Complex division, imag part

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze24.0ms (0.3%)

Memory
22.8MiB live, 22.8MiB 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)

sample1.1s (14.7%)

Memory
31.9MiB live, 1 125.0MiB allocated
Samples
691.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 482.0ms
ival-mult: 312.0ms (64.7% of total)
ival-div: 83.0ms (17.2% of total)
ival-sub: 38.0ms (7.9% of total)
ival-add: 38.0ms (7.9% of total)
ival-true: 7.0ms (1.5% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

explain432.0ms (5.9%)

Memory
-27.6MiB live, 211.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1040-1(-3.3450921288051666e+22 -1.5550724740553993e-158 -1.7042348165094444e-155 6.152949615319269e-260)(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
20-0-(-.f64 (*.f64 b c) (*.f64 a 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 b c)
00-0-c
00-0-(*.f64 a d)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/o460
(*.f64 b c)overflow30
(-.f64 (*.f64 b c) (*.f64 a d))overflow58
(*.f64 a d)overflow33
(+.f64 (*.f64 c c) (*.f64 d d))overflow111
(*.f64 c c)overflow57
(*.f64 d d)overflow69
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o320
(+.f64 (*.f64 c c) (*.f64 d d))overflow111
(*.f64 c c)overflow57
(*.f64 d d)overflow69
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n120
(*.f64 b c)overflow30
(-.f64 (*.f64 b c) (*.f64 a d))overflow58
(*.f64 a d)overflow33
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u60
(+.f64 (*.f64 c c) (*.f64 d d))underflow18
(*.f64 c c)underflow67
(*.f64 d d)underflow72
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u50
(*.f64 b c)underflow40
(-.f64 (*.f64 b c) (*.f64 a d))underflow7
(*.f64 a d)underflow27
(+.f64 (*.f64 c c) (*.f64 d d))underflow18
(*.f64 c c)underflow67
(*.f64 d d)underflow72
-.f64(-.f64 (*.f64 b c) (*.f64 a d))nan-rescue20
(*.f64 b c)overflow30
(*.f64 a d)overflow33
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/n20
(*.f64 b c)underflow40
(-.f64 (*.f64 b c) (*.f64 a d))underflow7
(*.f64 a d)underflow27
Confusion
Predicted +Predicted -
+1031
-0152
Precision
1.0
Recall
0.9903846153846154
Confusion?
Predicted +Predicted MaybePredicted -
+10301
-00152
Precision?
1.0
Recall?
0.9903846153846154
Freqs
test
numberfreq
0153
1101
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms512×0valid
Compiler

Compiled 109 to 37 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 14.0ms (62.9% of total)
ival-div: 3.0ms (13.5% of total)
ival-sub: 2.0ms (9% of total)
ival-add: 2.0ms (9% of total)
ival-true: 1.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess340.0ms (4.6%)

Memory
5.7MiB live, 83.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060214
1202214
2402214
3976214
42796214
54580214
65390214
75495214
85515214
95531214
105531214
115995214
126203214
136203214
146203214
156299214
166299214
176371214
186403214
196403214
206403214
01115
01815
12915
25115
38115
414015
523915
638215
763015
8109215
9176615
10200715
11204715
12207515
13207515
0207514
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.8%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify50.0ms (0.7%)

Memory
4.4MiB live, 41.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b c)
cost-diff0
(-.f64 (*.f64 b c) (*.f64 a d))
cost-diff0
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff128
(+.f64 (*.f64 c c) (*.f64 d d))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01845
12945
25145
38145
414045
523945
638245
763045
8109245
9176645
10200745
11204745
12207545
13207545
0207543
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
Outputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(*.f64 b c)
(*.f64 c b)
b
c
(*.f64 a d)
(*.f64 d a)
a
d
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(*.f64 d d)

localize54.0ms (0.7%)

Memory
-1.0MiB live, 37.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a d)
accuracy0.00390625
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy0.45312293583020585
(-.f64 (*.f64 b c) (*.f64 a d))
accuracy24.213870955406794
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
47.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 31.0ms (87.1% of total)
ival-div: 2.0ms (5.6% of total)
ival-sub: 1.0ms (2.8% of total)
ival-add: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
5 → 168
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 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())
#s(alt (*.f64 a d) (patch (*.f64 a 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 (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<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 (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 (/ b c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<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 (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 (/ b c) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<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>) () ())) ())
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#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 (* -1 (/ a d)) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a 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 (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify132.0ms (1.8%)

Memory
-11.2MiB live, 111.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911511
16231461
218611441
354891432
085011356
Stop Event
iter limit
node limit
Counts
168 → 168
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))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(* -1 (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(* b c)
(* b c)
(* b c)
(* b c)
(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))))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(* b c)
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* b c)
(* b c)
(* b c)
(* b c)
(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))))
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(* b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* b c)
(* b c)
(* b c)
(* b c)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* -1 (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(* b c)
(* b c)
(* b c)
(* b c)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b c)
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b c)
(* b c)
(* b c)
(* b c)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* b c)
(* b c)
(* b c)
(* b c)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* a d)
(* a d)
(* a d)
(* a d)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a d))
(* a (- (/ (* b c) a) d))
(* a (- (/ (* b c) a) d))
(* a (- (/ (* b c) a) d))
(* a d)
(* a d)
(* a d)
(* a d)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a d))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(* a d)
(* a d)
(* a d)
(* a d)
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* a d)
(* a d)
(* a d)
(* a d)
(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 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* -1 (* a d))
(* d (- (/ (* b c) d) a))
(* d (- (/ (* b c) d) a))
(* d (- (/ (* b c) d) a))
(* a d)
(* a d)
(* a d)
(* a d)
(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 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (* a d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* a d)
(* a d)
(* a d)
(* a d)
Outputs
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c)
(* b c)
(*.f64 b c)
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c)
(* b c)
(*.f64 b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.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) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
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(* a d)
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rewrite308.0ms (4.2%)

Memory
14.0MiB live, 136.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
01835
16535
250535
3637635
0817833
Stop Event
iter limit
node limit
iter limit
Counts
5 → 478
Calls
Call 1
Inputs
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(*.f64 b c)
(*.f64 a d)
Outputs
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#<batchref>
#<batchref>
#<batchref>

eval71.0ms (1%)

Memory
-17.3MiB live, 91.9MiB allocated
Compiler

Compiled 18 441 to 1 350 computations (92.7% saved)

prune20.0ms (0.3%)

