Complex division, imag part

Time bar (total: 8.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze25.0ms (0.3%)

Memory
10.4MiB live, 51.7MiB 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)

sample1.2s (13.7%)

Memory
-16.4MiB live, 1 086.9MiB allocated
Samples
894.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 666.0ms
ival-mult: 526.0ms (79% of total)
ival-div: 51.0ms (7.7% of total)
ival-add: 41.0ms (6.2% of total)
ival-sub: 38.0ms (5.7% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain143.0ms (1.7%)

Memory
8.9MiB live, 123.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1130-0-(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
70-0-(-.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/o560
(*.f64 b c)overflow32
(-.f64 (*.f64 b c) (*.f64 a d))overflow66
(*.f64 a d)overflow43
(+.f64 (*.f64 c c) (*.f64 d d))overflow119
(*.f64 c c)overflow55
(*.f64 d d)overflow75
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o340
(+.f64 (*.f64 c c) (*.f64 d d))overflow119
(*.f64 c c)overflow55
(*.f64 d d)overflow75
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u100
(+.f64 (*.f64 c c) (*.f64 d d))underflow18
(*.f64 c c)underflow62
(*.f64 d d)underflow69
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n100
(*.f64 b c)overflow32
(-.f64 (*.f64 b c) (*.f64 a d))overflow66
(*.f64 a d)overflow43
-.f64(-.f64 (*.f64 b c) (*.f64 a d))nan-rescue70
(*.f64 b c)overflow32
(*.f64 a d)overflow43
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u30
(*.f64 b c)underflow32
(-.f64 (*.f64 b c) (*.f64 a d))underflow3
(*.f64 a d)underflow28
(+.f64 (*.f64 c c) (*.f64 d d))underflow18
(*.f64 c c)underflow62
(*.f64 d d)underflow69
Confusion
Predicted +Predicted -
+1130
-0143
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11300
-00143
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0143
1106
27
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 13.0ms (63.5% of total)
ival-div: 3.0ms (14.7% of total)
ival-sub: 2.0ms (9.8% of total)
ival-add: 2.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess324.0ms (3.8%)

Memory
6.0MiB live, 85.1MiB allocated
Algorithm
egg-herbie
Rules
1 350×unsub-neg
982×div-sub
876×distribute-rgt-in
874×distribute-lft-in
752×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 a (neg.f64 d) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.9%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify53.0ms (0.6%)

Memory
9.3MiB live, 46.2MiB 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
752×lower-fma.f64
752×lower-fma.f32
636×times-frac
512×lower-*.f32
504×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 a (neg.f64 d) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 a (neg.f64 d) (*.f64 b c))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(*.f64 c c)
(*.f64 d d)

localize33.0ms (0.4%)

Memory
9.8MiB live, 46.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a d)
accuracy0.0078125
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy1.4960896216604118
(-.f64 (*.f64 b c) (*.f64 a d))
accuracy26.63536640934182
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
24.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 10.0ms (66% of total)
ival-sub: 3.0ms (19.8% of total)
ival-div: 1.0ms (6.6% of total)
ival-add: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
-18.7MiB live, 31.7MiB 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>) () ())) ())
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
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#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
15.0ms
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)))
1.0ms
a
@inf
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify389.0ms (4.6%)

Memory
21.2MiB live, 134.7MiB allocated
Algorithm
egg-herbie
Rules
7 930×lower-fma.f64
7 930×lower-fma.f32
3 586×lower-*.f64
3 586×lower-*.f32
2 316×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 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d 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))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d 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))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 c b) (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 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (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 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (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 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d d))) (/.f64 (*.f64 c b) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) 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 d a (/.f64 (fma.f64 a (/.f64 (*.f64 d (*.f64 d (neg.f64 d))) c) (*.f64 (*.f64 d d) b)) c)) c)) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (fma.f64 a (/.f64 (*.f64 d (*.f64 d (neg.f64 d))) c) (*.f64 (*.f64 d d) b)) c)) c)) c)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d 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))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d 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))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 d a) (neg.f64 (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 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) 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 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) 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 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 d a) (neg.f64 (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 a (-.f64 (*.f64 c (/.f64 b (*.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 a (-.f64 (*.f64 c (/.f64 b (*.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 a (-.f64 (*.f64 c (/.f64 b (*.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 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 (*.f64 d d) (fma.f64 d (/.f64 a (pow.f64 c #s(literal 4 binary64))) (/.f64 (neg.f64 b) (*.f64 c (*.f64 c c)))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) 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 c b (/.f64 (-.f64 (*.f64 c (*.f64 c a)) (*.f64 c (/.f64 (*.f64 (*.f64 c c) b) d))) d)) d) a) d)
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d)
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (-.f64 (*.f64 c (*.f64 c a)) (*.f64 c (/.f64 (*.f64 (*.f64 c c) b) d))) d)) d) a) d)
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(- (* b c) (* a d))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(- (* b c) (* a d))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(- (* b c) (* a d))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b c)
(*.f64 c b)
(* b (+ c (* -1 (/ (* a d) b))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b (+ c (* -1 (/ (* a d) b))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b (+ c (* -1 (/ (* a d) b))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b c)
(*.f64 c b)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(- (* b c) (* a d))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(- (* b c) (* a d))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(- (* b c) (* a d))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b c)
(*.f64 c b)
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b c)
(*.f64 c b)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b c)
(*.f64 c b)
(+ (* -1 (* a d)) (* b c))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(* a (- (/ (* b c) a) d))
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d))
(* a (- (/ (* b c) a) d))
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d))
(* a (- (/ (* b c) a) d))
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d))
(* b c)
(*.f64 c b)
(+ (* -1 (* a d)) (* b c))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(* d (- (/ (* b c) d) a))
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
(* d (- (/ (* b c) d) a))
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
(* d (- (/ (* b c) d) a))
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)

rewrite284.0ms (3.3%)

Memory
5.7MiB live, 240.5MiB allocated
Rules
5 586×lower-fma.f64
5 586×lower-fma.f32
5 346×lower-*.f32
5 338×lower-*.f64
3 234×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 c c) (*.f64 d d))
(+.f64 (*.f64 d d) (*.f64 c c))
(+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(+.f64 (neg.f64 (*.f64 d (neg.f64 d))) (neg.f64 (neg.f64 (*.f64 c c))))
(+.f64 (neg.f64 (neg.f64 (*.f64 c c))) (neg.f64 (*.f64 d (neg.f64 d))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))
(-.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 d c))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 d 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 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)))
(fma.f64 c c (*.f64 d d))
(fma.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 d d (*.f64 c c))
(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 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (*.f64 c (*.f64 c c)) (/.f64 c (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(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 c (+.f64 c d)) (/.f64 (*.f64 c (*.f64 c c)) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c c) (+.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 d d (*.f64 c c)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64))
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))))
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 d c)))))
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (+.f64 c d) (-.f64 c d)))
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))))
(/.f64 (neg.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) (fma.f64 (*.f64 d a) (-.f64 (*.f64 d a) (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b)))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a)))) (-.f64 (*.f64 c b) (*.f64 d a)))
(*.f64 (/.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (fma.f64 (*.f64 c b) (*.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))))) (*.f64 (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))) (*.f64 (*.f64 d a) (*.f64 (fma.f64 c b (*.f64 d a)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))))) (fma.f64 (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))) (-.f64 (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 c b) (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (*.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))) (-.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))) (-.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))
(*.f64 c b)
(*.f64 b c)
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 d a)))
(neg.f64 (neg.f64 (*.f64 d a)))
(*.f64 d a)
(*.f64 d (neg.f64 (neg.f64 a)))
(*.f64 a d)
(*.f64 a (neg.f64 (neg.f64 d)))
(*.f64 #s(literal 1 binary64) (*.f64 d a))
(*.f64 (neg.f64 a) (neg.f64 d))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 d a)))
(*.f64 (neg.f64 d) (neg.f64 a))
(*.f64 (neg.f64 (neg.f64 a)) d)
(*.f64 (neg.f64 (neg.f64 d)) a)

eval77.0ms (0.9%)

Memory
-26.1MiB live, 92.0MiB allocated
Compiler

Compiled 24 549 to 1 313 computations (94.7% saved)

prune102.0ms (1.2%)

Memory
-4.9MiB live, 157.9MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New63313646
Fresh000
Picked101
Done000
Total63413647
Accuracy
98.3%
Counts
647 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.1%
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
57.9%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
29.8%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
36.2%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
57.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))))
57.8%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) (neg.f64 (fma.f64 d d (*.f64 c c)))))
57.8%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a)))
53.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
50.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
35.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))))
39.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
41.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
42.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
Compiler

Compiled 428 to 244 computations (43% saved)

simplify116.0ms (1.4%)

Memory
24.0MiB live, 61.2MiB 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 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a)))
cost-diff0
(/.f64 (*.f64 d a) c)
cost-diff0
(-.f64 b (/.f64 (*.f64 d a) c))
cost-diff0
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
cost-diff0
(neg.f64 (fma.f64 d d (*.f64 c c)))
cost-diff0
(*.f64 d a)
cost-diff0
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))))
cost-diff0
(/.f64 b c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(/.f64 d (fma.f64 d d (*.f64 c c)))
cost-diff0
(neg.f64 a)
cost-diff1408
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
Rules
1 400×lower-fma.f32
1 396×lower-fma.f64
1 150×times-frac
952×lower-*.f32
944×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032245
050247
197233
2186233
3403233
4834233
51433233
62488233
73168233
83257233
93294233
103318233
113318233
123322233
133322233
03322233
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(neg.f64 a)
a
(/.f64 d (fma.f64 d d (*.f64 c c)))
d
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(*.f64 c b)
b
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
(/.f64 b c)
b
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(*.f64 d a)
d
a
(neg.f64 (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(-.f64 b (/.f64 (*.f64 d a) c))
b
(/.f64 (*.f64 d a) c)
(*.f64 d a)
d
a
c
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a)))
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
#s(literal 1 binary64)
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
c
(-.f64 (*.f64 c b) (*.f64 d a))
(*.f64 c b)
b
(*.f64 d a)
a
Outputs
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
(neg.f64 a)
a
(/.f64 d (fma.f64 d d (*.f64 c c)))
d
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(*.f64 c b)
b
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
(/.f64 b c)
b
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c)))
(*.f64 d a)
(*.f64 a d)
d
a
(neg.f64 (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
#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 (-.f64 b (/.f64 (*.f64 a d) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
(-.f64 b (/.f64 (*.f64 d a) c))
(-.f64 b (/.f64 (*.f64 a d) c))
b
(/.f64 (*.f64 d a) c)
(/.f64 (*.f64 a d) c)
(*.f64 d a)
(*.f64 a d)
d
a
c
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a)))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
#s(literal 1 binary64)
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
c
(-.f64 (*.f64 c b) (*.f64 d a))
(fma.f64 a (neg.f64 d) (*.f64 c b))
(*.f64 c b)
b
(*.f64 d a)
(*.f64 a d)
a

localize98.0ms (1.2%)

