Complex division, imag part

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze41.0ms (0.5%)

Memory
-14.1MiB live, 25.4MiB 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)

sample1.3s (13.9%)

Memory
37.6MiB live, 726.6MiB allocated
Samples
868.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 615.0ms
ival-mult: 458.0ms (74.4% of total)
ival-sub: 67.0ms (10.9% of total)
ival-div: 47.0ms (7.6% of total)
ival-add: 34.0ms (5.5% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain218.0ms (2.4%)

Memory
-19.7MiB live, 145.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1110-2(-4.3616073937336135e+63 -8.555033305593582e-187 3.425951941371607e-161 4.0780332336260603e-219)(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
30-0-(-.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/o540
(*.f64 b c)overflow37
(-.f64 (*.f64 b c) (*.f64 a d))overflow62
(*.f64 a d)overflow30
(+.f64 (*.f64 c c) (*.f64 d d))overflow117
(*.f64 c c)overflow67
(*.f64 d d)overflow61
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o370
(+.f64 (*.f64 c c) (*.f64 d d))overflow117
(*.f64 c c)overflow67
(*.f64 d d)overflow61
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n80
(*.f64 b c)overflow37
(-.f64 (*.f64 b c) (*.f64 a d))overflow62
(*.f64 a d)overflow30
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/n40
(*.f64 b c)underflow22
(-.f64 (*.f64 b c) (*.f64 a d))underflow7
(*.f64 a d)underflow32
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u30
(+.f64 (*.f64 c c) (*.f64 d d))underflow10
(*.f64 c c)underflow53
(*.f64 d d)underflow61
-.f64(-.f64 (*.f64 b c) (*.f64 a d))nan-rescue30
(*.f64 b c)overflow37
(*.f64 a d)overflow30
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u30
(*.f64 b c)underflow22
(-.f64 (*.f64 b c) (*.f64 a d))underflow7
(*.f64 a d)underflow32
(+.f64 (*.f64 c c) (*.f64 d d))underflow10
(*.f64 c c)underflow53
(*.f64 d d)underflow61
Confusion
Predicted +Predicted -
+1092
-0145
Precision
1.0
Recall
0.9819819819819819
Confusion?
Predicted +Predicted MaybePredicted -
+10902
-00145
Precision?
1.0
Recall?
0.9819819819819819
Freqs
test
numberfreq
0147
1106
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
54.0ms512×0valid
Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 28.0ms (77.5% of total)
ival-div: 3.0ms (8.3% of total)
ival-sub: 2.0ms (5.5% of total)
ival-add: 2.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess427.0ms (4.7%)

Memory
15.2MiB live, 87.4MiB allocated
Algorithm
egg-herbie
Rules
675×unsub-neg
491×div-sub
438×distribute-rgt-in
437×distribute-lft-in
376×lower-fma.f64
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 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.4%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify215.0ms (2.4%)

Memory
-33.6MiB live, 65.5MiB 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))
Rules
376×lower-fma.f64
376×lower-fma.f32
318×times-frac
256×lower-*.f32
252×lower-*.f64
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)

localize31.0ms (0.3%)

Memory
30.2MiB live, 68.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a d)
accuracy0.0078125
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy0.6679666858302059
(-.f64 (*.f64 b c) (*.f64 a d))
accuracy26.39485969538741
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
22.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 10.0ms (73.9% of total)
ival-sub: 1.0ms (7.4% of total)
ival-div: 1.0ms (7.4% of total)
ival-add: 1.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-5.7MiB live, 32.5MiB 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 (pow c 2) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#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) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#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) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#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) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#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) (+ (pow c 2) (pow d 2))) (taylor inf b) (#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) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#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) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#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) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#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) (+ (pow c 2) (pow d 2))) (taylor -inf b) (#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 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#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 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#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 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#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 (*.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 (/ 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>) () ())) ())
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#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 (* b c) (taylor 0 b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 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 (* 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 (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
Calls

42 calls:

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

simplify198.0ms (2.2%)

Memory
-15.9MiB live, 220.6MiB allocated
Algorithm
egg-herbie
Rules
3 965×lower-fma.f64
3 965×lower-fma.f32
1 793×lower-*.f64
1 793×lower-*.f32
1 158×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911511
16231461
218631441
354841432
084871356
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))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* -1 (/ (* 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 (+ (* -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)))
(* -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)))))))
(* -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 (* -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)
(* -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 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) (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) (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))))))
(/ 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) (/ (* 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 (* -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))
(- (* b c) (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(* b c)
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(* b c)
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) 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)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* a (- (/ (* b c) a) d))
(* a (- (/ (* b c) a) d))
(* a (- (/ (* b c) a) d))
(* -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))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* d (- (/ (* b c) d) a))
(* d (- (/ (* b c) d) a))
(* d (- (/ (* b c) d) a))
(* -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))))
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* 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))
(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))
(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))
(pow c 2)
(*.f64 c c)
(+ (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))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 d) (/.f64 a (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 d) (/.f64 a (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 d) (/.f64 a (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 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(/ (* 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)))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c d) c) a (*.f64 b c)) 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 (/.f64 (neg.f64 c) (pow.f64 d #s(literal 4 binary64))) b (/.f64 a (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (/.f64 d c) d) b (*.f64 a d)) c)) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 d) d) d) c) a (*.f64 b (*.f64 d d))) c)) c)) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (/.f64 d c) d) b (*.f64 a d)) 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 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 d) d) d) c) a (*.f64 b (*.f64 d d))) c)) c)) c)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)
(+ (* -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 d) (/.f64 a (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 d) (/.f64 a (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 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (/.f64 d c) d) b (*.f64 a d)) c)) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 (fma.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d (/.f64 (neg.f64 b) (*.f64 (*.f64 c c) c))) (*.f64 d d) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c d) c) a (*.f64 b c)) d) a) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 c) c) c) (/.f64 b d) (*.f64 (*.f64 a c) c)) d)) d) a) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c d) c) a (*.f64 b c)) 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 b c (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 c) c) c) (/.f64 b d) (*.f64 (*.f64 a c) c)) d)) d) a) d)
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(- (* b c) (* a d))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(- (* b c) (* a d))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(- (* b c) (* a d))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* b c)
(*.f64 b c)
(* b (+ c (* -1 (/ (* a d) b))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* b (+ c (* -1 (/ (* a d) b))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* b (+ c (* -1 (/ (* a d) b))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* b c)
(*.f64 b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(- (* b c) (* a d))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(- (* b c) (* a d))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(- (* b c) (* a d))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* b c)
(*.f64 b c)
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* b c)
(*.f64 b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* b c)
(*.f64 b c)
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(* a (- (/ (* b c) a) d))
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a)
(* a (- (/ (* b c) a) d))
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a)
(* a (- (/ (* b c) a) d))
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a)
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a)
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a)
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a)
(* b c)
(*.f64 b c)
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(* d (- (/ (* b c) d) a))
(*.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
(* d (- (/ (* b c) d) a))
(*.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
(* d (- (/ (* b c) d) a))
(*.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)

rewrite452.0ms (5%)

Memory
2.4MiB live, 385.4MiB allocated
Rules
2 793×lower-fma.f64
2 793×lower-fma.f32
2 673×lower-*.f32
2 669×lower-*.f64
1 617×lower-/.f32
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
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 (*.f64 c c) c (*.f64 (*.f64 d d) d)) (-.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)))) (fma.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (*.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 (neg.f64 d) d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 (neg.f64 d) d) (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d))))) (fma.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (-.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c)))))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d d (*.f64 c c)))) (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (+.f64 d c))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c))) (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c)))) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))))
(*.f64 (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (-.f64 c d) (+.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 d c)) (-.f64 c d))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c))))
(*.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c))))
(*.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
(*.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c))))))
(*.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c)))))
(*.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c)))))
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c)))))
(*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (*.f64 (-.f64 c d) (+.f64 d c))))
(*.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64))
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d d (*.f64 c c))) (+.f64 d c)) (-.f64 c d))
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(neg.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b c) b)) (*.f64 (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (*.f64 (neg.f64 d) a) (fma.f64 a d (*.f64 b c)))))) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (*.f64 (neg.f64 d) a) (fma.f64 a d (*.f64 b c)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b c) b)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b c) b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)) (*.f64 a d)) (fma.f64 a d (*.f64 b c))) (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))) (fma.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)) (-.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)) (*.f64 (*.f64 (*.f64 b c) c) b)) (*.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b c) b)) (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (fma.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b c) b) (*.f64 (*.f64 (*.f64 a d) a) (*.f64 (*.f64 a d) d)))) (fma.f64 (*.f64 a d) (fma.f64 (neg.f64 b) c (*.f64 a d)) (*.f64 (*.f64 (*.f64 b c) c) b)) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) (fma.f64 (neg.f64 d) a (*.f64 b c)) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 (*.f64 d #s(literal -1 binary64)) a (*.f64 b c))
(fma.f64 (*.f64 (*.f64 b c) c) (/.f64 b (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 (*.f64 (*.f64 b c) b) (/.f64 c (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(fma.f64 (*.f64 b b) (/.f64 (*.f64 c c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 (pow.f64 (*.f64 b c) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 b c) #s(literal 3/2 binary64)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))))
(fma.f64 (*.f64 (*.f64 b b) b) (/.f64 (*.f64 (*.f64 c c) c) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))))
(fma.f64 (*.f64 (*.f64 c c) c) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))))
(fma.f64 #s(literal -1 binary64) (*.f64 a d) (*.f64 b c))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (/.f64 (*.f64 b c) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (/.f64 #s(literal 1 binary64) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b c) b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))))
(fma.f64 (*.f64 a d) #s(literal -1 binary64) (*.f64 b c))
(fma.f64 a (neg.f64 d) (*.f64 b c))
(fma.f64 (*.f64 b c) (/.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))))
(fma.f64 (*.f64 b c) (/.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 b (/.f64 (*.f64 (*.f64 b c) c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 b c (*.f64 (neg.f64 d) a))
(fma.f64 d (neg.f64 a) (*.f64 b c))
(fma.f64 (*.f64 c c) (/.f64 (*.f64 b b) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 c (/.f64 (*.f64 (*.f64 b c) b) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 c b (*.f64 (neg.f64 d) a))
(-.f64 (fma.f64 b c #s(literal 0 binary64)) (*.f64 a d))
(-.f64 (*.f64 (*.f64 (*.f64 b c) c) (/.f64 b (fma.f64 a d (*.f64 b c)))) (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c)))))
(-.f64 (*.f64 (*.f64 (*.f64 b b) b) (/.f64 (*.f64 (*.f64 c c) c) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (*.f64 (neg.f64 b) c)) (*.f64 (neg.f64 d) a))
(+.f64 (*.f64 (*.f64 (*.f64 b c) c) (/.f64 b (fma.f64 a d (*.f64 b c)))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(+.f64 (*.f64 (*.f64 (*.f64 b b) b) (/.f64 (*.f64 (*.f64 c c) c) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))))
(+.f64 (*.f64 (neg.f64 d) a) (*.f64 b c))
(+.f64 (*.f64 b c) (*.f64 (neg.f64 d) a))
(*.f64 b c)
(*.f64 c b)
(*.f64 (neg.f64 (neg.f64 d)) a)
(*.f64 (neg.f64 (neg.f64 a)) d)
(*.f64 (neg.f64 d) (neg.f64 a))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 d) a))
(*.f64 (neg.f64 a) (neg.f64 d))
(*.f64 #s(literal 1 binary64) (*.f64 a d))
(*.f64 a (neg.f64 (neg.f64 d)))
(*.f64 a d)
(*.f64 d (neg.f64 (neg.f64 a)))
(*.f64 d a)
(neg.f64 (*.f64 (neg.f64 d) a))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 d) a))

