Complex division, real part

Time bar (total: 7.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze25.0ms (0.3%)

Memory
25.7MiB live, 64.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample832.0ms (11.5%)

Memory
0.5MiB live, 1 412.4MiB allocated
Samples
553.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 350.0ms
ival-mult: 222.0ms (63.5% of total)
ival-add: 69.0ms (19.7% of total)
ival-div: 50.0ms (14.3% of total)
ival-true: 6.0ms (1.7% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain116.0ms (1.6%)

Memory
2.3MiB live, 161.8MiB 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
42.0ms512×0valid
Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 15.0ms (66.6% of total)
ival-add: 4.0ms (17.8% of total)
ival-div: 3.0ms (13.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess326.0ms (4.5%)

Memory
0.3MiB live, 38.1MiB allocated
Algorithm
egg-herbie
Rules
2 210×times-frac
1 210×div-sub
1 068×distribute-rgt-in
1 028×distribute-lft-in
988×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

simplify4.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize29.0ms (0.4%)

Memory
-11.5MiB live, 26.9MiB 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
19.0ms256×0valid
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 (60.9% of total)
ival-add: 2.0ms (20.3% of total)
ival-div: 1.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())
Outputs
#s(alt (* b d) (taylor 0 a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ d (/ (* a c) b))) (taylor inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ d (/ (* a c) b))) (taylor inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ d (/ (* a c) b))) (taylor inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* b d)) (taylor 0 d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ b (/ (* a c) d))) (taylor inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ b (/ (* a c) d))) (taylor inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ b (/ (* a c) d))) (taylor inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* b d) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
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#s(alt (* a c) (taylor inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ())
Calls

36 calls:

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

simplify181.0ms (2.5%)

Memory
9.0MiB live, 163.0MiB allocated
Algorithm
egg-herbie
Rules
7 676×lower-fma.f64
7 676×lower-fma.f32
4 326×lower-*.f64
4 326×lower-*.f32
1 822×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite481.0ms (6.7%)

Memory
-2.6MiB live, 238.8MiB allocated
Rules
5 970×lower-fma.f64
5 970×lower-fma.f32
5 332×lower-*.f32
5 324×lower-*.f64
2 426×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
15832
243532
3507332
0876028
Stop Event
iter limit
node limit
iter limit
Counts
4 → 339
Calls
Call 1
Inputs
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a c)
Outputs
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 b d) (*.f64 a c))
(+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(+.f64 (neg.f64 (*.f64 b (neg.f64 d))) (neg.f64 (*.f64 a (neg.f64 c))))
(+.f64 (neg.f64 (*.f64 a (neg.f64 c))) (neg.f64 (*.f64 b (neg.f64 d))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a c (*.f64 b d))))
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b d (*.f64 a (neg.f64 c)))))
(fma.f64 a c (*.f64 b d))
(fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 c a (*.f64 b d))
(fma.f64 c (/.f64 (*.f64 a (*.f64 a c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 c (exp.f64 (log.f64 a)) (*.f64 b d))
(fma.f64 (*.f64 a c) (/.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 b d (*.f64 a c))
(fma.f64 d b (*.f64 a c))
(fma.f64 d (exp.f64 (log.f64 b)) (*.f64 a c))
(fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (*.f64 a (*.f64 c c)) (/.f64 a (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (*.f64 a (*.f64 a c)) (/.f64 c (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d)) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d)))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 (exp.f64 (log.f64 a)) c (*.f64 b d))
(fma.f64 (exp.f64 (log.f64 b)) d (*.f64 a c))
(neg.f64 (neg.f64 (fma.f64 a c (*.f64 b d))))
(/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))
(/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 a (neg.f64 c))) (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c))))))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (-.f64 (*.f64 a c) (*.f64 b d)))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))))))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))) (fma.f64 b d (*.f64 a (neg.f64 c))))
(/.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))))
(/.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c))))))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d))))))
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c)))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c)))))) (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))
(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) #s(literal 1 binary64)) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))) #s(literal 1 binary64)) (fma.f64 b d (*.f64 a (neg.f64 c))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (-.f64 (*.f64 a c) (*.f64 b d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (neg.f64 (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d)))))
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(*.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(*.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (*.f64 b d)))) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d)))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (+.f64 c d) (-.f64 c d)))
(*.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (+.f64 c d)) (-.f64 c d))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))))
(*.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (neg.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))))
(*.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d)))))) (neg.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 d c)))) (*.f64 (+.f64 c d) (-.f64 d c)))
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 c c (*.f64 d d))) (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (fma.f64 b d (*.f64 a (neg.f64 c))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))))) (fma.f64 (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))) (-.f64 (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c)))))))
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d)))))
(exp.f64 (log.f64 (*.f64 a c)))
(exp.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 1 binary64)))
(pow.f64 (*.f64 a c) #s(literal 1 binary64))
(*.f64 a c)
(*.f64 c a)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) c)