Memory
-9.5MiB live, 107.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 d d (*.f64 c c))
accuracy0.37827965991828544
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
accuracy1.4960896216604118
(-.f64 (*.f64 c b) (*.f64 d a))
accuracy26.481467411944738
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a)))
accuracy0
(*.f64 d a)
accuracy0.06640625
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
accuracy6.346346857892471
(/.f64 (*.f64 d a) c)
accuracy29.17207257398674
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
accuracy0
(neg.f64 (fma.f64 d d (*.f64 c c)))
accuracy0.00390625
(fma.f64 d d (*.f64 c c))
accuracy22.613408211191462
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
accuracy25.629998603834373
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))))
accuracy0
(/.f64 b c)
accuracy37.22327116542
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
accuracy0.00390625
(fma.f64 d d (*.f64 c c))
accuracy1.2948199529624338
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
accuracy15.26494079499955
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
accuracy21.932393938213597
(/.f64 d (fma.f64 d d (*.f64 c c)))
Samples
50.0ms256×0valid
Compiler

Compiled 233 to 31 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 12.0ms (37.1% of total)
ival-mult: 12.0ms (37.1% of total)
ival-sub: 3.0ms (9.3% of total)
ival-add: 3.0ms (9.3% of total)
ival-neg: 2.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory
-3.5MiB live, 71.4MiB allocated
Counts
19 → 660
Calls
Call 1
Inputs
#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())
#s(alt (/.f64 d (fma.f64 d d (*.f64 c c))) (patch (/.f64 d (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())
#s(alt (*.f64 d a) (patch (*.f64 d a) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 d d (*.f64 c c))) (patch (neg.f64 (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) #<representation binary64>) () ())
#s(alt (-.f64 b (/.f64 (*.f64 d a) c)) (patch (-.f64 b (/.f64 (*.f64 d a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 d a) c) (patch (/.f64 (*.f64 d a) c) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c 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 (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c 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 (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c 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 (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c 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 (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c 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 (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) (taylor inf d) (#s(alt (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf c) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf c) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor 0 b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (- (* b c) (* a d)) (taylor 0 b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (- (* b c) (* a d)) (taylor 0 b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (- (* b c) (* a d)) (taylor 0 b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (* b c) a) d)) (taylor inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (* b c) a) d)) (taylor inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (* b c) a) d)) (taylor inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor -inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ())
Calls

165 calls:

TimeVariablePointExpression
4.0ms
c
@-inf
(/ (- b (/ (* d a) c)) c)
3.0ms
a
@0
(/ (* d a) (neg (+ (* d d) (* c c))))
1.0ms
b
@0
(+ (* (neg a) (/ d (+ (* d d) (* c c)))) (/ (* c b) (+ (* d d) (* c c))))
1.0ms
a
@0
(+ (* (neg a) (/ d (+ (* d d) (* c c)))) (/ (* c b) (+ (* d d) (* c c))))
0.0ms
a
@inf
(+ (* (neg a) (/ d (+ (* d d) (* c c)))) (/ (* c b) (+ (* d d) (* c c))))

simplify264.0ms (3.1%)

Memory
13.3MiB live, 295.9MiB allocated
Algorithm
egg-herbie
Rules
8 084×lower-fma.f64
8 084×lower-fma.f32
5 512×lower-*.f64
5 512×lower-*.f32
2 072×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05488762
116858367
250108233
082397856
Stop Event
iter limit
node limit
Counts
660 → 654
Calls
Call 1
Inputs
(/ (* 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))))))
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(/ (* 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) (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 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)))))
(/ 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)) (* 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))
(* -1 (/ (* a d) c))
(- b (/ (* a d) c))
(- b (/ (* a d) c))
(- b (/ (* 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)))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(* -1 (/ (* a d) c))
(* d (- (/ b d) (/ a c)))
(* d (- (/ b d) (/ a c)))
(* d (- (/ b d) (/ a c)))
(* -1 (/ (* a d) c))
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c)))))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(* -1 (/ (* a d) c))
(* a (- (/ b a) (/ d c)))
(* a (- (/ b a) (/ d c)))
(* a (- (/ b a) (/ d c)))
(* -1 (/ (* a d) c))
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c)))))
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c)))))
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c)))))
(* -1 (/ (* a d) c))
(/ (- (* b c) (* a d)) c)
(/ (- (* b c) (* a d)) c)
(/ (- (* b c) (* 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)))
(/ (* 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)
(/ 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)) (/ (* 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))
(* -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)))))))
(/ (* 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))))))
(/ 1 (pow c 2))
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ 1 (pow d 2))
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (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 c 2)
(/ (* b c) (pow d 2))
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))))
(/ b c)
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c)
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ b c)
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c))
(/ (* b c) (pow d 2))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))
(/ (* b c) (pow d 2))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))
(* -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))))
(* -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))))
(* 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)
(+ (* -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))))
Outputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 d 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))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 d 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))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 d a) (fma.f64 c c (*.f64 d d))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 d a) (neg.f64 (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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 d a) (neg.f64 (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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (*.f64 c c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(/.f64 (-.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 d d) c) (*.f64 d a)) c) b) (neg.f64 c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 d (fma.f64 d (fma.f64 d (/.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 b (neg.f64 (*.f64 c (*.f64 c c))))) (/.f64 a (*.f64 c (neg.f64 c)))) (/.f64 b c))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/.f64 (fma.f64 b (/.f64 c d) (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d)
(/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d)
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(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) (*.f64 d d))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (neg.f64 (pow.f64 d #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(fma.f64 (*.f64 c c) (fma.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(fma.f64 (*.f64 c c) (fma.f64 c (*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 6 binary64))) (*.f64 c (/.f64 c (pow.f64 d #s(literal 8 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d d) (*.f64 c c)))) (*.f64 c c))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d d) (*.f64 c c)))) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d d) (*.f64 c c)))) (*.f64 c c))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d d) (*.f64 c c)))) (*.f64 c c))
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(/ (* b c) (pow d 2))
(*.f64 b (/.f64 c (*.f64 d d)))
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))))
(*.f64 c (-.f64 (/.f64 b (*.f64 d d)) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))))
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))))
(*.f64 c (fma.f64 (*.f64 c c) (-.f64 (*.f64 b (*.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))))) (/.f64 b (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 b (*.f64 d d))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))))
(*.f64 c (fma.f64 (*.f64 c c) (fma.f64 (*.f64 c c) (-.f64 (/.f64 b (pow.f64 d #s(literal 6 binary64))) (*.f64 b (*.f64 c (/.f64 c (pow.f64 d #s(literal 8 binary64)))))) (/.f64 b (neg.f64 (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 b (*.f64 d d))))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c)
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 d d) (*.f64 c c)) b) c)
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 b (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d d) (*.f64 c c))) b) c)
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)
(/.f64 (fma.f64 b (neg.f64 (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (fma.f64 b (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d d) (*.f64 c c))) b)) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 d d) (*.f64 c c)) b) c)
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c))
(/.f64 (fma.f64 b (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d d) (*.f64 c c))) b) c)
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c))
(/.f64 (fma.f64 b (neg.f64 (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (fma.f64 b (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d d) (*.f64 c c))) b)) c)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 d d) (*.f64 c c)) b) c)
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c))
(fma.f64 (*.f64 d d) (-.f64 (/.f64 (*.f64 b (*.f64 d d)) (pow.f64 c #s(literal 5 binary64))) (/.f64 b (*.f64 c (*.f64 c c)))) (/.f64 b c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c))
(fma.f64 (*.f64 d d) (fma.f64 (*.f64 d d) (-.f64 (/.f64 b (pow.f64 c #s(literal 5 binary64))) (/.f64 (*.f64 b (*.f64 d d)) (pow.f64 c #s(literal 7 binary64)))) (/.f64 b (neg.f64 (*.f64 c (*.f64 c c))))) (/.f64 b c))
(/ (* b c) (pow d 2))
(*.f64 b (/.f64 c (*.f64 d d)))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/.f64 (-.f64 (*.f64 b c) (/.f64 (*.f64 b (*.f64 c (*.f64 c c))) (*.f64 d d))) (*.f64 d d))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (*.f64 b c)) (*.f64 d d))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (-.f64 (*.f64 b c) (/.f64 (*.f64 b (pow.f64 c #s(literal 7 binary64))) (pow.f64 d #s(literal 6 binary64))))) (*.f64 d d))
(/ (* b c) (pow d 2))
(*.f64 b (/.f64 c (*.f64 d d)))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/.f64 (-.f64 (*.f64 b c) (/.f64 (*.f64 b (*.f64 c (*.f64 c c))) (*.f64 d d))) (*.f64 d d))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (*.f64 b c)) (*.f64 d d))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (-.f64 (*.f64 b c) (/.f64 (*.f64 b (pow.f64 c #s(literal 7 binary64))) (pow.f64 d #s(literal 6 binary64))))) (*.f64 d d))
(* -1 (* a d))
(*.f64 d (neg.f64 a))
(- (* b c) (* a d))
(fma.f64 b c (*.f64 d (neg.f64 a)))
(- (* b c) (* a d))
(fma.f64 b c (*.f64 d (neg.f64 a)))
(- (* b c) (* a d))
(fma.f64 b c (*.f64 d (neg.f64 a)))
(* b c)
(*.f64 b c)
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 c (-.f64 b (/.f64 (*.f64 d a) c)))
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 c (-.f64 b (/.f64 (*.f64 d a) c)))
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 c (-.f64 b (/.f64 (*.f64 d a) c)))
(* b c)
(*.f64 b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(*.f64 c (-.f64 b (/.f64 (*.f64 d a) c)))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(*.f64 c (-.f64 b (/.f64 (*.f64 d a) c)))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(*.f64 c (-.f64 b (/.f64 (*.f64 d a) c)))
(* -1 (* a d))
(*.f64 d (neg.f64 a))
(- (* b c) (* a d))
(fma.f64 b c (*.f64 d (neg.f64 a)))
(- (* b c) (* a d))
(fma.f64 b c (*.f64 d (neg.f64 a)))
(- (* b c) (* a d))
(fma.f64 b c (*.f64 d (neg.f64 a)))
(* b c)
(*.f64 b c)
(* b (+ c (* -1 (/ (* a d) b))))
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b)))
(* b (+ c (* -1 (/ (* a d) b))))
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b)))
(* b (+ c (* -1 (/ (* a d) b))))
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b)))
(* b c)
(*.f64 b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b)))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b)))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b)))
(* b c)
(*.f64 b c)
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 d (neg.f64 a)))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 d (neg.f64 a)))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 d (neg.f64 a)))
(* -1 (* a d))
(*.f64 d (neg.f64 a))
(* d (- (/ (* b c) d) a))
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))
(* d (- (/ (* b c) d) a))
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))
(* d (- (/ (* b c) d) a))
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))
(* -1 (* a d))
(*.f64 d (neg.f64 a))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))
(* b c)
(*.f64 b c)
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 d (neg.f64 a)))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 d (neg.f64 a)))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 d (neg.f64 a)))
(* -1 (* a d))
(*.f64 d (neg.f64 a))
(* a (- (/ (* b c) a) d))
(*.f64 a (fma.f64 c (/.f64 b a) (neg.f64 d)))
(* a (- (/ (* b c) a) d))
(*.f64 a (fma.f64 c (/.f64 b a) (neg.f64 d)))
(* a (- (/ (* b c) a) d))
(*.f64 a (fma.f64 c (/.f64 b a) (neg.f64 d)))
(* -1 (* a d))
(*.f64 d (neg.f64 a))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 a (fma.f64 c (/.f64 b a) (neg.f64 d)))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 a (fma.f64 c (/.f64 b a) (neg.f64 d)))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 a (fma.f64 c (/.f64 b a) (neg.f64 d)))