eval178.0ms (2%)

Memory
-14.0MiB live, 180.7MiB allocated
Compiler

Compiled 24 549 to 1 318 computations (94.6% saved)

prune117.0ms (1.3%)

Memory
-11.1MiB live, 230.5MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New63115646
Fresh000
Picked101
Done000
Total63215647
Accuracy
99.6%
Counts
647 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.2%
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))))
29.5%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
37.2%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
20.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))))
36.0%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d)))
38.4%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
58.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))))
59.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c))
48.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
44.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c d) c) a (*.f64 b c)) d) a) d))
56.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (/.f64 d c) d) b (*.f64 a d)) c)) c))
39.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
47.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
38.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
35.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
Compiler

Compiled 558 to 284 computations (49.1% saved)

simplify218.0ms (2.4%)

Memory
23.8MiB live, 99.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 c c)
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b 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 d d)))
cost-diff0
(/.f64 a (fma.f64 c c (*.f64 d d)))
cost-diff0
(neg.f64 d)
cost-diff0
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
cost-diff0
(/.f64 b c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
cost-diff0
(/.f64 (neg.f64 d) c)
cost-diff0
(fma.f64 (/.f64 (neg.f64 d) c) a b)
cost-diff0
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c))
Rules
1 092×lower-fma.f32
1 088×lower-fma.f64
756×lower-*.f32
751×lower-*.f64
625×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034236
053236
191236
2155234
3299234
4590234
5924234
61612234
72426234
83661234
94207234
104357234
114402234
124431234
134434234
144638234
154740234
164854234
175200234
185200234
195200234
205200234
215200234
05200234
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 (neg.f64 d) c) a b) c))
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)
(fma.f64 (/.f64 (neg.f64 d) c) a b)
(/.f64 (neg.f64 d) c)
(neg.f64 d)
d
c
a
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 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
(neg.f64 d)
d
(/.f64 a (fma.f64 c c (*.f64 d d)))
a
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))))
#s(literal 1 binary64)
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
c
(fma.f64 (neg.f64 d) a (*.f64 b c))
(neg.f64 d)
a
(*.f64 b c)
b
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c))
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c)
(fma.f64 (/.f64 (neg.f64 d) c) a b)
(fma.f64 (/.f64 (neg.f64 a) c) d b)
(/.f64 (neg.f64 d) c)
(neg.f64 d)
d
c
a
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 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a))
(neg.f64 d)
d
(/.f64 a (fma.f64 c c (*.f64 d d)))
(/.f64 a (fma.f64 d d (*.f64 c c)))
a
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
c
(*.f64 d d)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(-.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
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))))
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
#s(literal 1 binary64)
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 a) d (*.f64 c b)))
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
c
(fma.f64 (neg.f64 d) a (*.f64 b c))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(neg.f64 d)
a
(*.f64 b c)
(*.f64 c b)
b

localize155.0ms (1.7%)

Memory
-4.9MiB live, 153.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(fma.f64 d d (*.f64 c c))
accuracy0.2617159976055602
(fma.f64 (neg.f64 d) a (*.f64 b c))
accuracy0.41473518274153814
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))))
accuracy26.081689245292576
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))
accuracy0
(*.f64 a d)
accuracy0.6679666858302059
(-.f64 (*.f64 b c) (*.f64 a d))
accuracy26.39485969538741
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
accuracy30.625025904622103
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy0.00390625
(fma.f64 c c (*.f64 d d))
accuracy9.565950780941208
(/.f64 a (fma.f64 c c (*.f64 d d)))
accuracy11.213684352751818
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
accuracy28.41405665465555
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
accuracy0
(/.f64 b c)
accuracy33.801918059492465
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
accuracy0
(neg.f64 d)
accuracy1.1748425943871337
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)
accuracy1.9545883856036022
(fma.f64 (/.f64 (neg.f64 d) c) a b)
accuracy25.959686725449508
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c))
Samples
81.0ms256×0valid
Compiler

Compiled 220 to 27 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 33.0ms (52.1% of total)
ival-add: 17.0ms (26.8% of total)
ival-div: 11.0ms (17.4% of total)
ival-sub: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series75.0ms (0.8%)

Memory
6.4MiB live, 125.5MiB allocated
Counts
21 → 744
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) (patch (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (neg.f64 d) c) a b) (patch (fma.f64 (/.f64 (neg.f64 d) c) a b) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 d) c) (patch (/.f64 (neg.f64 d) 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 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())
#s(alt (/.f64 a (fma.f64 c c (*.f64 d d))) (patch (/.f64 a (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 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.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>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) #<representation binary64>) () ())
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 d) (/ (* b c) a))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 d) (/ (* b c) a))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 d) (/ (* b c) a))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ d (* -1 (/ (* b c) a))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ d (* -1 (/ (* b c) a))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ d (* -1 (/ (* b c) a))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor 0 b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
Calls

186 calls:

TimeVariablePointExpression
17.0ms
d
@0
(* (neg d) (/ a (+ (* c c) (* d d))))
3.0ms
d
@inf
(/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c)))
3.0ms
d
@-inf
(/ (neg d) c)
1.0ms
a
@0
(* (neg d) (/ a (+ (* c c) (* d d))))
1.0ms
a
@inf
(* (neg d) (/ a (+ (* c c) (* d d))))

simplify249.0ms (2.7%)