eval61.0ms (0.8%)

Memory
-0.1MiB live, 71.8MiB allocated
Compiler

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

prune101.0ms (1.4%)

Memory
17.6MiB live, 105.5MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New47211483
Fresh000
Picked101
Done000
Total47311484
Accuracy
99.6%
Counts
484 → 11
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)))
64.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
50.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
48.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
53.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
54.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
50.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c))
44.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
43.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 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))
Compiler

Compiled 318 to 176 computations (44.7% saved)

simplify29.0ms (0.4%)

Memory
-18.2MiB live, 20.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b d)
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
cost-diff128
(+.f64 (*.f64 a c) (*.f64 b d))
cost-diff0
(/.f64 c d)
cost-diff0
(fma.f64 a (/.f64 c d) b)
cost-diff0
(/.f64 (fma.f64 a (/.f64 c d) b) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
cost-diff0
(/.f64 a c)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
cost-diff0
(*.f64 d d)
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
Rules
390×lower-*.f32
382×lower-*.f64
182×lower-/.f32
170×associate-*r*
168×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032211
049211
164211
280209
3115209
4171209
5207209
6267209
7333209
8409209
9478209
10555209
11594209
12600209
13604209
14604209
0604209
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
#s(literal 1 binary64)
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
d
(fma.f64 a c (*.f64 b d))
a
(*.f64 b d)
b
#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 a c) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(*.f64 a c)
a
c
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
d
b
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
(/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c c (*.f64 d d)))
#s(literal 1 binary64)
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c a (*.f64 d b)))
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
d
(fma.f64 a c (*.f64 b d))
(fma.f64 c a (*.f64 d b))
a
(*.f64 b d)
(*.f64 d b)
b
#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 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 a c)
(*.f64 c a)
a
c
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
d
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(fma.f64 a (/.f64 c d) b)
(fma.f64 c (/.f64 a d) b)
a
(/.f64 c d)
c
d
b
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 c a (*.f64 d b))
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 b d)
(*.f64 d b)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)

localize90.0ms (1.3%)

Memory
-45.0MiB live, 110.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a c)
accuracy0.45702918583020585
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy22.14268646670914
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
accuracy28.191411786226684
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy0
(/.f64 c d)
accuracy0.7349190590101891
(/.f64 (fma.f64 a (/.f64 c d) b) d)
accuracy3.332316866394347
(fma.f64 a (/.f64 c d) b)
accuracy28.58164034960603
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
accuracy0
(*.f64 c c)
accuracy0
(*.f64 a c)
accuracy14.635968397341378
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
accuracy24.460680098100482
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
accuracy0
(/.f64 a c)
accuracy36.807869436462525
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy0.00390625
(fma.f64 c c (*.f64 d d))
accuracy0.00390625
(fma.f64 a c (*.f64 b d))
accuracy0.858261029861748
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
accuracy22.203652425190594
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))
Samples
53.0ms256×0valid
Compiler

