Complex division, real part

Time bar (total: 7.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze68.0ms (0.9%)

Memory
-6.9MiB live, 31.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.2s (30%)

Memory
24.6MiB live, 1 046.5MiB allocated
Samples
1.9s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-mult: 1.3s (84.5% of total)
ival-add: 117.0ms (7.7% of total)
ival-div: 109.0ms (7.1% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain153.0ms (2.1%)

Memory
-13.9MiB live, 232.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1070-1(-2.0614164460095303e-286 1.391053731680149e+109 -1.6878261145370828e-235 8.359064150067456e-161)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
40-0-(+.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/o480
(+.f64 (*.f64 a c) (*.f64 b d))overflow57
(*.f64 a c)overflow35
(*.f64 b d)overflow31
(+.f64 (*.f64 c c) (*.f64 d d))overflow110
(*.f64 c c)overflow68
(*.f64 d d)overflow62
/.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))overflow110
(*.f64 c c)overflow68
(*.f64 d d)overflow62
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u90
(+.f64 (*.f64 c c) (*.f64 d d))underflow16
(*.f64 c c)underflow74
(*.f64 d d)underflow69
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n90
(+.f64 (*.f64 a c) (*.f64 b d))overflow57
(*.f64 a c)overflow35
(*.f64 b d)overflow31
+.f64(+.f64 (*.f64 a c) (*.f64 b d))nan-rescue40
(*.f64 a c)overflow35
(*.f64 b d)overflow31
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u30
(+.f64 (*.f64 a c) (*.f64 b d))underflow5
(*.f64 a c)underflow28
(*.f64 b d)underflow40
(+.f64 (*.f64 c c) (*.f64 d d))underflow16
(*.f64 c c)underflow74
(*.f64 d d)underflow69
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/n20
(+.f64 (*.f64 a c) (*.f64 b d))underflow5
(*.f64 a c)underflow28
(*.f64 b d)underflow40
Confusion
Predicted +Predicted -
+1061
-0149
Precision
1.0
Recall
0.9906542056074766
Confusion?
Predicted +Predicted MaybePredicted -
+10601
-00149
Precision?
1.0
Recall?
0.9906542056074766
Freqs
test
numberfreq
0150
1102
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms512×0valid
Compiler

Compiled 154 to 48 computations (68.8% saved)

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

preprocess336.0ms (4.6%)

Memory
3.3MiB live, 50.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060218
1132210
2209210
3373210
4926210
52327210
63124210
73959210
84943210
95340210
105468210
115635210
125635210
135671210
145687210
155687210
166047210
177024210
187176210
197188210
207192210
217200210
227208210
237208210
247316210
257364210
267364210
01115
01815
12215
02213
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
egg-herbie
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-diff128
(+.f64 (*.f64 c c) (*.f64 d d))
cost-diff128
(+.f64 (*.f64 a c) (*.f64 b d))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01845
12245
02241
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 (0.4%)

Memory
13.7MiB live, 52.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 a c)
accuracy0.00390625
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy0.9101521216604117
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy25.52088473790691
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
23.0ms256×0valid
Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 6.0ms (42.9% of total)
ival-mult: 6.0ms (42.9% of total)
ival-div: 1.0ms (7.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-10.3MiB live, 27.7MiB allocated
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
5.0ms
b
@0
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))
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))

simplify136.0ms (1.8%)

Memory
19.0MiB live, 177.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186593
1618583
21920559
35924557
08528512
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))))
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(* a c)
(*.f64 c a)
(* a (+ c (/ (* b d) a)))
(fma.f64 d b (*.f64 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))))))
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 d b (*.f64 c a))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(* b (+ d (/ (* a c) b)))
(fma.f64 d b (*.f64 c a))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 d b (*.f64 c a))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(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)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.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 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) 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)))
(fma.f64 d b (*.f64 c a))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.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)
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) 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)))))
(fma.f64 d b (*.f64 c a))
(* -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))
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) 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)))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 b (*.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 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) 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)))
(fma.f64 d b (*.f64 c a))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c 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 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) 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)))))
(fma.f64 d b (*.f64 c a))
(* -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))
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) 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)

rewrite191.0ms (2.6%)

Memory
-20.1MiB live, 259.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
15832
243532
3513132
0881828
Stop Event
iter limit
node limit
iter limit
Counts
4 → 339
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 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(*.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 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))
(*.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 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (-.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (*.f64 c a) #s(literal 4 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 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 d b) (*.f64 c a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (*.f64 c a))))
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a)))
(*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (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 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))))
(*.f64 (fma.f64 d b (*.f64 c a)) (/.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(*.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))) (+.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) a) c) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.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) a) c) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 d b) (*.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 (neg.f64 (fma.f64 (neg.f64 d) b (*.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))))) (fma.f64 (neg.f64 d) b (*.f64 c a)))
(/.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 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (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 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 d b) (*.f64 c a)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) #s(literal 1 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) a) c) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) #s(literal 1 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) a) c) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 d) b (*.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 (fma.f64 (neg.f64 d) b (*.f64 c a)) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (+.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) a) c) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.f64 (*.f64 d b) (*.f64 c a)))
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.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) a) c) #s(literal 3 binary64)))))
(/.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 d) b (*.f64 c a))))
(/.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 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)))
(/.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 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (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))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 (exp.f64 (log.f64 b)) d (*.f64 c a))
(fma.f64 (exp.f64 (log.f64 a)) c (*.f64 d b))
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(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)) (neg.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(fma.f64 (*.f64 (*.f64 a a) c) (/.f64 c (fma.f64 (neg.f64 d) b (*.f64 c a))) (neg.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(fma.f64 (*.f64 (*.f64 c c) a) (/.f64 a (fma.f64 (neg.f64 d) b (*.f64 c a))) (neg.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (neg.f64 d) d)))
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))))
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a)))
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b)))
(fma.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(fma.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))))
(fma.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(fma.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (-.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 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(+.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(+.f64 (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (neg.f64 d) d)))
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a)))
(+.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b)))
(*.f64 (exp.f64 (log.f64 a)) c)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 c a)
(*.f64 a c)
(pow.f64 (*.f64 c a) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 c a)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 c a)))

eval51.0ms (0.7%)

Memory
-7.8MiB live, 68.2MiB allocated
Compiler

Compiled 11 205 to 1 059 computations (90.5% saved)

prune12.0ms (0.2%)

Memory
26.9MiB live, 26.9MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New34913362
Fresh000
Picked101
Done000
Total35013363
Accuracy
99.5%
Counts
363 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
37.5%
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 d b) (*.f64 c a))))
34.0%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
35.3%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
50.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
47.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
54.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
52.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
46.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c))
40.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
47.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
34.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
38.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
Compiler

Compiled 600 to 380 computations (36.7% saved)

simplify5.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 c c)
cost-diff0
(/.f64 d (*.f64 c c))
cost-diff0
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
cost-diff0
(*.f64 b d)
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff128
(+.f64 (*.f64 a c) (*.f64 b d))
cost-diff0
(fma.f64 d d (*.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-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: 0 (0.0ms)

IterNodesCost
029216
044206
158206
271206
378206
478206
078206
Stop Event
iter limit
saturated
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 (/.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 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(/.f64 d (*.f64 c c))
d
(*.f64 c c)
c
b
(/.f64 a c)
a
Outputs
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 d d (*.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
(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 (/.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 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(/.f64 d (*.f64 c c))
d
(*.f64 c c)
c
b
(/.f64 a c)
a

localize239.0ms (3.2%)