Memory
16.4MiB live, 321.4MiB allocated
Algorithm
egg-herbie
Rules
4 074×lower-fma.f64
4 074×lower-fma.f32
3 649×lower-*.f64
3 649×lower-*.f32
1 670×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069610309
123769878
084639386
Stop Event
iter limit
node limit
Counts
744 → 738
Calls
Call 1
Inputs
(* -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 (+ (* -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)))
(* -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)))))))
(* -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 (* -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)
(* -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 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) (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) (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))))))
(/ 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) (/ (* 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 (* -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)
(+ (* -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)))
(* 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 (* 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)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) 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 (/ (* 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)))
(* 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 (+ (* -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))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/ 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)
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(* -1 (/ (* a d) c))
(* d (+ (* -1 (/ a c)) (/ b d)))
(* d (+ (* -1 (/ a c)) (/ b d)))
(* d (+ (* -1 (/ a c)) (/ b d)))
(* -1 (/ (* a d) c))
(* -1 (* d (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* d (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* d (+ (* -1 (/ b d)) (/ a c))))
(* -1 (/ (* a d) c))
(/ (+ (* -1 (* a d)) (* b c)) c)
(/ (+ (* -1 (* a d)) (* b c)) c)
(/ (+ (* -1 (* a d)) (* b c)) c)
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(* -1 (/ (* a d) c))
(* a (+ (* -1 (/ d c)) (/ b a)))
(* a (+ (* -1 (/ d c)) (/ b a)))
(* a (+ (* -1 (/ d c)) (/ b a)))
(* -1 (/ (* a d) c))
(* -1 (* a (+ (* -1 (/ b a)) (/ d c))))
(* -1 (* a (+ (* -1 (/ b a)) (/ d c))))
(* -1 (* a (+ (* -1 (/ b a)) (/ d c))))
(* -1 (/ (* a d) c))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
b
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
b
(* -1 (* b (- (/ (* a d) (* b c)) 1)))
(* -1 (* b (- (/ (* a d) (* b c)) 1)))
(* -1 (* b (- (/ (* a d) (* b c)) 1)))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ d c))
(* -1 (/ 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))))
(/ (* 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)))
(* -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)))))))
(* -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 (* -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)
(* -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 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) (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) (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))))))
(/ 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) (/ (* 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 (* -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)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
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(* -1 (* d (+ (/ 1 a) (/ (* b c) (* (pow a 2) d)))))
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a))))
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* b (* c (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))))) (* a d)) (/ (pow c 2) a)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a))))
(* -1 (/ d a))
(+ (* -1 (/ d a)) (* -1 (/ (* b c) (pow a 2))))
(+ (* -1 (/ d a)) (* c (- (* -1 (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2)))))
(+ (* -1 (/ d a)) (* c (- (* c (- (* -1 (/ (* b (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (* a d))) (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2)))))
(/ c b)
(* c (+ (/ 1 b) (/ (* a d) (* (pow b 2) c))))
(* c (- (+ (/ 1 b) (/ (pow d 2) (* b (pow c 2)))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2)))))))
(* c (- (+ (/ 1 b) (+ (/ (* a (* d (- (/ (pow d 2) b) (* -1 (/ (* (pow a 2) (pow d 2)) (pow b 3)))))) (* b (pow c 3))) (/ (pow d 2) (* b (pow c 2))))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2)))))))
(/ c b)
(* -1 (* c (- (* -1 (/ (* a d) (* (pow b 2) c))) (/ 1 b))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow d 2) b)) (/ (* a (* d (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))))) (* b c))) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b))))
(/ (+ (pow c 2) (pow d 2)) (* b c))
(+ (/ c b) (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 2))) (/ (pow d 2) (* b c))))
(+ (* a (- (/ (* a (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 3))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c))))
(+ (* a (- (* a (- (/ (* a (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow c 4))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow c 3)))))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c))))
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))
(/ (+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) a)
(/ (- (+ (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) a)
(/ (- (+ (* -1 (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 4)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3))))) a)
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))
(* -1 (/ (+ d (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (pow c 2) d))) a))
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* a (pow d 3)))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a))
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* a (pow d 4))) (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3)))) a)) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a))
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))
(+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* -1 (/ (* b (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 3)))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2))))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* b (- (* -1 (/ (* b (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow d 4)))) (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow d 3))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2))))))
(/ (+ (pow c 2) (pow d 2)) (* b c))
(/ (+ c (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))) (/ (pow d 2) c))) b)
(/ (- (+ c (+ (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3))) (/ (pow d 2) c))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))))) b)
(/ (- (+ c (+ (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 4))) (/ (pow d 2) c))) (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3)))))) b)
(/ (+ (pow c 2) (pow d 2)) (* b c))
(* -1 (/ (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) c))) b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* b (pow c 3))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* b (pow c 4)))) (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) b)) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* d (+ (* -1 a) (/ (* b c) d)))
(* d (+ (* -1 a) (/ (* b c) d)))
(* d (+ (* -1 a) (/ (* b c) d)))
(* -1 (* a d))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* a (+ (* -1 d) (/ (* b c) a)))
(* a (+ (* -1 d) (/ (* b c) a)))
(* a (+ (* -1 d) (/ (* b c) a)))
(* -1 (* a d))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(* -1 (* a d))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* b c)
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* a d))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* b c)
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
Outputs
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (neg.f64 b) (fma.f64 d (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (neg.f64 b) (fma.f64 d (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (neg.f64 b) (fma.f64 d (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c)))))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 c (/.f64 a (*.f64 (*.f64 d d) d)) (/.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 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 a (*.f64 (*.f64 d d) d))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) (fma.f64 (neg.f64 b) (*.f64 d (/.f64 d (*.f64 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 (neg.f64 d) (/.f64 a c) (fma.f64 (*.f64 (*.f64 d d) d) (/.f64 a (*.f64 (*.f64 c c) c)) b)) (*.f64 b (*.f64 d (/.f64 d (*.f64 c c))))) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (neg.f64 (fma.f64 (/.f64 d c) a (neg.f64 b))) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 b (*.f64 d (/.f64 d c)) (*.f64 d a))) 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))
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 d a (/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 (*.f64 d d) d) c) (*.f64 (*.f64 b d) d)) c)))) c) b)) c)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 b (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 b (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 b (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(fma.f64 (neg.f64 d) (/.f64 a (*.f64 c c)) (/.f64 b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(fma.f64 (neg.f64 (fma.f64 b (/.f64 d (*.f64 (*.f64 c c) c)) (/.f64 a (*.f64 c c)))) d (/.f64 b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 (fma.f64 (fma.f64 d (/.f64 a (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 (neg.f64 b) (*.f64 (*.f64 c c) c))) d (/.f64 (neg.f64 a) (*.f64 c c))) d (/.f64 b c))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/.f64 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 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)
(/.f64 (+.f64 (fma.f64 (neg.f64 b) (*.f64 (*.f64 c c) (/.f64 c (*.f64 (*.f64 d d) d))) (/.f64 (*.f64 b c) d)) (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a)) d)
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
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(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* b c)
(*.f64 b c)
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(* d (+ (* -1 a) (/ (* b c) d)))
(*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
(* d (+ (* -1 a) (/ (* b c) d)))
(*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
(* d (+ (* -1 a) (/ (* b c) d)))
(*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
(* b c)
(*.f64 b c)
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(* a (+ (* -1 d) (/ (* b c) a)))
(*.f64 (fma.f64 b (/.f64 c a) (neg.f64 d)) a)
(* a (+ (* -1 d) (/ (* b c) a)))
(*.f64 (fma.f64 b (/.f64 c a) (neg.f64 d)) a)
(* a (+ (* -1 d) (/ (* b c) a)))
(*.f64 (fma.f64 b (/.f64 c a) (neg.f64 d)) a)
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(*.f64 (fma.f64 b (/.f64 c a) (neg.f64 d)) a)
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(*.f64 (fma.f64 b (/.f64 c a) (neg.f64 d)) a)
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(*.f64 (fma.f64 b (/.f64 c a) (neg.f64 d)) a)
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* b c)
(*.f64 b c)
(* b (+ c (* -1 (/ (* a d) b))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d b) c) b)
(* b (+ c (* -1 (/ (* a d) b))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d b) c) b)
(* b (+ c (* -1 (/ (* a d) b))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d b) c) b)
(* b c)
(*.f64 b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(*.f64 (fma.f64 d (/.f64 a b) (neg.f64 c)) (neg.f64 b))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(*.f64 (fma.f64 d (/.f64 a b) (neg.f64 c)) (neg.f64 b))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(*.f64 (fma.f64 d (/.f64 a b) (neg.f64 c)) (neg.f64 b))
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(* b c)
(*.f64 b c)
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(* b c)
(*.f64 b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 d c) a (neg.f64 b)))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 d c) a (neg.f64 b)))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 d c) a (neg.f64 b)))

rewrite303.0ms (3.3%)

Memory
1.1MiB live, 364.8MiB allocated
Rules
2 450×lower-/.f32
2 443×lower-/.f64
2 073×lower-fma.f32
2 069×lower-fma.f64
2 029×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034205
053203
1200203
21459203
08353203
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 111
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c))
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)
(fma.f64 (/.f64 (neg.f64 d) c) a b)
(/.f64 (neg.f64 d) 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 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
(neg.f64 d)
(/.f64 a (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(*.f64 b c)
(*.f64 a d)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))))
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(fma.f64 c c (*.f64 d d))
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(fma.f64 (neg.f64 d) a (*.f64 b c))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
(*.f64 (pow.f64 (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))
(*.f64 (pow.f64 (/.f64 c (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))
(*.f64 (pow.f64 (/.f64 c (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))
(*.f64 (/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) c) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) c)))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 (neg.f64 d) (/.f64 a c) b))
(*.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c)))
(*.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))))
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b)))))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
(*.f64 (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))
(*.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) (/.f64 #s(literal 1 binary64) c))
(pow.f64 (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c)) (neg.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) c)) (neg.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))
(/.f64 (/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) c) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) c)))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) (neg.f64 (*.f64 c (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c)))) (neg.f64 (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c)))) (neg.f64 (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (*.f64 c (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (*.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) c))
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) (/.f64 a c) b)))
(/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))
(/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c))
(/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (neg.f64 c))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) c) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c) (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))) (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b)))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(neg.f64 (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 c (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))) (/.f64 (*.f64 b b) (*.f64 c (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) c) (/.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) c))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)))) (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)))) (neg.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 d a) d) a))))
(/.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 (neg.f64 d) a (*.f64 c b))) (fma.f64 d a (*.f64 c b)))
(/.f64 (*.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))
(/.f64 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a))) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b)))
(/.f64 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a))) (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 d a) d) a)))
(/.f64 (fma.f64 d a (neg.f64 (*.f64 c b))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b))))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(literal 1 binary64))
(neg.f64 (fma.f64 d a (neg.f64 (*.f64 c b))))
(fma.f64 (*.f64 a #s(literal -1 binary64)) d (*.f64 c b))
(fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (/.f64 #s(literal 1 binary64) (fma.f64 d a (*.f64 c b))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b)))))
(fma.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))))
(fma.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b)))))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(fma.f64 #s(literal -1 binary64) (*.f64 d a) (*.f64 c b))
(fma.f64 (neg.f64 d) a (*.f64 c b))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(fma.f64 a (neg.f64 d) (*.f64 c b))
(fma.f64 c b (*.f64 (neg.f64 a) d))
(fma.f64 b c (*.f64 (neg.f64 a) d))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 c b) #s(literal 1 binary64)) (/.f64 (*.f64 d a) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 d a) d) a))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 d a) d) a))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b))) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))))
(-.f64 #s(literal 0 binary64) (fma.f64 d a (neg.f64 (*.f64 c b))))
(-.f64 (*.f64 c b) (*.f64 d a))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b)))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b)))))
(+.f64 (*.f64 (neg.f64 a) d) (*.f64 c b))
(+.f64 (*.f64 c b) (*.f64 (neg.f64 a) d))

eval243.0ms (2.7%)

Memory
-3.4MiB live, 388.6MiB allocated
Compiler

Compiled 56 752 to 3 585 computations (93.7% saved)

prune468.0ms (5.2%)

Memory
26.5MiB live, 385.4MiB allocated
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New1 919161 935
Fresh5510
Picked235
Done000
Total1 926241 950
Accuracy
99.7%
Counts
1 950 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.5%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
37.2%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
20.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))))
23.6%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
16.6%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
48.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (*.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) c) b)))) d (/.f64 a (*.f64 b b))) d (/.f64 c b))))
45.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (neg.f64 (fma.f64 (fma.f64 b (/.f64 b (*.f64 (*.f64 (*.f64 a a) a) d)) (/.f64 #s(literal 1 binary64) (*.f64 d a))) c (/.f64 b (*.f64 a a)))) c (/.f64 (neg.f64 d) a))))
46.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
59.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c))
48.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
58.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
58.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c))
48.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
36.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d))))
39.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
53.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (fma.f64 d (/.f64 a (*.f64 b c)) #s(literal -1 binary64)) (neg.f64 b))) c))
22.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
47.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
36.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))))
59.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)))
41.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
38.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
47.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
19.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
Compiler

Compiled 798 to 428 computations (46.4% saved)

simplify253.0ms (2.8%)