Compiled 201 to 23 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 20.0ms (56.9% of total)
ival-div: 10.0ms (28.4% of total)
ival-add: 4.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series73.0ms (1%)

Memory
16.5MiB live, 54.3MiB allocated
Counts
20 → 708
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) (patch (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) #<representation binary64>) () ())
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())
#s(alt (*.f64 d d) (patch (*.f64 d d) #<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 a c) (fma.f64 d d (*.f64 c c)))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())
#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 a (/.f64 c d) b) d) (patch (/.f64 (fma.f64 a (/.f64 c d) b) d) #<representation binary64>) () ())
#s(alt (fma.f64 a (/.f64 c d) b) (patch (fma.f64 a (/.f64 c d) b) #<representation binary64>) () ())
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())
#s(alt (*.f64 b d) (patch (*.f64 b d) #<representation binary64>) () ())
#s(alt (fma.f64 a c (*.f64 b d)) (patch (fma.f64 a c (*.f64 b d)) #<representation binary64>) () ())
#s(alt (*.f64 c c) (patch (*.f64 c c) #<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>) () ())
Outputs
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ a c) (taylor 0 d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) (taylor 0 d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) (taylor 0 d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (/ (* a c) d)) d) (taylor inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) (taylor inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) (taylor inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<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 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))) #<representation binary64>) () ())) ())
#s(alt (/ d b) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) (patch (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) (patch (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) #<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 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) (patch (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) #<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 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) (patch (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) #<representation binary64>) () ())) ())
#s(alt (/ c a) (taylor inf c) (#s(alt (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) (patch (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a))) (taylor inf c) (#s(alt (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) (patch (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))) #<representation binary64>) () ())) ())
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#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
Calls

177 calls:

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

simplify327.0ms (4.5%)

Memory
-1.5MiB live, 239.9MiB allocated
Algorithm
egg-herbie
Rules
7 160×lower-*.f64
7 160×lower-*.f32
6 326×lower-fma.f64
6 326×lower-fma.f32
3 092×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06399532
121779305
080758616
Stop Event
iter limit
node limit
Counts
708 → 702
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))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ 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))
(/ 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)))))
(/ 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))))
(/ 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))
(/ 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)))))
(/ 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 c 2) (pow d 2)) (* b d))
(+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d))))
(+ (* a (- (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(+ (* a (- (* a (- (* -1 (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(/ (+ (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)
(/ (+ (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))
(/ (+ (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))))
(/ (+ (pow c 2) (pow d 2)) (* b d))
(/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b)
(/ (- (+ d (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3))) (/ (pow c 2) d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)
(/ (- (+ d (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b)
(/ (+ (pow c 2) (pow d 2)) (* b d))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* b (pow d 3))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* b (pow d 4))) (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3))) b)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ (* a c) (+ (pow 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)))
(/ (* 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 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))))
(/ a c)
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) 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))
(/ (* 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))
(/ (* 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))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* 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) (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))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/ (* 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))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* 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))
(/ (* a c) (pow d 2))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/ b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ (* 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)))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 b (/.f64 c (*.f64 d (*.f64 d d))))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
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(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(neg.f64 (*.f64 d (neg.f64 (fma.f64 a (/.f64 c d) b))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(neg.f64 (*.f64 d (neg.f64 (fma.f64 a (/.f64 c d) b))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(neg.f64 (*.f64 d (neg.f64 (fma.f64 a (/.f64 c d) b))))
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))

rewrite558.0ms (7.7%)

