Complex division, real part

Time bar (total: 6.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze25.0ms (0.4%)

Memory
-17.4MiB live, 61.7MiB 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)

sample849.0ms (13.2%)

Memory
17.7MiB live, 1 064.1MiB allocated
Samples
554.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-mult: 224.0ms (62.4% of total)
ival-add: 76.0ms (21.2% of total)
ival-div: 50.0ms (13.9% of total)
ival-true: 6.0ms (1.7% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain119.0ms (1.9%)

Memory
21.1MiB live, 186.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
931(4.7128470578531476e+60 -2.449011012390405e-152 -2.276648680627188e-296 -4.199310313955337e+171)1(3.546124967993896e-18 5.013122486704736e+55 2.3048112396571014e-198 -2.638445881083534e-161)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
20-0-(+.f64 (*.f64 a c) (*.f64 b d))
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
00-0-d
00-0-(*.f64 d d)
00-0-(*.f64 c c)
00-0-(*.f64 a c)
00-0-c
00-0-b
00-0-(*.f64 b d)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/o470
(+.f64 (*.f64 a c) (*.f64 b d))overflow57
(*.f64 a c)overflow32
(*.f64 b d)overflow29
(+.f64 (*.f64 c c) (*.f64 d d))overflow120
(*.f64 c c)overflow63
(*.f64 d d)overflow74
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o300
(+.f64 (*.f64 c c) (*.f64 d d))overflow120
(*.f64 c c)overflow63
(*.f64 d d)overflow74
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n100
(+.f64 (*.f64 a c) (*.f64 b d))overflow57
(*.f64 a c)overflow32
(*.f64 b d)overflow29
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u50
(+.f64 (*.f64 c c) (*.f64 d d))underflow11
(*.f64 c c)underflow54
(*.f64 d d)underflow58
+.f64(+.f64 (*.f64 a c) (*.f64 b d))nan-rescue20
(*.f64 a c)overflow32
(*.f64 b d)overflow29
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u10
(+.f64 (*.f64 a c) (*.f64 b d))underflow1
(*.f64 a c)underflow29
(*.f64 b d)underflow29
(+.f64 (*.f64 c c) (*.f64 d d))underflow11
(*.f64 c c)underflow54
(*.f64 d d)underflow58
Confusion
Predicted +Predicted -
+921
-1162
Precision
0.989247311827957
Recall
0.989247311827957
Confusion?
Predicted +Predicted MaybePredicted -
+9201
-10162
Precision?
0.989247311827957
Recall?
0.989247311827957
Freqs
test
numberfreq
0163
191
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms512×0valid
Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 13.0ms (54.6% of total)
ival-div: 6.0ms (25.2% of total)
ival-add: 4.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess362.0ms (5.6%)

Memory
-13.5MiB live, 23.9MiB allocated
Algorithm
egg-herbie
Rules
2 210×times-frac
1 210×div-sub
1 068×distribute-rgt-in
1 028×distribute-lft-in
988×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060218
1132210
2209210
3377210
4914210
52299210
63076210
73886210
84759210
95156210
105284210
115444210
125444210
135480210
145496210
155496210
165856210
176830210
186982210
196994210
206998210
217006210
227014210
237014210
247122210
257170210
267170210
01115
01815
12215
02213
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.0%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify3.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff128
(+.f64 (*.f64 c c) (*.f64 d d))
cost-diff128
(+.f64 (*.f64 a c) (*.f64 b d))
Rules
12×lower-fma.f64
12×lower-fma.f32
12×lower-*.f32
lift-*.f64
lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01845
12245
02241
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
Outputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 d b (*.f64 c a))
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 b d)
(*.f64 d b)
b
d
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(*.f64 d d)

localize25.0ms (0.4%)

Memory
21.6MiB live, 21.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a c)
accuracy0.00390625
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy0.45702918583020585
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy22.14268646670914
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
18.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (60.6% of total)
ival-add: 2.0ms (20.2% of total)
ival-div: 1.0ms (10.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-20.0MiB live, 18.9MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())
Outputs
#s(alt (* b d) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (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 (/ b d) (taylor 0 c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (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 (/ a c) (taylor inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) (taylor inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (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 (/ a c) (taylor -inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -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 (/ b d) (taylor -inf d) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
5.0ms
c
@-inf
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))
2.0ms
d
@-inf
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))
1.0ms
c
@inf
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))
1.0ms
b
@inf
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))
1.0ms
c
@0
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c))

simplify125.0ms (1.9%)

Memory
-3.7MiB live, 96.0MiB allocated
Algorithm
egg-herbie
Rules
7 644×lower-fma.f64
7 644×lower-fma.f32
4 318×lower-*.f64
4 318×lower-*.f32
1 834×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861356
16181346
218901322
357601320
083151190
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(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))))
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
Outputs
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* c (+ a (/ (* b d) c)))
(fma.f64 c a (*.f64 d b))
(* c (+ a (/ (* b d) c)))
(fma.f64 c a (*.f64 d b))
(* c (+ a (/ (* b d) c)))
(fma.f64 c a (*.f64 d b))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) b) c)) c)) c)) c)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 c a (*.f64 d b))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) b) c)) c)) c)) c)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* b d)
(*.f64 d b)
(* b (+ d (/ (* a c) b)))
(fma.f64 c a (*.f64 d b))
(* b (+ d (/ (* a c) b)))
(fma.f64 c a (*.f64 d b))
(* b (+ d (/ (* a c) b)))
(fma.f64 c a (*.f64 d b))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* b d)
(*.f64 d b)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 c a (*.f64 d b))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a (+ c (/ (* b d) a)))
(fma.f64 c a (*.f64 d b))
(* a (+ c (/ (* b d) a)))
(fma.f64 c a (*.f64 d b))
(* a (+ c (/ (* b d) a)))
(fma.f64 c a (*.f64 d b))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 c a (*.f64 d b))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (/.f64 d (*.f64 (*.f64 c c) c)) (neg.f64 a) (/.f64 b (*.f64 c c))) d (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (*.f64 (*.f64 c c) c)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c))
(* b d)
(*.f64 d b)
(* d (+ b (/ (* a c) d)))
(fma.f64 c a (*.f64 d b))
(* d (+ b (/ (* a c) d)))
(fma.f64 c a (*.f64 d b))
(* d (+ b (/ (* a c) d)))
(fma.f64 c a (*.f64 d b))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) d)) d)) d)) d)
(* b d)
(*.f64 d b)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 c a (*.f64 d b))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 c a (*.f64 d b))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) d)) d)) d)) d)

rewrite225.0ms (3.5%)