Memory
-4.2MiB live, 72.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))))
cost-diff576
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))
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
(neg.f64 d)
cost-diff0
(*.f64 (neg.f64 d) a)
cost-diff0
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a))
cost-diff0
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
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 d c)
cost-diff0
(fma.f64 (/.f64 d c) a (neg.f64 b))
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)))
cost-diff320
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))
Rules
1 644×lower-fma.f32
1 642×lower-fma.f64
1 076×lower-*.f32
1 069×lower-*.f64
996×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038253
059253
198251
2160249
3298247
4505247
5864247
61692247
73670247
84724247
95863247
106410247
116509247
126511247
136877247
147089247
157263247
167589247
177691247
187697247
197707247
207711247
217711247
227923244
08185241
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)))
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))
(fma.f64 (/.f64 d c) a (neg.f64 b))
(/.f64 d c)
d
c
a
(neg.f64 b)
b
(/.f64 #s(literal -1 binary64) c)
#s(literal -1 binary64)
#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 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a))
(*.f64 (neg.f64 d) a)
(neg.f64 d)
d
a
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.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)
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 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))
#s(literal -1 binary64)
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
d
(*.f64 d a)
a
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c))
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(/.f64 d c)
d
c
a
(neg.f64 b)
b
(/.f64 #s(literal -1 binary64) c)
#s(literal -1 binary64)
#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 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.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)) (*.f64 (neg.f64 d) a))
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d))
(*.f64 (neg.f64 d) a)
(*.f64 (neg.f64 a) d)
(neg.f64 d)
d
a
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 (neg.f64 d) a (*.f64 c b))
(*.f64 b c)
(*.f64 c b)
b
c
(*.f64 a d)
(*.f64 d a)
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 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 d)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 d))
#s(literal -1 binary64)
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
c
(*.f64 d d)
d
(*.f64 d a)
a

localize97.0ms (1.1%)

Memory
-8.8MiB live, 102.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 c c (*.f64 d d))
accuracy0.4567654893885623
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))
accuracy19.2005051777334
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
accuracy28.41405665465555
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))))
accuracy0
(*.f64 a d)
accuracy0.6679666858302059
(-.f64 (*.f64 b c) (*.f64 a d))
accuracy26.067669508350974
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy26.39485969538741
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy0
(neg.f64 d)
accuracy26.39485969538741
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
accuracy30.625025904622103
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy33.034043264230725
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a))
accuracy0
(/.f64 (neg.f64 a) d)
accuracy0
(neg.f64 a)
accuracy38.65009747441988
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
accuracy0
(neg.f64 b)
accuracy1.3349988443871337
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))
accuracy1.9545883856036022
(fma.f64 (/.f64 d c) a (neg.f64 b))
accuracy25.959686725449508
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)))
Samples
51.0ms256×0valid
Compiler

Compiled 211 to 27 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 12.0ms (35.4% of total)
ival-div: 10.0ms (29.5% of total)
ival-neg: 9.0ms (26.5% of total)
ival-add: 2.0ms (5.9% of total)
ival-sub: 1.0ms (2.9% 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%)

Memory
-7.5MiB live, 60.6MiB allocated
Counts
22 → 732
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 d c) a (neg.f64 b)) (patch (fma.f64 (/.f64 d c) a (neg.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 d c) (patch (/.f64 d c) #<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 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())
#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 d) a) (patch (*.f64 (neg.f64 d) a) #<representation binary64>) () ())
#s(alt (neg.f64 d) (patch (neg.f64 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 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)) (patch (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)) #<representation binary64>) () ())
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())
Outputs
#s(alt (/ b c) (taylor 0 d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) (taylor inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) (taylor inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) (taylor inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 a) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) (taylor inf a) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 b) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 b) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 b) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf b) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) (taylor inf b) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) (taylor inf b) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) (taylor inf b) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf b) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) (taylor -inf b) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) (taylor -inf b) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) (taylor -inf b) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ())
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#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<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 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<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 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<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 (pow c 2) (taylor inf 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) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf 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) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf 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) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf 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) (taylor -inf 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) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf 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) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf 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) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf 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) (taylor 0 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 c 2) (pow d 2)) (taylor 0 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 c 2) (pow d 2)) (taylor 0 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 c 2) (pow d 2)) (taylor 0 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) (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 (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

183 calls:

TimeVariablePointExpression
5.0ms
b
@-inf
(+ (* (/ d c) a) (neg b))
1.0ms
d
@0
(* (+ (* (/ d c) a) (neg b)) (/ -1 c))
0.0ms
a
@0
(/ (neg a) d)
0.0ms
a
@inf
(* (+ (* (/ d c) a) (neg b)) (/ -1 c))
0.0ms
b
@0
(* (+ (* (/ d c) a) (neg b)) (/ -1 c))

simplify250.0ms (2.7%)

Memory
8.6MiB live, 265.5MiB allocated
Algorithm
egg-herbie
Rules
5 688×lower-fma.f64
5 688×lower-fma.f32
2 557×lower-*.f64
2 557×lower-*.f32
1 328×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03528428
111218061
235057874
083867480
Stop Event
iter limit
node limit
Counts
732 → 732
Calls
Call 1
Inputs
(/ 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)))
(* 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 (* 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)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) 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 (/ (* 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)))
(* 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 (+ (* -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))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/ 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)
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 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))))
(/ (* 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)))
(* -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)))))))
(* -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 (* -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)
(* -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 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) (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) (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))))))
(/ 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) (/ (* 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 (* -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 b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(/ (* a d) c)
(* d (+ (* -1 (/ b d)) (/ a c)))
(* d (+ (* -1 (/ b d)) (/ a c)))
(* d (+ (* -1 (/ b d)) (/ a c)))
(/ (* a d) c)
(* -1 (* d (+ (* -1 (/ a c)) (/ b d))))
(* -1 (* d (+ (* -1 (/ a c)) (/ b d))))
(* -1 (* d (+ (* -1 (/ a c)) (/ b d))))
(/ (* a d) c)
(/ (+ (* -1 (* b c)) (* a d)) c)
(/ (+ (* -1 (* b c)) (* a d)) c)
(/ (+ (* -1 (* b c)) (* a d)) c)
(* -1 b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(* -1 b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(* -1 b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(/ (* a d) c)
(* a (+ (* -1 (/ b a)) (/ d c)))
(* a (+ (* -1 (/ b a)) (/ d c)))
(* a (+ (* -1 (/ b a)) (/ d c)))
(/ (* a d) c)
(* -1 (* a (+ (* -1 (/ d c)) (/ b a))))
(* -1 (* a (+ (* -1 (/ d c)) (/ b a))))
(* -1 (* a (+ (* -1 (/ d c)) (/ b a))))
(/ (* a d) c)
(+ (* -1 b) (/ (* a d) c))
(+ (* -1 b) (/ (* a d) c))
(+ (* -1 b) (/ (* a d) c))
(* -1 b)
(* b (- (/ (* a d) (* b c)) 1))
(* b (- (/ (* a d) (* b c)) 1))
(* b (- (/ (* a d) (* b c)) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c))))))
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c))))))
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c))))))
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ 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))))
(/ (* 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)))
(* -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)))))))
(* -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 (* -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)
(* -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 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) (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) (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))))))
(/ 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) (/ (* 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 (* -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 d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -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 (+ (* -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)))
(* -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)))))))
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(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
Outputs
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d)
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d)
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d)
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d)
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 c c))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 c c))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 c c))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(*.f64 (-.f64 (/.f64 b (*.f64 a c)) (/.f64 d (*.f64 c c))) a)
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(*.f64 (-.f64 (/.f64 b (*.f64 a c)) (/.f64 d (*.f64 c c))) a)
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(*.f64 (-.f64 (/.f64 b (*.f64 a c)) (/.f64 d (*.f64 c c))) a)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(*.f64 (-.f64 (/.f64 b (*.f64 a c)) (/.f64 d (*.f64 c c))) a)
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(*.f64 (-.f64 (/.f64 b (*.f64 a c)) (/.f64 d (*.f64 c c))) a)
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(*.f64 (-.f64 (/.f64 b (*.f64 a c)) (/.f64 d (*.f64 c c))) a)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(/ b c)
(/.f64 b c)
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(*.f64 (fma.f64 (/.f64 d (*.f64 (*.f64 c b) c)) (neg.f64 a) (/.f64 #s(literal 1 binary64) c)) b)
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(*.f64 (fma.f64 (/.f64 d (*.f64 (*.f64 c b) c)) (neg.f64 a) (/.f64 #s(literal 1 binary64) c)) b)
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(*.f64 (fma.f64 (/.f64 d (*.f64 (*.f64 c b) c)) (neg.f64 a) (/.f64 #s(literal 1 binary64) c)) b)
(/ b c)
(/.f64 b c)
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(*.f64 (fma.f64 (/.f64 d (*.f64 (*.f64 c b) c)) (neg.f64 a) (/.f64 #s(literal 1 binary64) c)) b)
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(*.f64 (fma.f64 (/.f64 d (*.f64 (*.f64 c b) c)) (neg.f64 a) (/.f64 #s(literal 1 binary64) c)) b)
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(*.f64 (fma.f64 (/.f64 d (*.f64 (*.f64 c b) c)) (neg.f64 a) (/.f64 #s(literal 1 binary64) c)) b)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 d) (*.f64 (fma.f64 d d (*.f64 c c)) b)) a (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 d) (*.f64 (fma.f64 d d (*.f64 c c)) b)) a (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 d) (*.f64 (fma.f64 d d (*.f64 c c)) b)) a (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 (neg.f64 d) (*.f64 (fma.f64 d d (*.f64 c c)) b)) a (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 (neg.f64 d) (*.f64 (fma.f64 d d (*.f64 c c)) b)) a (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 (neg.f64 d) (*.f64 (fma.f64 d d (*.f64 c c)) b)) a (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (/.f64 a d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 c b) (*.f64 d 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 (neg.f64 c) (/.f64 b (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 a (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 d (/.f64 d c)) b (*.f64 d a)) 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 (*.f64 (neg.f64 d) d) (/.f64 b (*.f64 c c)) (fma.f64 (/.f64 a c) (-.f64 (*.f64 d (*.f64 d (/.f64 d (*.f64 c c)))) d) b)) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 d (/.f64 d c)) b (*.f64 d a)) 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 (+.f64 (/.f64 (fma.f64 d a (/.f64 (fma.f64 (*.f64 d (*.f64 d (/.f64 d c))) (neg.f64 a) (*.f64 (*.f64 d d) b)) c)) (neg.f64 c)) b) c)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 d (/.f64 d c)) b (*.f64 d a)) c)) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 d a) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 b (*.f64 (*.f64 c c) c))) d (/.f64 (neg.f64 a) (*.f64 c c))) d (/.f64 b c))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/.f64 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (*.f64 (/.f64 c d) b)) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(/.f64 (fma.f64 (/.f64 b d) (-.f64 c (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) 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 a c) c (/.f64 (*.f64 (neg.f64 c) (*.f64 (*.f64 c b) c)) d)) d)) d) a) d)
(* -1 b)
(neg.f64 b)
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(* d (+ (* -1 (/ b d)) (/ a c)))
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) d)
(* d (+ (* -1 (/ b d)) (/ a c)))
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) d)
(* d (+ (* -1 (/ b d)) (/ a c)))
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) d)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(* -1 (* d (+ (* -1 (/ a c)) (/ b d))))
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) d)
(* -1 (* d (+ (* -1 (/ a c)) (/ b d))))
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) d)
(* -1 (* d (+ (* -1 (/ a c)) (/ b d))))
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) d)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (+ (* -1 (* b c)) (* a d)) c)
(/.f64 (fma.f64 (neg.f64 c) b (*.f64 d a)) c)
(/ (+ (* -1 (* b c)) (* a d)) c)
(/.f64 (fma.f64 (neg.f64 c) b (*.f64 d a)) c)
(/ (+ (* -1 (* b c)) (* a d)) c)
(/.f64 (fma.f64 (neg.f64 c) b (*.f64 d a)) c)
(* -1 b)
(neg.f64 b)
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(* -1 b)
(neg.f64 b)
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(* -1 b)
(neg.f64 b)
(- (/ (* a d) c) b)
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(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))))
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(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 d (/.f64 d c)) b (*.f64 d a)) c)) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 d a) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 b (*.f64 (*.f64 c c) c))) d (/.f64 (neg.f64 a) (*.f64 c c))) d (/.f64 b c))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/.f64 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (*.f64 (/.f64 c d) b)) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(/.f64 (fma.f64 (/.f64 b d) (-.f64 c (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) 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 a c) c (/.f64 (*.f64 (neg.f64 c) (*.f64 (*.f64 c b) c)) d)) d)) d) a) d)
(/ d a)
(/.f64 d a)
(+ (/ d a) (/ (pow c 2) (* a d)))
(fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a))
(+ (/ d a) (/ (pow c 2) (* a d)))
(fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a))
(+ (/ d a) (/ (pow c 2) (* a d)))
(fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a))
(/ (pow c 2) (* a d))
(*.f64 c (/.f64 c (*.f64 d a)))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(*.f64 c (fma.f64 c (/.f64 d (*.f64 (*.f64 a c) c)) (/.f64 c (*.f64 d a))))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(*.f64 c (fma.f64 c (/.f64 d (*.f64 (*.f64 a c) c)) (/.f64 c (*.f64 d a))))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(*.f64 c (fma.f64 c (/.f64 d (*.f64 (*.f64 a c) c)) (/.f64 c (*.f64 d a))))
(/ (pow c 2) (* a d))
(*.f64 c (/.f64 c (*.f64 d a)))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(*.f64 c (fma.f64 c (/.f64 d (*.f64 (*.f64 a c) c)) (/.f64 c (*.f64 d a))))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(*.f64 c (fma.f64 c (/.f64 d (*.f64 (*.f64 a c) c)) (/.f64 c (*.f64 d a))))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(*.f64 c (fma.f64 c (/.f64 d (*.f64 (*.f64 a c) c)) (/.f64 c (*.f64 d a))))
(/ (pow c 2) (* a d))
(*.f64 c (/.f64 c (*.f64 d a)))
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d)
(/.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 c c) a)) d)
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d)
(/.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 c c) a)) d)
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d)
(/.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 c c) a)) d)
(/ d a)
(/.f64 d a)
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2)))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 (*.f64 d d) a)) (/.f64 #s(literal 1 binary64) a)) d)
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2)))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 (*.f64 d d) a)) (/.f64 #s(literal 1 binary64) a)) d)
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2)))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 (*.f64 d d) a)) (/.f64 #s(literal 1 binary64) a)) d)
(/ d a)
(/.f64 d a)
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 (*.f64 d d) a)) (/.f64 #s(literal 1 binary64) a)) d)
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 (*.f64 d d) a)) (/.f64 #s(literal 1 binary64) a)) d)
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 (*.f64 d d) a)) (/.f64 #s(literal 1 binary64) a)) d)
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d))

