Complex division, real part

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze25.0ms (0.3%)

Memory
-4.7MiB live, 74.1MiB 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)

sample826.0ms (10.6%)

Memory
42.2MiB live, 1 455.2MiB allocated
Samples
547.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 332.0ms
ival-mult: 201.0ms (60.6% of total)
ival-add: 70.0ms (21.1% of total)
ival-div: 52.0ms (15.7% of total)
ival-true: 6.0ms (1.8% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain115.0ms (1.5%)

Memory
8.8MiB live, 131.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1160-0-(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
10-0-(+.f64 (*.f64 a c) (*.f64 b d))
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
00-0-d
00-0-(*.f64 d d)
00-0-(*.f64 c c)
00-0-(*.f64 a c)
00-0-c
00-0-b
00-0-(*.f64 b d)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/o470
(+.f64 (*.f64 a c) (*.f64 b d))overflow60
(*.f64 a c)overflow35
(*.f64 b d)overflow33
(+.f64 (*.f64 c c) (*.f64 d d))overflow119
(*.f64 c c)overflow55
(*.f64 d d)overflow75
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o420
(+.f64 (*.f64 c c) (*.f64 d d))overflow119
(*.f64 c c)overflow55
(*.f64 d d)overflow75
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n130
(+.f64 (*.f64 a c) (*.f64 b d))overflow60
(*.f64 a c)overflow35
(*.f64 b d)overflow33
/.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))underflow18
(*.f64 c c)underflow62
(*.f64 d d)underflow69
/.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)underflow39
(+.f64 (*.f64 c c) (*.f64 d d))underflow18
(*.f64 c c)underflow62
(*.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)underflow39
+.f64(+.f64 (*.f64 a c) (*.f64 b d))nan-rescue10
(*.f64 a c)overflow35
(*.f64 b d)overflow33
Confusion
Predicted +Predicted -
+1160
-0140
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11600
-00140
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0140
1115
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms512×0valid
Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (60.3% of total)
ival-add: 4.0ms (20.1% of total)
ival-div: 3.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess324.0ms (4.1%)

Memory
-18.0MiB live, 20.2MiB allocated
Algorithm
egg-herbie
Rules
2 210×times-frac
1 210×div-sub
1 068×distribute-rgt-in
1 028×distribute-lft-in
988×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060218
1132210
2209210
3377210
4914210
52299210
63076210
73886210
84759210
95156210
105284210
115444210
125444210
135480210
145496210
155496210
165856210
176830210
186982210
196994210
206998210
217006210
227014210
237014210
247122210
257170210
267170210
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 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.2%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify4.0ms (0%)

Memory
3.0MiB live, 3.0MiB 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))
Rules
12×lower-fma.f64
12×lower-fma.f32
12×lower-*.f32
lift-*.f64
lower-+.f32
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 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(*.f64 c c)
(*.f64 d d)

localize39.0ms (0.5%)

Memory
-8.4MiB live, 31.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a c)
accuracy0.0078125
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy0.21484375000000003
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy27.800667962951472
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
18.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (62% of total)
ival-add: 2.0ms (20.7% of total)
ival-div: 1.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())
Outputs
#s(alt (* b d) (taylor 0 a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ d (/ (* a c) b))) (taylor inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ d (/ (* a c) b))) (taylor inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ d (/ (* a c) b))) (taylor inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ b (/ (* a c) d))) (taylor inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ b (/ (* a c) d))) (taylor inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ b (/ (* a c) d))) (taylor inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
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#s(alt (* a c) (taylor inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
Calls

36 calls:

TimeVariablePointExpression
1.0ms
c
@0
(* a c)
1.0ms
c
@inf
(+ (* c c) (* d d))
0.0ms
a
@0
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.0ms
b
@0
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.0ms
a
@0
(+ (* a c) (* b d))

simplify187.0ms (2.4%)

Memory
-1.7MiB live, 164.2MiB allocated
Algorithm
egg-herbie
Rules
7 676×lower-fma.f64
7 676×lower-fma.f32
4 326×lower-*.f64
4 326×lower-*.f32
1 822×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861356
16181346
218921322
357631320
081851190
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (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 c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (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))
(/ 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)
(/ a 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) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* 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) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a 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 (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a 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))
(/ b 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)
(/ b 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))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
Outputs
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (*.f64 a c))
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (*.f64 a c))
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (*.f64 a c))
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (*.f64 a c))
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (*.f64 a c))
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (*.f64 a c))
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (*.f64 a c))
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (*.f64 a c))
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (*.f64 a c))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (*.f64 a c))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) c)) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) 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 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) 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 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 (fma.f64 d (/.f64 b (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c)))) d)) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) 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 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) 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 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) d)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)

rewrite465.0ms (6%)

Memory
7.9MiB live, 201.6MiB allocated
Rules
5 970×lower-fma.f64
5 970×lower-fma.f32
5 332×lower-*.f32
5 324×lower-*.f64
2 426×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
15832
243532
3507332
0876028
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 a c) (*.f64 b d))
(+.f64 (*.f64 b d) (*.f64 a c))
(+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(+.f64 (neg.f64 (*.f64 b (neg.f64 d))) (neg.f64 (*.f64 a (neg.f64 c))))
(+.f64 (neg.f64 (*.f64 a (neg.f64 c))) (neg.f64 (*.f64 b (neg.f64 d))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a c (*.f64 b d))))
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b d (*.f64 a (neg.f64 c)))))
(fma.f64 a c (*.f64 b d))
(fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 c a (*.f64 b d))
(fma.f64 c (/.f64 (*.f64 a (*.f64 a c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 c (exp.f64 (log.f64 a)) (*.f64 b d))
(fma.f64 (*.f64 a c) (/.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
(fma.f64 d (exp.f64 (log.f64 b)) (*.f64 a c))
(fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (*.f64 a (*.f64 c c)) (/.f64 a (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (*.f64 a (*.f64 a c)) (/.f64 c (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d)) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d)))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (exp.f64 (log.f64 a)) c (*.f64 b d))
(fma.f64 (exp.f64 (log.f64 b)) d (*.f64 a c))
(neg.f64 (neg.f64 (fma.f64 a c (*.f64 b d))))
(/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))
(/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 a (neg.f64 c))) (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c))))))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (-.f64 (*.f64 a c) (*.f64 b d)))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))))))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))) (fma.f64 b d (*.f64 a (neg.f64 c))))
(/.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))))
(/.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c))))))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d))))))
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c)))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c)))))) (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))
(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) #s(literal 1 binary64)) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))) #s(literal 1 binary64)) (fma.f64 b d (*.f64 a (neg.f64 c))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (-.f64 (*.f64 a c) (*.f64 b d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (neg.f64 (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d)))))
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(*.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(*.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (*.f64 b d)))) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d)))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (+.f64 c d) (-.f64 c d)))
(*.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (+.f64 c d)) (-.f64 c d))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))))
(*.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (neg.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))))
(*.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d)))))) (neg.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 d c)))) (*.f64 (+.f64 c d) (-.f64 d c)))
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 c c (*.f64 d d))) (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (fma.f64 b d (*.f64 a (neg.f64 c))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))))) (fma.f64 (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))) (-.f64 (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c)))))))
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d)))))
(exp.f64 (log.f64 (*.f64 a c)))
(exp.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 1 binary64)))
(pow.f64 (*.f64 a c) #s(literal 1 binary64))
(*.f64 a c)
(*.f64 c a)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) c)

eval59.0ms (0.8%)

Memory
-14.3MiB live, 59.0MiB allocated
Compiler

Compiled 17 374 to 1 022 computations (94.1% saved)

prune84.0ms (1.1%)

Memory
-5.8MiB live, 83.9MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New47013483
Fresh000
Picked101
Done000
Total47113484
Accuracy
99.8%
Counts
484 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.2%
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
33.2%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
22.1%
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))
39.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d)))
48.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
53.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
53.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
50.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d))
46.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c))
33.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
39.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
41.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
42.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Compiler