Memory
-7.3MiB live, 73.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 c c)
accuracy6.21752381970484
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
accuracy9.039786836192452
(/.f64 d (*.f64 c c))
accuracy28.340396138223024
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
accuracy0.0
(*.f64 a c)
accuracy0.9101521216604117
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy25.52088473790691
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy25.72654611144267
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy0.0
(*.f64 c c)
accuracy8.460609822789664
(/.f64 b (fma.f64 d d (*.f64 c c)))
accuracy12.111859645897637
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
accuracy30.40486753090449
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
accuracy0.0
(/.f64 a c)
accuracy33.46820995005359
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy0.0
(*.f64 c c)
accuracy0.0
(*.f64 c a)
accuracy0.2617159976055602
(fma.f64 d b (*.f64 c a))
accuracy25.52088473790691
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
Samples
127.0ms256×0valid
Compiler

Compiled 408 to 53 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-mult: 98.0ms (88.3% of total)
ival-div: 7.0ms (6.3% of total)
ival-add: 5.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory
3.4MiB live, 41.2MiB allocated
Counts
18 → 82
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 (/.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 (*.f64 a c) (*.f64 b d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(*.f64 a c)
(*.f64 b d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(/.f64 d (*.f64 c c))
(*.f64 c c)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
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) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 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 (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* -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))))
(/ 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))))
(* -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))))))
(/ 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 (/ (* 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))
(/ d (pow c 2))
(pow c 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)
(* c (+ a (/ (* b d) c)))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (+ (* -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 (/ (+ (* -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)))))
(+ (* 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 (/ (* 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)))
(/ (+ 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 (* -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))))
(* -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) (/ (* 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))))))
Calls

12 calls:

TimeVariablePointExpression
6.0ms
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))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ d (* c c)) (* c c) (+ (* c c) (* d d)))
5.0ms
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))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ d (* c c)) (* c c) (+ (* c c) (* d d)))
3.0ms
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))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ d (* c c)) (* c c) (+ (* c c) (* d d)))
2.0ms
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))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ d (* c c)) (* c c) (+ (* c c) (* d d)))
2.0ms
c
@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))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ d (* c c)) (* c c) (+ (* c c) (* d d)))

simplify137.0ms (1.9%)

Memory
7.6MiB live, 165.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03431449
110851402
233671350
083771282
Stop Event
iter limit
node limit
Counts
82 → 82
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) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 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 (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* -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))))
(/ 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))))
(* -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))))))
(/ 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 (/ (* 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))
(/ d (pow c 2))
(pow c 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)
(* c (+ a (/ (* b d) c)))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (+ (* -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 (/ (+ (* -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)))))
(+ (* 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 (/ (* 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)))
(/ (+ 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 (* -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))))
(* -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) (/ (* 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))))))
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))))
(fma.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(* 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) (pow c 2))
(*.f64 (/.f64 b (*.f64 c c)) d)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 (/.f64 b (*.f64 c c)) d (/.f64 a c))
(/ (* 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 (fma.f64 (/.f64 d a) (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 c (fma.f64 c c (*.f64 d d)))) a)
(* a (+ c (/ (* b d) a)))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 (*.f64 a (/.f64 b a)) (/.f64 d (*.f64 c c)) (/.f64 a c))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (fma.f64 (/.f64 d a) (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 c (fma.f64 c c (*.f64 d d)))) a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 (*.f64 a (/.f64 b a)) (/.f64 d (*.f64 c c)) (/.f64 a c))
(/ 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 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 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)
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))) b)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.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 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.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 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (*.f64 (/.f64 b (pow.f64 d #s(literal 5 binary64))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d))
(+ (* (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))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 7 binary64))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d))
(/ b (pow d 2))
(/.f64 (/.f64 b d) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 b d) d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (*.f64 (/.f64 b (pow.f64 d #s(literal 6 binary64))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 b d) d))
(+ (* (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)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 b d) d))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) c)
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(/ (+ 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 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.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 (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 (*.f64 d d) c) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)
(* c (+ a (/ (* b d) c)))
(*.f64 (fma.f64 (/.f64 d c) b a) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/.f64 (*.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64)))) c)
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/.f64 (/.f64 (*.f64 b (-.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) d) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c))) c) c)
(/ (- (+ (* -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))
(/.f64 (fma.f64 b (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c)))) (*.f64 c c))
(/ b (pow c 2))
(/.f64 b (*.f64 c c))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/.f64 (/.f64 (-.f64 b (*.f64 (*.f64 d (/.f64 d (*.f64 c c))) b)) c) c)
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) b) (*.f64 c c))
(/ (- (+ 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))
(/.f64 (fma.f64 (neg.f64 (pow.f64 d #s(literal 6 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64))) (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) b)) (*.f64 c c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 b d)) c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 b d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (fma.f64 (/.f64 d c) b a) c)
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 b (*.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 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (pow.f64 c #s(literal 3 binary64))))) d (/.f64 b (*.f64 c c))) d (/.f64 a c))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(/.f64 (*.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64)))) c)
(* 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 b (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)) (/.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))))
(fma.f64 (/.f64 b c) (/.f64 d c) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 d) d) (/.f64 b (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64))))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(/.f64 (/.f64 (-.f64 b (*.f64 (*.f64 d (/.f64 d (*.f64 c c))) b)) 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 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)))
(+ (* (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 (*.f64 (neg.f64 d) d) (/.f64 b (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 b (*.f64 c c)))
(/ (+ 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 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.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 (fma.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c c) d) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) 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 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d))
(/ (+ b (* -1 (/ (* 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))
(/ (- (+ 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 (*.f64 b (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.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)))))) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 b 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 (-.f64 b (*.f64 b (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.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)))))) d) d)
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 a c)) d) b) 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))) d) b) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (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 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)
(* -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 (-.f64 b (*.f64 b (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.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)))))) d)
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d)

rewrite176.0ms (2.4%)

