literal 4 binary64))) b))) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (neg.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c)))) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (neg.f64 (+.f64 (/.f64 b c) (/.f64 a d))) (neg.f64 d))

rewrite232.0ms (3.8%)

Memory
-43.3MiB live, 356.4MiB allocated; 87ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046231
072229
1249215
21590215
08714214
Stop Event
iter limit
node limit
iter limit
Counts
22 → 782
Calls
Call 1
Inputs
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)))
(fma.f64 c c (*.f64 d d))
(/.f64 d (hypot.f64 c d))
(hypot.f64 c d)
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
(*.f64 b d)
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
(/.f64 b (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
(/.f64 c (fma.f64 c c (*.f64 d d)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
Outputs
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(*.f64 (/.f64 c (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c)))
(*.f64 (/.f64 c (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d)))
(*.f64 (/.f64 c (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))
(*.f64 (/.f64 c (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 c (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (/.f64 c (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (neg.f64 (neg.f64 c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (neg.f64 c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(neg.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 c) (hypot.f64 c d)) (/.f64 a (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (neg.f64 c) (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
(*.f64 (/.f64 (neg.f64 a) (hypot.f64 c d)) (/.f64 c (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (neg.f64 a) (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)))
(*.f64 (/.f64 a (neg.f64 (hypot.f64 c d))) (/.f64 (neg.f64 c) (hypot.f64 c d)))
(*.f64 (/.f64 a (neg.f64 (hypot.f64 c d))) (/.f64 c (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 a (neg.f64 (hypot.f64 c d))) (/.f64 c (hypot.f64 c d)))
(*.f64 (/.f64 c (neg.f64 (hypot.f64 c d))) (/.f64 (neg.f64 a) (hypot.f64 c d)))
(*.f64 (/.f64 c (neg.f64 (hypot.f64 c d))) (/.f64 a (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 c (neg.f64 (hypot.f64 c d))) (/.f64 a (hypot.f64 c d)))
(*.f64 (/.f64 (*.f64 a c) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c)))
(*.f64 (/.f64 (*.f64 a c) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d)))
(*.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 (neg.f64 c) (hypot.f64 c d)))
(*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 c (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 a (hypot.f64 c d)) (/.f64 c (hypot.f64 c d)))
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 (neg.f64 a) (hypot.f64 c d)))
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 a (hypot.f64 c d)))
(*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)
(*.f64 a (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 c (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 a c) (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 c) a))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 a c) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) a)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 c) a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a))

eval139.0ms (2.2%)

Memory
38.4MiB live, 223.9MiB allocated; 19ms collecting garbage
Compiler

Compiled 42 774 to 3 619 computations (91.5% saved)

prune32.0ms (0.5%)

Memory
-13.1MiB live, 77.9MiB allocated; 7ms collecting garbage
Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New8729881
Fresh246
Picked325
Done077
Total87722899
Accuracy
100.0%
Counts
899 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.6%
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b #s(approx (sqrt (+ (* c c) (* d d))) (neg.f64 c))) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)))
60.3%
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
40.2%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
31.8%
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
31.6%
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
48.6%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
48.8%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
19.6%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
40.9%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
19.7%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d)))
58.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
59.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
60.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (/.f64 b (hypot.f64 c d)) d) (hypot.f64 c d)))
26.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
47.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
39.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
61.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (/.f64 d (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (/.f64 b (sqrt.f64 (hypot.f64 c d)))))
41.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
37.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d))
53.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b)))
24.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
42.2%
#s(approx (+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/.f64 (+.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c)) a) c))
Compiler

Compiled 1 705 to 567 computations (66.7% saved)

regimes54.0ms (0.9%)

Memory
10.6MiB live, 66.5MiB allocated; 4ms collecting garbage
Counts
39 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)))
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b #s(approx (sqrt (+ (* c c) (* d d))) (neg.f64 c))) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)))
(/.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)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d))
#s(approx (+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/.f64 (+.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c)) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (/.f64 b (hypot.f64 c d)) d) (hypot.f64 c d)))
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (/.f64 d (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d))) (/.f64 b (sqrt.f64 (hypot.f64 c d)))))
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 (*.f64 a c) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)))
Calls