rewrite421.0ms (4.9%)

Memory
18.6MiB live, 365.4MiB allocated
Rules
5 232×lower-/.f32
5 218×lower-/.f64
3 878×lower-*.f32
3 870×lower-*.f64
3 256×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032197
050199
1223185
21711185
08216185
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 389
Calls
Call 1
Inputs
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(neg.f64 a)
(/.f64 d (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
(/.f64 b c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(*.f64 d a)
(neg.f64 (fma.f64 d d (*.f64 c c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(-.f64 b (/.f64 (*.f64 d a) c))
(/.f64 (*.f64 d a) c)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a)))
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
(*.f64 c c)
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(-.f64 (*.f64 c b) (*.f64 d a))
Outputs
(+.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(+.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 a d))))
(+.f64 (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (*.f64 c b) (*.f64 a d)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (-.f64 (neg.f64 (*.f64 a d)) (*.f64 c b)) (fma.f64 c c (*.f64 d d)))) (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (-.f64 (neg.f64 (*.f64 a d)) (*.f64 c b)) (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))) (fma.f64 c c (*.f64 d d))) (/.f64 (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))) (fma.f64 c c (*.f64 d d))))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (fma.f64 c b (*.f64 a d))) (fma.f64 c c (*.f64 d d))) (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (fma.f64 c b (*.f64 a d))) (fma.f64 c c (*.f64 d d))))
(-.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))))) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 c b)) (neg.f64 (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 (*.f64 c b) #s(literal 1 binary64)) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 c b))) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 (*.f64 c b) #s(literal -1 binary64)) (neg.f64 (fma.f64 c c (*.f64 d d))))
(/.f64 (/.f64 (neg.f64 (*.f64 c b)) #s(literal -1 binary64)) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 (*.f64 (*.f64 c b) #s(literal 1 binary64))) (neg.f64 (fma.f64 c c (*.f64 d d))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 c b)))) (neg.f64 (fma.f64 c c (*.f64 d d))))
(/.f64 (neg.f64 (*.f64 (*.f64 c b) #s(literal -1 binary64))) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 c b)) #s(literal -1 binary64))) (neg.f64 (fma.f64 c c (*.f64 d d))))
(pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))))
(*.f64 b (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c b))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c b)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 c b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)
(*.f64 (*.f64 (*.f64 c b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 (*.f64 c b) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 (/.f64 (*.f64 c b) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))
(*.f64 (/.f64 (*.f64 c b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d)))
(*.f64 (/.f64 (*.f64 c b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c)))
(+.f64 (*.f64 c b) (neg.f64 (*.f64 a d)))
(+.f64 (neg.f64 (*.f64 a d)) (*.f64 c b))
(+.f64 (*.f64 (*.f64 c b) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 a d)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 c b)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a d))))
(-.f64 (*.f64 c b) (*.f64 a d))
(-.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))))
(-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (fma.f64 c b (*.f64 a d))) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (fma.f64 c b (*.f64 a d))))
(-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (-.f64 (*.f64 c b) (neg.f64 (*.f64 a d)))) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (-.f64 (*.f64 c b) (neg.f64 (*.f64 a d)))))
(fma.f64 a (neg.f64 d) (*.f64 c b))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(fma.f64 c b (neg.f64 (*.f64 a d)))
(fma.f64 b c (neg.f64 (*.f64 a d)))
(fma.f64 (*.f64 c b) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 a d)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 c b) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a d))))
(fma.f64 #s(literal -1 binary64) (*.f64 a d) (*.f64 c b))
(fma.f64 (neg.f64 d) a (*.f64 c b))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))) (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c b (*.f64 a d)) (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))) (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 c b (*.f64 a d)) (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d))))))
(/.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d))))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))))
(/.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d))))) (fma.f64 c (*.f64 b (*.f64 c b)) (-.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (*.f64 c b) (neg.f64 (*.f64 a d))))))
(/.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d))) (fma.f64 c b (*.f64 a d)))
(/.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d))) (-.f64 (*.f64 c b) (neg.f64 (*.f64 a d))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d)))) (fma.f64 c b (*.f64 a d)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))))) (neg.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))))) (neg.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (-.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (*.f64 c b) (neg.f64 (*.f64 a d)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d)))) (neg.f64 (fma.f64 c b (*.f64 a d))))
(/.f64 (neg.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d)))) (neg.f64 (-.f64 (*.f64 c b) (neg.f64 (*.f64 a d)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))) (*.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))))) (*.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))))
(/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 b (*.f64 c b))) (fma.f64 c b (*.f64 a d))) (*.f64 (fma.f64 c b (*.f64 a d)) (*.f64 a (*.f64 d (*.f64 a d))))) (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c b (*.f64 a d))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d))))))) (neg.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d))))) (neg.f64 (fma.f64 c b (*.f64 a d))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d))))) (neg.f64 (neg.f64 (fma.f64 c b (*.f64 a d)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))) (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 c b (*.f64 a d)) (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 a d)))
(*.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))))
(*.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d))) (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 a d))))

eval311.0ms (3.6%)

Memory
21.3MiB live, 374.6MiB allocated
Compiler

Compiled 73 015 to 3 425 computations (95.3% saved)

prune459.0ms (5.4%)

Memory
-50.8MiB live, 372.0MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New2 415102 425
Fresh268
Picked325
Done000
Total2 420182 438
Accuracy
99.8%
Counts
2 438 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.9%
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
29.8%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
36.2%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
57.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))))
53.3%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
53.5%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
54.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c))
35.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))))
21.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
19.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
39.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
21.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
41.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
42.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
41.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
37.3%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
41.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
40.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))))
Compiler

Compiled 482 to 280 computations (41.9% saved)

simplify187.0ms (2.2%)

Memory
13.6MiB live, 87.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 b d)
cost-diff0
(fma.f64 c (/.f64 b d) (neg.f64 a))
cost-diff0
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
cost-diff0
(/.f64 (*.f64 d (neg.f64 a)) c)
cost-diff0
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c))
cost-diff0
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
cost-diff0
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
cost-diff0
(*.f64 d a)
cost-diff0
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
cost-diff0
(neg.f64 d)
cost-diff0
(/.f64 a (neg.f64 d))
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
cost-diff0
(*.f64 a d)
cost-diff0
(*.f64 c b)
cost-diff0
(-.f64 (*.f64 c b) (*.f64 a d))
cost-diff0
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
Rules
1 848×lower-fma.f32
1 844×lower-fma.f64
1 320×lower-*.f32
1 310×lower-*.f64
1 044×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039270
059266
1100266
2171266
3300266
4461266
5779266
61254266
73015266
83936266
94175266
104219266
114242266
124258266
134275266
144471266
154551266
164551266
174551266
04551266
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(-.f64 (*.f64 c b) (*.f64 a d))
(*.f64 c b)
c
b
(*.f64 a d)
a
d
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
(/.f64 a (neg.f64 d))
a
(neg.f64 d)
d
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))
(*.f64 d a)
d
a
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(*.f64 d d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c))
(/.f64 (*.f64 d (neg.f64 a)) c)
(*.f64 d (neg.f64 a))
d
(neg.f64 a)
a
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(fma.f64 c (/.f64 b d) (neg.f64 a))
c
(/.f64 b d)
b
d
(neg.f64 a)
a
Outputs
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 c b (*.f64 a (neg.f64 d))) (fma.f64 c c (*.f64 d d)))
(-.f64 (*.f64 c b) (*.f64 a d))
(fma.f64 c b (*.f64 a (neg.f64 d)))
(*.f64 c b)
c
b
(*.f64 a d)
a
d
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
(/.f64 a (neg.f64 d))
a
(neg.f64 d)
d
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a (neg.f64 d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))))
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))
(/.f64 (*.f64 a (neg.f64 d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(*.f64 d a)
(*.f64 a d)
d
a
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(*.f64 d d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a d) (neg.f64 c))) c))
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a d) (neg.f64 c))) c)
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c))
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a d) (neg.f64 c)))
(/.f64 (*.f64 d (neg.f64 a)) c)
(/.f64 (*.f64 a d) (neg.f64 c))
(*.f64 d (neg.f64 a))
(*.f64 a (neg.f64 d))
d
(neg.f64 a)
a
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(fma.f64 c (/.f64 b d) (neg.f64 a))
(-.f64 (/.f64 (*.f64 c b) d) a)
c
(/.f64 b d)
b
d
(neg.f64 a)
a

localize118.0ms (1.4%)