Memory
7.2MiB live, 197.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029181
044171
1169171
21215171
08723171
Stop Event
iter limit
node limit
iter limit
Counts
18 → 629
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 (/.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 (*.f64 a c) (*.f64 b d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(*.f64 a c)
(*.f64 b d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(/.f64 d (*.f64 c c))
(*.f64 c c)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
Outputs
(*.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 d d (*.f64 c c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #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 d d (*.f64 c c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)) (pow.f64 (fma.f64 d d (*.f64 (neg.f64 c) c)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) #s(literal -1 binary64)) (pow.f64 (fma.f64 d d (*.f64 (neg.f64 c) c)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 d d (*.f64 (neg.f64 c) c)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 d d (*.f64 (neg.f64 c) c)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)))
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(/.f64 (+.f64 (neg.f64 c) (*.f64 (neg.f64 (/.f64 c a)) (*.f64 (/.f64 d c) b))) (*.f64 (neg.f64 (/.f64 c a)) c))
(/.f64 (+.f64 (neg.f64 c) (*.f64 (neg.f64 (/.f64 c a)) (*.f64 b (/.f64 d c)))) (*.f64 (neg.f64 (/.f64 c a)) c))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 c c) d) (*.f64 (neg.f64 (/.f64 c a)) b)) (*.f64 (neg.f64 (/.f64 c a)) (/.f64 (*.f64 c c) d)))
(/.f64 (fma.f64 c c (*.f64 (neg.f64 (/.f64 c a)) (*.f64 b (neg.f64 d)))) (*.f64 (neg.f64 (/.f64 c a)) (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 c c (*.f64 (neg.f64 (/.f64 c a)) (*.f64 (neg.f64 d) b))) (*.f64 (neg.f64 (/.f64 c a)) (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 c c (*.f64 (neg.f64 (/.f64 c a)) (neg.f64 (*.f64 b d)))) (*.f64 (neg.f64 (/.f64 c a)) (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 c b) (/.f64 c d)) (*.f64 (neg.f64 (/.f64 c a)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 c a)) (*.f64 (/.f64 c b) (/.f64 c d))))
(/.f64 (fma.f64 (neg.f64 c) c (*.f64 (neg.f64 (/.f64 c a)) (*.f64 b d))) (*.f64 (neg.f64 (/.f64 c a)) (*.f64 c c)))
(/.f64 (fma.f64 c (/.f64 c d) (*.f64 (/.f64 c a) b)) (*.f64 (/.f64 c a) (/.f64 (*.f64 c c) d)))
(/.f64 (fma.f64 #s(literal 1 binary64) c (*.f64 (/.f64 c a) (/.f64 (*.f64 b d) c))) (*.f64 (/.f64 c a) c))
(/.f64 (fma.f64 #s(literal 1 binary64) c (*.f64 (/.f64 c a) (*.f64 (/.f64 d c) b))) (*.f64 (/.f64 c a) c))
(/.f64 (fma.f64 #s(literal 1 binary64) c (*.f64 (/.f64 c a) (*.f64 b (/.f64 d c)))) (*.f64 (/.f64 c a) c))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c) (*.f64 (/.f64 c a) (*.f64 b (neg.f64 d)))) (*.f64 (/.f64 c a) (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c) (*.f64 (/.f64 c a) (*.f64 (neg.f64 d) b))) (*.f64 (/.f64 c a) (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c) (*.f64 (/.f64 c a) (neg.f64 (*.f64 b d)))) (*.f64 (/.f64 c a) (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 c b) (/.f64 c d)) (/.f64 c a)) (*.f64 (/.f64 c a) (*.f64 (/.f64 c b) (/.f64 c d))))
(/.f64 (fma.f64 (neg.f64 a) c (*.f64 (neg.f64 c) (/.f64 (*.f64 b d) c))) (*.f64 (neg.f64 c) c))
(/.f64 (fma.f64 (neg.f64 a) c (*.f64 (neg.f64 c) (*.f64 (/.f64 d c) b))) (*.f64 (neg.f64 c) c))
(/.f64 (fma.f64 (neg.f64 a) c (*.f64 (neg.f64 c) (*.f64 b (/.f64 d c)))) (*.f64 (neg.f64 c) c))
(/.f64 (fma.f64 (neg.f64 a) (*.f64 (neg.f64 c) c) (*.f64 (neg.f64 c) (*.f64 b (neg.f64 d)))) (*.f64 (neg.f64 c) (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 (neg.f64 a) (*.f64 (neg.f64 c) c) (*.f64 (neg.f64 c) (*.f64 (neg.f64 d) b))) (*.f64 (neg.f64 c) (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 (neg.f64 a) (*.f64 (neg.f64 c) c) (*.f64 (neg.f64 c) (neg.f64 (*.f64 b d)))) (*.f64 (neg.f64 c) (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 (neg.f64 a) (*.f64 (/.f64 c b) (/.f64 c d)) (*.f64 (neg.f64 c) #s(literal 1 binary64))) (*.f64 (neg.f64 c) (*.f64 (/.f64 c b) (/.f64 c d))))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) d) (*.f64 (neg.f64 c) b)) (*.f64 (neg.f64 c) (/.f64 (*.f64 c c) d)))
(/.f64 (fma.f64 a c (*.f64 c (/.f64 (*.f64 b d) c))) (*.f64 c c))
(/.f64 (fma.f64 a c (*.f64 c (*.f64 (/.f64 d c) b))) (*.f64 c c))
(/.f64 (fma.f64 a c (*.f64 c (*.f64 b (/.f64 d c)))) (*.f64 c c))
(/.f64 (fma.f64 a (*.f64 (neg.f64 c) c) (*.f64 c (*.f64 b (neg.f64 d)))) (*.f64 c (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 a (*.f64 (neg.f64 c) c) (*.f64 c (*.f64 (neg.f64 d) b))) (*.f64 c (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 a (*.f64 (neg.f64 c) c) (*.f64 c (neg.f64 (*.f64 b d)))) (*.f64 c (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 a (*.f64 (/.f64 c b) (/.f64 c d)) c) (*.f64 c (*.f64 (/.f64 c b) (/.f64 c d))))
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) d) (*.f64 c b)) (*.f64 c (/.f64 (*.f64 c c) d)))
(/.f64 (-.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64))) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (pow.f64 (/.f64 a c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b d) a) (pow.f64 c #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 a c) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 b d) (/.f64 c a) (*.f64 c c)) (*.f64 (*.f64 c c) (/.f64 c a)))
(/.f64 (fma.f64 (*.f64 b d) (neg.f64 c) (*.f64 (*.f64 c c) (neg.f64 a))) (pow.f64 (neg.f64 c) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 b d) c (*.f64 (*.f64 c c) a)) (pow.f64 c #s(literal 3 binary64)))
(/.f64 (fma.f64 c c (*.f64 (/.f64 c a) (*.f64 b d))) (*.f64 (/.f64 c a) (*.f64 c c)))
(/.f64 (fma.f64 (neg.f64 a) (*.f64 c c) (*.f64 (neg.f64 c) (*.f64 b d))) (pow.f64 (neg.f64 c) #s(literal 3 binary64)))
(/.f64 (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b d))) (pow.f64 c #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (pow.f64 (/.f64 a c) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c) (-.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c c) (/.f64 c a)) (fma.f64 (*.f64 b d) (/.f64 c a) (*.f64 c c))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 c) #s(literal 3 binary64)) (fma.f64 (*.f64 b d) (neg.f64 c) (*.f64 (*.f64 c c) (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (*.f64 b d) c (*.f64 (*.f64 c c) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c a) (*.f64 c c)) (fma.f64 c c (*.f64 (/.f64 c a) (*.f64 b d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 c) #s(literal 3 binary64)) (fma.f64 (neg.f64 a) (*.f64 c c) (*.f64 (neg.f64 c) (*.f64 b d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b d) a) (pow.f64 c #s(literal -3 binary64))))) (+.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))))
(/.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b d) a) (pow.f64 c #s(literal -3 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64))) (fma.f64 (/.f64 a c) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64))))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 d (*.f64 (neg.f64 c) c)) (/.f64 a c))
(fma.f64 (/.f64 (neg.f64 d) #s(literal -1 binary64)) (*.f64 b (pow.f64 c #s(literal -2 binary64))) (/.f64 a c))
(fma.f64 (/.f64 b (neg.f64 c)) (/.f64 (neg.f64 d) c) (/.f64 a c))
(fma.f64 (/.f64 (neg.f64 d) c) (/.f64 b (neg.f64 c)) (/.f64 a c))
(fma.f64 (*.f64 b (pow.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal -1 binary64))) (/.f64 a c))
(fma.f64 (/.f64 (*.f64 b d) c) (pow.f64 c #s(literal -1 binary64)) (/.f64 a c))
(fma.f64 (*.f64 (/.f64 d c) b) (pow.f64 c #s(literal -1 binary64)) (/.f64 a c))
(fma.f64 (*.f64 b (/.f64 d c)) (pow.f64 c #s(literal -1 binary64)) (/.f64 a c))
(fma.f64 (*.f64 b (neg.f64 d)) (/.f64 #s(literal -1 binary64) (*.f64 c c)) (/.f64 a c))
(fma.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal -1 binary64) (*.f64 c c)) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 (neg.f64 (*.f64 b d)) (/.f64 #s(literal -1 binary64) (*.f64 c c)) (/.f64 a c))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c a))) (*.f64 (/.f64 d (*.f64 c c)) b))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) c) (*.f64 (/.f64 d (*.f64 c c)) b))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 (pow.f64 c #s(literal -2 binary64)) (/.f64 b (pow.f64 d #s(literal -1 binary64))) (/.f64 a c))
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 d (*.f64 c c)) b))
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 b (/.f64 d c)) (/.f64 a c))
(fma.f64 (pow.f64 c #s(literal -1 binary64)) a (*.f64 (/.f64 d (*.f64 c c)) b))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 d (*.f64 c c)) b) (/.f64 a c))
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (*.f64 (/.f64 d (*.f64 c c)) b))
(fma.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c))))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 d (*.f64 c c)) b))
(fma.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 1 binary64) (/.f64 a c))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(fma.f64 (*.f64 b d) (pow.f64 c #s(literal -2 binary64)) (/.f64 a c))
(fma.f64 (/.f64 a c) #s(literal 1 binary64) (*.f64 (/.f64 d (*.f64 c c)) b))
(fma.f64 a (pow.f64 c #s(literal -1 binary64)) (*.f64 (/.f64 d (*.f64 c c)) b))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (*.f64 b (pow.f64 c #s(literal -2 binary64))) (/.f64 a c))
(fma.f64 d (*.f64 (pow.f64 c #s(literal -2 binary64)) b) (/.f64 a c))
(-.f64 (/.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c)) (/.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c)))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c)) (/.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c)))
(-.f64 (*.f64 (/.f64 d (*.f64 c c)) b) (/.f64 (neg.f64 a) c))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c)) (neg.f64 (/.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c))))
(+.f64 (*.f64 (/.f64 d (*.f64 c c)) b) (/.f64 a c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d (*.f64 c c)) b))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 d (neg.f64 c)))
(*.f64 (neg.f64 (/.f64 d c)) (/.f64 #s(literal -1 binary64) c))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 c c) d))))
(*.f64 #s(literal -1 binary64) (/.f64 d (*.f64 (neg.f64 c) c)))
(*.f64 (/.f64 d c) (pow.f64 c #s(literal -1 binary64)))
(*.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 c #s(literal -2 binary64)) d)
(*.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 d c))
(*.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c c)))
(*.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) (*.f64 c c)))
(*.f64 d (pow.f64 c #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 c c) d) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 d c))) c)
(/.f64 (neg.f64 (/.f64 d c)) (neg.f64 c))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 c c) d)))
(/.f64 (/.f64 d c) c)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 c c) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) d))
(/.f64 (neg.f64 d) (*.f64 (neg.f64 c) c))
(/.f64 d (*.f64 c c))
(neg.f64 (/.f64 d (*.f64 (neg.f64 c) c)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c) c)) (/.f64 d (*.f64 (neg.f64 c) c)))
(-.f64 #s(literal 0 binary64) (/.f64 d (*.f64 (neg.f64 c) c)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c c) d)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 c) c))
(*.f64 #s(literal 1 binary64) (*.f64 c c))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 (*.f64 c c) #s(literal 1 binary64))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (neg.f64 c) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 c) c) #s(literal -1 binary64))
(/.f64 (*.f64 c c) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 c) c))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c) c))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))