Memory
2.6MiB live, 120.7MiB allocated
Rules
5 970×lower-fma.f64
5 970×lower-fma.f32
5 332×lower-*.f32
5 324×lower-*.f64
2 426×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
15832
243532
3507332
0876028
Stop Event
iter limit
node limit
iter limit
Counts
4 → 339
Calls
Call 1
Inputs
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a c)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (-.f64 (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)))) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 (neg.f64 d) b) (-.f64 (*.f64 d b) (*.f64 c a)))))) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 (neg.f64 d) b) (-.f64 (*.f64 d b) (*.f64 c a)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a))) (*.f64 c a) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 c c) a)) a (*.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (-.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (*.f64 (*.f64 (*.f64 a a) c) c)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a)))) (fma.f64 d b (*.f64 c a)))
(*.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 d b) (*.f64 c a))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))) (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))))
(*.f64 (*.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (*.f64 c a))))
(*.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(*.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a)))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))) (*.f64 (fma.f64 d b (*.f64 c a)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))))
(*.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(*.f64 (fma.f64 d b (*.f64 c a)) (/.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(*.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) #s(literal -1 binary64))
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 (*.f64 d d) b) b)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 (*.f64 d d) b) b)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (-.f64 (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 c c) a)) a (*.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 (*.f64 d d) b) b)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (-.f64 (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))) (-.f64 (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a))) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))) (fma.f64 (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)) (-.f64 (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)) (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a))) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))))) (fma.f64 (*.f64 (*.f64 a a) c) (/.f64 c (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a)))) (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (fma.f64 (neg.f64 d) b (*.f64 c a)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))))) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))
(/.f64 (*.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a))) #s(literal 1 binary64)) (-.f64 (*.f64 d b) (*.f64 c a)))
(/.f64 (*.f64 (*.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 (*.f64 d d) b) b)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 (*.f64 d d) b) b)) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (-.f64 (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 c c) a)) a (*.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 (*.f64 d d) b) b)))) (fma.f64 (neg.f64 d) b (*.f64 c a))))
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(/.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (/.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (fma.f64 d d (*.f64 c c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))) (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) (*.f64 c c) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) (*.f64 (neg.f64 d) d)))
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (*.f64 c c) c) c)))
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d b)))
(fma.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))))))
(fma.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))))))
(fma.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)))))
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)))))
(+.f64 (*.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))))) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))))) (*.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))))))
(+.f64 (*.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(+.f64 (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) (*.f64 (neg.f64 d) d)))
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (*.f64 c c) c) c)))
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d b)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d b)))
(*.f64 (exp.f64 (log.f64 a)) c)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 c a)
(*.f64 a c)
(pow.f64 (*.f64 c a) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 c a)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 c a)))

eval99.0ms (1.5%)

Memory
1.0MiB live, 73.5MiB allocated
Compiler

Compiled 17 374 to 1 030 computations (94.1% saved)

prune152.0ms (2.4%)

Memory
-17.1MiB live, 107.1MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New47013483
Fresh000
Picked101
Done000
Total47113484
Accuracy
100.0%
Counts
484 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.7%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
44.4%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
64.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
50.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
48.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
53.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
53.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
46.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) d))
47.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c))
44.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
42.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
42.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
43.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c))
Compiler

Compiled 394 to 218 computations (44.7% saved)

simplify16.0ms (0.3%)

Memory
19.0MiB live, 19.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 c c)
cost-diff0
(/.f64 d (*.f64 c c))
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
cost-diff320
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
cost-diff0
(*.f64 d b)
cost-diff0
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
cost-diff0
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff128
(+.f64 (*.f64 c c) (*.f64 d d))
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(/.f64 b (fma.f64 c c (*.f64 d d)))
cost-diff0
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
cost-diff0
(/.f64 a c)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
cost-diff0
(*.f64 c c)
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
Rules
302×lower-*.f32
292×lower-*.f64
160×times-frac
138×lower-/.f32
136×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032226
049221
168221
292219
3130219
4181219
5224219
6323219
7407217
8443217
9476217
10514217
11540217
0540215
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
#s(literal 1 binary64)
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
c
(fma.f64 d b (*.f64 c a))
b
(*.f64 c a)
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
a
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)
(/.f64 b (fma.f64 c c (*.f64 d d)))
b
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
d
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
d
b
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
c
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(/.f64 d (*.f64 c c))
d
(*.f64 c c)
c
b
(/.f64 a c)
a
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
(/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 c c (*.f64 d d)))
#s(literal 1 binary64)
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 b d (*.f64 a c)))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
d
(*.f64 c c)
c
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 a c))
b
(*.f64 c a)
(*.f64 a c)
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
a
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)
(/.f64 b (fma.f64 c c (*.f64 d d)))
b
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
d
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
#s(approx (+ (* a c) (* b d)) (*.f64 b d))
(*.f64 d b)
(*.f64 b d)
d
b
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(*.f64 c c)
c
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(/.f64 d (*.f64 c c))
d
(*.f64 c c)
c
b
(/.f64 a c)
a

localize70.0ms (1.1%)

Memory
-21.1MiB live, 95.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 c c)
accuracy6.650461059881644
(/.f64 d (*.f64 c c))
accuracy7.264039207695281
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
accuracy29.300965584899156
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
accuracy0
(*.f64 c c)
accuracy0.00390625
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy22.14268646670914
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
accuracy30.488985844375904
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy0.00390625
(fma.f64 c c (*.f64 d d))
accuracy6.6092275673833605
(/.f64 b (fma.f64 c c (*.f64 d d)))
accuracy11.658916545657169
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)
accuracy25.11443636967528
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
accuracy0
(/.f64 a c)
accuracy36.807869436462525
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy0
(*.f64 c a)
accuracy0.5039007452111204
(fma.f64 d b (*.f64 c a))
accuracy0.858261029861748
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
accuracy22.203652425190594
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))
Samples
50.0ms256×0valid
Compiler

Compiled 209 to 26 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 12.0ms (46% of total)
ival-div: 9.0ms (34.5% of total)
ival-add: 5.0ms (19.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series97.0ms (1.5%)