Memory
-4.3MiB live, 153.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 a)
accuracy1.4287155759824952
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
accuracy1.4686900518422306
(fma.f64 c (/.f64 b d) (neg.f64 a))
accuracy29.712885477043613
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
accuracy0.06640625
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)
accuracy6.346346857892471
(/.f64 (*.f64 d (neg.f64 a)) c)
accuracy29.17207257398674
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
accuracy29.959137296554186
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c))
accuracy0
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
accuracy22.613408211191462
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))
accuracy25.629998603834373
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
accuracy27.04100528319832
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
accuracy0
(/.f64 a (neg.f64 d))
accuracy0
(neg.f64 d)
accuracy37.09723303129607
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
accuracy0
(*.f64 a d)
accuracy0.00390625
(fma.f64 c c (*.f64 d d))
accuracy1.4960896216604118
(-.f64 (*.f64 c b) (*.f64 a d))
accuracy26.63536640934182
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
Samples
75.0ms256×0valid
Compiler

Compiled 205 to 32 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 14.0ms (39.4% of total)
ival-mult: 12.0ms (33.8% of total)
ival-sub: 3.0ms (8.5% of total)
ival-add: 3.0ms (8.5% of total)
ival-neg: 3.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory
-3.3MiB live, 74.8MiB allocated
Counts
22 → 768
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 c b) (*.f64 a d)) (patch (-.f64 (*.f64 c b) (*.f64 a d)) #<representation binary64>) () ())
#s(alt (*.f64 c b) (patch (*.f64 c b) #<representation binary64>) () ())
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) #<representation binary64>) () ())
#s(alt (/.f64 a (neg.f64 d)) (patch (/.f64 a (neg.f64 d)) #<representation binary64>) () ())
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) #<representation binary64>) () ())
#s(alt (*.f64 d a) (patch (*.f64 d a) #<representation binary64>) () ())
#s(alt (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) (patch (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) (patch (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) #<representation binary64>) () ())
#s(alt #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) (patch #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 d (neg.f64 a)) c) (patch (/.f64 (*.f64 d (neg.f64 a)) c) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (patch (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) #<representation binary64>) () ())
#s(alt (fma.f64 c (/.f64 b d) (neg.f64 a)) (patch (fma.f64 c (/.f64 b d) (neg.f64 a)) #<representation binary64>) () ())
#s(alt (/.f64 b d) (patch (/.f64 b d) #<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 (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 a) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 a) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.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 a) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<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 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<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 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<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 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<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 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<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 (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* 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 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* 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 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* 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 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ())) ())
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#s(alt (/ b d) (taylor 0 b) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 b) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor inf b) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor inf b) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor inf b) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor inf b) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf b) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf b) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf b) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf b) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
Calls

192 calls:

TimeVariablePointExpression
13.0ms
d
@-inf
(/ (+ (* c (/ b d)) (neg a)) d)
1.0ms
a
@0
(/ a (neg d))
0.0ms
a
@0
(/ (+ (* c (/ b d)) (neg a)) d)
0.0ms
b
@inf
(/ (+ (* c (/ b d)) (neg a)) d)
0.0ms
b
@-inf
(/ (+ (* c (/ b d)) (neg a)) d)

simplify383.0ms (4.5%)

Memory
-5.1MiB live, 282.1MiB allocated
Algorithm
egg-herbie
Rules
12 112×lower-fma.f64
12 112×lower-fma.f32
5 264×lower-*.f64
5 264×lower-*.f32
2 808×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03888594
112598244
239758120
083207764
Stop Event
iter limit
node limit
Counts
768 → 762
Calls
Call 1
Inputs
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(/ 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))
(* -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)))))))
(/ (* 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)
(* 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))))
(* -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))))
(* 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)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
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b
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b
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(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(/ (* 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)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/ (* b c) (pow d 2))
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(/ (* b c) (pow d 2))
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/ (* b c) (pow d 2))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(/ (* b c) (pow d 2))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(/ (* b c) (pow d 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/ (* b c) (pow d 2))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(* -1 (/ a d))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(* -1 (/ a d))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(* c (+ (* -1 (/ a c)) (/ b d)))
(* c (+ (* -1 (/ a c)) (/ b d)))
(* c (+ (* -1 (/ a c)) (/ b d)))
(/ (* b c) d)
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(* b (+ (* -1 (/ a b)) (/ c d)))
(* b (+ (* -1 (/ a b)) (/ c d)))
(* b (+ (* -1 (/ a b)) (/ c d)))
(/ (* b c) d)
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(/ (* b c) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(+ (* -1 a) (/ (* b c) d))
(+ (* -1 a) (/ (* b c) d))
(+ (* -1 a) (/ (* b c) d))
(* -1 a)
(* a (- (/ (* b c) (* a d)) 1))
(* a (- (/ (* b c) (* a d)) 1))
(* a (- (/ (* b c) (* a d)) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(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))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
Outputs
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) 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 b (/.f64 c (*.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 c (fma.f64 c (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 a (*.f64 d (*.f64 d d)))) (/.f64 b (*.f64 d d))) (/.f64 a (neg.f64 d)))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (*.f64 c c))
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(neg.f64 (/.f64 (-.f64 (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) 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 (fma.f64 b (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 (/.f64 a c) (-.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)) d))) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (*.f64 c c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(neg.f64 (/.f64 (-.f64 (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c) b) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/.f64 (-.f64 (/.f64 (fma.f64 a d (/.f64 (-.f64 (*.f64 b (*.f64 d d)) (/.f64 (*.f64 a (*.f64 d (*.f64 d d))) c)) c)) c) b) (neg.f64 c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 a d) (neg.f64 (fma.f64 d d (*.f64 c c))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a 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))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a 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))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c))))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c))))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c))))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.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 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (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 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (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 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c))))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a 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))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a 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))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 a d) (neg.f64 (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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 a d) (neg.f64 (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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.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 a (neg.f64 d) (*.f64 b c)) (*.f64 c c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(neg.f64 (/.f64 (-.f64 (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c) b) c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 (*.f64 d d) (-.f64 (/.f64 (*.f64 a d) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 b (*.f64 c (*.f64 c c)))) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (*.f64 c c)))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) 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 c (/.f64 b 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 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (*.f64 (/.f64 b d) (-.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))))) d)
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) d) (*.f64 b c)) d) a) d)
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
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(* a (- (/ (* b c) (* a d)) 1))
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
(* a (- (/ (* b c) (* a d)) 1))
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
(* -1 a)
(neg.f64 a)
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b 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 (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(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 d (/.f64 (*.f64 c c) (*.f64 d d)) d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d))
(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 d (/.f64 (*.f64 c c) (*.f64 d d)) d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 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 (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)

rewrite287.0ms (3.4%)

Memory
16.4MiB live, 366.0MiB allocated
Rules
5 022×lower-fma.f32
5 018×lower-fma.f64
4 988×lower-/.f32
4 974×lower-/.f64
4 486×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039243
059239
1232239
21464239
08191239
Stop Event
iter limit
node limit
iter limit
Counts
22 → 672
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(-.f64 (*.f64 c b) (*.f64 a d))
(*.f64 c b)
(*.f64 a d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
(/.f64 a (neg.f64 d))
(neg.f64 d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))
(*.f64 d a)
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c))
(/.f64 (*.f64 d (neg.f64 a)) c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(fma.f64 c (/.f64 b d) (neg.f64 a))
(/.f64 b d)
(fma.f64 c c (*.f64 d d))
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(neg.f64 a)
Outputs
(+.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (neg.f64 d) (*.f64 c b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 a (neg.f64 d) (*.f64 c b))) (fma.f64 c c (*.f64 d d))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))) (fma.f64 c c (*.f64 d d))) (/.f64 (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))) (fma.f64 c c (*.f64 d d))))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (fma.f64 c b (*.f64 a d))) (fma.f64 c c (*.f64 d d))) (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (fma.f64 c b (*.f64 a d))) (fma.f64 c c (*.f64 d d))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))))) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))))))
(-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c b (*.f64 a d)))) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c b (*.f64 a d)))))
(-.f64 (/.f64 (*.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a d)) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))))) (fma.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (fma.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))))) (/.f64 (*.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) (fma.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (fma.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) (fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) (/.f64 (*.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))) (fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))))
(fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (neg.f64 (*.f64 c b)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (/.f64 (*.f64 c b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (/.f64 (*.f64 c b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (/.f64 (*.f64 c b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (/.f64 (*.f64 c b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c)) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (/.f64 c (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (/.f64 c (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (/.f64 b (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (/.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (/.f64 b (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (/.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (/.f64 b (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(fma.f64 (/.f64 b (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))
(neg.f64 (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (neg.f64 (fma.f64 c c (*.f64 d d)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (neg.f64 d) (*.f64 c b))) (fma.f64 c c (*.f64 d d))))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 (fma.f64 a (neg.f64 d) (*.f64 c b))) (neg.f64 (fma.f64 c c (*.f64 d d))))
(/.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (neg.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (neg.f64 d) (*.f64 c b))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 a (*.f64 a a)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(*.f64 a #s(literal -1 binary64))
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(*.f64 #s(literal -1 binary64) a)
(*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)))

eval218.0ms (2.6%)