Memory
-8.6MiB live, 41.7MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New63412646
Fresh000
Picked101
Done000
Total63512647
Accuracy
99.7%
Counts
647 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.5%
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
37.1%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
34.0%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
36.9%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c)))
55.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d))
42.3%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c))
57.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
47.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
49.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
38.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
40.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
45.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))))
Compiler

Compiled 344 to 262 computations (23.8% saved)

simplify148.0ms (2%)

Memory
20.8MiB live, 58.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 a d) c)
cost-diff0
(-.f64 b (/.f64 (*.f64 a d) c))
cost-diff0
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
cost-diff0
(*.f64 a d)
cost-diff0
(*.f64 b c)
cost-diff0
(-.f64 (*.f64 b c) (*.f64 a d))
cost-diff0
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(/.f64 b (fma.f64 c c (*.f64 d d)))
cost-diff0
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
cost-diff0
(/.f64 b c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(/.f64 a (fma.f64 d d (*.f64 c c)))
cost-diff0
(neg.f64 d)
cost-diff1408
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034240
053240
193233
2144233
3256233
4466233
5758233
61150233
71685233
83636233
94166233
104191233
114204233
124216233
134217233
144559233
154711233
164711233
174711233
04711233
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(neg.f64 d)
d
(/.f64 a (fma.f64 d d (*.f64 c c)))
a
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(/.f64 c (fma.f64 d d (*.f64 c c)))
b
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
(/.f64 b c)
b
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)
(/.f64 b (fma.f64 c c (*.f64 d d)))
b
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
d
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(-.f64 (*.f64 b c) (*.f64 a d))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
(-.f64 b (/.f64 (*.f64 a d) c))
b
(/.f64 (*.f64 a d) c)
(*.f64 a d)
a
d
c
Outputs
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 d d (*.f64 c c)))
(neg.f64 d)
d
(/.f64 a (fma.f64 d d (*.f64 c c)))
a
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))
(/.f64 c (fma.f64 d d (*.f64 c c)))
b
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
(/.f64 b c)
b
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))
(/.f64 b (fma.f64 c c (*.f64 d d)))
(/.f64 b (fma.f64 d d (*.f64 c c)))
b
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
c
(*.f64 d d)
d
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 a (neg.f64 d) (*.f64 b c))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
(-.f64 b (/.f64 (*.f64 a d) c))
b
(/.f64 (*.f64 a d) c)
(*.f64 a d)
a
d
c

localize94.0ms (1.3%)

Memory
13.2MiB live, 51.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a d)
accuracy1.2420136351993503
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
accuracy5.668397777476505
(/.f64 (*.f64 a d) c)
accuracy32.407111596009756
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
accuracy0
(*.f64 a d)
accuracy0.45312293583020585
(-.f64 (*.f64 b c) (*.f64 a d))
accuracy24.213870955406794
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy28.6908391511934
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy0.00390625
(fma.f64 c c (*.f64 d d))
accuracy7.47833168576061
(/.f64 b (fma.f64 c c (*.f64 d d)))
accuracy9.10474163341843
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)
accuracy29.09529567643005
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
accuracy0
(/.f64 b c)
accuracy39.17309940024066
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
accuracy3.0832950935058485
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
accuracy8.988414856129612
(/.f64 a (fma.f64 d d (*.f64 c c)))
accuracy10.342485395044038
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
accuracy18.059224207304847
(/.f64 c (fma.f64 d d (*.f64 c c)))
Samples
76.0ms256×0valid
Compiler

Compiled 224 to 26 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-add: 28.0ms (47.7% of total)
ival-div: 15.0ms (25.5% of total)
ival-mult: 11.0ms (18.7% of total)
ival-sub: 2.0ms (3.4% of total)
ival-neg: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series74.0ms (1%)

Memory
-17.6MiB live, 94.0MiB allocated
Counts
21 → 744
Calls
Call 1
Inputs
#s(alt (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (patch (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) #<representation binary64>) () ())
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())
#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())
#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())
#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())
#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (patch (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) 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>) () ())
Outputs
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (patch (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (patch (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (patch (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (patch (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow d 2)) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.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 (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ())
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#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ())
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (patch (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (patch (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (patch (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (patch (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#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 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#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 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#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 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
5.0ms
b
@0
((+ (* (neg d) (/ a (+ (* d d) (* c c)))) (* (/ c (+ (* d d) (* c c))) b)) (neg d) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (/ c (+ (* d d) (* c c))) (* (/ c (+ (* d d) (* c c))) b) (+ (* c c) (* d d)))
5.0ms
c
@inf
((+ (* (neg d) (/ a (+ (* d d) (* c c)))) (* (/ c (+ (* d d) (* c c))) b)) (neg d) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (/ c (+ (* d d) (* c c))) (* (/ c (+ (* d d) (* c c))) b) (+ (* c c) (* d d)))
3.0ms
b
@-inf
((+ (* (neg d) (/ a (+ (* d d) (* c c)))) (* (/ c (+ (* d d) (* c c))) b)) (neg d) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (/ c (+ (* d d) (* c c))) (* (/ c (+ (* d d) (* c c))) b) (+ (* c c) (* d d)))
3.0ms
d
@inf
((+ (* (neg d) (/ a (+ (* d d) (* c c)))) (* (/ c (+ (* d d) (* c c))) b)) (neg d) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (/ c (+ (* d d) (* c c))) (* (/ c (+ (* d d) (* c c))) b) (+ (* c c) (* d d)))
3.0ms
d
@0
((+ (* (neg d) (/ a (+ (* d d) (* c c)))) (* (/ c (+ (* d d) (* c c))) b)) (neg d) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (/ c (+ (* d d) (* c c))) (* (/ c (+ (* d d) (* c c))) b) (+ (* c c) (* d d)))

simplify202.0ms (2.8%)