Memory
-3.0MiB live, 74.4MiB allocated
Counts
19 → 684
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ())
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())
#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) #<representation binary64>) () ())
#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())
#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ())
#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())
#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())
#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ())
Outputs
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ())) ())
#s(alt (/ d b) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) #<representation binary64>) () ())) ())
#s(alt (/ b (pow d 2)) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d 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 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 (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (/ d (pow c 2)) (taylor 0 c) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ d (pow c 2)) (taylor 0 c) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ d (pow c 2)) (taylor 0 c) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ d (pow c 2)) (taylor 0 c) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor 0 c) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
24.0ms
a
@inf
((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (+ (* d b) (* c a)) (* c a))
4.0ms
a
@0
((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (+ (* d b) (* c a)) (* c a))
3.0ms
b
@-inf
((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (+ (* d b) (* c a)) (* c a))
3.0ms
b
@inf
((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (+ (* d b) (* c a)) (* c a))
3.0ms
d
@-inf
((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (+ (* d b) (* c a)) (* c a))

simplify233.0ms (3.6%)

Memory
34.3MiB live, 153.7MiB allocated
Algorithm
egg-herbie
Rules
7 156×lower-*.f64
7 156×lower-*.f32
6 322×lower-fma.f64
6 322×lower-fma.f32
3 220×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06529784
121929539
081338852
Stop Event
iter limit
node limit
Counts
684 → 684
Calls
Call 1
Inputs
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (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))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a c)
(* a c)
(* a c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ c a)
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(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))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* a c)
(* a c)
(* a c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ c a)
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(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))))
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* a c)
(* a c)
(* a c)
(* a c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (+ (pow c 2) (pow d 2)) (* a c))
(+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2)))) (+ (/ c a) (/ (pow d 2) (* a c))))
(+ (* b (- (/ (* b (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 3))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))
(+ (* b (- (* b (- (* -1 (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
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(+ (* a c) (* b d))
(+ (* a c) (* b d))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ d b)
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ b (pow d 2))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* b d)
(* b d)
(* b d)
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/ b (pow d 2))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* b d)
(* b d)
(* b d)
(* b d)
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ d b)
(/.f64 d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) (/.f64 d b))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(fma.f64 (fma.f64 (fma.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) b) d)) (/.f64 #s(literal 1 binary64) (*.f64 d b))) c (/.f64 (neg.f64 a) (*.f64 b b))) c (/.f64 d b))
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(fma.f64 (fma.f64 (fma.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) b) d)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 d b)) (/.f64 (*.f64 (fma.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) b) d)) (/.f64 #s(literal 1 binary64) (*.f64 d b))) (*.f64 c a)) (*.f64 d b)))) c (/.f64 (neg.f64 a) (*.f64 b b))) c (/.f64 d b))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (*.f64 (*.f64 d d) d))) (/.f64 b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (/.f64 b (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (pow.f64 d #s(literal 7 binary64)))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (*.f64 c c) (/.f64 (neg.f64 b) (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 b d))
(/ b (pow d 2))
(/.f64 b (*.f64 d d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(-.f64 (/.f64 b (*.f64 d d)) (*.f64 (*.f64 c c) (/.f64 b (*.f64 (*.f64 (*.f64 d d) d) d))))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (*.f64 (*.f64 (*.f64 d d) d) d))) (*.f64 c c) (/.f64 b (*.f64 d d)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (pow.f64 d #s(literal 8 binary64)))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c) (/.f64 (neg.f64 b) (*.f64 (*.f64 (*.f64 d d) d) d))) (*.f64 c c) (/.f64 b (*.f64 d d)))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(/ (* b d) (pow c 2))
(*.f64 (/.f64 b (*.f64 c c)) d)
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (fma.f64 (/.f64 d c) b (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d (*.f64 c c))) a)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d (*.f64 c c))) (fma.f64 (neg.f64 b) (*.f64 (*.f64 d d) (/.f64 d (*.f64 (*.f64 c c) c))) (fma.f64 (/.f64 d c) b a))) c)
(/ c a)
(/.f64 c a)
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(*.f64 (fma.f64 (neg.f64 b) (/.f64 d (*.f64 (*.f64 a a) c)) (/.f64 #s(literal 1 binary64) a)) c)
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(*.f64 (-.f64 (fma.f64 d (/.f64 d (*.f64 (*.f64 c c) a)) (/.f64 #s(literal 1 binary64) a)) (fma.f64 (*.f64 (neg.f64 b) b) (/.f64 (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) c)) (*.f64 (/.f64 d (*.f64 (*.f64 a a) c)) b))) c)
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(*.f64 (fma.f64 (neg.f64 b) (*.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 (*.f64 (*.f64 d b) b) d) (*.f64 (*.f64 a a) a))) (/.f64 d (*.f64 (*.f64 (*.f64 c c) a) c))) (-.f64 (fma.f64 d (/.f64 d (*.f64 (*.f64 c c) a)) (/.f64 #s(literal 1 binary64) a)) (fma.f64 (*.f64 (neg.f64 b) b) (/.f64 (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) c)) (*.f64 (/.f64 d (*.f64 (*.f64 a a) c)) b)))) c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (fma.f64 (/.f64 d c) b (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d (*.f64 c c))) a)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d (*.f64 c c))) (fma.f64 (neg.f64 b) (*.f64 (*.f64 d d) (/.f64 d (*.f64 (*.f64 c c) c))) (fma.f64 (/.f64 d c) b a))) c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (fma.f64 (/.f64 d c) b (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d (*.f64 c c))) a)) c)
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(/.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (*.f64 d d))) b) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (fma.f64 b (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) (*.f64 c (/.f64 c (*.f64 d d)))) b) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) b) (fma.f64 (neg.f64 b) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) (*.f64 (*.f64 c c) (/.f64 b (*.f64 d d))))) d)
(/ b (pow d 2))
(/.f64 b (*.f64 d d))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (*.f64 d d))) b) (*.f64 d d))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) (*.f64 c (/.f64 c (*.f64 d d)))) b) (*.f64 d d))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) b) (fma.f64 (neg.f64 b) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) (*.f64 (*.f64 c c) (/.f64 b (*.f64 d d))))) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (*.f64 d d))) b)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (*.f64 d d))) (fma.f64 (neg.f64 a) (*.f64 (*.f64 c c) (/.f64 c (*.f64 (*.f64 d d) d))) (fma.f64 (/.f64 c d) a b))) d)
(* b d)
(*.f64 d b)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(/ (* b d) (pow c 2))
(*.f64 (/.f64 b (*.f64 c c)) d)
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))) d)
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))) d)
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))) d)
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (*.f64 d d))) b)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (*.f64 d d))) (fma.f64 (neg.f64 a) (*.f64 (*.f64 c c) (/.f64 c (*.f64 (*.f64 d d) d))) (fma.f64 (/.f64 c d) a b))) d)
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(* b d)
(*.f64 d b)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (*.f64 (*.f64 c c) a) c) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(/ d b)
(/.f64 d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d b) b)) a (/.f64 #s(literal -1 binary64) b)) (neg.f64 d))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(*.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 c (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (*.f64 (*.f64 b b) b))))) (*.f64 d d)) (*.f64 (/.f64 c (*.f64 (*.f64 d b) b)) a)) (/.f64 #s(literal 1 binary64) b))) (neg.f64 d))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(*.f64 (neg.f64 (+.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 c (/.f64 c (*.f64 (*.f64 b b) b))) (neg.f64 (fma.f64 c (/.f64 c b) (/.f64 (*.f64 (neg.f64 (fma.f64 c (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (*.f64 (*.f64 b b) b)))) (*.f64 c a)) (*.f64 d b)))))) (*.f64 d d)) (*.f64 (/.f64 c (*.f64 (*.f64 d b) b)) a)) (/.f64 #s(literal 1 binary64) b))) (neg.f64 d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (*.f64 (*.f64 c c) a) c) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (*.f64 (*.f64 c c) a) c) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/.f64 (fma.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 b (*.f64 (*.f64 (*.f64 d d) d) d)) b))) (neg.f64 d))
(/ b (pow d 2))
(/.f64 b (*.f64 d d))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (*.f64 d d))) b) (*.f64 d d))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) (*.f64 c (/.f64 c (*.f64 d d)))) b) (*.f64 d d))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) b) (fma.f64 (neg.f64 b) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) (*.f64 (*.f64 c c) (/.f64 b (*.f64 d d))))) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (*.f64 (*.f64 c c) a) c) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(* b d)
(*.f64 d b)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(/ (* b d) (pow c 2))
(*.f64 (/.f64 b (*.f64 c c)) d)
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 a (*.f64 c d))) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 a (*.f64 c d))) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 a (*.f64 c d))) (neg.f64 d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (*.f64 (*.f64 c c) a) c) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(* b d)
(*.f64 d b)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))