Memory
-6.8MiB live, 277.1MiB allocated
Compiler

Compiled 29 502 to 2 171 computations (92.6% saved)

prune210.0ms (2.5%)

Memory
26.7MiB live, 260.4MiB allocated
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New1 450151 465
Fresh9211
Picked325
Done022
Total1 462211 483
Accuracy
99.8%
Counts
1 483 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.8%
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
36.2%
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
39.6%
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
51.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (*.f64 c b) d) (/.f64 #s(literal 1 binary64) d) (/.f64 a (neg.f64 d))))
23.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (*.f64 c b) d)) d))
53.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
35.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))))
21.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
19.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
23.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
23.3%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
21.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d))
45.9%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))) d))
50.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d))
41.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
42.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
53.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) (/.f64 #s(literal 1 binary64) d)))
41.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
41.9%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
19.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))))
17.9%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d)))))
Compiler

Compiled 569 to 330 computations (42% saved)

simplify158.0ms (1.9%)

Memory
4.3MiB live, 164.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d))
cost-diff512
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
cost-diff0
(*.f64 (/.f64 (neg.f64 a) c) d)
cost-diff0
#s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d))
cost-diff0
(/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
cost-diff0
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
cost-diff0
(*.f64 d a)
cost-diff0
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
cost-diff0
(/.f64 #s(literal -1 binary64) d)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
cost-diff0
(/.f64 c d)
cost-diff0
(fma.f64 b (/.f64 c d) (neg.f64 a))
cost-diff0
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
Rules
4 296×lower-fma.f32
4 292×lower-fma.f64
3 432×lower-*.f32
3 420×lower-*.f64
1 932×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046347
066339
1117339
2218339
3428330
4746330
51431330
63653330
75697330
87183330
97927330
08007321
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 b (/.f64 c d) (neg.f64 a)) d))
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
(fma.f64 b (/.f64 c d) (neg.f64 a))
b
(/.f64 c d)
c
d
(neg.f64 a)
a
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
(/.f64 #s(literal -1 binary64) d)
#s(literal -1 binary64)
d
a
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
(*.f64 d a)
d
a
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
(/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)
#s(approx (- b (/ (* d a) c)) (*.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 (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d))
(/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)
#s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))))
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
a
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
b
(/.f64 c (*.f64 a d))
c
(*.f64 a d)
d
#s(literal -1 binary64)
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
(fma.f64 b (/.f64 c d) (neg.f64 a))
b
(/.f64 c d)
c
d
(neg.f64 a)
a
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
(/.f64 a (neg.f64 d))
(/.f64 #s(literal -1 binary64) d)
#s(literal -1 binary64)
d
a
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d (neg.f64 a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
(/.f64 (*.f64 d (neg.f64 a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(*.f64 d a)
(*.f64 a d)
d
a
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
(/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)
#s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d))
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c))
(*.f64 (/.f64 (neg.f64 a) c) d)
(/.f64 (*.f64 d (neg.f64 a)) c)
(/.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 (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (fma.f64 b (/.f64 c d) (neg.f64 a))) d))
(/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)
(/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (fma.f64 b (/.f64 c d) (neg.f64 a))) d)
#s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))))
#s(approx (+ (* c (/ b d)) (neg a)) (fma.f64 b (/.f64 c d) (neg.f64 a)))
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
(fma.f64 b (/.f64 c d) (neg.f64 a))
a
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
b
(/.f64 c (*.f64 a d))
c
(*.f64 a d)
d
#s(literal -1 binary64)

localize140.0ms (1.6%)

Memory
-17.0MiB live, 170.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy3.1330998393404927
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
accuracy3.343217402895417
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
accuracy6.191465366792365
(/.f64 c (*.f64 a d))
accuracy29.712885477043613
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d))
accuracy0.06640625
(/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)
accuracy2.946836035863925
(*.f64 (/.f64 (neg.f64 a) c) d)
accuracy29.17207257398674
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
accuracy29.959137296554186
#s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d))
accuracy0
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
accuracy22.613408211191462
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
accuracy25.629998603834373
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
accuracy27.717070134699814
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
accuracy0
(/.f64 #s(literal -1 binary64) d)
accuracy0.24609375
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
accuracy37.09723303129607
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
accuracy0
(neg.f64 a)
accuracy1.4287155759824952
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
accuracy3.859481498615733
(fma.f64 b (/.f64 c d) (neg.f64 a))
accuracy29.712885477043613
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
Samples
75.0ms256×0valid
Compiler

Compiled 233 to 38 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 20.0ms (43.3% of total)
ival-div: 17.0ms (36.8% of total)
ival-add: 5.0ms (10.8% of total)
ival-sub: 2.0ms (4.3% of total)
ival-neg: 2.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series70.0ms (0.8%)

Memory
-11.8MiB live, 53.4MiB allocated
Counts
23 → 876
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) (patch (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) #<representation binary64>) () ())
#s(alt (fma.f64 b (/.f64 c d) (neg.f64 a)) (patch (fma.f64 b (/.f64 c d) (neg.f64 a)) #<representation binary64>) () ())
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) d) a) (patch (*.f64 (/.f64 #s(literal -1 binary64) d) a) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) d) (patch (/.f64 #s(literal -1 binary64) d) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) #<representation binary64>) () ())
#s(alt (*.f64 d a) (patch (*.f64 d a) #<representation binary64>) () ())
#s(alt (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) (patch (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c) (patch (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c) #<representation binary64>) () ())
#s(alt #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) (patch #s(approx (- b (/ (* d a) c)) (*.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 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) (patch (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d) (patch (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) (patch #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())
#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())
#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())
#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) (patch (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) (patch (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) (patch (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) #<representation binary64>) () ())) ())
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#s(alt (/ (* b c) (pow d 2)) (taylor inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) (patch (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) #<representation binary64>) () ())) ())
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#s(alt (/ (* b c) (* a d)) (taylor -inf c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c)))) (taylor -inf c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c)))) (taylor -inf c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c)))) (taylor -inf c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (* a d)) (taylor 0 a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) a) (taylor 0 a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) a) (taylor 0 a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) a) (taylor 0 a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) (* a d)) 1) (taylor inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) (* a d)) 1) (taylor inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) (* a d)) 1) (taylor inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) (* a d)) 1) (taylor -inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) (* a d)) 1) (taylor -inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) (* a d)) 1) (taylor -inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (* a d)) (taylor 0 d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 d) (/ (* b c) a)) d) (taylor 0 d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 d) (/ (* b c) a)) d) (taylor 0 d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 d) (/ (* b c) a)) d) (taylor 0 d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) (* a d)) 1) (taylor inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) (* a d)) 1) (taylor inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) (* a d)) 1) (taylor inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) (* a d)) 1) (taylor -inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) (* a d)) 1) (taylor -inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (* b c) (* a d)) 1) (taylor -inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

219 calls:

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

simplify287.0ms (3.4%)