rewrite503.0ms (5.5%)

Memory
-95.0MiB live, 370.7MiB allocated
Rules
3 870×lower-fma.f32
3 868×lower-fma.f64
2 768×lower-*.f32
2 761×lower-*.f64
1 887×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038221
059221
1190217
21201215
08909215
Stop Event
iter limit
node limit
iter limit
Counts
22 → 760
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)))
(fma.f64 (/.f64 d c) a (neg.f64 b))
(/.f64 d c)
#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 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a))
(*.f64 (neg.f64 d) a)
(neg.f64 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)
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))))
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(fma.f64 c c (*.f64 d d))
(neg.f64 b)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
Outputs
(*.f64 (*.f64 (-.f64 b (/.f64 (*.f64 a d) c)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) c))
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 a d) c) b) (/.f64 #s(literal 1 binary64) c)) #s(literal -1 binary64))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 a d) c) b) c) #s(literal -1 binary64))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 a d) c) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c)) (*.f64 b b)) c) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a c) d b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) b (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)))) c) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (/.f64 (*.f64 a d) c)) (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c)) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a c) d b)) c))
(*.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) b (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (/.f64 (*.f64 a d) c)) (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c)))) c))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c)) (*.f64 b b)) (neg.f64 c)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a c) d b)))
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(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) c) c (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) d (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) c) c (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(/.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) #s(literal -1 binary64))
(/.f64 (fma.f64 c c (*.f64 d d)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))))
(neg.f64 (neg.f64 (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c c) (+.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (*.f64 (*.f64 c c) c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c))
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d))
(fma.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))))
(-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d))))
(+.f64 (neg.f64 (*.f64 (neg.f64 c) c)) (neg.f64 (*.f64 (neg.f64 d) d)))
(+.f64 (neg.f64 (*.f64 (neg.f64 d) d)) (neg.f64 (*.f64 (neg.f64 c) c)))
(+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(+.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 d d) (*.f64 c c))
(*.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (*.f64 (neg.f64 b) b) b) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 b) b) b)) (neg.f64 (fma.f64 b b #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 b) b) b)
(/.f64 (*.f64 b b) (neg.f64 b))
(/.f64 (*.f64 (*.f64 (neg.f64 b) b) b) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) (neg.f64 b)))))
(/.f64 (*.f64 (*.f64 (neg.f64 b) b) b) (fma.f64 b b #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (neg.f64 b) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 b) b) b)))
(neg.f64 b)
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b b #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) b)
(+.f64 #s(literal 0 binary64) (neg.f64 b))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))

eval164.0ms (1.8%)

Memory
15.7MiB live, 327.1MiB allocated
Compiler

Compiled 30 500 to 2 302 computations (92.5% saved)

prune418.0ms (4.6%)

Memory
-2.6MiB live, 273.1MiB allocated
Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New1 481111 492
Fresh51116
Picked235
Done033
Total1 488281 516
Accuracy
99.7%
Counts
1 516 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.5%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
37.2%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
20.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))))
36.0%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
19.4%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
16.6%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
29.1%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
48.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (*.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) c) b)))) d (/.f64 a (*.f64 b b))) d (/.f64 c b))))
46.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
59.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c))
48.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d))
48.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
58.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c))
15.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a a) a)) (fma.f64 a a #s(literal 0 binary64))) d))
57.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
39.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
53.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (fma.f64 d (/.f64 a (*.f64 b c)) #s(literal -1 binary64)) (neg.f64 b))) c))
22.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
47.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
36.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))))
39.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a)))
53.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* c c) (* d d)) (* d a)) (fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a)))))
41.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
38.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
47.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
19.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
22.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)))
39.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
Compiler

Compiled 820 to 447 computations (45.5% saved)

simplify178.0ms (2%)

Memory
-44.8MiB live, 56.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 d c) a)
cost-diff0
#s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)))
cost-diff192
(*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))
cost-diff0
(*.f64 (/.f64 (neg.f64 a) c) d)
cost-diff0
#s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d))
cost-diff0
(/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
cost-diff0
(/.f64 c b)
cost-diff0
#s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
cost-diff0
(/.f64 #s(literal -1 binary64) d)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
cost-diff192
(*.f64 a (/.f64 #s(literal -1 binary64) d))
cost-diff0
(fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b)
cost-diff0
(/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
Rules
948×lower-fma.f32
947×lower-fma.f64
676×lower-*.f32
671×lower-*.f64
616×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049303
067298
1117285
2191283
3363283
4633283
51150283
61823283
72648283
83249283
93705283
104172283
114298283
124400283
134541283
144625283
154641283
164761283
174809283
184809283
04809277
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c))
(/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)
(fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b)
(neg.f64 d)
d
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
c
a
b
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
(*.f64 a (/.f64 #s(literal -1 binary64) d))
a
(/.f64 #s(literal -1 binary64) d)
#s(literal -1 binary64)
d
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
#s(literal 1 binary64)
#s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))
(/.f64 c b)
c
b
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
(/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)
#s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d))
(*.f64 (/.f64 (neg.f64 a) c) d)
(/.f64 (neg.f64 a) c)
(neg.f64 a)
a
c
d
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)))
(*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))
#s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))
(*.f64 (/.f64 d c) a)
(/.f64 d c)
d
c
a
(/.f64 #s(literal -1 binary64) c)
#s(literal -1 binary64)
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d (neg.f64 c)) a b) c))
(/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)
(/.f64 (fma.f64 (/.f64 d (neg.f64 c)) a b) c)
(fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b)
(fma.f64 (/.f64 d (neg.f64 c)) a b)
(neg.f64 d)
d
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 a c)
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
c
a
b
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
(*.f64 a (/.f64 #s(literal -1 binary64) d))
(/.f64 (neg.f64 a) d)
a
(/.f64 #s(literal -1 binary64) d)
#s(literal -1 binary64)
d
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
#s(literal 1 binary64)
#s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))
(/.f64 c b)
c
b
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 d (neg.f64 c)) a)) c))
(/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)
(/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 d (neg.f64 c)) a)) c)
#s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d))
#s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 d (neg.f64 c)) a))
(*.f64 (/.f64 (neg.f64 a) c) d)
(*.f64 (/.f64 d (neg.f64 c)) a)
(/.f64 (neg.f64 a) c)
(/.f64 a (neg.f64 c))
(neg.f64 a)
a
c
d
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 a c) d)) (neg.f64 c)))
(*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))
(/.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 a c) d)) (neg.f64 c))
#s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))
#s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 a c) d))
(*.f64 (/.f64 d c) a)
(*.f64 (/.f64 a c) d)
(/.f64 d c)
d
c
a
(/.f64 #s(literal -1 binary64) c)
#s(literal -1 binary64)

localize106.0ms (1.2%)