rewrite228.0ms (3.5%)

Memory
-11.7MiB live, 217.1MiB allocated
Rules
5 478×lower-/.f32
5 466×lower-/.f64
4 420×lower-*.f32
4 410×lower-*.f64
3 994×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032194
049187
1188187
21327187
08417187
Stop Event
iter limit
node limit
iter limit
Counts
19 → 953
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)
(/.f64 b (fma.f64 c c (*.f64 d d)))
(fma.f64 c c (*.f64 d d))
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(/.f64 d (*.f64 c c))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 a c (*.f64 (neg.f64 b) d))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 b d (*.f64 (neg.f64 a) c))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d))))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d))))
(*.f64 (neg.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)))))
(*.f64 (neg.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)))))
(*.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 (neg.f64 b) d))))
(*.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 (neg.f64 a) c))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c))))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d))))
(*.f64 (fma.f64 b d (*.f64 a c)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c))) #s(literal -1 binary64))
(pow.f64 (fma.f64 b d (*.f64 a c)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 a c (*.f64 (neg.f64 b) d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 a c (*.f64 (neg.f64 b) d))) (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 a c (*.f64 (neg.f64 b) d))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 a c (*.f64 (neg.f64 b) d)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 b d (*.f64 (neg.f64 a) c))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 b d (*.f64 (neg.f64 a) c))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 b d (*.f64 (neg.f64 a) c)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d))))) (neg.f64 (neg.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))))) (neg.f64 (neg.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) (*.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d))) (*.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) (fma.f64 a c (*.f64 (neg.f64 b) d))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) (*.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (*.f64 (*.f64 (*.f64 a c) a) c))) (*.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (fma.f64 b d (*.f64 (neg.f64 a) c))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d)))) (neg.f64 (fma.f64 a c (*.f64 (neg.f64 b) d))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c)))) (neg.f64 (fma.f64 b d (*.f64 (neg.f64 a) c))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d)))) (neg.f64 (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d)))) (neg.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d))))
(/.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d))) (fma.f64 a c (*.f64 (neg.f64 b) d)))
(/.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))) (fma.f64 b d (*.f64 (neg.f64 a) c)))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))))
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)))
(/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c)))))
(/.f64 (fma.f64 b d (*.f64 a c)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c))))
(fma.f64 a c (*.f64 b d))
(fma.f64 b d (*.f64 a c))
(fma.f64 c a (*.f64 b d))
(fma.f64 d b (*.f64 a c))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 a c (*.f64 (neg.f64 b) d))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 b d (*.f64 (neg.f64 a) c))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 a c (*.f64 (neg.f64 b) d))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 b d (*.f64 (neg.f64 a) c))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c)))) #s(literal -1 binary64)))
(+.f64 (*.f64 b d) (*.f64 a c))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
(*.f64 c a)

eval310.0ms (4.8%)

Memory
20.0MiB live, 377.5MiB allocated
Compiler

Compiled 44 341 to 3 048 computations (93.1% saved)

prune265.0ms (4.1%)

Memory
11.3MiB live, 424.8MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1 710141 724
Fresh268
Picked415
Done000
Total1 716211 737
Accuracy
100.0%
Counts
1 737 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.7%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
31.9%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
22.6%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
44.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
43.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 c a))))
53.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
48.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
53.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 b (/.f64 c d)) (/.f64 a c)))
53.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
54.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
53.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
53.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
44.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
42.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
45.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
45.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
30.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d))
22.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d))
43.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
37.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))))
Compiler

Compiled 568 to 315 computations (44.5% saved)

simplify6.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 d c)
cost-diff0
(fma.f64 (/.f64 d c) b a)
cost-diff0
(/.f64 (fma.f64 (/.f64 d c) b a) c)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(/.f64 c (fma.f64 c c (*.f64 d d)))
cost-diff0
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
cost-diff0
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
cost-diff0
(*.f64 d b)
cost-diff0
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
cost-diff0
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff0
(/.f64 b d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
cost-diff0
(/.f64 c d)
cost-diff0
(fma.f64 (/.f64 c d) a b)
cost-diff0
(/.f64 (fma.f64 (/.f64 c d) a b) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
Rules
36×lower-*.f32
28×lower-*.f64
28×lower-/.f32
28×lower-fma.f32
22×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031218
047218
162218
268218
371218
071212
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
c
d
a
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
d
b
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(/.f64 c (fma.f64 c c (*.f64 d d)))
c
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
d
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
d
c
b
a
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
c
d
a
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
d
b
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)
(/.f64 c (fma.f64 c c (*.f64 d d)))
(/.f64 c (fma.f64 d d (*.f64 c c)))
c
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 d d)
d
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
d
c
b
a

localize72.0ms (1.1%)