Compiled 446 to 234 computations (47.5% saved)

simplify404.0ms (5.2%)

Memory
31.0MiB live, 148.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d))
cost-diff128
(+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d))
cost-diff320
(fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.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 d)
cost-diff0
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
cost-diff0
(/.f64 a c)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
cost-diff0
(*.f64 a c)
cost-diff0
(fma.f64 d b (*.f64 a c))
cost-diff0
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff128
(+.f64 (*.f64 c c) (*.f64 d d))
Rules
6 896×lower-fma.f32
6 890×lower-fma.f64
2 840×lower-*.f32
2 830×lower-*.f64
1 296×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034273
054261
176261
2104256
3192251
4310251
5423251
6624251
7910251
81289251
91914251
103428251
114828251
125325251
135501251
145575251
155602251
165622251
175852251
186052251
196170251
206172251
216172251
226172251
236825251
247269251
257430251
267714251
08012248
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(fma.f64 d b (*.f64 a c))
d
b
(*.f64 a c)
a
c
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
#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 d) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(*.f64 b d)
b
d
(fma.f64 d d (*.f64 c c))
(*.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))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d))
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)
(+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d))
b
(/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)
(fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c))
(/.f64 (*.f64 c (neg.f64 c)) d)
(*.f64 c (neg.f64 c))
c
(neg.f64 c)
d
(*.f64 a c)
a
Outputs
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 a c)) (fma.f64 d d (*.f64 c c)))
(fma.f64 d b (*.f64 a c))
d
b
(*.f64 a c)
a
c
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(*.f64 d d)
#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 d) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
(*.f64 b d)
(*.f64 d b)
b
d
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 d b (*.f64 a c))
(*.f64 a c)
a
c
(*.f64 b d)
(*.f64 d b)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) (-.f64 a (*.f64 b (/.f64 c d))) b) d))
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)
(/.f64 (fma.f64 (/.f64 c d) (-.f64 a (*.f64 b (/.f64 c d))) b) d)
(+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d))
(fma.f64 (/.f64 c d) (-.f64 a (*.f64 b (/.f64 c d))) b)
b
(/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)
(*.f64 (/.f64 c d) (-.f64 a (*.f64 b (/.f64 c d))))
(fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c))
(*.f64 c (-.f64 a (*.f64 b (/.f64 c d))))
(/.f64 (*.f64 c (neg.f64 c)) d)
(*.f64 c (/.f64 c (neg.f64 d)))
(*.f64 c (neg.f64 c))
c
(neg.f64 c)
d
(*.f64 a c)
a

localize79.0ms (1%)

Memory
-7.2MiB live, 69.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy3.242894574198324
(/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)
accuracy5.897160549204277
(fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c))
accuracy7.361586586443605
(/.f64 (*.f64 c (neg.f64 c)) d)
accuracy30.654653622456582
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d))
accuracy0
(*.f64 a c)
accuracy0.21484375000000003
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy27.717070134699814
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy27.800667962951472
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy0
(*.f64 b d)
accuracy0.00390625
(fma.f64 d d (*.f64 c c))
accuracy21.54217590464213
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
accuracy28.994778682831736
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
accuracy0
(/.f64 a c)
accuracy36.78844621387856
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy0
(*.f64 a c)
accuracy0.0078125
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy0.01171875
(fma.f64 d b (*.f64 a c))
accuracy27.800667962951472
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
46.0ms256×0valid
Compiler

Compiled 242 to 27 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 10.0ms (36.2% of total)
ival-mult: 10.0ms (36.2% of total)
ival-add: 6.0ms (21.7% of total)
ival-neg: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series73.0ms (0.9%)

Memory
-8.5MiB live, 70.6MiB allocated
Counts
19 → 732
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())
#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())
#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())
#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())
#s(alt (*.f64 b d) (patch (*.f64 b d) #<representation binary64>) () ())
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) (patch (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) #<representation binary64>) () ())
#s(alt (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) (patch (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) (patch (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())
Outputs
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) (taylor 0 d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) (taylor 0 d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (/ (* a c) d)) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor inf a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor 0 d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) (taylor 0 d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) (taylor 0 d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) (taylor 0 d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d))) (taylor inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d))) (taylor inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d))) (taylor inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ())
Calls

183 calls:

TimeVariablePointExpression
5.0ms
b
@0
(+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d))
1.0ms
b
@0
(/ (* b d) (+ (* d d) (* c c)))
1.0ms
b
@inf
(/ (* b d) (+ (* d d) (* c c)))
1.0ms
a
@0
(+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d))
1.0ms
c
@0
(/ (* c (neg c)) d)

simplify261.0ms (3.3%)

Memory
-3.6MiB live, 313.2MiB allocated
Algorithm
egg-herbie
Rules
11 804×lower-fma.f64
11 804×lower-fma.f32
5 700×lower-*.f64
5 700×lower-*.f32
2 488×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04219531
113919167
243738857
081768293
Stop Event
iter limit
node limit
Counts
732 → 729
Calls
Call 1
Inputs
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ a 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))
(/ b 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)
(/ b 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))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* 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) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a 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 (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (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 c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (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))
(/ 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)
(/ a 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)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* b d)
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(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))))
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))))
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))))
(* -1 (* b (- (/ (pow c 2) (pow d 2)) 1)))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1)))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1)))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1)))
b
(+ b (/ (* a c) d))
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2)))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2))
b
(+ b (/ (* a c) d))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
b
(+ b (/ (* a c) d))
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))
(+ b (* -1 (/ (* b (pow c 2)) (pow d 2))))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(/ (* a c) d)
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (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 c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (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))
(/ 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)
(/ a 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) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* 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) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a 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 (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a 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))
(/ b 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)
(/ b 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))
(/ (* a c) (pow d 2))
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))
(/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
(* -1 (/ (* b (- (/ (pow c 2) (pow d 2)) 1)) d))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ b 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 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(/ (* a c) (pow d 2))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(* -1 (/ (pow c 2) d))
(/ (* a c) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(/ (* a c) d)
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/ (* a c) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/ (* a c) d)
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/ (* a c) d)
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
Outputs
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (/.f64 a (*.f64 c (*.f64 c (neg.f64 c)))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) 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 a d) (-.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (fma.f64 (neg.f64 c) (*.f64 c (/.f64 b (*.f64 d d))) b)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) 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 (-.f64 (*.f64 c a) (/.f64 (fma.f64 a (/.f64 (*.f64 c (*.f64 c c)) d) (*.f64 (*.f64 c c) b)) d)) d)) d)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 d (fma.f64 d d (*.f64 c c)))))
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(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (fma.f64 (neg.f64 c) (*.f64 c (/.f64 b (*.f64 d d))) b) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 (fma.f64 (neg.f64 c) (*.f64 c (/.f64 b (*.f64 d d))) b) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 (fma.f64 (neg.f64 c) (*.f64 c (/.f64 b (*.f64 d d))) b) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 (fma.f64 (neg.f64 c) (*.f64 c (/.f64 b (*.f64 d d))) b) d))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 (fma.f64 (neg.f64 c) (*.f64 c (/.f64 b (*.f64 d d))) b) d) a)))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 (fma.f64 (neg.f64 c) (*.f64 c (/.f64 b (*.f64 d d))) b) d) a)))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 (fma.f64 (neg.f64 c) (*.f64 c (/.f64 b (*.f64 d d))) b) d) a)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 (fma.f64 (neg.f64 c) (*.f64 c (/.f64 b (*.f64 d d))) b) d) a)))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 (fma.f64 (neg.f64 c) (*.f64 c (/.f64 b (*.f64 d d))) b) d) a)))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 (fma.f64 (neg.f64 c) (*.f64 c (/.f64 b (*.f64 d d))) b) d) a)))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(* -1 (/ (pow c 2) d))
(/.f64 (*.f64 c (neg.f64 c)) d)
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 c c) b) (neg.f64 (*.f64 d d)))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(*.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 d b)) (/.f64 c (*.f64 d d)))))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(*.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 d b)) (/.f64 c (*.f64 d d)))))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(*.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 d b)) (/.f64 c (*.f64 d d)))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 c c) b) (neg.f64 (*.f64 d d)))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(*.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 d b)) (/.f64 c (*.f64 d d)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(*.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 d b)) (/.f64 c (*.f64 d d)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(*.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 d b)) (/.f64 c (*.f64 d d)))))
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 c c) b) (neg.f64 (*.f64 d d)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 c c) b) (neg.f64 (*.f64 d d)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 c c) b) (neg.f64 (*.f64 d d)))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/.f64 (*.f64 c (-.f64 (*.f64 d a) (*.f64 c b))) (*.f64 d d))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/.f64 (*.f64 c (-.f64 (*.f64 d a) (*.f64 c b))) (*.f64 d d))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/.f64 (*.f64 c (-.f64 (*.f64 d a) (*.f64 c b))) (*.f64 d d))
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/.f64 (*.f64 (*.f64 c c) b) (neg.f64 (*.f64 d d)))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 (*.f64 d d) a))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 (*.f64 d d) a))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 (*.f64 d d) a))))
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 (*.f64 d d) a))))
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 (*.f64 d d) a))))
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 (*.f64 d d) a))))