5 calls:

13.0ms
d
10.0ms
b
10.0ms
a
10.0ms
c
9.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
80.5%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
80.5%1a
80.5%1b
90.8%3c
89.7%4d
Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes35.0ms (0.6%)

Memory
-10.4MiB live, 35.2MiB allocated; 4ms collecting garbage
Counts
36 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)))
(fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b #s(approx (sqrt (+ (* c c) (* d d))) (neg.f64 c))) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)))
(/.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)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d))
#s(approx (+ (* (/ d (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2))) (/.f64 (+.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c)) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (/.f64 b (hypot.f64 c d)) d) (hypot.f64 c d)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)))
Calls

2 calls:

23.0ms
c
9.0ms
d
Results
AccuracySegmentsBranch
88.0%5d
88.3%5c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes22.0ms (0.3%)

Memory
-15.0MiB live, 29.1MiB allocated; 9ms collecting garbage
Counts
28 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Calls

2 calls:

13.0ms
d
8.0ms
c
Results
AccuracySegmentsBranch
85.8%5d
88.0%5c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes9.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Counts
27 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 a d) c b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c 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)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Calls

1 calls:

7.0ms
c
Results
AccuracySegmentsBranch
87.3%5c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes7.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Counts
21 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Calls

1 calls:

6.0ms
c
Results
AccuracySegmentsBranch
87.3%5c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes128.0ms (2.1%)

Memory
-36.9MiB live, 64.4MiB allocated; 21ms collecting garbage
Counts
20 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#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 (fma.f64 (/.f64 b c) d a) c))
Calls

5 calls:

96.0ms
d
15.0ms
c
6.0ms
b
5.0ms
a
5.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
79.7%3d
61.6%2a
64.1%3(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
68.7%6b
81.4%3c
Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes10.0ms (0.2%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c 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 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

2 calls:

5.0ms
d
4.0ms
c
Results
AccuracySegmentsBranch
73.1%3d
75.9%3c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes10.0ms (0.2%)

Memory
-16.2MiB live, 31.7MiB allocated; 2ms collecting garbage
Counts
14 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 (fma.f64 c a (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* 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 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

2 calls:

5.0ms
c
4.0ms
d
Results
AccuracySegmentsBranch
69.7%5d
70.8%4c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes4.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Counts
9 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 a c) d)) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

1 calls:

3.0ms
c
Results
AccuracySegmentsBranch
69.3%4c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes3.0ms (0%)

Memory
9.8MiB live, 9.9MiB allocated; 0ms collecting garbage
Counts
6 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 b (*.f64 c c)) d)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b d) d)) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

1 calls:

2.0ms
c
Results
AccuracySegmentsBranch
66.7%3c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes93.0ms (1.5%)

Memory
-26.3MiB live, 21.2MiB allocated; 1ms 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:

89.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
1.0ms
c
1.0ms
b
1.0ms
d
1.0ms
a
Results
AccuracySegmentsBranch
39.2%1a
39.2%1b
39.2%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
39.2%1d
39.2%1c
Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch29.0ms (0.5%)

Memory
36.7MiB live, 84.1MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
2.89740735481274e+151
5.065494224073824e+151
19.0ms
-2.0343265778150793e+160
-1.650894348306392e+142
Samples
16.0ms224×0valid
Compiler

Compiled 890 to 566 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (64% of total)
ival-add: 2.0ms (21.3% of total)
ival-div: 1.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch60.0ms (1%)

Memory
-12.0MiB live, 85.3MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
2.89740735481274e+151
5.065494224073824e+151
15.0ms
1.7946879616656425e-56
1.9748770378385396e-51
16.0ms
-5.154703504286436e-114
-3.9886651163858925e-120
20.0ms
-4.221424549520505e+88
-3.4853718804268388e+62
Samples
35.0ms480×0valid
Compiler