Memory
20.5MiB live, 377.6MiB allocated
Rules
9 014×lower-fma.f32
9 006×lower-fma.f64
6 350×lower-*.f32
6 342×lower-*.f64
3 598×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032184
049182
1162182
21095182
08663182
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 283
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d)))
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
#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 a c) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(*.f64 a c)
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
(/.f64 c d)
(+.f64 (*.f64 a c) (*.f64 b d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(*.f64 b d)
(fma.f64 a c (*.f64 b d))
(*.f64 c c)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
Outputs
(+.f64 (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b))
(+.f64 (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(+.f64 (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))))
(+.f64 (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) (*.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(+.f64 (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 c a))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 d (neg.f64 b))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 d (neg.f64 b))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 c a))))
(+.f64 (*.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))
(+.f64 (*.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 c (*.f64 c c)))))
(+.f64 (*.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 c (*.f64 (+.f64 c d) (-.f64 c d))))))
(+.f64 (*.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 c (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 d (*.f64 d (*.f64 d d)))))
(+.f64 (*.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 d (neg.f64 d))))
(+.f64 (*.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 d d)) (*.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 c (neg.f64 c))))
(+.f64 (*.f64 (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(+.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))))
(+.f64 (*.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))))
(+.f64 (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 c (*.f64 c (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))))
(+.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))))
(+.f64 (*.f64 (*.f64 c c) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (*.f64 d (neg.f64 d)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))))
(+.f64 (*.f64 (*.f64 d d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c))))) (*.f64 (*.f64 c (neg.f64 c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c a (*.f64 d b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c c (*.f64 d d)))))
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b) (neg.f64 (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))) (neg.f64 (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) (neg.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c c (*.f64 d d)))))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (-.f64 (*.f64 c a) (*.f64 d b))) (fma.f64 c c (*.f64 d d))) (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (fma.f64 c c (*.f64 d d))))
(-.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b)))) (/.f64 (*.f64 b (*.f64 d (*.f64 d b))) (*.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))) (*.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 c (/.f64 a (fma.f64 c c (*.f64 d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b))
(fma.f64 c (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(fma.f64 c (/.f64 a (fma.f64 c c (*.f64 d d))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))))
(fma.f64 c (/.f64 a (fma.f64 c c (*.f64 d d))) (*.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))))
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) a) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b))
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) a) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) a) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))))
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) a) (*.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))))
(fma.f64 c (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b))
(fma.f64 c (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(fma.f64 c (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))))
(fma.f64 c (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) (*.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))))
(fma.f64 d (*.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (*.f64 d d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (*.f64 c (neg.f64 c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c))))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) b))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (*.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))))
(fma.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d))))
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(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))))
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(literal -1 binary64))
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))

eval244.0ms (3.4%)

Memory
-2.2MiB live, 332.2MiB allocated
Compiler

Compiled 57 459 to 3 359 computations (94.2% saved)

prune313.0ms (4.3%)

Memory
3.8MiB live, 528.2MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New2 049132 062
Fresh246
Picked415
Done000
Total2 055182 073
Accuracy
100.0%
Counts
2 073 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.7%
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
31.9%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
23.1%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
44.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) #s(approx (+ (* a c) (* b d)) (*.f64 b d))))
41.9%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
50.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 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 d (/.f64 b c) a) c))
53.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
44.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
30.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
25.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) 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))
37.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 d (fma.f64 c (/.f64 a d) b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 c (/.f64 a d) b)) #s(literal -1/2 binary64))))
45.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
42.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
22.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
Compiler

Compiled 478 to 259 computations (45.8% saved)

simplify6.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033238
047235
159235
261235
362235
062223
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 d (/.f64 b c) a)
d
(/.f64 b c)
b
c
a
#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 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 a c))
(*.f64 a c)
a
c
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d)
#s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d))
(/.f64 (*.f64 a c) d)
(*.f64 a c)
a
c
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(fma.f64 (/.f64 a d) c b)
(/.f64 a d)
a
d
c
b
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 d (/.f64 b c) a)
(fma.f64 b (/.f64 d c) a)
d
(/.f64 b c)
b
c
a
#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 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 a c))
(*.f64 a c)
a
c
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 a (/.f64 c d))) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d)
(/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 a (/.f64 c d))) d)
#s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d))
#s(approx (+ (* a (/ c d)) b) (*.f64 a (/.f64 c d)))
(/.f64 (*.f64 a c) d)
(*.f64 a (/.f64 c d))
(*.f64 a c)
a
c
d
#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 a (/.f64 c d) b) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 (/.f64 a d) c b)
(fma.f64 a (/.f64 c d) b)
(/.f64 a d)
a
d
c
b

localize101.0ms (1.4%)