eval135.0ms (1.8%)

Memory
-13.6MiB live, 110.3MiB allocated
Compiler

Compiled 25 404 to 2 382 computations (90.6% saved)

prune31.0ms (0.4%)

Memory
-19.1MiB live, 64.0MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New76414778
Fresh538
Picked325
Done000
Total77219791
Accuracy
99.5%
Counts
791 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
34.1%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
35.3%
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
55.7%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
52.9%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
40.1%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
37.1%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
42.0%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
54.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
54.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
52.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
47.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
47.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
24.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
38.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
47.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
16.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 (-.f64 b (*.f64 (*.f64 d (/.f64 d (*.f64 c c))) b)) c) c)) d))
17.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
38.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* d d) (* c c))) d) (/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))))
Compiler

Compiled 924 to 566 computations (38.7% saved)

simplify35.0ms (0.5%)

Memory
1.5MiB live, 37.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 c d)
cost-diff0
(fma.f64 (/.f64 c d) a b)
cost-diff0
(/.f64 (fma.f64 (/.f64 c d) a b) d)
cost-diff0
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
cost-diff0
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
cost-diff0
(*.f64 b d)
cost-diff0
(fma.f64 a c (*.f64 b d))
cost-diff0
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff0
(/.f64 c a)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 c a))
cost-diff0
(/.f64 b d)
cost-diff0
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035190
050187
165187
272183
378183
4103183
5111183
6164183
7197183
8213183
9235183
10278183
11335183
12397183
13502183
14610183
15677183
16695183
17722183
18728183
0728177
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#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
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
(/.f64 b d)
b
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
#s(literal 1 binary64)
(/.f64 c a)
c
a
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(fma.f64 a c (*.f64 b d))
a
c
(*.f64 b d)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
c
d
a
b
Outputs
#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
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
#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(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 a c)
#s(literal 1 binary64)
(/.f64 c a)
c
a
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(fma.f64 a c (*.f64 b d))
a
c
(*.f64 b d)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
c
d
a
b

localize75.0ms (1%)

Memory
14.7MiB live, 136.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 c d)
accuracy1.2472664272880185
(/.f64 (fma.f64 (/.f64 c d) a b) d)
accuracy3.145178638625301
(fma.f64 (/.f64 c d) a b)
accuracy30.091916562102895
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
accuracy0.0
(*.f64 b d)
accuracy0.7499917428166807
(fma.f64 a c (*.f64 b d))
accuracy25.52088473790691
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy25.72654611144267
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy0.0
(/.f64 c a)
accuracy0.34963456650721436
(/.f64 #s(literal 1 binary64) (/.f64 c a))
accuracy33.46820995005359
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
accuracy0.0
(/.f64 b d)
accuracy38.32381449134024
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
accuracy0.0
(/.f64 d c)
accuracy0.5138026419819784
(/.f64 (fma.f64 (/.f64 d c) b a) c)
accuracy3.171405445377024
(fma.f64 (/.f64 d c) b a)
accuracy28.340396138223024
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
Samples
55.0ms256×0valid
Compiler

Compiled 354 to 65 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 16.0ms (46.2% of total)
ival-mult: 12.0ms (34.6% of total)
ival-add: 6.0ms (17.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
1.9MiB live, 41.0MiB allocated
Counts
17 → 82
Calls
Call 1
Inputs
#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)
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
(/.f64 c a)
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(fma.f64 a c (*.f64 b d))
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
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) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) c)
(+ a (/ (* b d) c))
(/ a c)
(/ c a)
(* b d)
(+ (* a c) (* b d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
b
(+ b (/ (* a c) 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 (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a c)
(* 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)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -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)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a b) (/ d c)))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ 1 (/ (* a c) (* b d))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -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)))
(+ (* 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))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) c)
(/ d c)
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ c d)
(/ (+ 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)))
(* -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)))))
(+ (* 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)
(/ (+ 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 (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a d) (/ b c)))
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 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 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
Calls

12 calls:

TimeVariablePointExpression
4.0ms
b
@-inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d))
3.0ms
c
@-inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d))
3.0ms
d
@-inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d))
2.0ms
a
@-inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d))
2.0ms
c
@inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d))

simplify418.0ms (5.7%)