Memory
6.7MiB live, 196.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05369768
116399414
247419168
085478734
Stop Event
iter limit
node limit
Counts
744 → 738
Calls
Call 1
Inputs
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2)))))
(/ a (pow d 2))
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(/ (* b c) (pow d 2))
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(* -1 (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(* b c)
(* b c)
(* b c)
(* b c)
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(* -1 (/ (* a d) (pow c 2)))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(* -1 (/ (* a d) c))
(/ (- (* b c) (* a d)) c)
(/ (- (* b c) (* a d)) c)
(/ (- (* b c) (* a d)) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ c (pow d 2))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(/ (* b c) (pow d 2))
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ a (pow c 2))
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 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))))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ b c)
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c)
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(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))))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(* b c)
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* b c)
(* b c)
(* b c)
(* b c)
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ 1 c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)
(/ b c)
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c)
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)
(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))))
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c))
(/ a (pow c 2))
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 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))))
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/ b c)
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b
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b
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b
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(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(/ b c)
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c))
(/ b (pow c 2))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* a d)
(* a d)
(* a d)
(* a d)
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ 1 c)
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))
(/ b c)
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(/ a (pow d 2))
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 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 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(/ (* b c) (pow d 2))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))
(/ b (pow d 2))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(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 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* -1 (* a d))
(* d (- (/ (* b c) d) a))
(* d (- (/ (* b c) d) a))
(* d (- (/ (* b c) d) a))
(* a d)
(* a d)
(* a d)
(* a d)
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* -1 (/ (* a d) (pow c 2)))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* -1 (/ (* a d) c))
(* d (- (/ b d) (/ a c)))
(* d (- (/ b d) (/ a c)))
(* d (- (/ b d) (/ a c)))
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ c (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (* b c) (pow d 2))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 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 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(/ a (pow d 2))
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 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 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(/ (* b c) (pow d 2))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))
(/ b (pow d 2))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(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 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (* a d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* a d)
(* a d)
(* a d)
(* a d)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (/ (* a d) c))
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ c (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (* b c) (pow d 2))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 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))))
Outputs
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(/ a (pow d 2))
(/.f64 (/.f64 a d) d)
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))
(/.f64 (fma.f64 (/.f64 (*.f64 c c) d) (/.f64 (neg.f64 a) d) a) (*.f64 d d))
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 a d) d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 a d) d))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(/ (* b c) (pow d 2))
(*.f64 (/.f64 c (*.f64 d d)) b)
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))))
(fma.f64 (/.f64 c d) (/.f64 b d) (*.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64)))))
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))))
(fma.f64 (/.f64 c d) (/.f64 b d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (pow.f64 d #s(literal 4 binary64))))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))))
(fma.f64 (/.f64 c d) (/.f64 b d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64))))))
(/ b (pow d 2))
(/.f64 b (*.f64 d d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(/.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) (neg.f64 b) b) d) d)
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 b (*.f64 d d)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 b (*.f64 d d)))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(* -1 (/ (* a d) c))
(*.f64 (neg.f64 a) (/.f64 d c))
(/ (- (* b c) (* a d)) c)
(-.f64 b (/.f64 (*.f64 d a) c))
(/ (- (* b c) (* a d)) c)
(-.f64 b (/.f64 (*.f64 d a) c))
(/ (- (* b c) (* a d)) c)
(-.f64 b (/.f64 (*.f64 d a) c))
(/ (* a d) c)
(/.f64 (*.f64 d a) c)
(/ (* a d) c)
(/.f64 (*.f64 d a) c)
(/ (* a d) c)
(/.f64 (*.f64 d a) c)
(/ (* a d) c)
(/.f64 (*.f64 d a) c)
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
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(*.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)

rewrite172.0ms (2.4%)

Memory
22.8MiB live, 216.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034211
053211
1203204
21557204
08323204
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 019
Calls
Call 1
Inputs
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(neg.f64 d)
(/.f64 a (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
(/.f64 b c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)
(/.f64 b (fma.f64 c c (*.f64 d d)))
(fma.f64 c c (*.f64 d d))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(-.f64 (*.f64 b c) (*.f64 a d))
(*.f64 b c)
(*.f64 a d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
(-.f64 b (/.f64 (*.f64 a d) c))
(/.f64 (*.f64 a d) c)
(/.f64 c (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
Outputs
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eval352.0ms (4.8%)

Memory
-50.1MiB live, 386.5MiB allocated
Compiler

Compiled 45 548 to 3 741 computations (91.8% saved)

prune170.0ms (2.3%)

Memory
-3.3MiB live, 124.0MiB allocated
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1 833161 849
Fresh347
Picked145
Done000
Total1 837241 861
Accuracy
99.8%
Counts
1 861 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.0%
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c #s(approx (+ (* d d) (* c c)) (*.f64 d d))) b))
49.1%
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) b))
37.1%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
34.0%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
18.8%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
27.2%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
55.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d))
53.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) a (neg.f64 a))) d))
57.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
47.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
39.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c))))
49.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
21.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
38.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
47.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))))
38.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
40.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
22.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c))
28.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
45.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))))
18.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) (neg.f64 b) b) d) d)) c))
21.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
39.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d)))
20.3%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b)))
Compiler

Compiled 531 to 454 computations (14.5% saved)

simplify179.0ms (2.4%)

Memory
23.9MiB live, 60.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
038273
054273
193273
2169269
3350269
4814269
51491269
62302269
73146269
83808269
94102269
104162269
114167269
124171269
134171269
144339269
154411269
164411269
174411269
04411263
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(-.f64 (/.f64 (*.f64 c b) d) a)
(/.f64 (*.f64 c b) d)
(*.f64 c b)
c
b
d
a
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
(/.f64 (neg.f64 a) d)
(neg.f64 a)
a
d
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (- (* b c) (* a d)) (*.f64 c b))
(*.f64 c b)
c
b
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(/.f64 (neg.f64 a) c)
(neg.f64 a)
a
c
(/.f64 d c)
d
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))))
(/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))
#s(literal 1 binary64)
(/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))
c
(-.f64 b (/.f64 (*.f64 a d) c))
b
(/.f64 (*.f64 a d) c)
(*.f64 a d)
a
d
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(-.f64 (/.f64 (*.f64 c b) d) a)
(/.f64 (*.f64 c b) d)
(*.f64 c b)
c
b
d
a
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
(/.f64 (neg.f64 a) d)
(neg.f64 a)
a
d
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (- (* b c) (* a d)) (*.f64 c b))
(*.f64 c b)
c
b
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 a c) c) (neg.f64 d))))
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 a c) c) (neg.f64 d)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(*.f64 (/.f64 (/.f64 a c) c) (neg.f64 d))
(/.f64 (neg.f64 a) c)
(neg.f64 a)
a
c
(/.f64 d c)
d
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) c))
(/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))
(/.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) c)
#s(literal 1 binary64)
(/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))
(/.f64 c (fma.f64 (/.f64 d c) (neg.f64 a) b))
c
(-.f64 b (/.f64 (*.f64 a d) c))
(fma.f64 (/.f64 d c) (neg.f64 a) b)
b
(/.f64 (*.f64 a d) c)
(*.f64 (/.f64 d c) a)
(*.f64 a d)
(*.f64 d a)
a
d

localize76.0ms (1%)