rewrite256.0ms (3.3%)

Memory
39.2MiB live, 230.7MiB allocated
Rules
6 054×lower-fma.f32
6 048×lower-fma.f64
4 834×lower-/.f32
4 820×lower-/.f64
4 104×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034229
054217
1201217
21420217
08296217
Stop Event
iter limit
node limit
iter limit
Counts
19 → 720
Calls
Call 1
Inputs
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(fma.f64 d b (*.f64 a c))
(*.f64 a 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 d) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(*.f64 b d)
(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)))
(fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c))
(+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d))
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(/.f64 (*.f64 c (neg.f64 c)) d)
(/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)
Outputs
(+.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 d d) (*.f64 c c))
(+.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(+.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (neg.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c)))))
(-.f64 (*.f64 d d) (*.f64 c (neg.f64 c)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d))))
(-.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))
(-.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64)))
(fma.f64 c c (*.f64 d d))
(fma.f64 (*.f64 c c) #s(literal 1 binary64) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 (neg.f64 c) (neg.f64 c) (*.f64 d d))
(fma.f64 (neg.f64 d) (neg.f64 d) (*.f64 c c))
(fma.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (*.f64 d (*.f64 d (*.f64 d d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))) (neg.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 #s(literal 1 binary64) (*.f64 c c) (*.f64 d d))
(fma.f64 #s(literal 1 binary64) (*.f64 d d) (*.f64 c c))
(fma.f64 #s(literal -1 binary64) (*.f64 c (neg.f64 c)) (*.f64 d d))
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d))
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c))
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (*.f64 c (*.f64 c c)) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c c) (+.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
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(*.f64 (/.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)) d) (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)) (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a))))
(*.f64 (neg.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d))) (/.f64 #s(literal -1 binary64) d))
(*.f64 (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))))))
(*.f64 (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))) d)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)) d))
(*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)) (neg.f64 d)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d))))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (*.f64 d (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)) d)))
(*.f64 (/.f64 (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d)))) d) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)))))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a)))) d) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a))))
(*.f64 (pow.f64 (/.f64 d (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)))))
(*.f64 (pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a))))
(*.f64 (/.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))) d) (/.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)))))
(*.f64 (pow.f64 (/.f64 d (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d))) #s(literal -1/2 binary64)))

eval208.0ms (2.7%)

Memory
-6.2MiB live, 225.6MiB allocated
Compiler

Compiled 40 200 to 2 167 computations (94.6% saved)

prune198.0ms (2.5%)

Memory
-4.5MiB live, 237.8MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1 517141 531
Fresh538
Picked325
Done000
Total1 525191 544
Accuracy
99.8%
Counts
1 544 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.2%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
22.1%
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))
17.1%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
26.5%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
53.4%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
52.5%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))
49.5%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) d))
45.5%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 d b) (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c))
41.4%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
53.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
33.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
39.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
23.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
42.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
34.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d)))))
20.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d)))))
17.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c)))))
Compiler

Compiled 527 to 285 computations (45.9% saved)

simplify301.0ms (3.9%)

Memory
4.0MiB live, 233.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 b c)
cost-diff0
(fma.f64 d (/.f64 b c) a)
cost-diff0
(/.f64 (fma.f64 d (/.f64 b c) a) c)
cost-diff0
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
cost-diff0
(/.f64 (*.f64 c a) d)
cost-diff0
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))
cost-diff0
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
cost-diff0
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
cost-diff0
(*.f64 c a)
cost-diff0
#s(approx (+ (* a c) (* b d)) (*.f64 c a))
cost-diff0
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff0
(/.f64 b d)
cost-diff0
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
cost-diff0
(/.f64 c d)
cost-diff0
(fma.f64 a (/.f64 c d) b)
cost-diff0
(/.f64 (fma.f64 a (/.f64 c d) b) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Rules
9 520×lower-fma.f32
9 516×lower-fma.f64
2 360×lower-*.f32
2 356×lower-*.f64
1 924×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040264
054264
183264
2110258
3197255
4314255
5425255
6627255
7913255
81257255
91707255
103288255
114278255
124916255
135095255
145130255
155155255
165691255
175952255
186040255
196348255
207038255
217654255
08379240
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
d
b
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 c a))
(*.f64 c a)
c
a
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))
(/.f64 (*.f64 c a) d)
(*.f64 c a)
c
a
d
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 d (/.f64 b c) a)
d
(/.f64 b c)
b
c
a
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
d
b
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 c a))
#s(approx (+ (* a c) (* b d)) (*.f64 a c))
(*.f64 c a)
(*.f64 a c)
c
a
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 a (/.f64 c d))) d))
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 a (/.f64 c d))) d)
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 a (/.f64 c d)))
(/.f64 (*.f64 c a) d)
(*.f64 a (/.f64 c d))
(*.f64 c a)
(*.f64 a c)
c
a
d
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 d (/.f64 b c) a)
(fma.f64 b (/.f64 d c) a)
d
(/.f64 b c)
b
c
a

localize108.0ms (1.4%)

Memory
6.1MiB live, 145.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 b c)
accuracy0.05078125
(/.f64 (fma.f64 d (/.f64 b c) a) c)
accuracy2.1622686312195345
(fma.f64 d (/.f64 b c) a)
accuracy29.599598333670393
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
accuracy1.2302429992822497
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)
accuracy4.779152374160912
(/.f64 (*.f64 c a) d)
accuracy30.654653622456582
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
accuracy41.64604603203479
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))
accuracy0
(*.f64 c a)
accuracy27.717070134699814
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy27.800667962951472
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy28.642499270107468
#s(approx (+ (* a c) (* b d)) (*.f64 c a))
accuracy0
(/.f64 b d)
accuracy37.503507955773834
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy0
(/.f64 c d)
accuracy1.0053892360604815
(/.f64 (fma.f64 a (/.f64 c d) b) d)
accuracy2.929322820321315
(fma.f64 a (/.f64 c d) b)
accuracy29.66421509539909
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Samples
79.0ms256×0valid
Compiler

Compiled 195 to 35 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 24.0ms (48.8% of total)
ival-mult: 14.0ms (28.5% of total)
ival-add: 9.0ms (18.3% of total)
ival-neg: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series59.0ms (0.8%)