Memory
-0.3MiB live, 118.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0288998
1993988
23233964
37584964
08593903
Stop Event
iter limit
node limit
Counts
82 → 80
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) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) c)
(+ a (/ (* b d) c))
(/ a c)
(/ c a)
(* b d)
(+ (* a c) (* b d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
b
(+ b (/ (* a c) 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 (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a c)
(* 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)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -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)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a b) (/ d c)))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ 1 (/ (* a c) (* b d))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -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)))
(+ (* 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))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) c)
(/ d c)
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ c d)
(/ (+ 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)))
(* -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)))))
(+ (* 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)
(/ (+ 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 (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a d) (/ b c)))
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 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 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -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))))
(fma.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(/ (* b d) (pow c 2))
(*.f64 (/.f64 (/.f64 b c) c) d)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 (/.f64 (/.f64 b c) c) d (/.f64 a c))
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(+ a (/ (* b d) c))
(fma.f64 (/.f64 b c) d a)
(/ a c)
(/.f64 a c)
(/ c a)
(/.f64 c a)
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 a (*.f64 d d)) c (/.f64 b d))
b
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(/ (* 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 (fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (*.f64 d d)))) a)
(* 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 (/.f64 (*.f64 b d) c) a) a a)
(* a c)
(*.f64 a c)
(* a (+ c (/ (* b d) a)))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(/ (* a c) (pow d 2))
(*.f64 (/.f64 a (*.f64 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 c) d)
(/.f64 (*.f64 a c) d)
(* a (+ (/ b a) (/ c d)))
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a)
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (*.f64 d d)))) a)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 b (*.f64 (/.f64 (/.f64 d (*.f64 c c)) a) a) (/.f64 a c))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(fma.f64 (/.f64 (/.f64 (*.f64 b d) c) a) a a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d 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)
(* b (+ d (/ (* a c) b)))
(*.f64 (fma.f64 (/.f64 a b) c 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))))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) b)
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))) b)
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (fma.f64 (/.f64 a b) c d) b)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) b)
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.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 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 a c (*.f64 b d)) c)
(/ d c)
(/.f64 d c)
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ c d)
(/.f64 c d)
(/ (+ 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)
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 a d) d) c)) c)) 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 b c) d a) c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c)
(* c (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) 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))
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 a d) d) c)) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) 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)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (fma.f64 (/.f64 b c) d a) c)
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 (/.f64 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 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.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)
(/ (+ 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 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 c b) c) d)) d)) 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 (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d)
(* d (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) 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 (/ (+ (* -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))
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 c b) c) d)) d)) 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))) d) b) d)
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (fma.f64 (/.f64 a d) c b) d)

rewrite156.0ms (2.1%)

Memory
1.3MiB live, 111.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035170
050167
1205163
21380163
08533157
Stop Event
iter limit
node limit
iter limit
Counts
17 → 529
Calls
Call 1
Inputs
#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)
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
(/.f64 c a)
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(fma.f64 a c (*.f64 b d))
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
Outputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(*.f64 (pow.f64 (/.f64 c (fma.f64 (/.f64 d c) b a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c (fma.f64 (/.f64 d c) b a)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) c) (/.f64 (fma.f64 (/.f64 d c) b a) (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 c (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 c (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) c) (pow.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) c) (pow.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a)))))
(*.f64 (pow.f64 c #s(literal -1 binary64)) (fma.f64 (/.f64 d c) b a))
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) c)))
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) (/.f64 #s(literal -1 binary64) c))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 d c) b a)))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) c))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(*.f64 (/.f64 (fma.f64 (/.f64 d c) b a) c) (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) (fma.f64 (/.f64 d c) b (neg.f64 a))))
(*.f64 (fma.f64 (/.f64 d c) b a) (pow.f64 c #s(literal -1 binary64)))
(pow.f64 (/.f64 c (fma.f64 (/.f64 d c) b a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) c)) (neg.f64 (fma.f64 (/.f64 d c) b (neg.f64 a))))
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) c)) (neg.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) c) (fma.f64 (/.f64 d c) b (neg.f64 a)))
(/.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) c) (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (*.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (*.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)))) (neg.f64 (*.f64 c (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c))
(/.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 d c) b a) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (*.f64 c (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) c))
(/.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) (neg.f64 c))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 d c) b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c) (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))))
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(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) d) b)
(fma.f64 (/.f64 a (/.f64 #s(literal -1 binary64) c)) (/.f64 #s(literal -1 binary64) d) b)
(fma.f64 (/.f64 a (pow.f64 c #s(literal -1 binary64))) (pow.f64 d #s(literal -1 binary64)) b)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) (/.f64 a (neg.f64 d)) b)
(fma.f64 (/.f64 a (neg.f64 d)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) b)
(fma.f64 (/.f64 a d) c b)
(fma.f64 (*.f64 a (neg.f64 c)) (/.f64 #s(literal -1 binary64) d) b)
(fma.f64 (*.f64 (neg.f64 c) a) (/.f64 #s(literal -1 binary64) d) b)
(fma.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 a (/.f64 #s(literal -1 binary64) c)) b)
(fma.f64 (neg.f64 (*.f64 a c)) (/.f64 #s(literal -1 binary64) d) b)
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 a (pow.f64 c #s(literal -1 binary64))) b)
(fma.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 b) (*.f64 (/.f64 c d) a))
(fma.f64 (/.f64 c d) a b)
(fma.f64 (*.f64 a c) (pow.f64 d #s(literal -1 binary64)) b)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 c d) a) b)
(fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 c d) a))
(fma.f64 a (/.f64 c d) b)
(fma.f64 c (/.f64 a d) b)
(fma.f64 c (*.f64 (pow.f64 d #s(literal -1 binary64)) a) b)
(fma.f64 b #s(literal 1 binary64) (*.f64 (/.f64 c d) a))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (*.f64 (/.f64 c d) a))) (/.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (-.f64 b (*.f64 (/.f64 c d) a))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 c d) a b)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (neg.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(+.f64 (*.f64 (/.f64 c d) a) b)
(+.f64 b (*.f64 (/.f64 c d) a))
(*.f64 (pow.f64 (/.f64 d c) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d c) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d))
(*.f64 (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) d) (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 d #s(literal -1 binary64)) c)
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) d))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) d))
(*.f64 (/.f64 c d) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 c d))
(*.f64 c (pow.f64 d #s(literal -1 binary64)))
(pow.f64 (/.f64 c d) #s(literal 1 binary64))
(pow.f64 (/.f64 d c) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 d #s(literal -1 binary64))) (neg.f64 (pow.f64 c #s(literal -1 binary64))))
(/.f64 (/.f64 (neg.f64 c) d) #s(literal -1 binary64))
(/.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 c #s(literal -1 binary64)))
(/.f64 (neg.f64 c) (neg.f64 d))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) c))
(/.f64 (/.f64 c d) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 d c))
(/.f64 c d)
(neg.f64 (/.f64 (neg.f64 c) d))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (neg.f64 c) d))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 c) d))
(exp.f64 (*.f64 (log.f64 (/.f64 d c)) #s(literal -1 binary64)))

eval102.0ms (1.4%)

Memory
-14.6MiB live, 111.5MiB allocated
Compiler

Compiled 19 394 to 1 891 computations (90.2% saved)

prune22.0ms (0.3%)

Memory
36.8MiB live, 36.8MiB allocated
Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New57311584
Fresh6612
Picked055
Done022
Total57924603
Accuracy
99.6%
Counts
603 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
34.1%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
35.3%
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
17.5%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
55.7%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
52.9%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
52.3%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
52.9%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d))
19.1%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
19.9%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
47.4%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) b)) d))
40.1%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
33.8%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) c) (pow.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) #s(literal -1 binary64))))
37.1%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
42.0%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
40.0%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
18.7%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
21.1%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
47.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
47.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
38.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
47.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
17.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
38.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* d d) (* c c))) d) (/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))))
Compiler

Compiled 1 120 to 700 computations (37.5% saved)

simplify138.0ms (1.9%)