Memory
-21.7MiB live, 54.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.2613872616009698
(/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))
accuracy1.2574888847224037
(/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))
accuracy5.668397777476505
(/.f64 (*.f64 a d) c)
accuracy32.407111596009756
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))))
accuracy0
(neg.f64 a)
accuracy3.1174010372195244
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
accuracy23.262376246915778
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))
accuracy32.407111596009756
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
accuracy0
(*.f64 c b)
accuracy24.213870955406794
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy28.6908391511934
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy33.24346058446788
#s(approx (- (* b c) (* a d)) (*.f64 c b))
accuracy0
(/.f64 (neg.f64 a) d)
accuracy0
(neg.f64 a)
accuracy32.29824115812071
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
accuracy0.0078125
(-.f64 (/.f64 (*.f64 c b) d) a)
accuracy0.49628557389134786
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
accuracy4.471431622054721
(/.f64 (*.f64 c b) d)
accuracy25.777095324387663
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
Samples
56.0ms256×0valid
Compiler

Compiled 204 to 28 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 21.0ms (56.4% of total)
ival-mult: 10.0ms (26.8% of total)
ival-sub: 4.0ms (10.7% of total)
ival-add: 1.0ms (2.7% of total)
ival-neg: 1.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series93.0ms (1.3%)

Memory
12.2MiB live, 89.8MiB allocated
Counts
20 → 792
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 a) d) (patch (/.f64 (neg.f64 a) d) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt #s(approx (- (* b c) (* a d)) (*.f64 c b)) (patch #s(approx (- (* b c) (* a d)) (*.f64 c b)) #<representation binary64>) () ())
#s(alt (*.f64 c b) (patch (*.f64 c 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 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) (patch (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 a) c) (patch (/.f64 (neg.f64 a) c) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) #<representation binary64>) () ())
#s(alt (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) (patch (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) #<representation binary64>) () ())
#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (neg.f64 a) d) (patch (/.f64 (neg.f64 a) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (neg.f64 a) d) (patch (/.f64 (neg.f64 a) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (neg.f64 a) d) (patch (/.f64 (neg.f64 a) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (neg.f64 a) d) (patch (/.f64 (neg.f64 a) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 c b)) (patch #s(approx (- (* b c) (* a d)) (*.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 c b)) (patch #s(approx (- (* b c) (* a d)) (*.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 c b)) (patch #s(approx (- (* b c) (* a d)) (*.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 c b)) (patch #s(approx (- (* b c) (* a d)) (*.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#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 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#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 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#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 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#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 (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) (patch (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) (patch (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) (patch (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) (patch (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow c 2) (* a d))) (taylor -inf d) (#s(alt (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) (patch (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ (* b (pow c 3)) (* (pow a 2) d)) (/ (pow c 2) a)) d)) (taylor -inf d) (#s(alt (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) (patch (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 4)) (* (pow a 3) d))) (/ (* b (pow c 3)) (pow a 2))) d)) (/ (pow c 2) a)) d)) (taylor -inf d) (#s(alt (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) (patch (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow c 5)) (* (pow a 4) d)) (* -1 (/ (* (pow b 2) (pow c 4)) (pow a 3)))) d)) (/ (* b (pow c 3)) (pow a 2))) d)) (/ (pow c 2) a)) d)) (taylor -inf d) (#s(alt (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) (patch (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
26.0ms
d
@inf
((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c) (/ 1 (/ c (- b (/ (* a d) c)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c (- b (/ (* a d) c))) (- b (/ (* a d) c)) (/ (* a d) c))
8.0ms
b
@-inf
((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c) (/ 1 (/ c (- b (/ (* a d) c)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c (- b (/ (* a d) c))) (- b (/ (* a d) c)) (/ (* a d) c))
3.0ms
a
@inf
((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c) (/ 1 (/ c (- b (/ (* a d) c)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c (- b (/ (* a d) c))) (- b (/ (* a d) c)) (/ (* a d) c))
3.0ms
a
@0
((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c) (/ 1 (/ c (- b (/ (* a d) c)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c (- b (/ (* a d) c))) (- b (/ (* a d) c)) (/ (* a d) c))
3.0ms
d
@-inf
((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c) (/ 1 (/ c (- b (/ (* a d) c)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c (- b (/ (* a d) c))) (- b (/ (* a d) c)) (/ (* a d) c))

simplify193.0ms (2.6%)