Memory
2.3MiB live, 77.0MiB allocated
Counts
18 → 732
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 a (/.f64 c d) b) d) (patch (/.f64 (fma.f64 a (/.f64 c d) b) d) #<representation binary64>) () ())
#s(alt (fma.f64 a (/.f64 c d) b) (patch (fma.f64 a (/.f64 c d) b) #<representation binary64>) () ())
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())
#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #<representation binary64>) () ())
#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())
#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())
#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())
Outputs
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) (taylor inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor 0 b) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor inf b) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor -inf b) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) (taylor 0 d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) (taylor 0 d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (/ (* a c) d)) d) (taylor inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) (taylor inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) (taylor inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a (/.f64 c d) b) d) (patch (/.f64 (fma.f64 a (/.f64 c d) b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a (/.f64 c d) b) d) (patch (/.f64 (fma.f64 a (/.f64 c d) b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a (/.f64 c d) b) d) (patch (/.f64 (fma.f64 a (/.f64 c d) b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 a (/.f64 c d) b) d) (patch (/.f64 (fma.f64 a (/.f64 c d) b) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor inf a) (#s(alt (/.f64 (fma.f64 a (/.f64 c d) b) d) (patch (/.f64 (fma.f64 a (/.f64 c d) b) d) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ b (* a d)) (/ c (pow d 2)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a (/.f64 c d) b) d) (patch (/.f64 (fma.f64 a (/.f64 c d) b) d) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ b (* a d)) (/ c (pow d 2)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a (/.f64 c d) b) d) (patch (/.f64 (fma.f64 a (/.f64 c d) b) d) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ b (* a d)) (/ c (pow d 2)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 a (/.f64 c d) b) d) (patch (/.f64 (fma.f64 a (/.f64 c d) b) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a (/.f64 c d) b) d) (patch (/.f64 (fma.f64 a (/.f64 c d) b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 a (/.f64 c d) b) d) (patch (/.f64 (fma.f64 a (/.f64 c d) b) d) #<representation binary64>) () ())) ())
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#s(alt (/ a c) (taylor inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor 0 d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor 0 d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor 0 d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) c) (taylor inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* d (+ (/ a d) (/ b c))) (taylor inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* d (+ (/ a d) (/ b c))) (taylor inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* d (+ (/ a d) (/ b c))) (taylor inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) c) (taylor -inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor 0 b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor 0 b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor 0 b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) c) (taylor inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ a b) (/ d c))) (taylor inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ a b) (/ d c))) (taylor inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ a b) (/ d c))) (taylor inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) c) (taylor -inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) (taylor -inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) (taylor -inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) (taylor -inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) c) (taylor 0 c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt a (taylor inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor -inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor -inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor -inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) c) (taylor 0 a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor 0 a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor 0 a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (+ a (/ (* b d) c)) (taylor 0 a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ (* b d) (* a c)))) (taylor inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ (* b d) (* a c)))) (taylor inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ (* b d) (* a c)))) (taylor inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) (taylor -inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) (taylor -inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) (taylor -inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ())
Calls

183 calls:

TimeVariablePointExpression
5.0ms
c
@0
(/ (* c a) d)
1.0ms
d
@inf
(/ (+ (* d (/ b c)) a) c)
1.0ms
d
@-inf
(/ (+ (* a (/ c d)) b) d)
1.0ms
c
@-inf
(/ (+ (* d (/ b c)) a) c)
0.0ms
d
@inf
(/ (+ (* a (/ c d)) b) d)

simplify368.0ms (4.7%)

Memory
-14.5MiB live, 329.2MiB allocated
Algorithm
egg-herbie
Rules
11 710×lower-fma.f64
11 710×lower-fma.f32
5 408×lower-*.f64
5 408×lower-*.f32
2 440×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03828701
113158495
243288169
082227615
Stop Event
iter limit
node limit
Counts
732 → 717
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))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (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 c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (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))
(/ 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)
(/ a 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) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* 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) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a 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 (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a 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))
(/ b 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)
(/ b 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))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
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(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(/ (* a c) (pow d 2))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(/ (* a c) d)
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d))
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d))
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d))
(* b (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))))
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))))
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))))
(* -1 (* b (- (/ (pow c 2) (pow d 2)) 1)))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1)))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1)))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1)))
b
(+ b (/ (* a c) d))
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2)))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2))
b
(+ b (/ (* a c) d))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
b
(+ b (/ (* a c) d))
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))
(+ b (* -1 (/ (* b (pow c 2)) (pow d 2))))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(/ (* a c) d)
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ a 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))
(/ b 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)
(/ b 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))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* 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) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a 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 (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (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 c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (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))
(/ 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)
(/ a 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)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(/ (* b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(/ (* b d) c)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(/ (* b d) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 b (*.f64 d (neg.f64 d))) b) d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (fma.f64 a (*.f64 d (/.f64 d (neg.f64 c))) (*.f64 b d)) c)) 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 b c) (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (-.f64 a (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c)))) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (fma.f64 a (*.f64 d (/.f64 d (neg.f64 c))) (*.f64 b d)) 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 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 (*.f64 d d) a)) c)) c)) c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 d (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
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(/.f64 (*.f64 b d) c)
(* d (+ (/ a d) (/ b c)))
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))
(* d (+ (/ a d) (/ b c)))
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))
(* d (+ (/ a d) (/ b c)))
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))
a
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(* b (+ (/ a b) (/ d c)))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(* b (+ (/ a b) (/ d c)))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(* b (+ (/ a b) (/ d c)))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c)))
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 b d (*.f64 c a)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 b d (*.f64 c a)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 b d (*.f64 c a)) c)
a
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
a
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
a
(* a (+ 1 (/ (* b d) (* a c))))
(fma.f64 b (*.f64 (/.f64 d (*.f64 c a)) a) a)
(* a (+ 1 (/ (* b d) (* a c))))
(fma.f64 b (*.f64 (/.f64 d (*.f64 c a)) a) a)
(* a (+ 1 (/ (* b d) (* a c))))
(fma.f64 b (*.f64 (/.f64 d (*.f64 c a)) a) a)
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(fma.f64 (neg.f64 a) (/.f64 (*.f64 b d) (*.f64 c (neg.f64 a))) a)
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(fma.f64 (neg.f64 a) (/.f64 (*.f64 b d) (*.f64 c (neg.f64 a))) a)
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(fma.f64 (neg.f64 a) (/.f64 (*.f64 b d) (*.f64 c (neg.f64 a))) a)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)

rewrite404.0ms (5.2%)