Memory
-27.9MiB live, 57.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(/.f64 d (fma.f64 c c (*.f64 d d)))
cost-diff0
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
cost-diff0
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
cost-diff0
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
cost-diff0
(*.f64 b d)
cost-diff0
#s(approx (+ (* a c) (* b d)) (*.f64 b d))
cost-diff0
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff0
(neg.f64 a)
cost-diff0
(/.f64 #s(literal -1 binary64) c)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))
cost-diff0
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b)
cost-diff0
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d)
cost-diff0
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041251
062257
190248
2147230
3255230
4579230
5883230
61637230
72274230
82851230
93071230
103176230
113180230
123220230
133280230
143308230
153308230
03308224
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d)
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b)
(*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c))
(/.f64 #s(literal -1 binary64) d)
#s(literal -1 binary64)
d
(neg.f64 c)
c
a
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))
(/.f64 #s(literal -1 binary64) c)
#s(literal -1 binary64)
c
(neg.f64 a)
a
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 b d))
(*.f64 b d)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(/.f64 d (fma.f64 c c (*.f64 d d)))
d
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
b
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.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
Outputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d)
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b)
(fma.f64 (/.f64 c d) a b)
(*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c))
(/.f64 c d)
(/.f64 #s(literal -1 binary64) d)
#s(literal -1 binary64)
d
(neg.f64 c)
c
a
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))
(/.f64 a c)
(/.f64 #s(literal -1 binary64) c)
#s(literal -1 binary64)
c
(neg.f64 a)
a
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 b d))
(*.f64 b d)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(/.f64 d (fma.f64 c c (*.f64 d d)))
d
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
b
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 a d) c b)
(fma.f64 (/.f64 c d) a b)
(/.f64 a d)
a
d
c
b

localize88.0ms (1.2%)

Memory
26.6MiB live, 100.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 a d)
accuracy1.2472664272880185
(/.f64 (fma.f64 (/.f64 a d) c b) d)
accuracy2.6718227678448057
(fma.f64 (/.f64 a d) c b)
accuracy30.091916562102895
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
accuracy0.00390625
(fma.f64 c c (*.f64 d d))
accuracy3.3909765853160194
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
accuracy18.825129805689716
(/.f64 d (fma.f64 c c (*.f64 d d)))
accuracy30.40486753090449
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
accuracy0.0
(*.f64 b d)
accuracy25.52088473790691
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy25.72654611144267
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy32.09825737696076
#s(approx (+ (* a c) (* b d)) (*.f64 b d))
accuracy0.0
(/.f64 #s(literal -1 binary64) c)
accuracy0.0
(neg.f64 a)
accuracy0.16796875
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))
accuracy33.46820995005359
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
accuracy0.20703125
(*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c))
accuracy1.2472664272880185
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d)
accuracy3.145178638625301
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b)
accuracy30.091916562102895
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d))
Samples
67.0ms256×0valid
Compiler

Compiled 462 to 75 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 22.0ms (44.5% of total)
ival-div: 15.0ms (30.4% of total)
ival-add: 10.0ms (20.2% of total)
ival-neg: 2.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series60.0ms (0.8%)

Memory
-18.9MiB live, 64.9MiB allocated
Counts
20 → 98
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d)
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b)
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
(/.f64 #s(literal -1 binary64) c)
(neg.f64 a)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 b d))
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(/.f64 d (fma.f64 c c (*.f64 d d)))
(fma.f64 c c (*.f64 d d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.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)
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)
(* -1 a)
(* b d)
(+ (* a c) (* b d))
(/ 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 c) d)
(* a (+ (/ b a) (/ c d)))
(* a c)
(* 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 (+ (/ 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 d)
(+ (* 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 c)
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (* -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))
(/ 1 d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(/ (+ 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 (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))))
(/ (* b d) (pow c 2))
(/ (+ (* -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))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(* -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 (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) 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))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) d)
(* 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))))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(/ (+ 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 (* -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)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) 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))
(* -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 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
Calls

12 calls:

TimeVariablePointExpression
23.0ms
a
@inf
((* (/ -1 d) (neg c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (+ (* (* (/ -1 d) (neg c)) a) b) (* (/ -1 c) (neg a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ -1 c) (neg a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ d (+ (* c c) (* d d))) b) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d))
17.0ms
c
@inf
((* (/ -1 d) (neg c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (+ (* (* (/ -1 d) (neg c)) a) b) (* (/ -1 c) (neg a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ -1 c) (neg a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ d (+ (* c c) (* d d))) b) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d))
2.0ms
d
@-inf
((* (/ -1 d) (neg c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (+ (* (* (/ -1 d) (neg c)) a) b) (* (/ -1 c) (neg a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ -1 c) (neg a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ d (+ (* c c) (* d d))) b) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d))
2.0ms
b
@-inf
((* (/ -1 d) (neg c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (+ (* (* (/ -1 d) (neg c)) a) b) (* (/ -1 c) (neg a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ -1 c) (neg a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ d (+ (* c c) (* d d))) b) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d))
2.0ms
a
@-inf
((* (/ -1 d) (neg c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (+ (* (* (/ -1 d) (neg c)) a) b) (* (/ -1 c) (neg a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ -1 c) (neg a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ d (+ (* c c) (* d d))) b) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d))

simplify203.0ms (2.8%)

Memory
17.6MiB live, 129.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04061549
112911503
239021450
081801376
Stop Event
iter limit
node limit
Counts
98 → 97
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)
(* -1 a)
(* b d)
(+ (* a c) (* b d))
(/ 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 c) d)
(* a (+ (/ b a) (/ c d)))
(* a c)
(* 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 (+ (/ 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 d)
(+ (* 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 c)
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (* -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))
(/ 1 d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(/ (+ 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 (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))))
(/ (* b d) (pow c 2))
(/ (+ (* -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))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(* -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 (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) 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))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) d)
(* 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))))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(/ (+ 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 (* -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)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) 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))
(* -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 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) 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))))
(fma.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 a d) d) c (/.f64 b d))
b
(+ b (/ (* a c) d))
(fma.f64 (/.f64 c d) a b)
(/ a c)
(/.f64 a c)
(* -1 a)
(neg.f64 a)
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(/ 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 (fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 d a) (/.f64 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 c) d)
(/.f64 (*.f64 a c) d)
(* a (+ (/ b a) (/ c d)))
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a)
(* a c)
(*.f64 a c)
(* 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 (fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (*.f64 d d)))) a)
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (fma.f64 d (/.f64 b a) c) a)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 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 (/.f64 (*.f64 a c) d) b) b 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 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))) b)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(*.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) d) b)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(/ c d)
(/.f64 c d)
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 (/.f64 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 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 (/.f64 a d) d)) c (/.f64 b d))
(/ -1 c)
(/.f64 #s(literal -1 binary64) c)
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(*.f64 b (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 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))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 7 binary64))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d))
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d)
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d))
(/ (+ 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 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.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 (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 (*.f64 d d) c) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a d) d)) c)
(* c (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) 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))
(/ (* b d) (pow c 2))
(*.f64 (/.f64 (/.f64 b c) c) d)
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/.f64 (*.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64)))) c)
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/.f64 (/.f64 (*.f64 b (-.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) d) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c))) c) c)
(/ (- (+ (* -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))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c)) (*.f64 b (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))))) (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) c)
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) d) c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) c)
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64)))) c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 b d)) c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) 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)
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a d) d)) c)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (fma.f64 (/.f64 d c) b a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 (/.f64 (/.f64 b c) c) d (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 (/.f64 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 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.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 (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(fma.f64 (/.f64 d c) (/.f64 b c) (*.f64 (neg.f64 b) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 4 binary64)))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(fma.f64 (/.f64 d c) (/.f64 b 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))))
(fma.f64 (/.f64 d c) (/.f64 b c) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 d) d) (/.f64 b (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64))))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 d (*.f64 c c)))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(fma.f64 (fma.f64 d (/.f64 d (pow.f64 c #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64)) (/.f64 d (*.f64 c c)))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 d) (/.f64 d (pow.f64 c #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64)) (/.f64 d (*.f64 c 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 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.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 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) 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 (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(*.f64 b (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (*.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) 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 (*.f64 b (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.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)))))) d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 a c)) d) b) 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))) d) b) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(*.f64 b (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(/.f64 (*.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) 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 (-.f64 b (*.f64 b (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.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)))))) d)
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d)
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d)
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) d)

rewrite219.0ms (3%)