Compiled 1 362 to 905 computations (33.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 14.0ms (62.7% of total)
ival-add: 5.0ms (22.4% of total)
ival-div: 3.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.89740735481274e+151
5.065494224073824e+151
1.0ms
1.7946879616656425e-56
1.9748770378385396e-51
1.0ms
-5.154703504286436e-114
-3.9886651163858925e-120
1.0ms
-4.221424549520505e+88
-3.4853718804268388e+62
Compiler

Compiled 1 330 to 889 computations (33.2% saved)

bsearch39.0ms (0.6%)

Memory
-9.1MiB live, 35.1MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.3934041775125094e+89
4.6317517058435265e+98
18.0ms
8.72445595132736e-95
1.17478987976659e-92
1.0ms
-5.154703504286436e-114
-3.9886651163858925e-120
1.0ms
-4.221424549520505e+88
-3.4853718804268388e+62
Samples
23.0ms256×0valid
Compiler

Compiled 1 382 to 986 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 13.0ms (78.7% of total)
ival-add: 2.0ms (12.1% of total)
ival-div: 1.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.3934041775125094e+89
4.6317517058435265e+98
1.0ms
8.72445595132736e-95
1.17478987976659e-92
1.0ms
-5.154703504286436e-114
-3.9886651163858925e-120
1.0ms
-4.221424549520505e+88
-3.4853718804268388e+62
Compiler

Compiled 1 350 to 954 computations (29.3% saved)

bsearch73.0ms (1.2%)

Memory
-3.8MiB live, 39.8MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
52.0ms
1.3934041775125094e+89
4.6317517058435265e+98
17.0ms
-1.9948401075638734e-7
-1.3224851697192505e-19
Samples
58.0ms288×0valid
Compiler

Compiled 930 to 626 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 45.0ms (90.3% of total)
ival-add: 3.0ms (6% of total)
ival-div: 2.0ms (4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch67.0ms (1.1%)

Memory
-9.7MiB live, 39.7MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
48.0ms
1.3934041775125094e+89
4.6317517058435265e+98
15.0ms
-1.9948401075638734e-7
-1.3224851697192505e-19
Samples
53.0ms256×0valid
Compiler

Compiled 835 to 588 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 42.0ms (90.9% of total)
ival-add: 2.0ms (4.3% of total)
ival-div: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch85.0ms (1.4%)

Memory
8.0MiB live, 94.5MiB allocated; 16ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
5.065494224073824e+151
4.56370250407272e+165
15.0ms
9.81237505707136e-104
3.4614404156452896e-98
23.0ms
-1.40652014282635e-88
-3.988897572856885e-101
Samples
32.0ms464×0valid
Compiler

Compiled 1 253 to 887 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 12.0ms (62.1% of total)
ival-add: 4.0ms (20.7% of total)
ival-div: 3.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.3%)

Memory
-6.7MiB live, 37.9MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
4.56370250407272e+165
7.557118802585955e+166
1.0ms
9.81237505707136e-104
3.4614404156452896e-98
1.0ms
-1.40652014282635e-88
-3.988897572856885e-101
Samples
11.0ms112×0valid
Compiler

Compiled 1 118 to 794 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (64.7% of total)
ival-div: 1.0ms (21.6% of total)
ival-add: 1.0ms (21.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.2%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
1.3934041775125094e+89
4.6317517058435265e+98
1.0ms
-1.40652014282635e-88
-3.988897572856885e-101
Samples
5.0ms80×0valid
Compiler

Compiled 740 to 550 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (61.5% of total)
ival-add: 1.0ms (30.7% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify86.0ms (1.4%)