Memory
-4.0MiB live, 251.9MiB allocated
Rules
5 356×lower-/.f32
5 340×lower-/.f64
5 258×lower-fma.f32
5 254×lower-fma.f64
4 108×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040243
054243
1239243
21711243
08288228
Stop Event
iter limit
node limit
iter limit
Counts
18 → 320
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
(/.f64 c d)
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 c a))
(*.f64 c a)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))
(/.f64 (*.f64 c a) d)
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 d (/.f64 b c) a)
(/.f64 b c)
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 d)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (*.f64 c (/.f64 a d)) b)) d) (/.f64 (/.f64 (*.f64 b b) (-.f64 (*.f64 c (/.f64 a d)) b)) d))
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 d (-.f64 (*.f64 c (/.f64 a d)) b))) (/.f64 (*.f64 b b) (*.f64 d (-.f64 (*.f64 c (/.f64 a d)) b))))
(neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 d)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(/.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (*.f64 d (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))) (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (-.f64 (*.f64 c (/.f64 a d)) b)) (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) d) (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 c (/.f64 a d)) b) d) (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 c (/.f64 a d)) b) (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))))
(/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (*.f64 d (-.f64 (*.f64 c (/.f64 a d)) b)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) d))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 c (/.f64 a d)) b) d))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (/.f64 c d) b))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))) (neg.f64 (*.f64 d (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b))) (neg.f64 (*.f64 d (-.f64 (*.f64 c (/.f64 a d)) b))))
(/.f64 (*.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64)) d)
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d)) (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) d)) (-.f64 (*.f64 c (/.f64 a d)) b))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) d)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 c (/.f64 a d)) b) d)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)))) (neg.f64 (neg.f64 (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d))) (neg.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) d))) (neg.f64 (-.f64 (*.f64 c (/.f64 a d)) b)))
(pow.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal -1 binary64))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 (-.f64 (*.f64 c (/.f64 a d)) b) (-.f64 (*.f64 c (/.f64 a d)) b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 a (/.f64 c d) b))
(*.f64 (pow.f64 (/.f64 d (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(*.f64 (pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c (/.f64 a d)) b)))
(*.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) d) (/.f64 (fma.f64 a (/.f64 c d) b) (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(+.f64 b (*.f64 c (/.f64 a d)))
(+.f64 (*.f64 c (/.f64 a d)) b)
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (*.f64 c (/.f64 a d)) b)) (/.f64 (*.f64 b b) (-.f64 (*.f64 c (/.f64 a d)) b)))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (*.f64 c (/.f64 a d)))) (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 b (*.f64 c (/.f64 a d)))))
(fma.f64 a (/.f64 c d) b)
(fma.f64 c (/.f64 a d) b)
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b)
(fma.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) d) b)
(fma.f64 (/.f64 c d) a b)
(fma.f64 (*.f64 a (neg.f64 c)) (/.f64 #s(literal 1 binary64) (neg.f64 d)) b)
(fma.f64 #s(literal 1 binary64) (*.f64 c (/.f64 a d)) b)
(fma.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 a c) b)
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)) b)
(fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a (/.f64 #s(literal 1 binary64) c)) b)
(fma.f64 (/.f64 a d) c b)
(fma.f64 (/.f64 a d) (/.f64 c #s(literal 1 binary64)) b)
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d) b)
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) d) b)
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 a) d) b)
(fma.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 c d) b)
(/.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))
(/.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (fma.f64 b b (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a d)) (*.f64 a c)) (*.f64 (*.f64 a c) b)) d)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a d)) (*.f64 a c)) (*.f64 (*.f64 a c) b)) d)) (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (*.f64 c (/.f64 a d))) (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b))))
(/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (-.f64 (*.f64 c (/.f64 a d)) b))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 b b (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a d)) (*.f64 a c)) (*.f64 (*.f64 a c) b)) d))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b))) (neg.f64 (-.f64 (*.f64 c (/.f64 a d)) b)))
(/.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) (-.f64 b (*.f64 c (/.f64 a d))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (*.f64 c (/.f64 a d)) b)) (*.f64 (-.f64 (*.f64 c (/.f64 a d)) b) (*.f64 b b))) (*.f64 (-.f64 (*.f64 c (/.f64 a d)) b) (-.f64 (*.f64 c (/.f64 a d)) b)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))))
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(/.f64 (*.f64 (fma.f64 b (/.f64 d c) a) #s(literal 1 binary64)) c)
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(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) c)) (-.f64 (/.f64 (*.f64 b d) c) a))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))) c)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)))) (neg.f64 (neg.f64 (neg.f64 c))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (/.f64 d c) a) #s(literal 1 binary64))) (neg.f64 c))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) c))) (neg.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) c))) (neg.f64 (-.f64 (/.f64 (*.f64 b d) c) a)))
(pow.f64 (/.f64 c (fma.f64 b (/.f64 d c) a)) #s(literal -1 binary64))
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) (-.f64 (/.f64 (*.f64 b d) c) a)))
(*.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (/.f64 #s(literal 1 binary64) (neg.f64 c)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 b (/.f64 d c) a))
(*.f64 (pow.f64 (/.f64 c (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)))))
(*.f64 (pow.f64 (/.f64 c (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b d) c) a)))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (fma.f64 b (/.f64 d c) a) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))) c) (/.f64 (fma.f64 b (/.f64 d c) a) (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)))))
(+.f64 a (/.f64 (*.f64 b d) c))
(+.f64 (/.f64 (*.f64 b d) c) a)
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b (/.f64 d c) a) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 b d) c) a)))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (/.f64 (*.f64 b d) c))) (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 a (/.f64 (*.f64 b d) c))))
(fma.f64 b (/.f64 d c) a)
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) c) d) a)
(fma.f64 d (/.f64 b c) a)
(fma.f64 (*.f64 b d) (/.f64 #s(literal 1 binary64) c) a)
(fma.f64 (/.f64 b c) d a)
(fma.f64 (/.f64 d c) (/.f64 (neg.f64 b) #s(literal -1 binary64)) a)
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 d (/.f64 #s(literal 1 binary64) b)) a)
(fma.f64 (/.f64 (neg.f64 b) c) (/.f64 d #s(literal -1 binary64)) a)
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 d c) a)
(fma.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 b) c) a)
(/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) #s(literal -1 binary64))
(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))) (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))))
(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))) (fma.f64 a a (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b d) c) (*.f64 b d)) (*.f64 (*.f64 b d) a)) c)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b d) c) (*.f64 b d)) (*.f64 (*.f64 b d) a)) c)) (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a)) (-.f64 (/.f64 (*.f64 b d) c) a))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c))))) (neg.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c))))) (neg.f64 (fma.f64 a a (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b d) c) (*.f64 b d)) (*.f64 (*.f64 b d) a)) c))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a))) (neg.f64 (-.f64 (/.f64 (*.f64 b d) c) a)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (/.f64 d c) a))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))) (-.f64 a (/.f64 (*.f64 b d) c)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) (*.f64 (-.f64 (/.f64 (*.f64 b d) c) a) (*.f64 a a))) (*.f64 (-.f64 (/.f64 (*.f64 b d) c) a) (-.f64 (/.f64 (*.f64 b d) c) a)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 b d) c) a))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)))) (neg.f64 (-.f64 a (/.f64 (*.f64 b d) c))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 b d) c) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) (fma.f64 (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 b d) c) a)) (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 b d) c) a)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 b d) c) a))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a)) #s(literal -1 binary64))
(*.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b d) c) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 b (neg.f64 c)))
(neg.f64 (/.f64 b (neg.f64 c)))
(neg.f64 (/.f64 (neg.f64 b) c))
(/.f64 b c)
(/.f64 (neg.f64 b) (neg.f64 c))
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c b))))
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 c (/.f64 (neg.f64 b) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c b)))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 c)))
(/.f64 (*.f64 b #s(literal 1 binary64)) c)
(/.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) c)
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 c))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 c))))
(/.f64 (neg.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64))) (neg.f64 c))
(pow.f64 (/.f64 c b) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 c)))
(*.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 b #s(literal -1 binary64)))

eval128.0ms (1.6%)

Memory
20.5MiB live, 178.4MiB allocated
Compiler

Compiled 16 374 to 1 069 computations (93.5% saved)

prune176.0ms (2.3%)

Memory
-34.7MiB live, 168.8MiB allocated
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New1 050131 063
Fresh4812
Picked235
Done022
Total1 056261 082
Accuracy
99.8%
Counts
1 082 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.2%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
22.1%
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))
17.1%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
39.3%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
19.6%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
26.5%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
53.4%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
52.5%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))
49.7%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 b d) c) a) c))
49.5%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) d))
17.8%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
41.4%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
41.3%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
53.2%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)))
41.3%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
44.7%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (fma.f64 a (/.f64 (*.f64 b d) (*.f64 c (*.f64 c a))) (/.f64 a c))))
33.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
24.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d))
24.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d))
23.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d))
23.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a (/.f64 #s(literal 1 binary64) c)))) d))
42.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
20.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
17.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c)))))
Compiler

Compiled 671 to 370 computations (44.9% saved)

simplify265.0ms (3.4%)