Memory
-38.5MiB live, 180.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041222
062228
1226219
21444201
08707195
Stop Event
iter limit
node limit
iter limit
Counts
20 → 525
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d)
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b)
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
(/.f64 #s(literal -1 binary64) c)
(neg.f64 a)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 b d))
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(/.f64 d (fma.f64 c c (*.f64 d d)))
(fma.f64 c c (*.f64 d d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.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)
Outputs
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1 binary64)) c)
(*.f64 (/.f64 (neg.f64 c) d) #s(literal -1 binary64))
(*.f64 (pow.f64 d #s(literal -1 binary64)) c)
(*.f64 #s(literal 1 binary64) (/.f64 c d))
(*.f64 (/.f64 c d) #s(literal 1 binary64))
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) d))
(*.f64 c (pow.f64 d #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) d))
(pow.f64 (/.f64 d c) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 c d) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 c) d)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 c) d) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 c) d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d c) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d c))
(/.f64 (neg.f64 c) (neg.f64 d))
(/.f64 c d)
(/.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 #s(literal -1 binary64) c))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d c)))
(neg.f64 (/.f64 (neg.f64 c) d))
(fma.f64 (/.f64 #s(literal -1 binary64) d) #s(literal 0 binary64) (/.f64 c d))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 c) d))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) #s(literal 0 binary64)) (/.f64 c d))
(+.f64 #s(literal 0 binary64) (/.f64 c d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(*.f64 (pow.f64 (/.f64 d (fma.f64 (/.f64 a d) c b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 (/.f64 a d) c b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) d) (/.f64 (fma.f64 (/.f64 a d) c b) (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 d (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 a d) c) b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) d) (pow.f64 (-.f64 (*.f64 (/.f64 a d) c) b) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) d) (pow.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (/.f64 a d) c) b) d)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 d (-.f64 (*.f64 (/.f64 a d) c) b))))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (fma.f64 (/.f64 a d) c b))
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) d)))
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(pow.f64 (/.f64 d a) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 d a) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) d)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 a) d) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 d a) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) d)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 d)) (*.f64 (neg.f64 d) a)) (*.f64 (neg.f64 d) (neg.f64 d)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d a))))
(/.f64 #s(literal 1 binary64) (/.f64 d a))
(/.f64 (neg.f64 a) (neg.f64 d))
(/.f64 a d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d a)))
(neg.f64 (/.f64 (neg.f64 a) d))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) d))
(exp.f64 (*.f64 (log.f64 (/.f64 d a)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 a d))

eval84.0ms (1.1%)

Memory
3.8MiB live, 78.2MiB allocated
Compiler

Compiled 16 795 to 1 904 computations (88.7% saved)

prune26.0ms (0.3%)

Memory
27.2MiB live, 64.5MiB allocated
Pruning

25 alts after pruning (15 fresh and 10 done)

PrunedKeptTotal
New4774481
Fresh11112
Picked235
Done077
Total48025505
Accuracy
99.7%
Counts
505 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.8%
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
34.1%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
35.3%
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
17.5%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
47.4%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d))
55.7%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
52.9%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
52.3%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
19.1%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
19.9%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
47.4%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) b)) d))
40.1%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
33.8%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) c) (pow.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) #s(literal -1 binary64))))
42.0%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
17.4%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) b))
40.0%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) b))
18.7%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
21.1%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
23.2%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
47.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
47.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
38.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
47.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
17.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
38.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* d d) (* c c))) d) (/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))))
Compiler

Compiled 1 842 to 632 computations (65.7% saved)

regimes68.0ms (0.9%)

Memory
-2.3MiB live, 114.4MiB allocated
Counts
43 → 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))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) b))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) 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 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
#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 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (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 (/.f64 a d) c b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#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)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a 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))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (fma.f64 (/.f64 a b) (/.f64 c d) #s(literal 1 binary64)) b)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* d d) (* c c))) d) (/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 (-.f64 b (*.f64 (*.f64 d (/.f64 d (*.f64 c c))) b)) c) c)) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d))
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 d b) (*.f64 c a))))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) c) (pow.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) #s(literal -1 binary64))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a 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))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
Calls

5 calls:

17.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
14.0ms
b
12.0ms
d
11.0ms
a
11.0ms
c
Results
AccuracySegmentsBranch
68.1%4a
66.0%3b
87.4%5c
81.5%4d
73.8%3(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes19.0ms (0.3%)

Memory
-20.5MiB live, 17.4MiB allocated
Counts
35 → 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))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) b))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) 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 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
#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 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (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 (/.f64 a d) c b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#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)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a 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:

17.0ms
c
Results
AccuracySegmentsBranch
87.4%5c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes11.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
33 → 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))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) b))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) 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 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
#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 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (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 (/.f64 a d) c b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#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)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
Outputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a 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:

9.0ms
c
Results
AccuracySegmentsBranch
87.4%5c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes10.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
32 → 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))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) b))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) 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 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
#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 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (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 (/.f64 a d) c b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#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)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
Outputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
Calls

1 calls:

9.0ms
c
Results
AccuracySegmentsBranch
81.9%3c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes34.0ms (0.5%)

Memory
-34.1MiB live, 13.6MiB allocated
Counts
27 → 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))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) b))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) 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 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
#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 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (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 (/.f64 a d) c b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
Outputs
#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 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Calls

1 calls:

33.0ms
c
Results
AccuracySegmentsBranch
81.9%3c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes8.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
26 → 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))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) b))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) 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 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
#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 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (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 (/.f64 a d) c b) 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

1 calls:

7.0ms
c
Results
AccuracySegmentsBranch
81.2%3c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes18.0ms (0.2%)

Memory
-6.9MiB live, 28.9MiB allocated
Counts
24 → 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))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) b))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) 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 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
#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 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (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))
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

2 calls:

10.0ms
d
7.0ms
c
Results
AccuracySegmentsBranch
74.6%4d
78.6%4c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes22.0ms (0.3%)

Memory
-1.7MiB live, 35.0MiB allocated
Counts
23 → 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))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) b))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) 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 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
#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 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.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 (/ (+ (* 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 b d))
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

3 calls:

8.0ms
d
6.0ms
c
6.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
69.3%4d
57.9%4(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
73.3%5c
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
c
Results
AccuracySegmentsBranch
73.2%5c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes6.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
17 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) b))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (* (/ -1 d) (neg c)) a) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) 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 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

1 calls:

5.0ms
c
Results
AccuracySegmentsBranch
70.1%4c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes7.0ms (0.1%)

Memory
-23.9MiB live, 12.4MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) b))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
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:

6.0ms
c
Results
AccuracySegmentsBranch
67.9%3c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes6.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
b
1.0ms
c
1.0ms
d
1.0ms
a
1.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
47.7%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
47.7%1b
47.7%1a
47.7%1d
47.7%1c
Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch51.0ms (0.7%)

Memory
10.1MiB live, 95.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.3522273701970147e+113
2.369288633468539e+128
11.0ms
9.321442112637708e-104
1.6368801119233328e-102
3.0ms
-6.1909738319028305e-146
-5.211289837269388e-146
15.0ms
-2.4345458679542824e+28
-8.988244070006152e+27
Samples
32.0ms384×0valid
Compiler

Compiled 963 to 684 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (42.2% of total)
ival-div: 8.0ms (37.5% of total)
ival-add: 3.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
-34.0MiB live, 5.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
1.3522273701970147e+113
2.369288633468539e+128
1.0ms
9.321442112637708e-104
1.6368801119233328e-102
0.0ms
-6.1909738319028305e-146
-5.211289837269388e-146
1.0ms
-2.4345458679542824e+28
-8.988244070006152e+27
Compiler