Memory
-14.0MiB live, 107.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 a d)
accuracy0.7349190590101891
(/.f64 (fma.f64 (/.f64 a d) c b) d)
accuracy3.5054687850019257
(fma.f64 (/.f64 a d) c b)
accuracy28.58164034960603
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
accuracy0.7349190590101891
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d)
accuracy3.949323043956173
(/.f64 (*.f64 a c) d)
accuracy28.58164034960603
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
accuracy31.496613730084444
#s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d))
accuracy0
(*.f64 a c)
accuracy22.14268646670914
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
accuracy28.191411786226684
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy31.22781827513547
#s(approx (+ (* a c) (* b d)) (*.f64 a c))
accuracy0
(/.f64 b d)
accuracy35.49692706502843
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy0
(/.f64 b c)
accuracy0.2905978172670203
(/.f64 (fma.f64 d (/.f64 b c) a) c)
accuracy3.996904981782649
(fma.f64 d (/.f64 b c) a)
accuracy29.300965584899156
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
Samples
58.0ms256×0valid
Compiler

Compiled 178 to 27 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 14.0ms (46.1% of total)
ival-mult: 10.0ms (32.9% of total)
ival-add: 5.0ms (16.5% of total)
ival-true: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)

series44.0ms (0.6%)

Memory
-6.9MiB live, 68.0MiB allocated
Counts
18 → 732
Calls
Call 1
Inputs
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())
#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())
#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 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 a c)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #<representation binary64>) () ())
#s(alt (*.f64 a c) (patch (*.f64 a c) #<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 (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d) (patch (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 a c) d) (patch (/.f64 (*.f64 a c) d) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())
#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())
Outputs
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) 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 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) 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 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) 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 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ())) ())
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#s(alt (/ (+ b (/ (* a c) d)) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ a (pow d 2)) (/ b (* c d)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ a (pow d 2)) (/ b (* c d)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ a (pow d 2)) (/ b (* c d)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (pow d 2)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor inf b) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor inf a) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ b a) (/ c d))) (taylor inf a) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ b a) (/ c d))) (taylor inf a) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ b a) (/ c d))) (taylor inf a) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf a) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor 0 d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) d) (taylor 0 d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) d) (taylor 0 d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) d) (taylor 0 d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt b (taylor inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor inf c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ a d) (/ b c))) (taylor inf c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ a d) (/ b c))) (taylor inf c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ a d) (/ b c))) (taylor inf c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf c) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor 0 b) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ (* a c) (* b d)))) (taylor inf b) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ (* a c) (* b d)))) (taylor inf b) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ (* a c) (* b d)))) (taylor inf b) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor 0 a) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor 0 a) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor 0 a) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor 0 a) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor inf a) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor inf a) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor inf a) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor inf a) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf a) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf a) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf a) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf a) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor 0 d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor 0 d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor 0 d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor 0 d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
#s(alt (/ a d) (taylor -inf d) (#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ())) ())
Calls

183 calls:

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

simplify239.0ms (3.3%)