Memory
18.9MiB live, 180.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c)))
cost-diff0
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d))
cost-diff384
(/.f64 a (/.f64 d c))
cost-diff0
(/.f64 (*.f64 b d) c)
cost-diff0
#s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c))
cost-diff0
(/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)
cost-diff0
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
cost-diff0
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
cost-diff0
(*.f64 d b)
cost-diff0
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
cost-diff0
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
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) a))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
cost-diff0
(/.f64 d c)
cost-diff0
(fma.f64 b (/.f64 d c) a)
cost-diff0
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)))
cost-diff320
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
Rules
4 464×lower-fma.f32
4 462×lower-fma.f64
2 228×lower-*.f32
2 218×lower-*.f64
1 750×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046306
060303
195295
2135289
3272286
4455286
5777286
61348286
71900286
82692286
93596286
104818286
115895286
126218286
136311286
146342286
156850286
167179286
177622286
187864286
08066271
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
(fma.f64 b (/.f64 d c) a)
b
(/.f64 d c)
d
c
a
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
c
a
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
d
b
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)
#s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c))
(/.f64 (*.f64 b d) c)
(*.f64 b d)
b
d
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d))
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c)))
(/.f64 a (/.f64 d c))
a
(/.f64 d c)
d
c
Outputs
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) a)
b
(/.f64 d c)
d
c
a
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 a c)
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
c
a
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
d
b
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 d b) c)) c))
(/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)
(/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 d b) c)) c)
#s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c))
#s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 d b) c))
(/.f64 (*.f64 b d) c)
(/.f64 (*.f64 d b) c)
(*.f64 b d)
(*.f64 d b)
b
d
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 a (/.f64 c d))) d))
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 a (/.f64 c d))) d)
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c)))
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 a (/.f64 c d)))
(/.f64 a (/.f64 d c))
(*.f64 a (/.f64 c d))
a
(/.f64 d c)
d
c

localize134.0ms (1.7%)

Memory
10.0MiB live, 161.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.2302429992822497
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)
accuracy5.869155888509853
(/.f64 a (/.f64 d c))
accuracy30.654653622456582
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d))
accuracy41.64604603203479
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c)))
accuracy0.05078125
(/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)
accuracy6.889432620699802
(/.f64 (*.f64 b d) c)
accuracy29.599598333670393
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
accuracy33.30927481935001
#s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c))
accuracy0
(*.f64 c c)
accuracy27.717070134699814
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy27.800667962951472
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy31.32298014546544
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy0
(/.f64 #s(literal 1 binary64) c)
accuracy0.1953125
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
accuracy36.78844621387856
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
accuracy0
(/.f64 #s(literal 1 binary64) c)
accuracy0.1953125
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
accuracy3.6027287865764386
(fma.f64 b (/.f64 d c) a)
accuracy29.599598333670393
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)))
Samples
60.0ms256×0valid
Compiler

Compiled 212 to 37 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 16.0ms (37.7% of total)
ival-mult: 16.0ms (37.7% of total)
ival-add: 9.0ms (21.2% of total)
ival-neg: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
6.2MiB live, 78.8MiB allocated
Counts
20 → 768
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))) (patch #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))) #<representation binary64>) () ())
#s(alt (fma.f64 b (/.f64 d c) a) (patch (fma.f64 b (/.f64 d c) a) #<representation binary64>) () ())
#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())
#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) (patch #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c) (patch (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c) #<representation binary64>) () ())
#s(alt #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) (patch #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 b d) c) (patch (/.f64 (*.f64 b d) c) #<representation binary64>) () ())
#s(alt (/.f64 a (/.f64 d c)) (patch (/.f64 a (/.f64 d c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d) (patch (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d) #<representation binary64>) () ())
#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())
Outputs
#s(alt (/ a c) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ a (* b c)) (/ d (pow c 2)))) (taylor inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ a (* b c)) (/ d (pow c 2)))) (taylor inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ a (* b c)) (/ d (pow c 2)))) (taylor inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor -inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) (taylor -inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) (taylor -inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) (taylor -inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* d (+ (/ a (* c d)) (/ b (pow c 2)))) (taylor inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* d (+ (/ a (* c d)) (/ b (pow c 2)))) (taylor inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* d (+ (/ a (* c d)) (/ b (pow c 2)))) (taylor inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor -inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ())
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#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) (taylor 0 d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) (taylor 0 d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (/ (* a c) d)) d) (taylor inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) (taylor inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) (taylor inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
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#s(alt (* a c) (taylor inf a) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) (taylor -inf a) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor 0 d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt b (taylor inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) (taylor inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) (taylor inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))) (taylor -inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))) (taylor -inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) (taylor 0 a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) (taylor 0 a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) (taylor 0 a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) (taylor inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) (taylor inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) (taylor inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) (taylor -inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) (taylor -inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) (taylor -inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
Calls

192 calls:

TimeVariablePointExpression
4.0ms
c
@inf
(/ (* b d) c)
0.0ms
c
@-inf
(/ d c)
0.0ms
c
@0
(/ d c)
0.0ms
c
@-inf
(/ 1 c)
0.0ms
d
@-inf
(/ d c)

simplify337.0ms (4.3%)

Memory
6.2MiB live, 415.8MiB allocated
Algorithm
egg-herbie
Rules
11 374×lower-fma.f64
11 374×lower-fma.f32
5 282×lower-*.f64
5 282×lower-*.f32
2 384×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03548866
111998660
239028328
083707768
Stop Event
iter limit
node limit
Counts
768 → 753
Calls
Call 1
Inputs
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/ a 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))
(/ b 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)
(/ b 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))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* 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) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a 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 (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (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 c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (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))
(/ 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)
(/ a 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
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(/ (* b d) c)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(/ (* b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* b d) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (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 c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (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))
(/ 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)
(/ a 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) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* 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) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a 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 (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
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(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2)))
(/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))))
(* -1 (/ (* b (- (/ (pow c 2) (pow d 2)) 1)) d))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ b 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 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2))))
(/ (* a c) (pow d 2))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2)))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a)))))
(/ (* a c) d)
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d))
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d))
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d))
(* b (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))))
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))))
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))))
(* -1 (* b (- (/ (pow c 2) (pow d 2)) 1)))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1)))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1)))
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1)))
b
(+ b (/ (* a c) d))
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2)))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2))
b
(+ b (/ (* a c) d))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
b
(+ b (/ (* a c) d))
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))
(+ b (* -1 (/ (* b (pow c 2)) (pow d 2))))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(/ (* a c) d)
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
Outputs
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(/ a c)
(/.f64 a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a (*.f64 c c)))) (/.f64 a c))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a (*.f64 c c)))) (/.f64 a c))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a (*.f64 c c)))) (/.f64 a c))
(/ a c)
(/.f64 a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a (*.f64 c c)))) (/.f64 a c))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a (*.f64 c c)))) (/.f64 a c))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a (*.f64 c c)))) (/.f64 a c))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 a (/.f64 d (*.f64 c (*.f64 c (neg.f64 c)))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 (*.f64 (/.f64 a d) (-.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d)))) (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d 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 b (/.f64 (-.f64 (*.f64 a c) (/.f64 (fma.f64 a (/.f64 (*.f64 c (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d)) d)) d)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (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 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (fma.f64 a (/.f64 c b) d)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (fma.f64 a (/.f64 c b) d)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (fma.f64 a (/.f64 c b) d)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (fma.f64 a (/.f64 c b) d)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (fma.f64 a (/.f64 c b) d)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (fma.f64 a (/.f64 c b) d)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) (neg.f64 d)))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 a (*.f64 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)
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(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) a) (/.f64 c d)))
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) a) (/.f64 c d)))
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a)))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) a) (/.f64 c d)))
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)

rewrite289.0ms (3.7%)