Memory
-25.5MiB live, 83.9MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0132945
1182942
2262942
3444942
4834942
51098942
61254942
73013942
84686942
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 c #s(literal -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)))))
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 3235193600058077/107839786668602559178668060348078522694548577690162289924414440996864 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 46000000000000001662372958966743348088996848253410534719938343672701816146584911949147228753238904631952972270416575712934909109167209348989840881876992 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)))))))
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 3235193600058077/107839786668602559178668060348078522694548577690162289924414440996864 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 46999999999999998917563339030654883119605688687423849686874405905413190203200343604726196596612913310699234154069380865516020118000250502183318148087808 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))))
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1247663247098599/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 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 129999999999999998182038059817331204249766697684250844782343580146442861534590134312766539405721600 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))))
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1247663247098599/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 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 129999999999999998182038059817331204249766697684250844782343580146442861534590134312766539405721600 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))))
(if (<=.f64 c #s(literal -215500602038799/316912650057057350374175801344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 175000000000000002615585636142427290719235569774530838993365759532077456185251131574714368 binary64)) #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 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -6800207735332289/37778931862957161709568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) #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 a c))))
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 2616539473979321/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 1350000000000000027550701068517562152649011898709263645665712504225912582164495726794990338966645919624690008820959676060810831707695423444908273949474816 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 2616539473979321/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 4600000000000000315083779253767724793406461635361284585002462093963281145056903622866699469705317140900908419219679731735241788676211573792990447606373517330231590912 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 42000000000000001532366249840715326519264857126261681462079537488015496042722646639752773632 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 -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (fma.f64 (/.f64 d (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) #s(approx (/ (* a c) (pow (sqrt (+ (* c c) (* d d))) 2)) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)))))
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 3235193600058077/107839786668602559178668060348078522694548577690162289924414440996864 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 46000000000000001662372958966743348088996848253410534719938343672701816146584911949147228753238904631952972270416575712934909109167209348989840881876992 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)))))))
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 3235193600058077/107839786668602559178668060348078522694548577690162289924414440996864 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 46999999999999998917563339030654883119605688687423849686874405905413190203200343604726196596612913310699234154069380865516020118000250502183318148087808 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))))
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1247663247098599/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 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 129999999999999998182038059817331204249766697684250844782343580146442861534590134312766539405721600 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))))
(if (<=.f64 c #s(literal -94000000000000004135983890399663579885086385770087756552633002862115480304617621815296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -1663601816472489/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1247663247098599/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 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 129999999999999998182038059817331204249766697684250844782343580146442861534590134312766539405721600 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))))
(if (<=.f64 c #s(literal -215500602038799/316912650057057350374175801344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 175000000000000002615585636142427290719235569774530838993365759532077456185251131574714368 binary64)) #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 (fma.f64 (/.f64 b c) d a) c))))
(if (or (<=.f64 c #s(literal -215500602038799/316912650057057350374175801344 binary64)) (not (<=.f64 c #s(literal 175000000000000002615585636142427290719235569774530838993365759532077456185251131574714368 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))
(if (<=.f64 c #s(literal -6800207735332289/37778931862957161709568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 binary64)) #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 a c))))
(if (or (<=.f64 c #s(literal -6800207735332289/37778931862957161709568 binary64)) (not (<=.f64 c #s(literal 200000000000000008675459394923837214658058664990387862358354757867223362577936222188264751104 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 (fma.f64 (/.f64 a d) c b) d)))
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 2616539473979321/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 1350000000000000027550701068517562152649011898709263645665712504225912582164495726794990338966645919624690008820959676060810831707695423444908273949474816 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 2616539473979321/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 1350000000000000027550701068517562152649011898709263645665712504225912582164495726794990338966645919624690008820959676060810831707695423444908273949474816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 2616539473979321/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 4600000000000000315083779253767724793406461635361284585002462093963281145056903622866699469705317140900908419219679731735241788676211573792990447606373517330231590912 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 42000000000000001532366249840715326519264857126261681462079537488015496042722646639752773632 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 -5017028222478281/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (not (<=.f64 c #s(literal 42000000000000001532366249840715326519264857126261681462079537488015496042722646639752773632 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))

derivations856.0ms (13.9%)

Memory
14.9MiB live, 490.1MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04682042
118231850
273831831
081961696
01132
01832
16932
259232
0902928
0186623
1667571
22422547
37277547
08281503
05962720
120772594
279742594
080132405
033216
052192
1215185
21773185
08745175
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 945 to 130 computations (86.2% saved)

preprocess265.0ms (4.3%)

Memory
-10.2MiB live, 86.5MiB allocated; 14ms collecting garbage
Compiler

Compiled 1 992 to 322 computations (83.8% saved)

end0.0ms (0%)

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

Profiling

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