Memory
-21.8MiB live, 93.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 d c)
accuracy0.2905978172670203
(/.f64 (fma.f64 (/.f64 d c) b a) c)
accuracy4.776660531330156
(fma.f64 (/.f64 d c) b a)
accuracy29.300965584899156
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
accuracy0.00390625
(fma.f64 c c (*.f64 d d))
accuracy3.0109490799341216
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
accuracy17.10047859453419
(/.f64 c (fma.f64 c c (*.f64 d d)))
accuracy24.460680098100482
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
accuracy0
(*.f64 c c)
accuracy22.14268646670914
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy26.680724661846554
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy30.488985844375904
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy0
(/.f64 b d)
accuracy35.49692706502843
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy0
(/.f64 c d)
accuracy0.7349190590101891
(/.f64 (fma.f64 (/.f64 c d) a b) d)
accuracy3.332316866394347
(fma.f64 (/.f64 c d) a b)
accuracy28.58164034960603
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
Samples
57.0ms256×0valid
Compiler

Compiled 184 to 25 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 12.0ms (43.9% of total)
ival-div: 11.0ms (40.2% of total)
ival-add: 4.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series75.0ms (1.2%)

Memory
-39.5MiB live, 79.1MiB allocated
Counts
19 → 696
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())
#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())
#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ())
#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())
#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())
Outputs
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ c (pow d 2)) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d 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 (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf d) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor -inf d) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor -inf d) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor -inf d) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ c d) (taylor -inf d) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.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 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (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 (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) c) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor -inf d) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor -inf d) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor -inf d) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
#s(alt (/ d c) (taylor -inf d) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
8.0ms
a
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* c c))
4.0ms
d
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* c c))
3.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* c c))
3.0ms
d
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* c c))
2.0ms
c
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* c c))

simplify219.0ms (3.4%)

Memory
29.3MiB live, 223.2MiB allocated
Algorithm
egg-herbie
Rules
8 736×lower-fma.f64
8 736×lower-fma.f32
5 608×lower-*.f64
5 608×lower-*.f32
2 478×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04518200
114688090
244967938
081367354
Stop Event
iter limit
node limit
Counts
696 → 684
Calls
Call 1
Inputs
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
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b
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a
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b
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b
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(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (* a c) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b d)
(* b d)
(* b d)
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ a c)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))
(/ 1 c)
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* b d)
(* b d)
(* b d)
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (* a c) (pow d 2))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/ c (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) c)
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* b d)
(* b d)
(* b d)
(* b d)
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ (* a c) (pow d 2))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/ c (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ (* b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ d c)
(/ d c)
(/ d c)
(/ d c)
Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
b
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(+ (* a c) (* b d))
(fma.f64 c a (*.f64 d b))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ (* a c) (pow d 2))
(*.f64 (/.f64 c (*.f64 d d)) a)
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(*.f64 (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 d d) (*.f64 d d)))) c)
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 a (*.f64 d d))) c)
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 a (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 a (*.f64 d d))) c)
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(fma.f64 (neg.f64 c) (/.f64 (*.f64 c c) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 c (*.f64 d d)))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(*.f64 (fma.f64 (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 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d))) c)
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
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(*.f64 (/.f64 c (*.f64 d d)) a)
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/.f64 (*.f64 a (fma.f64 (neg.f64 c) (*.f64 c (/.f64 c (*.f64 d d))) c)) (*.f64 d d))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (*.f64 a (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 (neg.f64 c) (*.f64 c (/.f64 c (*.f64 d d))) c))) (*.f64 d d))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 a (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 a (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d)))))) (*.f64 d d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 (neg.f64 c) (*.f64 c (/.f64 c (*.f64 d d))) c) (*.f64 d d))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 (neg.f64 c) (*.f64 c (/.f64 c (*.f64 d d))) c)) (*.f64 d d))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (*.f64 c (*.f64 c (/.f64 c (*.f64 d d)))) (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) d)) (neg.f64 d))) d) b) d)
(/ (* b d) (pow c 2))
(*.f64 (/.f64 b (*.f64 c c)) d)
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))) d)
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))) d)
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))) d)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)

rewrite296.0ms (4.6%)

Memory
6.5MiB live, 162.0MiB allocated
Rules
10 096×lower-fma.f32
10 090×lower-fma.f64
6 208×lower-*.f32
6 200×lower-*.f64
3 330×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031199
047199
1158199
21063199
08374193
Stop Event
iter limit
node limit
iter limit
Counts
19 → 562
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(/.f64 c (fma.f64 c c (*.f64 d d)))
(fma.f64 c c (*.f64 d d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
(*.f64 c c)
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 c) d) a b)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 c d) a b))) (/.f64 #s(literal -1 binary64) d))
(*.f64 (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) d) (/.f64 (fma.f64 (/.f64 c d) a b) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))))
(*.f64 (pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 c) d) a b)))
(*.f64 (pow.f64 (/.f64 d (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) d) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 c) d) a b)))
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) d) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 c) d) a b)) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d)))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 (/.f64 c d) a b))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) d)))
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (/.f64 #s(literal -1 binary64) d))
(*.f64 (/.f64 (fma.f64 (/.f64 c d) a b) d) (/.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (fma.f64 (/.f64 c d) a (neg.f64 b))))
(*.f64 (fma.f64 (/.f64 c d) a b) (/.f64 #s(literal 1 binary64) d))
(pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) d)) (fma.f64 (/.f64 (neg.f64 c) d) a b))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) d)) (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))))
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) d) (fma.f64 (/.f64 c d) a (neg.f64 b)))
(/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) d) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))))
(/.f64 (*.f64 (fma.f64 (/.f64 c d) a b) (fma.f64 (/.f64 (neg.f64 c) d) a b)) (neg.f64 (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d)))
(/.f64 (*.f64 (fma.f64 (/.f64 c d) a b) (fma.f64 (/.f64 (neg.f64 c) d) a b)) (neg.f64 (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) d)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b))) (neg.f64 (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) (fma.f64 (/.f64 c d) a b)))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d))
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 c d) a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) d)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) d)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) d) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b))))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b)))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (/.f64 #s(literal -1 binary64) d) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a)))
(fma.f64 (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) d) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a) (/.f64 b d))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a)))
(fma.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d) (/.f64 b d))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d)))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))) (/.f64 (*.f64 b b) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (fma.f64 (/.f64 c d) a (neg.f64 b))) d) (/.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) d))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d))
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(fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal -1 binary64) c) b) a)
(fma.f64 (/.f64 d c) b (neg.f64 (neg.f64 a)))
(fma.f64 (/.f64 d c) b a)
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) c) (neg.f64 (neg.f64 a)))
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) c) a)
(fma.f64 d (/.f64 b c) (neg.f64 (neg.f64 a)))
(fma.f64 d (/.f64 b c) a)
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) b) (neg.f64 (neg.f64 a)))
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) b) a)
(fma.f64 b (/.f64 d c) (neg.f64 (neg.f64 a)))
(fma.f64 b (/.f64 d c) a)
(fma.f64 a #s(literal 1 binary64) (*.f64 (/.f64 d c) b))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 (/.f64 d c) b))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (*.f64 c c)) (-.f64 a (*.f64 (/.f64 d c) b))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (*.f64 c c)) (-.f64 (*.f64 (/.f64 d c) b) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 d c) b) a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 d c) b a)))
(+.f64 (neg.f64 (neg.f64 a)) (*.f64 (/.f64 d c) b))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (*.f64 c c)) (-.f64 (*.f64 (/.f64 d c) b) a)) (neg.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 d c) b) a))))
(+.f64 (*.f64 (/.f64 d c) b) (neg.f64 (neg.f64 a)))
(+.f64 (*.f64 (/.f64 d c) b) a)
(+.f64 a (*.f64 (/.f64 d c) b))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) d)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 d)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 #s(literal -1 binary64) c) (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 d))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) c))
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) c) d)
(*.f64 #s(literal 1 binary64) (/.f64 d c))
(*.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 d c) #s(literal 1 binary64))
(*.f64 d (/.f64 #s(literal 1 binary64) c))
(pow.f64 (/.f64 d c) #s(literal 1 binary64))
(pow.f64 (/.f64 c d) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) d))
(/.f64 (/.f64 (neg.f64 d) c) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) d))
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal 1 binary64) (/.f64 c d))
(/.f64 (neg.f64 d) (neg.f64 c))
(/.f64 (/.f64 d c) #s(literal 1 binary64))
(/.f64 d c)
(neg.f64 (/.f64 (/.f64 (neg.f64 d) c) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 d) c))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (neg.f64 d) c))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 d) c))
(exp.f64 (*.f64 (log.f64 (/.f64 c d)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))