Memory
-1.4MiB live, 186.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05499627
118639248
264699009
081688654
Stop Event
iter limit
node limit
Counts
792 → 786
Calls
Call 1
Inputs
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(/ (* b c) d)
(/ (* b c) d)
(/ (* b c) d)
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(* -1 (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(* b c)
(* b c)
(* b c)
(* b c)
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(* -1 (/ (* a d) (pow c 2)))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ (* a d) (pow c 2)))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(* -1 (/ (pow c 2) (* a d)))
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b
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b
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b
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(+ (/ c b) (/ (* a d) (pow b 2)))
(+ (* a (- (/ (* a (pow d 2)) (* (pow b 3) c)) (* -1 (/ d (pow b 2))))) (/ c b))
(+ (* a (- (* a (- (/ (* a (pow d 3)) (* (pow b 4) (pow c 2))) (* -1 (/ (pow d 2) (* (pow b 3) c))))) (* -1 (/ d (pow b 2))))) (/ c b))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (/ a d))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(* -1 a)
(* a (- (/ (* b c) (* a d)) 1))
(* a (- (/ (* b c) (* a d)) 1))
(* a (- (/ (* b c) (* a d)) 1))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a d))
(* a (- (/ (* b c) a) d))
(* a (- (/ (* b c) a) d))
(* a (- (/ (* b c) a) d))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (/ (* a d) (pow c 2)))
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ (* a d) (pow c 2)))
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (/ (pow c 2) (* a d)))
(/ (+ (* -1 (/ (* b (pow c 3)) (* a (pow d 2)))) (* -1 (/ (pow c 2) d))) a)
(/ (- (+ (* -1 (/ (* (pow b 2) (pow c 4)) (* (pow a 2) (pow d 3)))) (* -1 (/ (pow c 2) d))) (/ (* b (pow c 3)) (* a (pow d 2)))) a)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow c 5)) (* (pow a 3) (pow d 4)))) (* -1 (/ (pow c 2) d))) (+ (/ (* b (pow c 3)) (* a (pow d 2))) (/ (* (pow b 2) (pow c 4)) (* (pow a 2) (pow d 3))))) a)
(* -1 (/ (* a d) c))
(* a (- (/ b a) (/ d c)))
(* a (- (/ b a) (/ d c)))
(* a (- (/ b a) (/ d c)))
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (/ a d))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a d))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (/ (pow c 2) (* a d)))
(* -1 (/ (+ (/ (* b (pow c 3)) (* a (pow d 2))) (/ (pow c 2) d)) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 4)) (* a (pow d 3)))) (/ (* b (pow c 3)) (pow d 2))) a)) (/ (pow c 2) d)) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow c 5)) (* a (pow d 4))) (* -1 (/ (* (pow b 2) (pow c 4)) (pow d 3)))) a)) (/ (* b (pow c 3)) (pow d 2))) a)) (/ (pow c 2) d)) a))
(* -1 (/ (* a d) c))
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c)))))
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c)))))
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c)))))
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(/ (* b c) (pow d 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(/ (* b c) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(/ (* b c) d)
(/ (* b c) d)
(/ (* b c) d)
(/ (* b c) d)
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(/ c b)
(+ (/ c b) (/ (* a d) (pow b 2)))
(+ (* d (- (/ (* (pow a 2) d) (* (pow b 3) c)) (* -1 (/ a (pow b 2))))) (/ c b))
(+ (* d (- (* d (- (/ (* (pow a 3) d) (* (pow b 4) (pow c 2))) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(/ (* b c) d)
(/ (* b c) d)
(/ (* b c) d)
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* -1 (* a d))
(* d (- (/ (* b c) d) a))
(* d (- (/ (* b c) d) a))
(* d (- (/ (* b c) d) a))
(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 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* -1 (/ (* a d) (pow c 2)))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* -1 (/ (pow c 2) (* a d)))
(/ (+ (* -1 (/ (* b (pow c 3)) (* (pow a 2) d))) (* -1 (/ (pow c 2) a))) d)
(/ (- (+ (* -1 (/ (* (pow b 2) (pow c 4)) (* (pow a 3) (pow d 2)))) (* -1 (/ (pow c 2) a))) (/ (* b (pow c 3)) (* (pow a 2) d))) d)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow c 5)) (* (pow a 4) (pow d 3)))) (* -1 (/ (pow c 2) a))) (+ (/ (* b (pow c 3)) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 4)) (* (pow a 3) (pow d 2))))) d)
(* -1 (/ (* a d) c))
(* d (- (/ b d) (/ a c)))
(* d (- (/ b d) (/ a c)))
(* d (- (/ b d) (/ a c)))
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(/ (* b c) d)
(/ (* b c) d)
(/ (* b c) d)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (* a d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(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 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (/ (pow c 2) (* a d)))
(* -1 (/ (+ (/ (* b (pow c 3)) (* (pow a 2) d)) (/ (pow c 2) a)) d))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 4)) (* (pow a 3) d))) (/ (* b (pow c 3)) (pow a 2))) d)) (/ (pow c 2) a)) d))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow c 5)) (* (pow a 4) d)) (* -1 (/ (* (pow b 2) (pow c 4)) (pow a 3)))) d)) (/ (* b (pow c 3)) (pow a 2))) d)) (/ (pow c 2) a)) d))
(* -1 (/ (* a d) c))
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
Outputs
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(* -1 a)
(neg.f64 a)
(- (/ (* b c) d) a)
(-.f64 (/.f64 (*.f64 c b) d) a)
(- (/ (* b c) d) a)
(-.f64 (/.f64 (*.f64 c b) d) a)
(- (/ (* b c) d) a)
(-.f64 (/.f64 (*.f64 c b) d) a)
(/ (* b c) d)
(/.f64 (*.f64 c b) d)
(/ (* b c) d)
(/.f64 (*.f64 c b) d)
(/ (* b c) d)
(/.f64 (*.f64 c b) d)
(/ (* b c) d)
(/.f64 (*.f64 c b) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
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(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) d)) (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d) (*.f64 (*.f64 c c) a)) d)) d)) (neg.f64 d))
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d)
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d)
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d)
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d)
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 4)) (* (pow a 3) d))) (/ (* b (pow c 3)) (pow a 2))) d)) (/ (pow c 2) a)) d))
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(/.f64 (fma.f64 c (/.f64 c a) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) d) (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) b) b) (pow.f64 a #s(literal 3 binary64)))) d) (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 b a))) d)) (neg.f64 d))
(* -1 (/ (* a d) c))
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(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
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(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d)
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d)
(/ (* a d) c)
(*.f64 d (/.f64 a c))
(/ (* a d) c)
(*.f64 d (/.f64 a c))
(/ (* a d) c)
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(/ (* a d) c)
(*.f64 d (/.f64 a c))

rewrite394.0ms (5.4%)

Memory
-12.3MiB live, 284.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038243
054239
1208239
21531239
08631233
Stop Event
iter limit
node limit
iter limit
Counts
20 → 812
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(-.f64 (/.f64 (*.f64 c b) d) a)
(/.f64 (*.f64 c b) d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
(/.f64 (neg.f64 a) d)
(neg.f64 a)
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (- (* b c) (* a d)) (*.f64 c b))
(*.f64 c b)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(/.f64 (neg.f64 a) c)
(/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))))
(/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(/.f64 (*.f64 a d) c)
Outputs
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eval241.0ms (3.3%)

Memory
46.6MiB live, 268.5MiB allocated
Compiler

Compiled 28 359 to 3 849 computations (86.4% saved)

prune69.0ms (0.9%)

Memory
-29.6MiB live, 128.5MiB allocated
Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New1 64391 652
Fresh9615
Picked235
Done134
Total1 655211 676
Accuracy
99.8%
Counts
1 676 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.1%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
34.0%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
18.8%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
20.5%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
27.2%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
55.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d))
59.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
59.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
53.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) d)) (neg.f64 d)))
49.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
21.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d))
21.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
38.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
49.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)))
38.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
45.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
40.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
28.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
21.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
18.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))))
20.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c))))
Compiler

Compiled 387 to 355 computations (8.3% saved)

simplify265.0ms (3.6%)