Memory
40.8MiB live, 308.8MiB allocated
Algorithm
egg-herbie
Rules
6 712×lower-fma.f64
6 712×lower-fma.f32
4 696×lower-*.f64
4 696×lower-*.f32
4 000×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02877902
19927852
231937732
372787732
082857144
Stop Event
iter limit
node limit
Counts
732 → 714
Calls
Call 1
Inputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
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(* a (+ (/ b (* a d)) (/ c (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))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/ (* 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))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* 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))
(/ (* a c) (pow d 2))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/ b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ (* 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)))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* 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) (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) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* 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 d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/ (* a c) (pow d 2))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/ b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ (* 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) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* a c) d)
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 b (/.f64 c (*.f64 d (*.f64 d d))))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 c (/.f64 a (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (/.f64 (*.f64 a (*.f64 d (neg.f64 d))) 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 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 (*.f64 d d) a)) c)) c)) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (/.f64 (*.f64 a (*.f64 d (neg.f64 d))) 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 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 (*.f64 d d) a)) c)) c)) c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (/.f64 (*.f64 d a) (*.f64 c (*.f64 c c)))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 c a)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (fma.f64 a (*.f64 c (/.f64 (*.f64 c c) d)) (*.f64 b (*.f64 c c))) d)) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
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(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (/.f64 (*.f64 a (*.f64 d (neg.f64 d))) 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 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 (*.f64 d d) a)) c)) c)) c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (/.f64 (*.f64 d a) (*.f64 c (*.f64 c c)))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 c a)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (fma.f64 a (*.f64 c (/.f64 (*.f64 c c) d)) (*.f64 b (*.f64 c c))) d)) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 c a)) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (fma.f64 a (*.f64 c (/.f64 (*.f64 c c) d)) (*.f64 b (*.f64 c c))) d)) d)) d)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 c a) (*.f64 d d))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d))))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 c a) (*.f64 d d))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d))))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 c a) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 c a) (*.f64 d d))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 c a) (*.f64 d d))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 c a) (*.f64 d d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/ b d)
(/.f64 b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 b (*.f64 a (/.f64 c (*.f64 b (*.f64 d d)))) (/.f64 b d))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 b (*.f64 a (/.f64 c (*.f64 b (*.f64 d d)))) (/.f64 b d))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 b (*.f64 a (/.f64 c (*.f64 b (*.f64 d d)))) (/.f64 b d))
(/ b d)
(/.f64 b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 b (*.f64 a (/.f64 c (*.f64 b (*.f64 d d)))) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 b (*.f64 a (/.f64 c (*.f64 b (*.f64 d d)))) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 b (*.f64 a (/.f64 c (*.f64 b (*.f64 d d)))) (/.f64 b d))
b
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 b d (*.f64 c a)) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 b d (*.f64 c a)) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 b d (*.f64 c a)) d)
b
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
b
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
b
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(* c (+ (/ a d) (/ b c)))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(* c (+ (/ a d) (/ b c)))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(* c (+ (/ a d) (/ b c)))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 c (+.f64 (/.f64 a d) (/.f64 b c)))
(/ (* a c) d)
(/.f64 (*.f64 c a) d)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
b
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 b d)) b)
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 b d)) b)
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 b d)) b)
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 b d)) b)
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 b d)) b)
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 b d)) b)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)

rewrite244.0ms (3.4%)