Memory
-26.9MiB live, 292.5MiB allocated
Rules
5 462×lower-fma.f32
5 460×lower-fma.f64
5 284×lower-/.f32
5 270×lower-/.f64
4 678×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046280
060273
1254269
21685269
08408254
Stop Event
iter limit
node limit
iter limit
Counts
20 → 468
Calls
Call 1
Inputs
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 b (/.f64 d c) a)
(/.f64 d c)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
(/.f64 #s(literal 1 binary64) c)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)
#s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c))
(/.f64 (*.f64 b d) c)
(/.f64 a (/.f64 d c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d))
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c)))
(*.f64 c c)
Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c))))
(+.f64 (/.f64 a c) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c))) (/.f64 a c))
(+.f64 (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c)) (/.f64 a c))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (-.f64 (*.f64 b (/.f64 d c)) a)) c) (/.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 b (/.f64 d c)) a)) c))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a))) (/.f64 (*.f64 a a) (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a))))
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c))))
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c))))
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c))))
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c)) (/.f64 a c))
(fma.f64 (/.f64 a c) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c))))
(fma.f64 (/.f64 a c) #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c) (/.f64 a c))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c))))
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c))))
(fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a #s(literal -1 binary64)) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (*.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c))))
(fma.f64 (*.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c))))
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (fma.f64 b (/.f64 d c) a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a)) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) c) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) (neg.f64 c)) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 b (/.f64 d c)) a) c) (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (neg.f64 c)) (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a)) (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 c) (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))) (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 c) (-.f64 (*.f64 b (/.f64 d c)) a)) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) (*.f64 (fma.f64 b (/.f64 d c) a) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 b (/.f64 d c) a))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (*.f64 c (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))))
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a)))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) c))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) #s(literal -1 binary64)) (*.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) (neg.f64 c)))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 b (/.f64 d c)) a) c))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (neg.f64 c)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a)))) (*.f64 c (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a))) (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a)))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a)))) (*.f64 (neg.f64 c) (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a))) (*.f64 (neg.f64 c) (-.f64 (*.f64 b (/.f64 d c)) a)))
(/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 c))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a)))) (neg.f64 (*.f64 c (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a))) (neg.f64 (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a))))
(/.f64 (*.f64 (fma.f64 b (/.f64 d c) a) #s(literal -1 binary64)) (neg.f64 c))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a)))) (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a))) (-.f64 (*.f64 b (/.f64 d c)) a))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) c)) (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) c)) (-.f64 (*.f64 b (/.f64 d c)) a))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a)) (neg.f64 c))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) c)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) (neg.f64 c))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 b (/.f64 d c)) a) c)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (neg.f64 c))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))))) (neg.f64 (*.f64 c (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)))) (neg.f64 (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))))) (neg.f64 (*.f64 (neg.f64 c) (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)))) (neg.f64 (*.f64 (neg.f64 c) (-.f64 (*.f64 b (/.f64 d c)) a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (/.f64 d c) a))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (/.f64 d c) a) #s(literal -1 binary64))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)))) (neg.f64 (-.f64 (*.f64 b (/.f64 d c)) a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) c))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) c))) (neg.f64 (-.f64 (*.f64 b (/.f64 d c)) a)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a))) (neg.f64 (neg.f64 c)))
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(*.f64 (/.f64 (*.f64 b d) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 d c))
(*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) d)) (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 d))) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 d))) (/.f64 b (neg.f64 c)))
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 c a))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 d (neg.f64 c))) (*.f64 a (/.f64 (neg.f64 c) d)))
(neg.f64 (*.f64 a (/.f64 (neg.f64 c) d)))
(/.f64 a (/.f64 d c))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (*.f64 c a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a d)))
(/.f64 (*.f64 c a) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 c a))))
(/.f64 (neg.f64 a) (/.f64 d (neg.f64 c)))
(/.f64 (/.f64 a d) (/.f64 #s(literal 1 binary64) c))
(/.f64 (neg.f64 (neg.f64 a)) (/.f64 d c))
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 a d)) (neg.f64 (/.f64 #s(literal 1 binary64) c)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (/.f64 d (neg.f64 c)))
(pow.f64 (/.f64 d (*.f64 c a)) #s(literal -1 binary64))
(*.f64 c (/.f64 a d))
(*.f64 a (/.f64 c d))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) d))
(*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) d))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d (*.f64 c a)))))
(*.f64 (neg.f64 a) (/.f64 (neg.f64 c) d))
(*.f64 (/.f64 c d) a)
(*.f64 (/.f64 c d) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a (/.f64 #s(literal 1 binary64) c)))
(*.f64 (/.f64 a d) c)
(*.f64 (neg.f64 (neg.f64 a)) (/.f64 c d))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) (/.f64 a (/.f64 #s(literal -1 binary64) c)))
(*.f64 (/.f64 a (neg.f64 d)) (neg.f64 c))
(*.f64 (/.f64 a (neg.f64 d)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)))
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 a (neg.f64 (/.f64 #s(literal 1 binary64) c))))
(*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) c)) (/.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)))
(*.f64 (/.f64 a (*.f64 d #s(literal 1 binary64))) c)
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal -1 binary64) c)))
(*.f64 (/.f64 a (pow.f64 c #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 c #s(literal -1/2 binary64))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
(exp.f64 (*.f64 (log.f64 (/.f64 d #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) (neg.f64 d)))
(neg.f64 (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) (neg.f64 d)))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))) d))
(/.f64 #s(literal 1 binary64) (/.f64 d #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64))))
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)))))
(/.f64 (neg.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)))) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)) d)
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))))) (neg.f64 (neg.f64 (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64))) (neg.f64 d))
(pow.f64 (/.f64 d #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
(*.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) (/.f64 #s(literal 1 binary64) d))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))))))
(*.f64 (neg.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)))) (/.f64 #s(literal 1 binary64) d))
(*.f64 (*.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) d))
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 c)))
(-.f64 #s(literal 0 binary64) (*.f64 c (neg.f64 c)))
(neg.f64 (*.f64 c (neg.f64 c)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 c (neg.f64 c)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 #s(literal 0 binary64) (*.f64 c (neg.f64 c))))))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 (neg.f64 c) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(*.f64 c c)
(*.f64 c (neg.f64 (neg.f64 c)))
(*.f64 (*.f64 c c) #s(literal 1 binary64))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 #s(literal -1 binary64) (*.f64 c (neg.f64 c)))
(*.f64 (neg.f64 (neg.f64 c)) c)
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))

eval140.0ms (1.8%)

Memory
38.7MiB live, 227.3MiB allocated
Compiler

Compiled 19 959 to 1 364 computations (93.2% saved)

prune239.0ms (3.1%)

Memory
-24.2MiB live, 225.9MiB allocated
Pruning

27 alts after pruning (18 fresh and 9 done)

PrunedKeptTotal
New1 30241 306
Fresh21416
Picked145
Done055
Total1 305271 332
Accuracy
99.8%
Counts
1 332 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.2%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
22.1%
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))
17.1%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
39.3%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
19.6%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
26.5%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
53.4%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
52.5%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))
49.7%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 b d) c) a) c))
49.5%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) d))
17.8%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
19.8%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c))
41.4%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
41.3%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
53.2%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 b c) d a) (/.f64 #s(literal 1 binary64) c)))
41.3%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
18.5%
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
33.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
24.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d))
24.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d))
24.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d))
23.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d))
42.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
20.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
17.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c)))))
Compiler

Compiled 861 to 327 computations (62% saved)

regimes75.0ms (1%)

Memory
-7.1MiB live, 108.6MiB allocated
Counts
45 → 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) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 b d) c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 b c) d a) (/.f64 #s(literal 1 binary64) c)))
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (fma.f64 a (/.f64 (*.f64 b d) (*.f64 c (*.f64 c a))) (/.f64 a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a (/.f64 #s(literal 1 binary64) c)))) d))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 d b) (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d)))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))
Outputs
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
Calls