Memory
-2.8MiB live, 53.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (neg.f64 a) (/.f64 d c))
cost-diff0
#s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c)))
cost-diff0
(/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
cost-diff0
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))))
cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))
cost-diff192
(*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))
cost-diff0
(neg.f64 a)
cost-diff0
(*.f64 (neg.f64 a) d)
cost-diff0
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d))
cost-diff0
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff0
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
cost-diff0
(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff0
(*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
cost-diff0
(/.f64 b d)
cost-diff0
(fma.f64 (/.f64 b d) c (neg.f64 a))
cost-diff0
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040345
058345
1103338
2194338
3487338
41082338
51584338
62226338
73069338
83694338
93928338
104037338
114056338
124081338
134111338
144244338
154304338
164310338
174311338
184311338
194339338
204379338
214395338
224395338
04395328
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
(fma.f64 (/.f64 b d) c (neg.f64 a))
(/.f64 b d)
b
d
c
(neg.f64 a)
a
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
(*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)
(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
b
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d))
(*.f64 (neg.f64 a) d)
(neg.f64 a)
a
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))))
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))
(*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))
(*.f64 d a)
d
a
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))
#s(literal 1 binary64)
(*.f64 (neg.f64 c) c)
(neg.f64 c)
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
(/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)
#s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c)))
(*.f64 (neg.f64 a) (/.f64 d c))
(neg.f64 a)
a
(/.f64 d c)
d
c
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
(fma.f64 (/.f64 b d) c (neg.f64 a))
(/.f64 b d)
b
d
c
(neg.f64 a)
a
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)
(/.f64 (*.f64 c b) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
b
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d))
(*.f64 (neg.f64 a) d)
(neg.f64 a)
a
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 a (*.f64 (neg.f64 c) c)) d)))
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 a (*.f64 (neg.f64 c) c)) d))
(*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))
(*.f64 (/.f64 a (*.f64 (neg.f64 c) c)) d)
(*.f64 d a)
d
a
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))
(/.f64 #s(literal -1 binary64) (*.f64 c c))
#s(literal 1 binary64)
(*.f64 (neg.f64 c) c)
(neg.f64 c)
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (/.f64 (*.f64 (neg.f64 a) d) c)) c))
(/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)
(/.f64 #s(approx (- b (/ (* a d) c)) (/.f64 (*.f64 (neg.f64 a) d) c)) c)
#s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c)))
#s(approx (- b (/ (* a d) c)) (/.f64 (*.f64 (neg.f64 a) d) c))
(*.f64 (neg.f64 a) (/.f64 d c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(neg.f64 a)
a
(/.f64 d c)
d
c

localize90.0ms (1.2%)

Memory
20.4MiB live, 132.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.2420136351993503
(/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)
accuracy6.4938478560973465
(*.f64 (neg.f64 a) (/.f64 d c))
accuracy27.60161087935175
#s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c)))
accuracy32.407111596009756
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
accuracy0.2414983786392092
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))
accuracy12.048523582702874
(*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))
accuracy23.262376246915778
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))
accuracy32.407111596009756
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))))
accuracy0
(neg.f64 a)
accuracy24.213870955406794
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy26.79982913378505
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d))
accuracy28.6908391511934
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy7.47833168576061
(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy9.10474163341843
(*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)
accuracy28.6908391511934
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy29.09529567643005
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
accuracy0
(neg.f64 a)
accuracy0.49628557389134786
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
accuracy2.459121652718382
(fma.f64 (/.f64 b d) c (neg.f64 a))
accuracy25.777095324387663
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
Samples
65.0ms256×0valid
Compiler

Compiled 230 to 32 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 23.0ms (49.2% of total)
ival-div: 13.0ms (27.8% of total)
ival-add: 5.0ms (10.7% of total)
ival-sub: 2.0ms (4.3% of total)
ival-neg: 2.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series72.0ms (1%)

Memory
-25.4MiB live, 93.4MiB allocated
Counts
20 → 768
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 b d) c (neg.f64 a)) (patch (fma.f64 (/.f64 b d) c (neg.f64 a)) #<representation binary64>) () ())
#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())
#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<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 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 a) d) (patch (*.f64 (neg.f64 a) d) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ())
#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b d) c (neg.f64 a)) (patch (fma.f64 (/.f64 b d) c (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b d) c (neg.f64 a)) (patch (fma.f64 (/.f64 b d) c (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b d) c (neg.f64 a)) (patch (fma.f64 (/.f64 b d) c (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b d) c (neg.f64 a)) (patch (fma.f64 (/.f64 b d) c (neg.f64 a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ())
#s(alt (/ b (pow d 2)) (taylor 0 c) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#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 (+ (pow c 2) (pow d 2)) (taylor 0 c) (#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 (+ (pow c 2) (pow d 2)) (taylor 0 c) (#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 (+ (pow c 2) (pow d 2)) (taylor 0 c) (#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 (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ())
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ())
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ())
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow c 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow c 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow c 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow c 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())) ())
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#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ())
#s(alt (/ b (pow d 2)) (taylor -inf d) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#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 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#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 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#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 (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#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 (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) d) (patch (*.f64 (neg.f64 a) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) d) (patch (*.f64 (neg.f64 a) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) d) (patch (*.f64 (neg.f64 a) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) d) (patch (*.f64 (neg.f64 a) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify184.0ms (2.5%)