eval145.0ms (2.2%)

Memory
11.4MiB live, 235.7MiB allocated
Compiler

Compiled 23 246 to 1 720 computations (92.6% saved)

prune246.0ms (3.8%)

Memory
-4.9MiB live, 310.6MiB allocated
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New1 23791 246
Fresh7815
Picked235
Done011
Total1 246211 267
Accuracy
100.0%
Counts
1 267 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.7%
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
22.6%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
30.3%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
44.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
53.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
53.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
53.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
23.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c))
25.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
44.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
42.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
52.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 d c) b a))))
36.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64))))
45.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
45.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
22.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
30.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d))
22.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d))
44.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
37.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d))))
Compiler

Compiled 532 to 287 computations (46.1% saved)

simplify22.0ms (0.3%)

Memory
20.3MiB live, 20.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 c c)
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
cost-diff0
(/.f64 (*.f64 c a) d)
cost-diff0
#s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d))
cost-diff0
(/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
cost-diff0
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
cost-diff0
(/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
cost-diff0
(*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
cost-diff0
(/.f64 #s(literal 1 binary64) c)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
cost-diff0
(/.f64 b c)
cost-diff0
(fma.f64 (/.f64 b c) d a)
cost-diff0
(/.f64 (fma.f64 (/.f64 b c) d a) c)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Rules
394×lower-*.f32
382×lower-*.f64
176×lower-/.f32
168×associate-*r*
160×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041288
056280
178276
290274
3127274
4152274
5201274
6202274
7216274
8242274
9285274
10313274
11365274
12443274
13505274
14569274
15578274
0578264
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(fma.f64 (/.f64 b c) d a)
(/.f64 b c)
b
c
d
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
(*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)
(/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
c
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
d
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
(/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)
#s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d))
(/.f64 (*.f64 c a) d)
(*.f64 c a)
c
a
d
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
#s(literal 1 binary64)
(/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
c
#s(approx (+ (* d b) (* c a)) (*.f64 d b))
(*.f64 d b)
b
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(fma.f64 (/.f64 b c) d a)
(/.f64 b c)
b
c
d
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(/.f64 a c)
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)
(/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
c
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
d
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) d))
(/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)
(/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) d)
#s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d))
#s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a))
(/.f64 (*.f64 c a) d)
(*.f64 (/.f64 c d) a)
(*.f64 c a)
c
a
d
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
#s(literal 1 binary64)
(/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
c
#s(approx (+ (* d b) (* c a)) (*.f64 d b))
(*.f64 d b)
b

localize108.0ms (1.7%)

Memory
-19.4MiB live, 142.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 c c)
accuracy0.858261029861748
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
accuracy22.203652425190594
(/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))
accuracy30.488985844375904
#s(approx (+ (* d b) (* c a)) (*.f64 d b))
accuracy0.7349190590101891
(/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)
accuracy3.949323043956173
(/.f64 (*.f64 c a) d)
accuracy28.58164034960603
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
accuracy31.496613730084444
#s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d))
accuracy3.0109490799341216
(*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)
accuracy17.10047859453419
(/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
accuracy24.460680098100482
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
accuracy28.191411786226684
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy0
(/.f64 #s(literal 1 binary64) c)
accuracy0.1796875
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
accuracy36.807869436462525
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
accuracy0
(/.f64 b c)
accuracy0.2905978172670203
(/.f64 (fma.f64 (/.f64 b c) d a) c)
accuracy3.996904981782649
(fma.f64 (/.f64 b c) d a)
accuracy29.300965584899156
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Samples
87.0ms256×0valid
Compiler

Compiled 212 to 33 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 16.0ms (39% of total)
ival-div: 15.0ms (36.6% of total)
ival-add: 9.0ms (22% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series48.0ms (0.7%)

Memory
-14.1MiB live, 69.9MiB allocated
Counts
20 → 744
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())
#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())
#s(alt #s(approx (+ (* d b) (* c a)) (*.f64 d b)) (patch #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #<representation binary64>) () ())
Outputs
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<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 (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ())
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ())
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ c (pow d 2)) (taylor 0 c) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ())
#s(alt (/ d b) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ())
#s(alt (+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
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#s(alt (/ (* a c) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ())
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf d) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ())
#s(alt (/ d b) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt #s(approx (+ (* d b) (* c a)) (*.f64 d b)) (patch #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* d b) (* c a)) (*.f64 d b)) (patch #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* d b) (* c a)) (*.f64 d b)) (patch #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* d b) (* c a)) (*.f64 d b)) (patch #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
4.0ms
a
@0
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (+ (* d b) (* c a)))
2.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (+ (* d b) (* c a)))
2.0ms
a
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (+ (* d b) (* c a)))
2.0ms
a
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (+ (* d b) (* c a)))
2.0ms
c
@0
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (+ (* d b) (* c a)))

simplify220.0ms (3.4%)