5 calls:

18.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
15.0ms
b
14.0ms
a
13.0ms
d
13.0ms
c
Results
AccuracySegmentsBranch
67.7%4a
65.8%4b
84.0%4c
83.6%4d
78.6%5(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes12.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB allocated
Counts
34 → 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) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 b d) c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 b c) d a) (/.f64 #s(literal 1 binary64) c)))
Outputs
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
Calls

1 calls:

10.0ms
c
Results
AccuracySegmentsBranch
82.4%3c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes21.0ms (0.3%)

Memory
-6.0MiB live, 30.1MiB 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) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
Calls

2 calls:

11.0ms
c
8.0ms
d
Results
AccuracySegmentsBranch
80.2%3d
82.1%3c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes23.0ms (0.3%)

Memory
-35.2MiB live, 15.1MiB allocated
Counts
25 → 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) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

2 calls:

8.0ms
c
7.0ms
d
Results
AccuracySegmentsBranch
72.6%3d
78.6%4c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes23.0ms (0.3%)

Memory
32.0MiB live, 32.0MiB allocated
Counts
24 → 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) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

3 calls:

7.0ms
c
7.0ms
d
7.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
67.5%4d
57.0%5(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
70.5%5c
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes19.0ms (0.2%)

Memory
-27.0MiB live, 11.0MiB allocated
Counts
23 → 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) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

1 calls:

18.0ms
c
Results
AccuracySegmentsBranch
68.1%4c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
18 → 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) (* a c)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Calls

1 calls:

6.0ms
c
Results
AccuracySegmentsBranch
66.2%3c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB 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
d
1.0ms
b
1.0ms
c
1.0ms
a
1.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
42.5%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
42.5%1b
42.5%1d
42.5%1a
42.5%1c
Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch50.0ms (0.6%)

Memory
10.3MiB live, 48.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
26721469849300.543
1223751892347236600.0
19.0ms
-0.00015987202867203168
-7.215459615632989e-15
14.0ms
-2.6859634156286137e+100
-1.456804410099436e+92
Samples
28.0ms432×0valid
Compiler

Compiled 873 to 507 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 10.0ms (59.2% of total)
ival-add: 4.0ms (23.7% of total)
ival-div: 2.0ms (11.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
-19.5MiB live, 17.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
26721469849300.543
1223751892347236600.0
17.0ms
-0.00015987202867203168
-7.215459615632989e-15
Samples
12.0ms128×0valid
Compiler

Compiled 526 to 306 computations (41.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61% of total)
ival-div: 1.0ms (20.3% of total)
ival-add: 1.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
26721469849300.543
1223751892347236600.0
1.0ms
-0.00015987202867203168
-7.215459615632989e-15
Compiler

Compiled 526 to 306 computations (41.8% saved)

bsearch25.0ms (0.3%)

Memory
-11.5MiB live, 29.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7835989.754634925
31207260.86455605
1.0ms
-0.00015987202867203168
-7.215459615632989e-15
8.0ms
-7.94511167381553e+81
-2.930555900339195e+81
Samples
17.0ms160×0valid
Compiler

Compiled 562 to 333 computations (40.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 8.0ms (61.8% of total)
ival-mult: 4.0ms (30.9% of total)
ival-div: 1.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0.5%)

Memory
24.3MiB live, 61.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
8.915586705478225e+74
1.3171249987192793e+80
14.0ms
1.3293555580640137e-26
1.6159952722521662e-17
8.0ms
-0.00015987202867203168
-7.215459615632989e-15
0.0ms
-7.94511167381553e+81
-2.930555900339195e+81
Samples
25.0ms368×0valid
Compiler

Compiled 847 to 513 computations (39.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 9.0ms (64.3% of total)
ival-add: 3.0ms (21.4% of total)
ival-div: 2.0ms (14.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.915586705478225e+74
1.3171249987192793e+80
1.0ms
1.3293555580640137e-26
1.6159952722521662e-17
2.0ms
-0.00015987202867203168
-7.215459615632989e-15
Samples
1.0ms16×0valid
Compiler

Compiled 652 to 408 computations (37.4% saved)

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

bsearch16.0ms (0.2%)

Memory
-6.6MiB live, 30.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
62510.81055645135
7835989.754634925
1.0ms
-0.00015987202867203168
-7.215459615632989e-15
Samples
10.0ms112×0valid
Compiler

Compiled 328 to 222 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (69.9% of total)
ival-div: 1.0ms (23.3% of total)
ival-add: 1.0ms (23.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081646
183646
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 c #s(literal -320000000000000025459943955609759085809992364853411365100366079151613784070456356292536565760 binary64)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal -2614529362970723/79228162514264337593543950336 binary64)) (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)))))
(if (<=.f64 c #s(literal -7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))))
(if (<=.f64 c #s(literal -7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 c #s(literal -3200000000000000000851515670667752849196876837798425891140223278511672285322018816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -7253554917687775/9671406556917033397649408 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 c #s(literal 13500000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -3200000000000000000851515670667752849196876837798425891140223278511672285322018816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -8635869714054813/79228162514264337593543950336 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 c #s(literal 110591769249305/170141183460469231731687303715884105728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 44999999999999999353772616190282857579843407508600162101065043600638446172897280 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))))
(if (<=.f64 c #s(literal -4436777100798803/39614081257132168796771975168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 110591769249305/170141183460469231731687303715884105728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 44999999999999999353772616190282857579843407508600162101065043600638446172897280 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -4436777100798803/39614081257132168796771975168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 3600000 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 -320000000000000025459943955609759085809992364853411365100366079151613784070456356292536565760 binary64)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal -2614529362970723/79228162514264337593543950336 binary64)) (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)))))
(if (<=.f64 c #s(literal -320000000000000025459943955609759085809992364853411365100366079151613784070456356292536565760 binary64)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal -2614529362970723/79228162514264337593543950336 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)))))
(if (<=.f64 c #s(literal -7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))))
(if (<=.f64 c #s(literal -7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 c #s(literal -3200000000000000000851515670667752849196876837798425891140223278511672285322018816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -7253554917687775/9671406556917033397649408 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 c #s(literal 13500000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -3200000000000000000851515670667752849196876837798425891140223278511672285322018816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -8635869714054813/79228162514264337593543950336 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 c #s(literal 110591769249305/170141183460469231731687303715884105728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 44999999999999999353772616190282857579843407508600162101065043600638446172897280 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))))
(if (<=.f64 c #s(literal -3200000000000000000851515670667752849196876837798425891140223278511672285322018816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -8635869714054813/79228162514264337593543950336 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 c #s(literal 110591769249305/170141183460469231731687303715884105728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 44999999999999999353772616190282857579843407508600162101065043600638446172897280 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))))
(if (<=.f64 c #s(literal -4436777100798803/39614081257132168796771975168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 110591769249305/170141183460469231731687303715884105728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 44999999999999999353772616190282857579843407508600162101065043600638446172897280 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -4436777100798803/39614081257132168796771975168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 110591769249305/170141183460469231731687303715884105728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 44999999999999999353772616190282857579843407508600162101065043600638446172897280 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))
(if (<=.f64 c #s(literal -4436777100798803/39614081257132168796771975168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 3600000 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))

soundness761.0ms (9.8%)

Memory
17.0MiB live, 641.8MiB allocated
Rules
11 804×lower-fma.f64
11 804×lower-fma.f32
7 676×lower-fma.f64
7 676×lower-fma.f32
6 054×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861356
16181346
218921322
357631320
081851190
01132
01832
15832
243532
3507332
0876028
034229
054217
1201217
21420217
08296217
04219531
113919167
243738857
081768293
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 649 to 252 computations (61.2% saved)

preprocess86.0ms (1.1%)

Memory
-46.5MiB live, 137.7MiB allocated
Compiler

Compiled 670 to 186 computations (72.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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