Memory
17.1MiB live, 92.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy1.3349988443871337
(*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))
accuracy5.1264163839977135
(*.f64 (/.f64 d c) a)
accuracy25.959686725449508
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)))
accuracy33.87759472343926
#s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))
accuracy1.1748425943871337
(/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)
accuracy2.828104322647386
(*.f64 (/.f64 (neg.f64 a) c) d)
accuracy25.959686725449508
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
accuracy33.87759472343926
#s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d))
accuracy0
(/.f64 c b)
accuracy0.41473518274153814
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
accuracy33.666954494330916
#s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))
accuracy0
(/.f64 #s(literal -1 binary64) d)
accuracy0.19140625
(*.f64 a (/.f64 #s(literal -1 binary64) d))
accuracy38.65009747441988
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
accuracy0.19140625
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
accuracy1.1748425943871337
(/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)
accuracy1.6979412706229862
(fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b)
accuracy25.959686725449508
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c))
Samples
65.0ms256×0valid
Compiler

Compiled 218 to 42 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 19.0ms (40.2% of total)
ival-mult: 18.0ms (38.1% of total)
ival-add: 6.0ms (12.7% of total)
ival-neg: 3.0ms (6.3% of total)
ival-sub: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.5%)

Memory
11.0MiB live, 52.2MiB allocated
Counts
18 → 732
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c) (patch (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) (patch (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) #<representation binary64>) () ())
#s(alt (*.f64 a (/.f64 #s(literal -1 binary64) d)) (patch (*.f64 a (/.f64 #s(literal -1 binary64) d)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) d) (patch (/.f64 #s(literal -1 binary64) d) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) (patch #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c) (patch (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) (patch #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 a) c) d) (patch (*.f64 (/.f64 (neg.f64 a) c) d) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())
Outputs
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ())
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#s(alt (* b (- (/ (* a d) (* b c)) 1)) (taylor inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ (* a d) (* b c)) 1)) (taylor inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor -inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c)))))) (taylor -inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c)))))) (taylor -inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c)))))) (taylor -inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor 0 d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor 0 d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor 0 d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor 0 d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor 0 a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor 0 a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor 0 a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor 0 a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ())
Calls

183 calls:

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

simplify226.0ms (2.5%)

Memory
6.1MiB live, 225.8MiB allocated
Algorithm
egg-herbie
Rules
3 246×lower-fma.f64
3 246×lower-fma.f32
3 118×lower-*.f64
3 118×lower-*.f32
1 572×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05319751
118479317
271859230
082138826
Stop Event
iter limit
node limit
Counts
732 → 720
Calls
Call 1
Inputs
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(* -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 (+ (* -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)))
(* -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)))))))
(* -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 (* -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)
(* -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 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) (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) (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))))))
(/ 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) (/ (* 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 (* -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)
(+ (* -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)))
(* 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 (* 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)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) 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 (/ (* 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)))
(* 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 (+ (* -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))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/ 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)
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(* -1 (/ (* a d) c))
(* d (+ (* -1 (/ a c)) (/ b d)))
(* d (+ (* -1 (/ a c)) (/ b d)))
(* d (+ (* -1 (/ a c)) (/ b d)))
(* -1 (/ (* a d) c))
(* -1 (* d (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* d (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* d (+ (* -1 (/ b d)) (/ a c))))
(* -1 (/ (* a d) c))
(/ (+ (* -1 (* a d)) (* b c)) c)
(/ (+ (* -1 (* a d)) (* b c)) c)
(/ (+ (* -1 (* a d)) (* b c)) c)
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(* -1 (/ (* a d) c))
(* a (+ (* -1 (/ d c)) (/ b a)))
(* a (+ (* -1 (/ d c)) (/ b a)))
(* a (+ (* -1 (/ d c)) (/ b a)))
(* -1 (/ (* a d) c))
(* -1 (* a (+ (* -1 (/ b a)) (/ d c))))
(* -1 (* a (+ (* -1 (/ b a)) (/ d c))))
(* -1 (* a (+ (* -1 (/ b a)) (/ d c))))
(* -1 (/ (* a d) c))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
b
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
b
(* -1 (* b (- (/ (* a d) (* b c)) 1)))
(* -1 (* b (- (/ (* a d) (* b c)) 1)))
(* -1 (* b (- (/ (* a d) (* b c)) 1)))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ 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))))
(/ (* 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)))
(* -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)))))))
(* -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 (* -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)
(* -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 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) (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) (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))))))
(/ 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) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
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(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) 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)))
(* 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 (* 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)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) 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 (/ (* 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)))
(* 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 (+ (* -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))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/ 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)
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 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))))
(/ (* 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)))
(* -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)))))))
(* -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 (* -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)
(* -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 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) (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) (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))))))
(/ 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) (/ (* 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 (* -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 b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(/ (* a d) c)
(* d (+ (* -1 (/ b d)) (/ a c)))
(* d (+ (* -1 (/ b d)) (/ a c)))
(* d (+ (* -1 (/ b d)) (/ a c)))
(/ (* a d) c)
(* -1 (* d (+ (* -1 (/ a c)) (/ b d))))
(* -1 (* d (+ (* -1 (/ a c)) (/ b d))))
(* -1 (* d (+ (* -1 (/ a c)) (/ b d))))
(/ (* a d) c)
(/ (+ (* -1 (* b c)) (* a d)) c)
(/ (+ (* -1 (* b c)) (* a d)) c)
(/ (+ (* -1 (* b c)) (* a d)) c)
(* -1 b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(* -1 b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(* -1 b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(- (/ (* a d) c) b)
(/ (* a d) c)
(* a (+ (* -1 (/ b a)) (/ d c)))
(* a (+ (* -1 (/ b a)) (/ d c)))
(* a (+ (* -1 (/ b a)) (/ d c)))
(/ (* a d) c)
(* -1 (* a (+ (* -1 (/ d c)) (/ b a))))
(* -1 (* a (+ (* -1 (/ d c)) (/ b a))))
(* -1 (* a (+ (* -1 (/ d c)) (/ b a))))
(/ (* a d) c)
(+ (* -1 b) (/ (* a d) c))
(+ (* -1 b) (/ (* a d) c))
(+ (* -1 b) (/ (* a d) c))
(* -1 b)
(* b (- (/ (* a d) (* b c)) 1))
(* b (- (/ (* a d) (* b c)) 1))
(* b (- (/ (* a d) (* b c)) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c))))))
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c))))))
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c))))))
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
(/ (* a d) c)
Outputs
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) a (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) a (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) a (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c)))))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) 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 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 a (*.f64 (*.f64 d d) d))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d d) c) b (*.f64 d a))) 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 (*.f64 (*.f64 d d) (/.f64 d (*.f64 (*.f64 c c) c))) a (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d d) c) b (*.f64 d a))) c)) b) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (neg.f64 c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d d) c) b (*.f64 d a))) 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))
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 d a (/.f64 (fma.f64 (neg.f64 a) (*.f64 (*.f64 d d) (/.f64 d c)) (*.f64 b (*.f64 d d))) c)))) c) b)) c)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(fma.f64 (neg.f64 d) (fma.f64 (/.f64 d (*.f64 (*.f64 c c) c)) b (/.f64 a (*.f64 c c))) (/.f64 b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 (fma.f64 (fma.f64 (/.f64 d (*.f64 (*.f64 (*.f64 c c) c) c)) a (/.f64 (neg.f64 b) (*.f64 (*.f64 c c) c))) d (/.f64 (neg.f64 a) (*.f64 c c))) d (/.f64 b c))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/.f64 (fma.f64 (/.f64 c d) b (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) a (neg.f64 a))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) a (fma.f64 (/.f64 c d) b (fma.f64 (neg.f64 b) (*.f64 (*.f64 c c) (/.f64 c (*.f64 (*.f64 d d) d))) (neg.f64 a)))) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (neg.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 b c)) d))) d)
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(/.f64 (neg.f64 (-.f64 a (/.f64 (-.f64 (*.f64 b c) (/.f64 (fma.f64 (*.f64 (neg.f64 a) c) c (/.f64 (*.f64 (*.f64 b (*.f64 c c)) c) d)) d)) d))) d)
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(* -1 (/ (* a d) (pow c 2)))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d)
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d)
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
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(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(/ b c)
(/.f64 b c)
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(fma.f64 (*.f64 (neg.f64 a) (/.f64 d (*.f64 b (*.f64 c c)))) b (/.f64 b c))
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(fma.f64 (*.f64 (neg.f64 a) (/.f64 d (*.f64 b (*.f64 c c)))) b (/.f64 b c))
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(fma.f64 (*.f64 (neg.f64 a) (/.f64 d (*.f64 b (*.f64 c c)))) b (/.f64 b c))
(/ b c)
(/.f64 b c)
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (*.f64 c c))) a (/.f64 #s(literal -1 binary64) c)) (neg.f64 b))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (*.f64 c c))) a (/.f64 #s(literal -1 binary64) c)) (neg.f64 b))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (*.f64 c c))) a (/.f64 #s(literal -1 binary64) c)) (neg.f64 b))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) a (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) a (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) a (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c)))))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) 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 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 a (*.f64 (*.f64 d d) d))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d d) c) b (*.f64 d a))) 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 (*.f64 (*.f64 d d) (/.f64 d (*.f64 (*.f64 c c) c))) a (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d d) c) b (*.f64 d a))) c)) b) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (neg.f64 c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d d) c) b (*.f64 d a))) 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))
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 d a (/.f64 (fma.f64 (neg.f64 a) (*.f64 (*.f64 d d) (/.f64 d c)) (*.f64 b (*.f64 d d))) c)))) c) b)) c)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(fma.f64 (neg.f64 d) (fma.f64 (/.f64 d (*.f64 (*.f64 c c) c)) b (/.f64 a (*.f64 c c))) (/.f64 b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 (fma.f64 (fma.f64 (/.f64 d (*.f64 (*.f64 (*.f64 c c) c) c)) a (/.f64 (neg.f64 b) (*.f64 (*.f64 c c) c))) d (/.f64 (neg.f64 a) (*.f64 c c))) d (/.f64 b c))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/.f64 (fma.f64 (/.f64 c d) b (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) a (neg.f64 a))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) a (fma.f64 (/.f64 c d) b (fma.f64 (neg.f64 b) (*.f64 (*.f64 c c) (/.f64 c (*.f64 (*.f64 d d) d))) (neg.f64 a)))) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (neg.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 b c)) d))) d)
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(/.f64 (neg.f64 (-.f64 a (/.f64 (-.f64 (*.f64 b c) (/.f64 (fma.f64 (*.f64 (neg.f64 a) c) c (/.f64 (*.f64 (*.f64 b (*.f64 c c)) c) d)) d)) d))) d)
(* -1 b)
(neg.f64 b)
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(* d (+ (* -1 (/ b d)) (/ a c)))
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) d)
(* d (+ (* -1 (/ b d)) (/ a c)))
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) d)
(* d (+ (* -1 (/ b d)) (/ a c)))
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) d)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(* -1 (* d (+ (* -1 (/ a c)) (/ b d))))
(*.f64 (neg.f64 d) (-.f64 (/.f64 b d) (/.f64 a c)))
(* -1 (* d (+ (* -1 (/ a c)) (/ b d))))
(*.f64 (neg.f64 d) (-.f64 (/.f64 b d) (/.f64 a c)))
(* -1 (* d (+ (* -1 (/ a c)) (/ b d))))
(*.f64 (neg.f64 d) (-.f64 (/.f64 b d) (/.f64 a c)))
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (+ (* -1 (* b c)) (* a d)) c)
(/.f64 (fma.f64 (neg.f64 c) b (*.f64 d a)) c)
(/ (+ (* -1 (* b c)) (* a d)) c)
(/.f64 (fma.f64 (neg.f64 c) b (*.f64 d a)) c)
(/ (+ (* -1 (* b c)) (* a d)) c)
(/.f64 (fma.f64 (neg.f64 c) b (*.f64 d a)) c)
(* -1 b)
(neg.f64 b)
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(* -1 b)
(neg.f64 b)
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(* -1 b)
(neg.f64 b)
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(- (/ (* a d) c) b)
(fma.f64 (/.f64 d c) a (neg.f64 b))
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(* a (+ (* -1 (/ b a)) (/ d c)))
(*.f64 (-.f64 (/.f64 d c) (/.f64 b a)) a)
(* a (+ (* -1 (/ b a)) (/ d c)))
(*.f64 (-.f64 (/.f64 d c) (/.f64 b a)) a)
(* a (+ (* -1 (/ b a)) (/ d c)))
(*.f64 (-.f64 (/.f64 d c) (/.f64 b a)) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(* -1 (* a (+ (* -1 (/ d c)) (/ b a))))
(*.f64 (-.f64 (/.f64 b a) (/.f64 d c)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ d c)) (/ b a))))
(*.f64 (-.f64 (/.f64 b a) (/.f64 d c)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ d c)) (/ b a))))
(*.f64 (-.f64 (/.f64 b a) (/.f64 d c)) (neg.f64 a))
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(+ (* -1 b) (/ (* a d) c))
(fma.f64 (/.f64 d c) a (neg.f64 b))
(+ (* -1 b) (/ (* a d) c))
(fma.f64 (/.f64 d c) a (neg.f64 b))
(+ (* -1 b) (/ (* a d) c))
(fma.f64 (/.f64 d c) a (neg.f64 b))
(* -1 b)
(neg.f64 b)
(* b (- (/ (* a d) (* b c)) 1))
(*.f64 (fma.f64 (/.f64 d (*.f64 b c)) a #s(literal -1 binary64)) b)
(* b (- (/ (* a d) (* b c)) 1))
(*.f64 (fma.f64 (/.f64 d (*.f64 b c)) a #s(literal -1 binary64)) b)
(* b (- (/ (* a d) (* b c)) 1))
(*.f64 (fma.f64 (/.f64 d (*.f64 b c)) a #s(literal -1 binary64)) b)
(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c))))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b c)) #s(literal 1 binary64))) b)
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c))))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b c)) #s(literal 1 binary64))) b)
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c))))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b c)) #s(literal 1 binary64))) b)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)
(/ (* a d) c)
(*.f64 (/.f64 d c) a)