Memory
-21.5MiB live, 295.7MiB allocated
Rules
9 502×lower-fma.f32
9 498×lower-fma.f64
5 710×lower-*.f32
5 706×lower-*.f64
3 666×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033216
047213
1181213
21173213
09012201
Stop Event
iter limit
node limit
iter limit
Counts
18 → 406
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(fma.f64 d (/.f64 b c) a)
(/.f64 b c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 a c))
(*.f64 a c)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d)
#s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d))
(/.f64 (*.f64 a c) d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(fma.f64 (/.f64 a d) c b)
(/.f64 a d)
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) a) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
(+.f64 (*.f64 a (/.f64 #s(literal 1 binary64) c)) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(+.f64 (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)) (*.f64 a (/.f64 #s(literal 1 binary64) c)))
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 d (/.f64 b c) a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 d (/.f64 b c) a) c)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (neg.f64 (/.f64 (fma.f64 d (/.f64 b c) a) c)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (fma.f64 d (/.f64 b c) (neg.f64 a))) c) (/.f64 (/.f64 (*.f64 a a) (fma.f64 d (/.f64 b c) (neg.f64 a))) c))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 c (fma.f64 d (/.f64 b c) (neg.f64 a)))) (/.f64 (*.f64 a a) (*.f64 c (fma.f64 d (/.f64 b c) (neg.f64 a)))))
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c) (*.f64 a (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
(neg.f64 (neg.f64 (/.f64 (fma.f64 d (/.f64 b c) a) c)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 d (/.f64 b c) a) c))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 c (fma.f64 d (/.f64 b c) a))))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) (neg.f64 c))
(/.f64 (fma.f64 (*.f64 d (*.f64 d d)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) c))
(/.f64 (fma.f64 (*.f64 d (*.f64 d d)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (*.f64 c (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))))
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 d (/.f64 b c) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))) (fma.f64 (*.f64 d (*.f64 d d)) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a)))))
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(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b))) d)) (neg.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) d)) (fma.f64 a (/.f64 c (neg.f64 d)) b))
(pow.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal -1 binary64))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 (-.f64 (/.f64 (*.f64 a c) d) b) (-.f64 (/.f64 (*.f64 a c) d) b)))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 #s(literal -1 binary64) d))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) d)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 a (/.f64 c d) b))
(*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 d (-.f64 (/.f64 (*.f64 a c) d) b))))
(*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (*.f64 a c) d) b) d)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 d)))
(*.f64 (/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b))) d) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) d) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 a c) d) b)))
(*.f64 (pow.f64 (/.f64 d (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(*.f64 (pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 a c) d) b)))
(*.f64 (/.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) d) (/.f64 (fma.f64 a (/.f64 c d) b) (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(*.f64 (pow.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (/.f64 c d) b))) (/.f64 #s(literal -1 binary64) d))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 a c) d) b)))
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 (/.f64 (*.f64 a c) d) b)
(+.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 a c) d) b)) (neg.f64 (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 a c) d) b))))
(-.f64 b (/.f64 (*.f64 a (neg.f64 c)) d))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a (/.f64 c d) b)))
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 a c) d) b)) (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 a c) d) b)))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (/.f64 (*.f64 a c) d))) (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 b (/.f64 (*.f64 a c) d))))
(fma.f64 a (/.f64 c d) b)
(fma.f64 c (/.f64 a d) b)
(fma.f64 b #s(literal 1 binary64) (/.f64 (*.f64 a c) d))
(fma.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) d) b)
(fma.f64 (/.f64 c d) a b)
(fma.f64 (/.f64 c d) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) b)
(fma.f64 (/.f64 (*.f64 a c) d) #s(literal 1 binary64) b)
(fma.f64 (/.f64 a d) c b)
(fma.f64 (*.f64 a (neg.f64 c)) (/.f64 #s(literal -1 binary64) d) b)
(fma.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 a c) d) b)) (neg.f64 (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 a c) d) b))))
(fma.f64 #s(literal 1 binary64) b (/.f64 (*.f64 a c) d))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) d) b)
(fma.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 a c) b)
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)) b)
(fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a (/.f64 #s(literal 1 binary64) c)) b)
(fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 c (/.f64 #s(literal 1 binary64) a)) b)
(fma.f64 #s(literal -1 binary64) (neg.f64 b) (/.f64 (*.f64 a c) d))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (neg.f64 c)) d) b)
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 c (neg.f64 d)) b)
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 a (neg.f64 d)) b)
(fma.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 c d) b)