Compiled 933 to 669 computations (28.3% saved)

bsearch3.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.3522273701970147e+113
2.369288633468539e+128
1.0ms
9.321442112637708e-104
1.6368801119233328e-102
0.0ms
-6.1909738319028305e-146
-5.211289837269388e-146
1.0ms
-2.4345458679542824e+28
-8.988244070006152e+27
Compiler

Compiled 906 to 642 computations (29.1% saved)

bsearch17.0ms (0.2%)

Memory
13.6MiB live, 13.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.413861098018148e-81
2.845799010850688e-76
0.0ms
-6.1909738319028305e-146
-5.211289837269388e-146
Samples
9.0ms144×0valid
Compiler

Compiled 546 to 370 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (54.9% of total)
ival-div: 1.0ms (18.3% of total)
ival-add: 1.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.4%)

Memory
17.5MiB live, 17.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
9.527236953634424e-67
4.429311661212689e-56
8.0ms
-4.0738932727486796e+30
-1.1424328907341647e+30
Samples
15.0ms240×0valid
Compiler

Compiled 738 to 498 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (64.6% of total)
ival-add: 2.0ms (21.5% of total)
ival-div: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.527236953634424e-67
4.429311661212689e-56
1.0ms
-4.0738932727486796e+30
-1.1424328907341647e+30
Compiler

Compiled 738 to 498 computations (32.5% saved)

bsearch45.0ms (0.6%)

Memory
-3.8MiB live, 34.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.351759728224829e+105
1.8207902336436087e+111
1.0ms
3.413861098018148e-81
2.845799010850688e-76
27.0ms
-6.944561326826233e+81
-8.379140747334667e+80
Samples
16.0ms240×0valid
Compiler

Compiled 987 to 702 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (62.3% of total)
ival-add: 2.0ms (20.8% of total)
ival-div: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.5%)

Memory
-29.2MiB live, 22.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.351759728224829e+105
1.8207902336436087e+111
10.0ms
1.3762603870815916e-99
6.525585410094298e-99
8.0ms
-1.4375101051183165e-165
-5.768968208457608e-166
16.0ms
-1.4857980991391144e+37
-6.040071465338303e+36
Samples
24.0ms256×0valid
Compiler

Compiled 1 023 to 733 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 14.0ms (79.7% of total)
ival-add: 2.0ms (11.4% of total)
ival-div: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Memory
5.9MiB live, 44.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.3522273701970147e+113
2.369288633468539e+128
11.0ms
7.638044283969925e-177
1.0990832845033768e-174
1.0ms
-1.4375101051183165e-165
-5.768968208457608e-166
1.0ms
-1.4857980991391144e+37
-6.040071465338303e+36
Samples
18.0ms256×0valid
Compiler

Compiled 1 233 to 855 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (68.9% of total)
ival-add: 2.0ms (17.2% of total)
ival-div: 1.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.527236953634424e-67
4.429311661212689e-56
1.0ms
-1.4375101051183165e-165
-5.768968208457608e-166
5.0ms
-4.0738932727486796e+30
-1.1424328907341647e+30
Samples
3.0ms48×0valid
Compiler

Compiled 848 to 608 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (52.9% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Memory
-17.7MiB live, 19.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
9.527236953634424e-67
4.429311661212689e-56
20.0ms
-5.211289837269388e-146
-3.698477740801105e-156
Samples
15.0ms160×0valid
Compiler

Compiled 778 to 578 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 8.0ms (76.3% of total)
ival-div: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify78.0ms (1.1%)

Memory
22.8MiB live, 60.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251018
11481018
21561018
31681018
41831018
51961018
62181018
73371018
839381018
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 c #s(literal -23999999999999998119878066176 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) (if (<=.f64 c #s(literal -6748370691814795/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 5446933336589573/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d)) (if (<=.f64 c #s(literal 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408 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))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))))))
(if (<=.f64 c #s(literal -23999999999999998119878066176 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 c #s(literal -6748370691814795/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 5446933336589573/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d)) (if (<=.f64 c #s(literal 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408 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 -23999999999999998119878066176 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 c #s(literal -6748370691814795/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 5446933336589573/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 c #s(literal 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408 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 -6748370691814795/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 c #s(literal 4562960586989249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))))
(if (<=.f64 c #s(literal -2299999999999999961292144115712 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 4052723123306067/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a 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 -2299999999999999961292144115712 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 4052723123306067/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 -850000000000000006808202079305946019187797140269608897265065270888982404183097344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 4562960586989249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 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 3899999999999999845781402212815374973684348478839857310035629959703889470151907980744805297207052208470753280 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -14499999999999998917998787141981700096 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -2904660898216695/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (if (<=.f64 c #s(literal 4432725697094379/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 3899999999999999845781402212815374973684348478839857310035629959703889470151907980744805297207052208470753280 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))))
(if (<=.f64 c #s(literal -14499999999999998917998787141981700096 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -2904660898216695/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (if (<=.f64 c #s(literal 4678283836429009/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 5300000000000000278179400419526244457657167485453707729824471738390182023571502842272965749950165282428420844405760794296320000 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 -3700000000000000158015604916224 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -2904660898216695/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) (if (<=.f64 c #s(literal 4052723123306067/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 (<=.f64 c #s(literal -5848587932906155/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 4052723123306067/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 -23999999999999998119878066176 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) (if (<=.f64 c #s(literal -6748370691814795/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 5446933336589573/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d)) (if (<=.f64 c #s(literal 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408 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))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))))))
(if (<=.f64 c #s(literal -23999999999999998119878066176 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) (if (<=.f64 c #s(literal -6748370691814795/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 5446933336589573/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d)) (if (<=.f64 c #s(literal 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))))))
(if (<=.f64 c #s(literal -23999999999999998119878066176 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 c #s(literal -6748370691814795/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 5446933336589573/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d)) (if (<=.f64 c #s(literal 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408 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 -23999999999999998119878066176 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 c #s(literal -6748370691814795/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 5446933336589573/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 c)) a b) d)) (if (<=.f64 c #s(literal 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))))
(if (<=.f64 c #s(literal -23999999999999998119878066176 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 c #s(literal -6748370691814795/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 5446933336589573/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 c #s(literal 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408 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 -23999999999999998119878066176 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 c #s(literal -6748370691814795/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 5446933336589573/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 c #s(literal 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))))
(if (<=.f64 c #s(literal -6748370691814795/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 c #s(literal 4562960586989249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))))
(if (or (<=.f64 c #s(literal -6748370691814795/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (not (<=.f64 c #s(literal 4562960586989249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)))
(if (<=.f64 c #s(literal -2299999999999999961292144115712 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 4052723123306067/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a 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 -2299999999999999961292144115712 binary64)) (not (<=.f64 c #s(literal 4052723123306067/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d)))
(if (<=.f64 c #s(literal -2299999999999999961292144115712 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 4052723123306067/115792089237316195423570985008687907853269984665640564039457584007913129639936 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 -2299999999999999961292144115712 binary64)) (not (<=.f64 c #s(literal 4052723123306067/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)))) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))
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#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 a c))

soundness1.1s (15.4%)

Memory
2.7MiB live, 680.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186593
1618583
21920559
35924557
08528512
03431449
110851402
233671350
083771282
01132
01832
15832
243532
3513132
0881828
035170
050167
1205163
21380163
08533157
029181
044171
1169171
21215171
08723171
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2 098 to 631 computations (69.9% saved)

preprocess77.0ms (1%)

Memory
7.5MiB live, 83.6MiB allocated
Compiler

Compiled 2 138 to 308 computations (85.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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