rewrite256.0ms (2.8%)

Memory
-13.9MiB live, 272.4MiB allocated
Rules
2 388×lower-fma.f32
2 387×lower-fma.f64
2 282×lower-/.f32
2 273×lower-/.f64
1 989×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049268
067260
1270248
21745248
08659242
Stop Event
iter limit
node limit
iter limit
Counts
18 → 421
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c))
(/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)
(fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b)
(*.f64 a (/.f64 #s(literal -1 binary64) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
(/.f64 #s(literal -1 binary64) d)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
#s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))
(/.f64 c b)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
(/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)
#s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d))
(*.f64 (/.f64 (neg.f64 a) c) d)
(*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)))
#s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))
(*.f64 (/.f64 d c) a)
Outputs
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (neg.f64 a) #s(literal 1 binary64)))
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 a c) #s(literal 1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 #s(literal 1 binary64) (/.f64 a c))
(pow.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 (neg.f64 a) (neg.f64 c))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) a))
(/.f64 a c)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))) c))
(*.f64 (/.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d c) a b)) c))
(*.f64 (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (pow.f64 (/.f64 c (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d c) a b)))
(*.f64 (pow.f64 (/.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d c) a b)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d c) a b)))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) c) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) c) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))
(*.f64 (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 d c) a b) (neg.f64 c))))
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (neg.f64 c))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 d c) a b) c)))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 (/.f64 d c) a b))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c)))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 d c) a (neg.f64 b))))))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c))
(*.f64 (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c) (/.f64 (fma.f64 (/.f64 d c) a b) (fma.f64 (/.f64 d c) a b)))
(*.f64 (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c) #s(literal 1 binary64))
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 (/.f64 d c) a (neg.f64 b)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c))
(pow.f64 (/.f64 c (fma.f64 (/.f64 d c) a (neg.f64 b))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c)) (neg.f64 (fma.f64 (/.f64 d c) a b)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) c)) (neg.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal -1 binary64))) c)
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 d c) a b) (neg.f64 c))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (neg.f64 c))))
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c) (fma.f64 (/.f64 d c) a b))
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) c) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))
(/.f64 (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal -1 binary64)) (neg.f64 c))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 d c) a b) c)))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) (neg.f64 (*.f64 c (fma.f64 (/.f64 d c) a b))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b))) (neg.f64 (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b))) (neg.f64 (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 d c) a b) (neg.f64 c)))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) #s(literal -1 binary64)) (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (neg.f64 c)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (*.f64 c (fma.f64 (/.f64 d c) a b)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (*.f64 (fma.f64 (/.f64 d c) a b) c))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 d c) a (neg.f64 b)))))
(/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (neg.f64 c))
(/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c)
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) a (neg.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 d c) a b) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 d c) a b) (neg.f64 c)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 d c) a b) c) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (neg.f64 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c) (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 (/.f64 d c) a b)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))) (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (fma.f64 (/.f64 d c) a (neg.f64 b))))))
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 d c) a (neg.f64 b))))
(neg.f64 (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (fma.f64 (/.f64 d c) a b)) c) (/.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 d c) a b)) c))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 c (fma.f64 (/.f64 d c) a b))) (/.f64 (*.f64 b b) (*.f64 c (fma.f64 (/.f64 d c) a b))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (fma.f64 (/.f64 d c) a b)) (neg.f64 c)) (/.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 d c) a b)) (neg.f64 c)))
(-.f64 (/.f64 b (neg.f64 c)) (/.f64 (*.f64 (/.f64 d c) a) (neg.f64 c)))
(-.f64 (/.f64 (*.f64 (/.f64 d c) a) (neg.f64 c)) (/.f64 b (neg.f64 c)))
(-.f64 (/.f64 (*.f64 (/.f64 d c) a) c) (/.f64 b c))
(-.f64 (/.f64 b c) (/.f64 (*.f64 (/.f64 d c) a) c))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c))
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 (/.f64 d c) a (neg.f64 b)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 (/.f64 d c) a))))
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 d c) a b))))
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d c) a b)))
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 d c) a b))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d c) a b)))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (/.f64 (-.f64 (*.f64 (*.f64 d a) (*.f64 (/.f64 d c) a)) (*.f64 (*.f64 d a) (neg.f64 b))) c))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) a (neg.f64 b)))
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d c) a (neg.f64 b)))
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eval155.0ms (1.7%)

Memory
8.2MiB live, 197.3MiB allocated
Compiler

Compiled 18 767 to 1 422 computations (92.4% saved)

prune188.0ms (2.1%)

Memory
20.4MiB live, 297.0MiB allocated
Pruning

26 alts after pruning (18 fresh and 8 done)