Memory
-0.8MiB live, 351.3MiB allocated
Algorithm
egg-herbie
Rules
12 242×lower-fma.f64
12 242×lower-fma.f32
5 038×lower-*.f64
5 038×lower-*.f32
2 794×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03869698
112289279
239429147
084918759
Stop Event
iter limit
node limit
Counts
876 → 870
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))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/ (* b c) (pow d 2))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(/ (* b c) (pow d 2))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/ (* b c) (pow d 2))
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(/ (* b c) (pow d 2))
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))
(/ (* b c) (pow d 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/ (* b c) (pow d 2))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(* -1 (/ a d))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(* -1 (/ a d))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(* b (+ (* -1 (/ a b)) (/ c d)))
(* b (+ (* -1 (/ a b)) (/ c d)))
(* b (+ (* -1 (/ a b)) (/ c d)))
(/ (* b c) d)
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(* c (+ (* -1 (/ a c)) (/ b d)))
(* c (+ (* -1 (/ a c)) (/ b d)))
(* c (+ (* -1 (/ a c)) (/ b d)))
(/ (* b c) d)
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(/ (* b c) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(+ (* -1 a) (/ (* b c) d))
(+ (* -1 a) (/ (* b c) d))
(+ (* -1 a) (/ (* b c) d))
(* -1 a)
(* a (- (/ (* b c) (* a d)) 1))
(* a (- (/ (* b c) (* a d)) 1))
(* a (- (/ (* b c) (* a d)) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(/ 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)
(* -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)
(/ (- (+ (* -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 d)
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(/ 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)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/ (* b c) (pow d 2))
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))
(/ (* b c) (pow d 2))
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/ (* b c) (pow d 2))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(/ (* b c) (pow d 2))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(/ (* b c) (pow d 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/ (* b c) (pow d 2))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(* -1 (/ a d))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(* -1 (/ a d))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(* c (+ (* -1 (/ a c)) (/ b d)))
(* c (+ (* -1 (/ a c)) (/ b d)))
(* c (+ (* -1 (/ a c)) (/ b d)))
(/ (* b c) d)
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(* b (+ (* -1 (/ a b)) (/ c d)))
(* b (+ (* -1 (/ a b)) (/ c d)))
(* b (+ (* -1 (/ a b)) (/ c d)))
(/ (* b c) d)
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(/ (* b c) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(+ (* -1 a) (/ (* b c) d))
(+ (* -1 a) (/ (* b c) d))
(+ (* -1 a) (/ (* b c) d))
(* -1 a)
(* a (- (/ (* b c) (* a d)) 1))
(* a (- (/ (* b c) (* a d)) 1))
(* a (- (/ (* b c) (* a d)) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(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))))
(/ 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))
-1
(- (/ (* b c) (* a d)) 1)
(- (/ (* b c) (* a d)) 1)
(- (/ (* b c) (* a d)) 1)
(/ (* b c) (* a d))
(* b (- (/ c (* a d)) (/ 1 b)))
(* b (- (/ c (* a d)) (/ 1 b)))
(* b (- (/ c (* a d)) (/ 1 b)))
(/ (* b c) (* a d))
(* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b))))
(* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b))))
(* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b))))
-1
(- (/ (* b c) (* a d)) 1)
(- (/ (* b c) (* a d)) 1)
(- (/ (* b c) (* a d)) 1)
(/ (* b c) (* a d))
(* c (- (/ b (* a d)) (/ 1 c)))
(* c (- (/ b (* a d)) (/ 1 c)))
(* c (- (/ b (* a d)) (/ 1 c)))
(/ (* b c) (* a d))
(* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c))))
(* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c))))
(* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c))))
(/ (* b c) (* a d))
(/ (+ (* -1 a) (/ (* b c) d)) a)
(/ (+ (* -1 a) (/ (* b c) d)) a)
(/ (+ (* -1 a) (/ (* b c) d)) a)
-1
(- (/ (* b c) (* a d)) 1)
(- (/ (* b c) (* a d)) 1)
(- (/ (* b c) (* a d)) 1)
-1
(- (/ (* b c) (* a d)) 1)
(- (/ (* b c) (* a d)) 1)
(- (/ (* b c) (* a d)) 1)
(/ (* b c) (* a d))
(/ (+ (* -1 d) (/ (* b c) a)) d)
(/ (+ (* -1 d) (/ (* b c) a)) d)
(/ (+ (* -1 d) (/ (* b c) a)) d)
-1
(- (/ (* b c) (* a d)) 1)
(- (/ (* b c) (* a d)) 1)
(- (/ (* b c) (* a d)) 1)
-1
(- (/ (* b c) (* a d)) 1)
(- (/ (* b c) (* a d)) 1)
(- (/ (* b c) (* a d)) 1)
Outputs
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 a d) (neg.f64 (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 a (/.f64 d (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (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 a (/.f64 d (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (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 a (/.f64 d (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 b (fma.f64 a (neg.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 b (fma.f64 a (neg.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 b (fma.f64 a (neg.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 c b) (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 b (fma.f64 a (neg.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b))) (/.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 b (fma.f64 a (neg.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b))) (/.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 b (fma.f64 a (neg.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 c (/.f64 b (*.f64 d d)) (/.f64 (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d d))) (/.f64 (*.f64 c b) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 c c))
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 d (*.f64 d b)) c)) c)) 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 a c) (-.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)) d) b) (/.f64 (*.f64 d (*.f64 d b)) (*.f64 c c))) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 c c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 d (*.f64 d b)) c)) c)) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/.f64 (-.f64 (/.f64 (fma.f64 a d (/.f64 (fma.f64 a (/.f64 (*.f64 d (*.f64 d (neg.f64 d))) c) (*.f64 d (*.f64 d b))) c)) c) b) (neg.f64 c))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 c b) (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 a (/.f64 d (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (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 a (/.f64 d (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (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 a (/.f64 d (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 a d) (neg.f64 (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 a (fma.f64 c (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (neg.f64 (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 a (fma.f64 c (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (neg.f64 (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 a (fma.f64 c (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (neg.f64 (fma.f64 d d (*.f64 c c))))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 a d) (neg.f64 (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 a (fma.f64 c (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (neg.f64 (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 a (fma.f64 c (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (neg.f64 (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 a (fma.f64 c (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (neg.f64 (fma.f64 d d (*.f64 c c))))))
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 c c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 d (*.f64 d b)) c)) c)) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 (*.f64 d d) (-.f64 (/.f64 (*.f64 a d) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 b (*.f64 c (*.f64 c c)))) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 c c)))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) 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 c (/.f64 b 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 (fma.f64 (/.f64 b d) (-.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d)
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 a (/.f64 (fma.f64 a (/.f64 (*.f64 c c) d) (*.f64 c b)) d)) (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 a (*.f64 c c) (/.f64 (*.f64 c (*.f64 c (*.f64 c (neg.f64 b)))) d)) d)) d)) (neg.f64 d))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(/ (* b c) (pow d 2))
(*.f64 c (/.f64 b (*.f64 d d)))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b))))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b))))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b))))
(/ (* b c) (pow d 2))
(*.f64 c (/.f64 b (*.f64 d d)))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b))))
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(*.f64 c (-.f64 (/.f64 b (*.f64 d d)) (/.f64 a (*.f64 d c))))
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))))
(*.f64 c (-.f64 (/.f64 b (*.f64 d d)) (/.f64 a (*.f64 d c))))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(/ (* b c) (pow d 2))
(*.f64 c (/.f64 b (*.f64 d d)))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b))))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b))))
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b))))
(/ (* b c) (pow d 2))
(*.f64 c (/.f64 b (*.f64 d d)))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b))))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b))))
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))))
(*.f64 b (-.f64 (/.f64 c (*.f64 d d)) (/.f64 a (*.f64 d b))))
(/ (* b c) (pow d 2))
(*.f64 c (/.f64 b (*.f64 d d)))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(/ (* b c) (pow d 2))
(*.f64 c (/.f64 b (*.f64 d d)))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(*.f64 a (fma.f64 c (/.f64 b (*.f64 a (*.f64 d d))) (/.f64 #s(literal -1 binary64) d)))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(*.f64 a (fma.f64 c (/.f64 b (*.f64 a (*.f64 d d))) (/.f64 #s(literal -1 binary64) d)))
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))
(*.f64 a (fma.f64 c (/.f64 b (*.f64 a (*.f64 d d))) (/.f64 #s(literal -1 binary64) d)))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(*.f64 a (fma.f64 c (/.f64 b (*.f64 a (*.f64 d d))) (/.f64 #s(literal -1 binary64) d)))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(*.f64 a (fma.f64 c (/.f64 b (*.f64 a (*.f64 d d))) (/.f64 #s(literal -1 binary64) d)))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))))
(*.f64 a (fma.f64 c (/.f64 b (*.f64 a (*.f64 d d))) (/.f64 #s(literal -1 binary64) d)))
(* -1 a)
(neg.f64 a)
(- (/ (* b c) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(- (/ (* b c) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(- (/ (* b c) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(/ (* b c) d)
(*.f64 c (/.f64 b d))
(* c (+ (* -1 (/ a c)) (/ b d)))
(*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))
(* c (+ (* -1 (/ a c)) (/ b d)))
(*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))
(* c (+ (* -1 (/ a c)) (/ b d)))
(*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))
(/ (* b c) d)
(*.f64 c (/.f64 b d))
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))
(* -1 a)
(neg.f64 a)
(- (/ (* b c) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(- (/ (* b c) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(- (/ (* b c) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(/ (* b c) d)
(*.f64 c (/.f64 b d))
(* b (+ (* -1 (/ a b)) (/ c d)))
(*.f64 b (-.f64 (/.f64 c d) (/.f64 a b)))
(* b (+ (* -1 (/ a b)) (/ c d)))
(*.f64 b (-.f64 (/.f64 c d) (/.f64 a b)))
(* b (+ (* -1 (/ a b)) (/ c d)))
(*.f64 b (-.f64 (/.f64 c d) (/.f64 a b)))
(/ (* b c) d)
(*.f64 c (/.f64 b d))
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(*.f64 b (-.f64 (/.f64 c d) (/.f64 a b)))
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(*.f64 b (-.f64 (/.f64 c d) (/.f64 a b)))
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(*.f64 b (-.f64 (/.f64 c d) (/.f64 a b)))
(/ (* b c) d)
(*.f64 c (/.f64 b d))
(/ (+ (* -1 (* a d)) (* b c)) d)
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) d)
(* -1 a)
(neg.f64 a)
(- (/ (* b c) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(- (/ (* b c) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(- (/ (* b c) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(* -1 a)
(neg.f64 a)
(- (/ (* b c) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(- (/ (* b c) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(- (/ (* b c) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(/ (* b c) d)
(*.f64 c (/.f64 b d))
(+ (* -1 a) (/ (* b c) d))
(-.f64 (*.f64 c (/.f64 b d)) a)
(+ (* -1 a) (/ (* b c) d))
(-.f64 (*.f64 c (/.f64 b d)) a)
(+ (* -1 a) (/ (* b c) d))
(-.f64 (*.f64 c (/.f64 b d)) a)
(* -1 a)
(neg.f64 a)
(* a (- (/ (* b c) (* a d)) 1))
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
(* a (- (/ (* b c) (* a d)) 1))
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
(* a (- (/ (* b c) (* a d)) 1))
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
(* -1 a)
(neg.f64 a)
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
(/ c (* a d))
(/.f64 c (*.f64 a d))
-1
#s(literal -1 binary64)
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(/ (* b c) (* a d))
(*.f64 b (/.f64 c (*.f64 a d)))
(* b (- (/ c (* a d)) (/ 1 b)))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(* b (- (/ c (* a d)) (/ 1 b)))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(* b (- (/ c (* a d)) (/ 1 b)))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(/ (* b c) (* a d))
(*.f64 b (/.f64 c (*.f64 a d)))
(* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b))))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b))))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b))))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(/ (* b c) (* a d))
(*.f64 b (/.f64 c (*.f64 a d)))
(* c (- (/ b (* a d)) (/ 1 c)))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(* c (- (/ b (* a d)) (/ 1 c)))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(* c (- (/ b (* a d)) (/ 1 c)))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(/ (* b c) (* a d))
(*.f64 b (/.f64 c (*.f64 a d)))
(* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c))))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c))))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c))))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(/ (* b c) (* a d))
(*.f64 b (/.f64 c (*.f64 a d)))
(/ (+ (* -1 a) (/ (* b c) d)) a)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(/ (+ (* -1 a) (/ (* b c) d)) a)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(/ (+ (* -1 a) (/ (* b c) d)) a)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(/ (* b c) (* a d))
(*.f64 b (/.f64 c (*.f64 a d)))
(/ (+ (* -1 d) (/ (* b c) a)) d)
(/.f64 (-.f64 (/.f64 (*.f64 c b) a) d) d)
(/ (+ (* -1 d) (/ (* b c) a)) d)
(/.f64 (-.f64 (/.f64 (*.f64 c b) a) d) d)
(/ (+ (* -1 d) (/ (* b c) a)) d)
(/.f64 (-.f64 (/.f64 (*.f64 c b) a) d) d)
-1
#s(literal -1 binary64)
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(- (/ (* b c) (* a d)) 1)
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))

rewrite374.0ms (4.4%)