Memory
22.7MiB live, 215.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04239452
113529079
241608827
082948467
Stop Event
iter limit
node limit
Counts
768 → 762
Calls
Call 1
Inputs
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(/ (* b c) (pow d 2))
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(* -1 (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(/ -1 (pow c 2))
(/ -1 (pow c 2))
(/ -1 (pow c 2))
(/ -1 (pow c 2))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(* -1 (/ (* a d) (pow c 2)))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(* -1 (/ (* a d) (pow c 2)))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(* -1 (/ (* a d) c))
(/ (- (* b c) (* a d)) c)
(/ (- (* b c) (* a d)) c)
(/ (- (* b c) (* a d)) c)
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ (* b c) (pow d 2))
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(/ (* b c) d)
(* c (+ (* -1 (/ a c)) (/ b d)))
(* c (+ (* -1 (/ a c)) (/ b d)))
(* c (+ (* -1 (/ a c)) (/ b d)))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ b c)
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c)
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(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))))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(* b c)
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(/ -1 (pow c 2))
(/ -1 (pow c 2))
(/ -1 (pow c 2))
(/ -1 (pow c 2))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/ (* b c) (pow d 2))
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))
(/ (* b c) d)
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(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))))
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(* b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(/ -1 (pow c 2))
(/ -1 (pow c 2))
(/ -1 (pow c 2))
(/ -1 (pow c 2))
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* -1 (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (pow c 2)))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (pow c 2)))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(* -1 (/ (* a d) c))
(- b (/ (* a d) c))
(- b (/ (* a d) c))
(- b (/ (* a d) c))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(/ (* b c) (pow d 2))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(/ (* b c) d)
(* b (+ (* -1 (/ a b)) (/ c d)))
(* b (+ (* -1 (/ a b)) (/ c d)))
(* b (+ (* -1 (/ a b)) (/ c d)))
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b c)
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(/ b c)
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(/ b c)
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
b
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(/ (* b c) (pow d 2))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(/ (* b c) d)
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ b (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
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b
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(pow d 2)
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(pow d 2)
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(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (/ (* a d) c))
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
Outputs
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(* -1 a)
(neg.f64 a)
(- (/ (* b c) d) a)
(-.f64 (/.f64 (*.f64 c b) d) a)
(- (/ (* b c) d) a)
(-.f64 (/.f64 (*.f64 c b) d) a)
(- (/ (* b c) d) a)
(-.f64 (/.f64 (*.f64 c b) d) a)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(/ (* b c) (pow d 2))
(*.f64 (/.f64 c (*.f64 d d)) b)
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))))
(fma.f64 (/.f64 c d) (/.f64 b d) (*.f64 (/.f64 (neg.f64 b) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))))
(fma.f64 (/.f64 c d) (/.f64 b d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (pow.f64 d #s(literal 4 binary64))))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))))
(fma.f64 (/.f64 c d) (/.f64 b d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64))))))
(/ b (pow d 2))
(/.f64 b (*.f64 d d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d d)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 b (*.f64 d d)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 b (*.f64 d d)))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(/ -1 (pow c 2))
(/.f64 #s(literal -1 binary64) (*.f64 c c))
(/ -1 (pow c 2))
(/.f64 #s(literal -1 binary64) (*.f64 c c))
(/ -1 (pow c 2))
(/.f64 #s(literal -1 binary64) (*.f64 c c))
(/ -1 (pow c 2))
(/.f64 #s(literal -1 binary64) (*.f64 c c))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(/ (- (* b c) (* a d)) c)
(-.f64 b (/.f64 (*.f64 d a) c))
(/ (- (* b c) (* a d)) c)
(-.f64 b (/.f64 (*.f64 d a) c))
(/ (- (* b c) (* a d)) c)
(-.f64 b (/.f64 (*.f64 d a) c))
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (/.f64 (neg.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c))) c)) b) c)
(/ (* b c) (pow d 2))
(*.f64 (/.f64 c (*.f64 d d)) b)
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(*.f64 (-.f64 (/.f64 b (*.f64 d d)) (/.f64 (/.f64 a d) c)) c)
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(*.f64 (-.f64 (/.f64 b (*.f64 d d)) (/.f64 (/.f64 a d) c)) c)
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(*.f64 (-.f64 (/.f64 b (*.f64 d d)) (/.f64 (/.f64 a d) c)) c)
(/ (* b c) d)
(/.f64 (*.f64 c b) d)
(* c (+ (* -1 (/ a c)) (/ b d)))
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c)
(* c (+ (* -1 (/ a c)) (/ b d)))
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c)
(* c (+ (* -1 (/ a c)) (/ b d)))
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c)
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (/.f64 (neg.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c))) c)) b) c)
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c)
(/.f64 (*.f64 b (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (/.f64 d c) (/.f64 d c))) b) c)
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)
(/.f64 (-.f64 (*.f64 b (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (fma.f64 (pow.f64 d #s(literal 4 binary64)) (/.f64 b (pow.f64 c #s(literal 4 binary64))) b)) (neg.f64 c))
(/ b (pow c 2))
(/.f64 (/.f64 b c) c)
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/.f64 (*.f64 (neg.f64 b) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (*.f64 c c))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (/.f64 d c) (/.f64 d c))) b) (*.f64 c c))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/.f64 (neg.f64 (-.f64 (*.f64 b (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (fma.f64 (pow.f64 d #s(literal 4 binary64)) (/.f64 b (pow.f64 c #s(literal 4 binary64))) b))) (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (/.f64 (neg.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c))) c)) b) c)
(* b c)
(*.f64 c b)
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(/ -1 (pow c 2))
(/.f64 #s(literal -1 binary64) (*.f64 c c))
(/ -1 (pow c 2))
(/.f64 #s(literal -1 binary64) (*.f64 c c))
(/ -1 (pow c 2))
(/.f64 #s(literal -1 binary64) (*.f64 c c))
(/ -1 (pow c 2))
(/.f64 #s(literal -1 binary64) (*.f64 c c))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (/.f64 (neg.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c))) c)) b) c)
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (/.f64 (neg.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c))) c)) b) c)
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
b
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 d a) c))
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 d a) c))
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 d a) c))
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
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(/.f64 (fma.f64 b (+.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) c) (*.f64 (pow.f64 c #s(literal 7 binary64)) (/.f64 (neg.f64 b) (pow.f64 d #s(literal 6 binary64))))) (*.f64 d d))
(/ b (pow d 2))
(/.f64 b (*.f64 d d))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d d)))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d)))) b) (*.f64 d d))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64))) (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d)))) b)) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d)
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d)
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d)
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d)
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d)
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d)
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d)
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d)
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d)
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d)
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d)
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d)
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d)
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)
(* -1 (/ (* a d) c))
(/.f64 (*.f64 (neg.f64 a) d) c)

rewrite168.0ms (2.3%)

Memory
12.5MiB live, 173.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040296
058290
1214289
21448288
08243279
Stop Event
iter limit
node limit
iter limit
Counts
20 → 550
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
(fma.f64 (/.f64 b d) c (neg.f64 a))
(/.f64 b d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
(*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)
(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d))
(*.f64 (neg.f64 a) d)
(neg.f64 a)
(*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))))
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
(/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)
#s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c)))
(*.f64 (neg.f64 a) (/.f64 d c))
Outputs
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eval276.0ms (3.8%)

Memory
4.8MiB live, 277.9MiB allocated
Compiler

Compiled 20 967 to 2 579 computations (87.7% saved)

prune113.0ms (1.5%)

Memory
6.3MiB live, 122.8MiB allocated
Pruning

24 alts after pruning (14 fresh and 10 done)