Memory
29.7MiB live, 230.0MiB allocated
Algorithm
egg-herbie
Rules
7 246×lower-*.f64
7 246×lower-*.f32
6 290×lower-fma.f64
6 290×lower-fma.f32
3 398×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076110292
1257510050
085679379
Stop Event
iter limit
node limit
Counts
744 → 732
Calls
Call 1
Inputs
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (* b d) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ (* a c) (pow d 2))
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(/ c (pow d 2))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
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(/ (* a c) (pow d 2))
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a
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a
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b
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(* b (+ d (/ (* a c) b)))
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(/ b c)
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b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
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b
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(* b d)
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a
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(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (+ (pow c 2) (pow d 2)) (* a c))
(/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a)
(/ (- (+ c (+ (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3))) (/ (pow d 2) c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)
(/ (- (+ c (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a)
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (+ (pow c 2) (pow d 2)) (* a c))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ a c)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))
(/ 1 c)
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (* a c) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ c a)
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) c)
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (* a c) (pow d 2))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/ c (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ d b)
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ (* b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ (* a c) (pow d 2))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/ c (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ (* b d) (pow c 2))
(*.f64 (/.f64 b (*.f64 c c)) d)
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 c a (*.f64 d b)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 c a (*.f64 d b)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 c a (*.f64 d b)) c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ (* a c) (pow d 2))
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(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* b d)
(*.f64 d b)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) c) d) (*.f64 (*.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(/ (* b d) (pow c 2))
(*.f64 (/.f64 b (*.f64 c c)) d)
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 a (*.f64 c d))) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 a (*.f64 c d))) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 a (*.f64 c d))) (neg.f64 d))
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (neg.f64 d) (-.f64 (/.f64 (neg.f64 b) c) (/.f64 a d)))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (neg.f64 d) (-.f64 (/.f64 (neg.f64 b) c) (/.f64 a d)))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (neg.f64 d) (-.f64 (/.f64 (neg.f64 b) c) (/.f64 a d)))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) c) d) (*.f64 (*.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) c) d) (*.f64 (*.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(/ (* a c) (pow d 2))
(*.f64 (/.f64 c (*.f64 d d)) a)
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 d d))) (*.f64 d d))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 c a (*.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))))) (*.f64 d d))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) a) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 d d)))) (*.f64 d d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 c (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 d d))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)) c) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 d d))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)))) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) c) d) (*.f64 (*.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
b
(+ b (/ (* a c) d))
(fma.f64 (/.f64 c d) a b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 c d) a b)
(+ b (/ (* a c) d))
(fma.f64 (/.f64 c d) a b)
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) c) d) (*.f64 (*.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(/ d b)
(/.f64 d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(*.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) d)) (/.f64 #s(literal -1 binary64) b)) (neg.f64 d))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (neg.f64 c) c) b) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 b b) b))) (neg.f64 d)) (*.f64 a (/.f64 c (*.f64 b b)))) (neg.f64 d)) (/.f64 #s(literal 1 binary64) b)) (neg.f64 d))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 c) c) b) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 b b) b))) c) (*.f64 d b)) (/.f64 (*.f64 c c) b))) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 b b) b))) (neg.f64 d)) (*.f64 a (/.f64 c (*.f64 b b)))) (neg.f64 d)) (/.f64 #s(literal 1 binary64) b)) (neg.f64 d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* b d)
(*.f64 d b)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))

rewrite166.0ms (2.6%)

Memory
4.6MiB live, 200.3MiB allocated
Rules
6 236×lower-fma.f32
6 232×lower-fma.f64
4 744×lower-/.f32
4 728×lower-/.f64
4 350×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041262
056254
1222248
21491248
08411238
Stop Event
iter limit
node limit
iter limit
Counts
20 → 492
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(fma.f64 (/.f64 b c) d a)
(/.f64 b c)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
(/.f64 #s(literal 1 binary64) c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
(*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)
(/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
(/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)
#s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d))
(/.f64 (*.f64 c a) d)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
(/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
#s(approx (+ (* d b) (* c a)) (*.f64 d b))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(*.f64 (pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) c) (/.f64 (fma.f64 (/.f64 b c) d a) (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)))))
(*.f64 (pow.f64 (/.f64 c (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 b c) d) a)))
(*.f64 (pow.f64 (/.f64 c (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)))))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) c) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 b c) d) a)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) c) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 b c) d) a)))
(*.f64 (/.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) c) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) c) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)))))
(*.f64 (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (/.f64 b c) d) a) (neg.f64 c))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) (neg.f64 c))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (/.f64 b c) d) a) c)))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 c (-.f64 (*.f64 (/.f64 b c) d) a))))
(*.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) c)))
(*.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) c))
(*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 (/.f64 b c) d a))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(*.f64 (/.f64 (fma.f64 (/.f64 b c) d a) c) (/.f64 (-.f64 (*.f64 (/.f64 b c) d) a) (-.f64 (*.f64 (/.f64 b c) d) a)))
(*.f64 (/.f64 (fma.f64 (/.f64 b c) d a) c) #s(literal 1 binary64))
(*.f64 (fma.f64 (/.f64 b c) d a) (/.f64 #s(literal 1 binary64) c))
(pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) c)) (neg.f64 (-.f64 (*.f64 (/.f64 b c) d) a)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) c)) (neg.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64))) c)
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 b c) d) a) (neg.f64 c))))
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(+.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 d d) (*.f64 c c))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 (*.f64 c c) #s(literal 1 binary64))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(/.f64 c (/.f64 #s(literal 1 binary64) c))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
(*.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #s(literal -1 binary64))
(pow.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #s(literal 1 binary64))
#s(approx (+ (* d b) (* c a)) (*.f64 d b))
(/.f64 (neg.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
(neg.f64 (neg.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #s(literal -1 binary64)))

eval305.0ms (4.7%)

Memory
1.2MiB live, 198.7MiB allocated
Compiler

Compiled 23 999 to 1 995 computations (91.7% saved)

prune214.0ms (3.3%)