Memory
34.7MiB live, 385.5MiB allocated
Rules
5 978×lower-fma.f32
5 974×lower-fma.f64
5 680×lower-/.f32
5 664×lower-/.f64
4 482×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046317
066312
1270312
21764312
08643303
Stop Event
iter limit
node limit
iter limit
Counts
23 → 536
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
(fma.f64 b (/.f64 c d) (neg.f64 a))
(/.f64 c d)
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
(/.f64 #s(literal -1 binary64) d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
(*.f64 d a)
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
(/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)
#s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d))
(*.f64 (/.f64 (neg.f64 a) c) d)
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d))
(/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)
#s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))))
(neg.f64 a)
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
(/.f64 c (*.f64 a d))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 b c) d) d) (/.f64 a d))
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) (neg.f64 d)))
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (fma.f64 b (/.f64 c d) a)) d) (/.f64 (/.f64 (*.f64 a a) (fma.f64 b (/.f64 c d) a)) d))
(-.f64 (/.f64 (fma.f64 b (/.f64 c d) #s(literal 0 binary64)) d) (/.f64 a d))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 d (fma.f64 b (/.f64 c d) a))) (/.f64 (*.f64 a a) (*.f64 d (fma.f64 b (/.f64 c d) a))))
(neg.f64 (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) (neg.f64 d)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (/.f64 c d) (neg.f64 a))) d))
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)))) (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 b (/.f64 c d) a)) (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d))) d) (*.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (/.f64 c d) a) d) (*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d))) (*.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 c d) a) (*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) d))))
(/.f64 (neg.f64 (fma.f64 b (/.f64 c d) (neg.f64 a))) (neg.f64 d))
(/.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) (*.f64 d (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)))))
(/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)) (*.f64 d (fma.f64 b (/.f64 c d) a)))
(/.f64 (*.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d))) d))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 b (/.f64 c d) a) d))
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d))))) (neg.f64 (*.f64 d (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a))) (neg.f64 (*.f64 d (fma.f64 b (/.f64 c d) a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)))) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) #s(literal 1 binary64)) d)
(/.f64 (*.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d)) (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) d)) (fma.f64 b (/.f64 c d) a))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b c) d) d) (*.f64 a d)) (*.f64 d d))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d))) d)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b (/.f64 c d) a) d)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 b (/.f64 c d) (neg.f64 a))))) (neg.f64 (neg.f64 (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) #s(literal 1 binary64))) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d))) (neg.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) d))) (neg.f64 (fma.f64 b (/.f64 c d) a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 b c) d) d) #s(literal 3 binary64)) (pow.f64 (/.f64 a d) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 b c) d) d) (/.f64 (/.f64 (*.f64 b c) d) d) (fma.f64 (/.f64 a d) (/.f64 a d) (*.f64 (/.f64 (/.f64 (*.f64 b c) d) d) (/.f64 a d)))))
(pow.f64 (/.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a))) #s(literal -1 binary64))
(*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) (/.f64 (fma.f64 b (/.f64 c d) a) (fma.f64 b (/.f64 c d) a)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
(*.f64 (neg.f64 (fma.f64 b (/.f64 c d) (neg.f64 a))) (/.f64 #s(literal -1 binary64) d))
(*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 b (/.f64 c d) (neg.f64 a)))
(*.f64 (pow.f64 (/.f64 d (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)))))
(*.f64 (pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c d) a)))
(*.f64 (/.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d))) d) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)))))
(+.f64 (neg.f64 a) (/.f64 (*.f64 b c) d))
(+.f64 (/.f64 (*.f64 b c) d) (neg.f64 a))
(-.f64 (/.f64 (*.f64 b c) d) a)
(-.f64 #s(literal 0 binary64) (-.f64 a (/.f64 (*.f64 b c) d)))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (fma.f64 b (/.f64 c d) a)) (/.f64 (*.f64 a a) (fma.f64 b (/.f64 c d) a)))
(-.f64 (fma.f64 b (/.f64 c d) #s(literal 0 binary64)) a)
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d))) (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) a)))) (/.f64 (*.f64 a (*.f64 a a)) (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) a)))))
(-.f64 (/.f64 (*.f64 a a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d))) (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d))))
(fma.f64 b (/.f64 c d) (neg.f64 a))
(fma.f64 c (/.f64 b d) (neg.f64 a))
(fma.f64 (*.f64 b c) (/.f64 #s(literal 1 binary64) d) (neg.f64 a))
(fma.f64 a #s(literal -1 binary64) (/.f64 (*.f64 b c) d))
(fma.f64 (/.f64 c d) b (neg.f64 a))
(fma.f64 (/.f64 c d) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (neg.f64 a))
(fma.f64 #s(literal -1 binary64) a (/.f64 (*.f64 b c) d))
(fma.f64 (/.f64 b d) c (neg.f64 a))
(fma.f64 (/.f64 b d) (/.f64 c #s(literal 1 binary64)) (neg.f64 a))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 b (/.f64 #s(literal 1 binary64) c)) (neg.f64 a))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 c (/.f64 #s(literal 1 binary64) b)) (neg.f64 a))
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d) (neg.f64 a))
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 b) d) (neg.f64 a))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 c) d) (neg.f64 a))
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 c d) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c d) (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c d) (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c d) (neg.f64 a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b c) d) (*.f64 b c)) (*.f64 (*.f64 b c) (neg.f64 a))) d)) (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) a))) (-.f64 (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (-.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)))))
(/.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d))))
(/.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) (fma.f64 a a (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b c) d) (*.f64 b c)) (*.f64 (*.f64 b c) (neg.f64 a))) d)))
(/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)) (fma.f64 b (/.f64 c d) a))
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 a a (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b c) d) (*.f64 b c)) (*.f64 (*.f64 b c) (neg.f64 a))) d))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a))) (neg.f64 (fma.f64 b (/.f64 c d) a)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a a))) (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) a))))
(/.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d))) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 d c) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) b)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (/.f64 d c)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 d b) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) c)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (/.f64 d b)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) d (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (*.f64 b c))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) d))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 d (*.f64 b c)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (/.f64 d (*.f64 b c))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (neg.f64 d) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (neg.f64 (*.f64 b c)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (neg.f64 d)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (neg.f64 d) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (*.f64 b (neg.f64 c)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (neg.f64 d)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 d c) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (*.f64 b #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (/.f64 d c)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (/.f64 d b) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (*.f64 c #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (/.f64 d b)))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1 binary64)) (neg.f64 (/.f64 c a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)) (/.f64 c a))
(+.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (*.f64 a d))))
(+.f64 (*.f64 b (/.f64 c (*.f64 a d))) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (*.f64 a d))))) (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (*.f64 a d))))))
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)) b) #s(literal -1 binary64))
(fma.f64 c (/.f64 b (*.f64 a d)) #s(literal -1 binary64))
(fma.f64 (*.f64 b c) (/.f64 #s(literal 1 binary64) (*.f64 a d)) #s(literal -1 binary64))
(fma.f64 (/.f64 c d) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 (/.f64 c (*.f64 a d)) b #s(literal -1 binary64))
(fma.f64 (/.f64 b d) (/.f64 c a) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 b (/.f64 c (*.f64 a d))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (/.f64 c a)) (/.f64 b (neg.f64 d)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 b (/.f64 a c)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)) (/.f64 b (/.f64 #s(literal 1 binary64) c)) #s(literal -1 binary64))
(fma.f64 (/.f64 c a) (/.f64 b d) #s(literal -1 binary64))
(fma.f64 (/.f64 b a) (/.f64 c d) #s(literal -1 binary64))
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b (*.f64 a d)) #s(literal -1 binary64))
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 (/.f64 b d) a) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (*.f64 b c) d) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a d))) (/.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 c))) #s(literal -1 binary64))
(fma.f64 (/.f64 b (neg.f64 d)) (neg.f64 (/.f64 c a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 c) d) (/.f64 b (neg.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (/.f64 b d) (neg.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (*.f64 a d)) (/.f64 c #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 c) (*.f64 a d)) #s(literal -1 binary64))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (/.f64 c d) (neg.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 (neg.f64 c) d) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 b c) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 b c) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a d)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 c d) #s(literal -1 binary64)) (/.f64 b (neg.f64 a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 c d) #s(literal 1 binary64)) (/.f64 b a) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 b d) #s(literal -1 binary64)) (neg.f64 (/.f64 c a)) #s(literal -1 binary64))
(fma.f64 (/.f64 (/.f64 b d) #s(literal 1 binary64)) (/.f64 c a) #s(literal -1 binary64))
(fma.f64 (/.f64 b (neg.f64 (*.f64 a d))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 c))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 c))) (/.f64 b (neg.f64 (*.f64 a d))) #s(literal -1 binary64))
(fma.f64 (/.f64 b (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal 1 binary64) (*.f64 a d)) #s(literal -1 binary64))
(fma.f64 (/.f64 b (/.f64 a c)) (/.f64 #s(literal 1 binary64) d) #s(literal -1 binary64))
(fma.f64 (/.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 c))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 a d))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b (/.f64 c (*.f64 a d))) (*.f64 b c)) (*.f64 (*.f64 b c) #s(literal -1 binary64))) (*.f64 a d))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (*.f64 a d)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 b c) #s(literal -1 binary64)) (*.f64 a d))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b (/.f64 c (*.f64 a d))) (*.f64 b c)) (*.f64 (*.f64 b c) #s(literal -1 binary64))) (*.f64 a d))))
(/.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal -1 binary64)) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 b c) #s(literal -1 binary64)) (*.f64 a d)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b (/.f64 c (*.f64 a d))) (*.f64 b c)) (*.f64 (*.f64 b c) #s(literal -1 binary64))) (*.f64 a d)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d))))) (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (*.f64 a d)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) (*.f64 (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64)) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 b c) #s(literal -1 binary64)) (*.f64 a d))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (*.f64 a d))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 b c) #s(literal -1 binary64)) (*.f64 a d)))))
(*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))))

eval311.0ms (3.7%)

Memory
-5.8MiB live, 252.2MiB allocated
Compiler

Compiled 24 307 to 1 962 computations (91.9% saved)

prune256.0ms (3%)