PrunedKeptTotal
New1 13741 141
Fresh31417
Picked235
Done156
Total1 143261 169
Accuracy
99.7%
Counts
1 169 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.5%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
37.2%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
20.4%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))))
36.0%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
19.4%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
16.6%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
29.1%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
48.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (fma.f64 (fma.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) c) b)) (/.f64 #s(literal 1 binary64) (*.f64 b c))) d (/.f64 a (*.f64 b b))) d (/.f64 c b))))
46.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
58.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c))
48.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d))
48.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d))
15.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a a) a)) (fma.f64 a a #s(literal 0 binary64))) d))
22.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c))
39.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
22.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (/.f64 (neg.f64 d) (/.f64 c a))) c))
47.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
36.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))))
39.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a)))
53.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* c c) (* d d)) (* d a)) (fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a)))))
41.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
38.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
47.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
19.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
22.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)))
39.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
Compiler

Compiled 1 036 to 376 computations (63.7% saved)

regimes110.0ms (1.2%)

Memory
-38.6MiB live, 111.6MiB allocated
Counts
47 → 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))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.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 d a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#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 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
(/.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 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
#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 (fma.f64 (/.f64 c d) b (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (/.f64 (neg.f64 d) (/.f64 c a))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (fma.f64 d (/.f64 a (*.f64 b c)) #s(literal -1 binary64)) (neg.f64 b))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a a) a)) (fma.f64 a a #s(literal 0 binary64))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* c c) (* d d)) (* d a)) (fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (/.f64 d c) d) b (*.f64 a d)) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c d) c) a (*.f64 b c)) d) a) d))
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (fma.f64 (fma.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) c) b)) (/.f64 #s(literal 1 binary64) (*.f64 b c))) d (/.f64 a (*.f64 b b))) d (/.f64 c b))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (*.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) c) b)))) d (/.f64 a (*.f64 b b))) d (/.f64 c b))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (neg.f64 (fma.f64 (fma.f64 b (/.f64 b (*.f64 (*.f64 (*.f64 a a) a) d)) (/.f64 #s(literal 1 binary64) (*.f64 d a))) c (/.f64 b (*.f64 a a)))) c (/.f64 (neg.f64 d) a))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
Calls

5 calls:

49.0ms
a
16.0ms
c
16.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
13.0ms
b
13.0ms
d
Results
AccuracySegmentsBranch
71.6%4a
72.5%3b
85.5%4c
82.7%3d
80.4%5(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes29.0ms (0.3%)

Memory
-7.8MiB live, 29.0MiB allocated
Counts
34 → 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))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.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 d a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#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 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
(/.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 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
#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 (fma.f64 (/.f64 c d) b (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (/.f64 (neg.f64 d) (/.f64 c a))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
Calls

2 calls:

10.0ms
c
10.0ms
d
Results
AccuracySegmentsBranch
82.7%3d
81.9%3c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
28 → 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))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.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 d a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#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 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
(/.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 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
#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 (fma.f64 (/.f64 c d) b (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d 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))
#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
82.6%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
25 → 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))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.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 d a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#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 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
(/.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 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
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:

8.0ms
d
Results
AccuracySegmentsBranch
82.6%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes19.0ms (0.2%)

Memory
-19.5MiB live, 20.0MiB allocated
Counts
23 → 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))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.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 d a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#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 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
(/.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) d))
Calls

2 calls:

11.0ms
c
7.0ms
d
Results
AccuracySegmentsBranch
75.0%3c
78.5%3d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes50.0ms (0.5%)

Memory
7.2MiB live, 46.7MiB allocated
Counts
22 → 5
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))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.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 d a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#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 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
(/.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 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
Calls

5 calls:

22.0ms
b
7.0ms
c
7.0ms
a
7.0ms
d
6.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
62.1%6a
57.3%3b
72.9%5c
54.9%3(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
71.0%4d
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes14.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
20 → 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))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.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 d a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#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 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c))))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#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))
Calls

2 calls:

6.0ms
c
6.0ms
d
Results
AccuracySegmentsBranch
68.7%3d
71.0%4c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes30.0ms (0.3%)

Memory
-30.6MiB live, 15.1MiB allocated
Counts
13 → 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))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.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 d a)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d 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

2 calls:

25.0ms
c
4.0ms
d
Results
AccuracySegmentsBranch
68.7%3d
69.6%4c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB 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
c
1.0ms
d
1.0ms
a
1.0ms
b
1.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
47.2%1(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
47.2%1b
47.2%1a
47.2%1c
47.2%1d
Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch65.0ms (0.7%)

Memory
7.2MiB live, 46.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.8286271680507868e-30
9.881804613908835e-22
35.0ms
-1.1321267015231055e-72
-2.2946536880303613e-76
13.0ms
-2.1407138102724094e+46
-3.447448592593049e+41
Samples
47.0ms400×0valid
Compiler

Compiled 852 to 516 computations (39.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 10.0ms (65.3% of total)
ival-sub: 2.0ms (13.1% of total)
ival-div: 2.0ms (13.1% of total)
ival-add: 2.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Memory
-12.3MiB live, 26.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
0.001043279869220851
78.05166961761074
14.0ms
-3.955350209244986e+47
-3.410336492103626e+42
Samples
20.0ms288×0valid
Compiler

Compiled 562 to 342 computations (39.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (67% of total)
ival-div: 2.0ms (14.9% of total)
ival-sub: 1.0ms (7.4% of total)
ival-add: 1.0ms (7.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.001043279869220851
78.05166961761074
4.0ms
-3.955350209244986e+47
-3.410336492103626e+42
Samples
2.0ms32×0valid
Compiler

Compiled 562 to 342 computations (39.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (81.7% 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)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.001043279869220851
78.05166961761074
1.0ms
-3.955350209244986e+47
-3.410336492103626e+42
Compiler

Compiled 562 to 342 computations (39.1% saved)

bsearch61.0ms (0.7%)

Memory
-9.7MiB live, 29.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.001043279869220851
78.05166961761074
48.0ms
-4.332233628861631e+64
-3.955350209244986e+47
Samples
17.0ms272×0valid
Compiler

Compiled 497 to 322 computations (35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.6% of total)
ival-sub: 1.0ms (9.4% of total)
ival-div: 1.0ms (9.4% of total)
ival-add: 1.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch52.0ms (0.6%)

Memory
12.7MiB live, 53.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
7.051501889286339e+92
3.574702790218717e+94
6.0ms
1.8286271680507868e-30
9.881804613908835e-22
18.0ms
-1.0630911457775192e-148
-1.2689029783096218e-153
12.0ms
-4.83475991545316e+159
-3.1441219750850462e+156
Samples
28.0ms448×0valid
Compiler

Compiled 881 to 547 computations (37.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 11.0ms (62.3% of total)
ival-div: 3.0ms (17% of total)
ival-sub: 2.0ms (11.3% of total)
ival-add: 2.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
1.8286271680507868e-30
9.881804613908835e-22
1.0ms
-1.0630911457775192e-148
-1.2689029783096218e-153
1.0ms
-4.83475991545316e+159
-3.1441219750850462e+156
Compiler

Compiled 627 to 399 computations (36.4% saved)

bsearch11.0ms (0.1%)

Memory
-20.0MiB live, 18.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
0.001043279869220851
78.05166961761074
1.0ms
-4.332233628861631e+64
-3.955350209244986e+47
Samples
7.0ms80×0valid
Compiler

Compiled 383 to 265 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (82.5% 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)

simplify11.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative_binary64
10×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095725
1115725
2138725
3150725
4156725
5157725
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 c #s(literal -10500000000000000054733159900266663744712474624 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (if (<=.f64 c #s(literal -4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 5923635443359697/174224571863520493293247799005065324265472 binary64)) #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 (neg.f64 d) (/.f64 a c) b) c)))))
(if (<=.f64 d #s(literal -17199999999999999100815205027642397597630464 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 5072854620270127/2305843009213693952 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 -16000000000000000718171402849214668568788992 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 5072854620270127/2305843009213693952 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 -16000000000000000718171402849214668568788992 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 5072854620270127/2305843009213693952 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 -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1261007895663739/4503599627370496 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 (neg.f64 a) d))))
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -2506146922733055/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))))
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -2506146922733055/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 c #s(literal 5923635443359697/174224571863520493293247799005065324265472 binary64)) #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)))))
(if (<=.f64 d #s(literal -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 3242591731706757/36028797018963968 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 c #s(literal -10500000000000000054733159900266663744712474624 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (if (<=.f64 c #s(literal -4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 5923635443359697/174224571863520493293247799005065324265472 binary64)) #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 (neg.f64 d) (/.f64 a c) b) c)))))
(if (<=.f64 c #s(literal -10500000000000000054733159900266663744712474624 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (if (<=.f64 c #s(literal -4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (+.f64 (*.f64 d d) (*.f64 c c))) (if (<=.f64 c #s(literal 5923635443359697/174224571863520493293247799005065324265472 binary64)) #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 (neg.f64 d) (/.f64 a c) b) c)))))
(if (<=.f64 d #s(literal -17199999999999999100815205027642397597630464 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 5072854620270127/2305843009213693952 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 -16000000000000000718171402849214668568788992 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 5072854620270127/2305843009213693952 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 -16000000000000000718171402849214668568788992 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 5072854620270127/2305843009213693952 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) 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 -16000000000000000718171402849214668568788992 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 5072854620270127/2305843009213693952 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 -16000000000000000718171402849214668568788992 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 5072854620270127/2305843009213693952 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) 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 -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1261007895663739/4503599627370496 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 (neg.f64 a) d))))
(if (<=.f64 d #s(literal -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1261007895663739/4503599627370496 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -2506146922733055/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))))
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -2506146922733055/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))))
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -2506146922733055/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 c #s(literal 5923635443359697/174224571863520493293247799005065324265472 binary64)) #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)))))
(if (<=.f64 d #s(literal -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 3242591731706757/36028797018963968 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))

soundness684.0ms (7.5%)

Memory
-16.5MiB live, 506.5MiB allocated
Rules
4 074×lower-fma.f64
4 074×lower-fma.f32
3 965×lower-fma.f64
3 965×lower-fma.f32
3 870×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069610309
123769878
084639386
034205
053203
1200203
21459203
08353203
038221
059221
1190217
21201215
08909215
01911511
16231461
218631441
354841432
084871356
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 757 to 354 computations (53.2% saved)

preprocess70.0ms (0.8%)

Memory
-2.7MiB live, 109.1MiB allocated
Compiler

Compiled 754 to 222 computations (70.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...