Memory
-45.9MiB live, 248.6MiB allocated
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New1 21771 224
Fresh21012
Picked055
Done044
Total1 219261 245
Accuracy
100.0%
Counts
1 245 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.7%
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
22.6%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
30.3%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
44.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
53.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
53.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
53.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
53.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 c b)) d a) c))
23.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
23.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c))
25.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
26.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 c (/.f64 d a))) d))
25.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 a d) c)) d))
44.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
42.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
21.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 d #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a))) #s(literal -1/2 binary64))))
45.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
45.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
22.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
30.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d))
22.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d))
44.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
22.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a))
22.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)))
37.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d))))
Compiler

Compiled 846 to 308 computations (63.6% saved)

regimes62.0ms (1%)

Memory
32.8MiB live, 32.8MiB allocated
Counts
44 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 c (/.f64 d a))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 c a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 d c) b a))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 c b)) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 b (/.f64 c d)) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 d #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
Calls

5 calls:

12.0ms
c
12.0ms
b
12.0ms
a
12.0ms
d
11.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
67.0%2a
71.4%4b
85.7%5c
89.2%4d
77.0%2(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes25.0ms (0.4%)

Memory
-21.2MiB live, 19.2MiB allocated
Counts
40 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 c (/.f64 d a))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 c a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 d c) b a))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 c b)) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 b (/.f64 c d)) (/.f64 a c)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
Calls

1 calls:

23.0ms
d
Results
AccuracySegmentsBranch
88.9%4d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.2%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 c (/.f64 d a))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
86.5%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (0.4%)

Memory
-1.0MiB live, 34.2MiB allocated
Counts
24 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
Calls

3 calls:

10.0ms
d
7.0ms
c
6.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
62.8%4(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
72.6%3c
78.8%4d
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes17.0ms (0.3%)

Memory
-11.7MiB live, 24.9MiB allocated
Counts
23 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
Calls

2 calls:

9.0ms
c
7.0ms
d
Results
AccuracySegmentsBranch
71.5%5c
74.5%5d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.2%)

Memory
21.5MiB live, 21.5MiB allocated
Counts
14 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
Calls

2 calls:

4.0ms
b
4.0ms
d
Results
AccuracySegmentsBranch
52.3%3b
71.1%4d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory
-21.6MiB live, 13.9MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
Calls

1 calls:

6.0ms
d
Results
AccuracySegmentsBranch
69.4%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
a
1.0ms
d
1.0ms
b
1.0ms
c
1.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
42.5%1b
42.5%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
42.5%1c
42.5%1a
42.5%1d
Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch47.0ms (0.7%)

Memory
-32.9MiB live, 19.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
38.0ms
1.0205703475248028e+62
1.8898549003181797e+75
6.0ms
8.90041696912321e-64
1.5974673683557658e-63
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Samples
14.0ms224×0valid
Compiler

Compiled 534 to 318 computations (40.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (56.5% of total)
ival-add: 2.0ms (22.6% of total)
ival-div: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.0205703475248028e+62
1.8898549003181797e+75
0.0ms
8.90041696912321e-64
1.5974673683557658e-63
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Compiler

Compiled 498 to 298 computations (40.2% saved)

bsearch18.0ms (0.3%)

Memory
13.7MiB live, 13.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.2220229484737679e-54
4.775574817130868e-42
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Samples
10.0ms160×0valid
Compiler

Compiled 302 to 178 computations (41.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (65% of total)
ival-div: 1.0ms (16.2% of total)
ival-add: 1.0ms (16.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.5%)

Memory
13.2MiB live, 13.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.2220229484737679e-54
4.775574817130868e-42
15.0ms
7.49108411690235e-254
8.954925277907095e-244
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Samples
17.0ms272×0valid
Compiler

Compiled 592 to 338 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (58.7% of total)
ival-div: 2.0ms (19.6% of total)
ival-add: 2.0ms (19.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.3%)

Memory
-20.5MiB live, 17.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
4.300680905301232e+155
1.1656906340664791e+161
1.0ms
1.2220229484737679e-54
4.775574817130868e-42
1.0ms
7.49108411690235e-254
8.954925277907095e-244
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Samples
11.0ms144×0valid
Compiler

Compiled 856 to 483 computations (43.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (70% of total)
ival-div: 1.0ms (17.5% of total)
ival-add: 1.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2220229484737679e-54
4.775574817130868e-42
1.0ms
7.49108411690235e-254
8.954925277907095e-244
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Compiler

Compiled 542 to 318 computations (41.3% saved)

bsearch14.0ms (0.2%)

Memory
12.2MiB live, 12.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
9.274398029768854e-58
1.2220229484737679e-54
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Samples
8.0ms128×0valid
Compiler

Compiled 166 to 114 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59.5% of total)
ival-div: 1.0ms (19.8% of total)
ival-add: 1.0ms (19.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.2%)

Memory
10.9MiB live, 10.9MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative_binary64
14×+-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089742
1100742
2109742
3116742
4121742
5123742
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) (if (<=.f64 d #s(literal 1850000000000000054922487932245313229099284413632074640947501388300319457280 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 1850000000000000054922487932245313229099284413632074640947501388300319457280 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) (if (<=.f64 d #s(literal 440000000000000046028234249893677914931907083605744019009752390047171670141116220716511817951816905848431954397993882730663713140043877941103315175780384768 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 1984252074702287/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Outputs
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) (if (<=.f64 d #s(literal 1850000000000000054922487932245313229099284413632074640947501388300319457280 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) (if (<=.f64 d #s(literal 1850000000000000054922487932245313229099284413632074640947501388300319457280 binary64)) (/.f64 (+.f64 (*.f64 b d) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 1850000000000000054922487932245313229099284413632074640947501388300319457280 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 1850000000000000054922487932245313229099284413632074640947501388300319457280 binary64)) (/.f64 (+.f64 (*.f64 b d) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) (if (<=.f64 d #s(literal 440000000000000046028234249893677914931907083605744019009752390047171670141116220716511817951816905848431954397993882730663713140043877941103315175780384768 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 c c)))) (if (<=.f64 d #s(literal 440000000000000046028234249893677914931907083605744019009752390047171670141116220716511817951816905848431954397993882730663713140043877941103315175780384768 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 d d)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 1984252074702287/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

soundness676.0ms (10.5%)

Memory
-17.2MiB live, 583.7MiB allocated
Rules
8 736×lower-fma.f64
8 736×lower-fma.f32
7 644×lower-fma.f64
7 644×lower-fma.f32
7 156×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06529784
121929539
081338852
04518200
114688090
244967938
081367354
01861356
16181346
218901322
357601320
083151190
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 523 to 202 computations (61.4% saved)

preprocess91.0ms (1.4%)

Memory
-10.3MiB live, 106.1MiB allocated
Compiler

Compiled 746 to 190 computations (74.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...