Memory
-6.6MiB live, 238.5MiB allocated
Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New1 42661 432
Fresh11112
Picked145
Done044
Total1 428251 453
Accuracy
99.8%
Counts
1 453 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.8%
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
36.2%
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
39.6%
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
51.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (*.f64 c b) d) (/.f64 #s(literal 1 binary64) d) (/.f64 a (neg.f64 d))))
23.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (*.f64 c b) d)) d))
53.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))
35.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))))
21.1%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
19.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
23.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
23.3%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
21.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d))
45.9%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))) d))
19.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a #s(approx (+ (* b (/ c (* a d))) -1) (*.f64 b (/.f64 c (*.f64 a d)))))) d))
41.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
42.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
53.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) (/.f64 #s(literal 1 binary64) d)))
19.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
41.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
41.9%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
19.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal -1 binary64))) a))
20.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
20.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))))
18.3%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d)))))
17.9%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d)))))
Compiler

Compiled 883 to 336 computations (61.9% saved)

regimes67.0ms (0.8%)

Memory
-10.1MiB live, 96.1MiB allocated
Counts
45 → 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 a (neg.f64 d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (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)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 c b) (*.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 a (/.f64 d c))) c))
#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))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b 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 b (/.f64 c d) (neg.f64 a)) (/.f64 #s(literal 1 binary64) d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a #s(approx (+ (* b (/ c (* a d))) -1) (*.f64 b (/.f64 c (*.f64 a d)))))) d))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (*.f64 c b) d) (/.f64 #s(literal 1 binary64) d) (/.f64 a (neg.f64 d))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (*.f64 c b) d)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal -1 binary64))) a))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
Calls

5 calls:

16.0ms
d
13.0ms
a
12.0ms
c
12.0ms
b
11.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
68.6%4a
69.1%5b
84.0%4c
86.2%5d
74.4%3(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes15.0ms (0.2%)

Memory
-6.4MiB live, 32.3MiB allocated
Counts
42 → 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 a (neg.f64 d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (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)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 c b) (*.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 a (/.f64 d c))) c))
#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))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b 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 b (/.f64 c d) (neg.f64 a)) (/.f64 #s(literal 1 binary64) d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a #s(approx (+ (* b (/ c (* a d))) -1) (*.f64 b (/.f64 c (*.f64 a d)))))) d))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (*.f64 c b) d) (/.f64 #s(literal 1 binary64) d) (/.f64 a (neg.f64 d))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) (neg.f64 (fma.f64 d d (*.f64 c c)))))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
Calls

1 calls:

13.0ms
d
Results
AccuracySegmentsBranch
85.8%5d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes46.0ms (0.5%)

Memory
-8.3MiB live, 30.0MiB allocated
Counts
32 → 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 a (neg.f64 d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (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)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 c b) (*.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 a (/.f64 d c))) c))
#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))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b 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 b (/.f64 c d) (neg.f64 a)) (/.f64 #s(literal 1 binary64) d)))
Outputs
#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 c (/.f64 b d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c))
Calls

2 calls:

9.0ms
c
9.0ms
d
Results
AccuracySegmentsBranch
82.4%3c
81.1%3d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (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)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 c b) (*.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 a (/.f64 d c))) c))
#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))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c))
Calls

1 calls:

8.0ms
c
Results
AccuracySegmentsBranch
82.3%3c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (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)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 c b) (*.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 a (/.f64 d c))) c))
#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))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 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 (-.f64 b (*.f64 a (/.f64 d c))) c))
Calls

1 calls:

8.0ms
c
Results
AccuracySegmentsBranch
81.9%3c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes24.0ms (0.3%)

Memory
-18.7MiB live, 23.7MiB 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 a (neg.f64 d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (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)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 c b) (*.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 a (/.f64 d c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))
Calls

2 calls:

14.0ms
d
8.0ms
c
Results
AccuracySegmentsBranch
76.8%3d
73.0%3c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes24.0ms (0.3%)

Memory
3.7MiB live, 42.3MiB allocated
Counts
26 → 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 a (neg.f64 d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (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)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 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 a (neg.f64 d)))
Calls

3 calls:

9.0ms
c
7.0ms
d
7.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
66.4%3c
56.5%4(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
67.8%3d
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes6.0ms (0.1%)

Memory
15.7MiB live, 15.7MiB 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
a
1.0ms
c
1.0ms
b
1.0ms
d
1.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
41.8%1(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
41.8%1b
41.8%1c
41.8%1a
41.8%1d
Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch60.0ms (0.7%)

Memory
-27.8MiB live, 93.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
3.9781365199233544e+111
1.2899028739496398e+115
14.0ms
1.347475245853224e-135
1.660432759196426e-133
14.0ms
-2.2440040500916204e-99
-1.4197588165534634e-104
13.0ms
-1.483969450641866e+111
-9.033851336124975e+109
Samples
36.0ms496×0valid
Compiler

Compiled 1 181 to 653 computations (44.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 12.0ms (54.8% of total)
ival-add: 4.0ms (18.3% of total)
ival-div: 3.0ms (13.7% of total)
ival-sub: 2.0ms (9.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.7899170155146426e+105
8.060995721188579e+105
0.0ms
1.347475245853224e-135
1.660432759196426e-133
1.0ms
-2.2440040500916204e-99
-1.4197588165534634e-104
1.0ms
-1.483969450641866e+111
-9.033851336124975e+109
Samples
6.0ms96×0valid
Compiler

Compiled 1 008 to 598 computations (40.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (53.7% of total)
ival-div: 1.0ms (26.8% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Memory
13.7MiB live, 53.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
26721469849300.543
1223751892347236600.0
17.0ms
-0.00015987202867203168
-7.215459615632989e-15
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: 7.0ms (56% of total)
ival-div: 2.0ms (16% of total)
ival-add: 2.0ms (16% of total)
ival-sub: 1.0ms (8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
26721469849300.543
1223751892347236600.0
1.0ms
-0.00015987202867203168
-7.215459615632989e-15
Compiler

Compiled 562 to 342 computations (39.1% saved)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
26721469849300.543
1223751892347236600.0
1.0ms
-0.00015987202867203168
-7.215459615632989e-15
Compiler

Compiled 562 to 342 computations (39.1% saved)

bsearch35.0ms (0.4%)

Memory
-30.1MiB live, 48.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
8.717897674308573e+157
6.92341952454767e+160
19.0ms
-1.8529941846806248e+51
-1.352342021979271e+30
Samples
21.0ms304×0valid
Compiler

Compiled 497 to 322 computations (35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (53.2% of total)
ival-div: 3.0ms (22.8% of total)
ival-sub: 1.0ms (7.6% of total)
ival-add: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Memory
14.1MiB live, 55.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.2105411526974868e+45
2.555339041494155e+51
16.0ms
-8.199389949149932e+27
-5637889146443.006
Samples
21.0ms304×0valid
Compiler

Compiled 383 to 265 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 9.0ms (66.5% of total)
ival-div: 2.0ms (14.8% 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)

simplify12.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Algorithm
egg-herbie
Rules
20×*-commutative_binary64
18×+-commutative_binary64
18×sub-neg_binary64
14×neg-sub0_binary64
14×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085653
1104653
2126653
3139653
4146653
5149653
6150653
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 d #s(literal -100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -5325890373554249/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 d #s(literal 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))))))
(if (<=.f64 d #s(literal -100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -5325890373554249/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 d #s(literal 2119999999999999940403856921304807524888897107009139530785556148890176334933067120313405010025070217658368 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))))))
(if (<=.f64 c #s(literal -2115620184325601/37778931862957161709568 binary64)) #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 28000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c))))
(if (<=.f64 c #s(literal -2115620184325601/37778931862957161709568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal 28000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c))))
(if (<=.f64 c #s(literal -2115620184325601/37778931862957161709568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal 28000000000000000 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 (-.f64 b (*.f64 a (/.f64 d c))) c))))
(if (<=.f64 d #s(literal -2150000000000000000530696896512 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 88000000000000004632772996976793837798494849641315348115527417465042999761880041567074230553597336071581747720186709417480011493135792831216792411198627774464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))))
(if (<=.f64 d #s(literal -21000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 48000000000000001698952274090624064543489261568 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 a (neg.f64 d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
Outputs
(if (<=.f64 d #s(literal -100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -5325890373554249/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 d #s(literal 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))))))
(if (<=.f64 d #s(literal -100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -5325890373554249/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 d #s(literal 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))))))
(if (<=.f64 d #s(literal -100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -5325890373554249/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 d #s(literal 2119999999999999940403856921304807524888897107009139530785556148890176334933067120313405010025070217658368 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))))))
(if (<=.f64 d #s(literal -100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -5325890373554249/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 d #s(literal 2119999999999999940403856921304807524888897107009139530785556148890176334933067120313405010025070217658368 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (fma.f64 c c (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))))))
(if (<=.f64 c #s(literal -2115620184325601/37778931862957161709568 binary64)) #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 28000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c))))
(if (<=.f64 c #s(literal -2115620184325601/37778931862957161709568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal 28000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c))))
(if (<=.f64 c #s(literal -2115620184325601/37778931862957161709568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal 28000000000000000 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 (-.f64 b (*.f64 a (/.f64 d c))) c))))
(if (<=.f64 d #s(literal -2150000000000000000530696896512 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 88000000000000004632772996976793837798494849641315348115527417465042999761880041567074230553597336071581747720186709417480011493135792831216792411198627774464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d)))))
(if (<=.f64 d #s(literal -21000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 48000000000000001698952274090624064543489261568 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 a (neg.f64 d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))

soundness650.0ms (7.6%)

Memory
-12.2MiB live, 537.7MiB allocated
Rules
7 930×lower-fma.f64
7 930×lower-fma.f32
5 586×lower-fma.f64
5 586×lower-fma.f32
5 346×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
01835
16535
250535
3637635
0817833
039243
059239
1232239
21464239
08191239
01911511
16231461
218631441
354841432
084871356
032197
050199
1223185
21711185
08216185
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 732 to 295 computations (59.7% saved)

preprocess73.0ms (0.9%)

Memory
-5.8MiB live, 116.0MiB allocated
Compiler

Compiled 774 to 206 computations (73.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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