PrunedKeptTotal
New1 38761 393
Fresh2810
Picked145
Done066
Total1 390241 414
Accuracy
99.8%
Counts
1 414 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.1%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
34.0%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
42.3%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d))))
31.9%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
18.8%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
20.5%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
27.2%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
59.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
59.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
55.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 (*.f64 c b) d)) d))
53.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) d)) (neg.f64 d)))
49.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
21.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d))
21.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
38.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
49.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)))
38.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
40.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
28.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
30.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
21.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
18.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c)))))
20.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c))))
18.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c)))))
Compiler

Compiled 791 to 416 computations (47.4% saved)

regimes103.0ms (1.4%)

Memory
-11.1MiB live, 114.6MiB allocated
Counts
44 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d)))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) b))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c #s(approx (+ (* d d) (* c c)) (*.f64 d d))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) d)) (neg.f64 d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) (neg.f64 b) b) d) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) a (neg.f64 a))) d))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 (*.f64 c b) d)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c)))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
Calls

5 calls:

32.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
22.0ms
d
21.0ms
b
13.0ms
a
13.0ms
c
Results
AccuracySegmentsBranch
67.1%3a
71.6%5b
83.9%4c
87.9%4d
75.0%2(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes11.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
84.1%3d
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes11.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
84.1%3d
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes53.0ms (0.7%)

Memory
-29.7MiB live, 9.6MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
Calls

2 calls:

42.0ms
d
9.0ms
c
Results
AccuracySegmentsBranch
78.8%3c
82.2%3d
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes18.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
27 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
Calls

2 calls:

8.0ms
d
8.0ms
c
Results
AccuracySegmentsBranch
72.7%3c
80.3%4d
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes66.0ms (0.9%)

Memory
-11.6MiB live, 27.0MiB allocated
Counts
26 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
Calls

3 calls:

49.0ms
c
8.0ms
d
7.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
70.4%4c
58.5%4(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
72.9%4d
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes8.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
Calls

1 calls:

6.0ms
d
Results
AccuracySegmentsBranch
69.7%3d
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes7.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
d
1.0ms
b
1.0ms
c
1.0ms
a
1.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
38.8%1(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
38.8%1a
38.8%1b
38.8%1c
38.8%1d
Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch59.0ms (0.8%)

Memory
-9.6MiB live, 29.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
7.545654784216946e+111
1.090913153398282e+116
25.0ms
3.1824776724416996e-136
1.2610990892990337e-129
15.0ms
-3.3345096063051595e-71
-9.73097499722134e-78
Samples
28.0ms416×0valid
Compiler

Compiled 623 to 572 computations (8.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 11.0ms (62.6% of total)
ival-div: 3.0ms (17.1% of total)
ival-sub: 2.0ms (11.4% of total)
ival-add: 2.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
5.032165052520358e-83
1.7922386526325935e-81
1.0ms
-3.3345096063051595e-71
-9.73097499722134e-78
Samples
8.0ms112×0valid
Compiler

Compiled 338 to 338 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (63.8% of total)
ival-sub: 1.0ms (21.3% of total)
ival-div: 1.0ms (21.3% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.032165052520358e-83
1.7922386526325935e-81
1.0ms
-3.3345096063051595e-71
-9.73097499722134e-78
Compiler

Compiled 338 to 338 computations (0% saved)

bsearch2.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.032165052520358e-83
1.7922386526325935e-81
1.0ms
-3.3345096063051595e-71
-9.73097499722134e-78
Compiler

Compiled 338 to 338 computations (0% saved)

bsearch15.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
2.2060711832275385e+128
9.060340339344411e+129
1.0ms
5.032165052520358e-83
1.7922386526325935e-81
1.0ms
-3.3345096063051595e-71
-9.73097499722134e-78
Samples
8.0ms112×0valid
Compiler

Compiled 426 to 460 computations (-8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (64.6% of total)
ival-div: 1.0ms (21.5% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch48.0ms (0.7%)

Memory
-34.9MiB live, 26.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
7.545654784216946e+111
1.090913153398282e+116
12.0ms
6.528786052755482e-171
3.0276764451634616e-169
22.0ms
-3.3345096063051595e-71
-9.73097499722134e-78
Samples
34.0ms256×0valid
Compiler

Compiled 347 to 431 computations (-24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 23.0ms (85.1% of total)
ival-div: 2.0ms (7.4% of total)
ival-sub: 1.0ms (3.7% of total)
ival-add: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
5.032165052520358e-83
1.7922386526325935e-81
1.0ms
-3.3345096063051595e-71
-9.73097499722134e-78
Samples
5.0ms64×0valid
Compiler

Compiled 162 to 258 computations (-59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (70.5% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify30.0ms (0.4%)

Memory
-27.1MiB live, 51.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077639
196639
2122639
3142639
4154639
5159639
6160639
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 8291364149639275/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 76000000000000001524273551586825683027586779153129007272535287689807810560048090699694045758446094027065611255808 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 2500000000000000149457695615129037962937322563084522677184089874580502051437782734077640085266650350861420498061080885341471113216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -839232961441515/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1835612903174747/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 900000000000000014003474516520158721841381257228955290032793522387750403048280132938486850923542702908585652781056 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -839232961441515/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 2349585739513001/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
Outputs
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 8291364149639275/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 76000000000000001524273551586825683027586779153129007272535287689807810560048090699694045758446094027065611255808 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 8291364149639275/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 76000000000000001524273551586825683027586779153129007272535287689807810560048090699694045758446094027065611255808 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (+.f64 (*.f64 d d) (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 2500000000000000149457695615129037962937322563084522677184089874580502051437782734077640085266650350861420498061080885341471113216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 2500000000000000149457695615129037962937322563084522677184089874580502051437782734077640085266650350861420498061080885341471113216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -839232961441515/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1835612903174747/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 900000000000000014003474516520158721841381257228955290032793522387750403048280132938486850923542702908585652781056 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -839232961441515/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1835612903174747/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 900000000000000014003474516520158721841381257228955290032793522387750403048280132938486850923542702908585652781056 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -839232961441515/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 2349585739513001/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))

soundness603.0ms (8.2%)

Memory
-0.7MiB live, 436.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911511
16231461
218611441
354891432
085011356
038243
054239
1208239
21531239
08631233
05369768
116399414
247419168
085478734
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 486 to 279 computations (42.6% saved)

preprocess119.0ms (1.6%)

Memory
-1.5MiB live, 155.2MiB allocated
Compiler

Compiled 662 to 204 computations (69.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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