(fma.f64 (pow.f64 (/.f64 d (*.f64 a c)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (*.f64 a c)) #s(literal -1/2 binary64)) b)
(neg.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b))) (fma.f64 b b (*.f64 (/.f64 (*.f64 a c) d) (-.f64 (/.f64 (*.f64 a c) d) b))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (*.f64 (/.f64 (*.f64 a c) d) (-.f64 (/.f64 (*.f64 a c) d) b))) (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (/.f64 (*.f64 a c) d)) (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (-.f64 (/.f64 (*.f64 a c) d) b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b)))) (neg.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b)))) (neg.f64 (fma.f64 b b (*.f64 (/.f64 (*.f64 a c) d) (-.f64 (/.f64 (*.f64 a c) d) b)))))
(/.f64 (*.f64 (fma.f64 a (/.f64 c d) b) (fma.f64 a (/.f64 c (neg.f64 d)) b)) (fma.f64 a (/.f64 c (neg.f64 d)) b))
(/.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) (-.f64 b (/.f64 (*.f64 a c) d)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 a c) d) b)) (*.f64 (-.f64 (/.f64 (*.f64 a c) d) b) (*.f64 b b))) (*.f64 (-.f64 (/.f64 (*.f64 a c) d) b) (-.f64 (/.f64 (*.f64 a c) d) b)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b))))) (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (/.f64 c d) b) (fma.f64 a (/.f64 c (neg.f64 d)) b))) (-.f64 (/.f64 (*.f64 a c) d) b))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))) (neg.f64 (-.f64 b (/.f64 (*.f64 a c) d))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 a c) d) b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 a c) d) b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 a c) d) b)) (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 a c) d) b)) (fma.f64 (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 a c) d) b)) (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 a c) d) b)) (*.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 a c) d) b)) (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 a c) d) b))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 a c) d) b)) (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 a c) d) b))) (*.f64 (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 a c) d) b)) (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 a c) d) b)))) (+.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 a c) d) b)) (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 a c) d) b))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)) #s(literal -1 binary64))
(*.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (/.f64 (*.f64 a c) d) (-.f64 (/.f64 (*.f64 a c) d) b)))))
(*.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b))
(*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 a c) d) b)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 a (/.f64 c d) b)))
(*.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (-.f64 b (/.f64 (*.f64 a c) d)) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))))
(*.f64 (*.f64 (fma.f64 a (/.f64 c d) b) (fma.f64 a (/.f64 c (neg.f64 d)) b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c (neg.f64 d)) b)))
(*.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 b (/.f64 (*.f64 a c) d))))
(exp.f64 (*.f64 (log.f64 (/.f64 d a)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 a (neg.f64 d)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 a (neg.f64 d)))
(neg.f64 (/.f64 a (neg.f64 d)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 d))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d a)))
(/.f64 a d)
(/.f64 (neg.f64 a) (neg.f64 d))
(/.f64 #s(literal 1 binary64) (/.f64 d a))
(/.f64 #s(literal -1 binary64) (/.f64 d (neg.f64 a)))
(pow.f64 (/.f64 d a) #s(literal -1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) d))
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) d))
(*.f64 #s(literal 1 binary64) (/.f64 a d))
(*.f64 (/.f64 #s(literal 1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 a (neg.f64 d)))
(*.f64 (pow.f64 (/.f64 d a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d a) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (/.f64 #s(literal -1 binary64) d))

eval257.0ms (3.6%)

Memory
24.4MiB live, 178.5MiB allocated
Compiler

Compiled 17 921 to 1 113 computations (93.8% saved)

prune214.0ms (3%)

Memory
-44.8MiB live, 184.4MiB allocated
Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New1 143101 153
Fresh5712
Picked055
Done011
Total1 148231 171
Accuracy
100.0%
Counts
1 171 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.7%
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
31.9%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
23.1%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
30.3%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
44.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) #s(approx (+ (* a c) (* b d)) (*.f64 b d))))
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 d (/.f64 b c) a) c))
53.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c))
53.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) a))) c))
23.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
25.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
26.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d))
25.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) 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))
37.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 d (fma.f64 c (/.f64 a d) b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 c (/.f64 a d) b)) #s(literal -1/2 binary64))))
45.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
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))
45.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))))
37.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))))
22.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
22.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
Compiler

Compiled 562 to 306 computations (45.6% saved)

simplify30.0ms (0.4%)

Memory
26.6MiB live, 26.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a)))
cost-diff0
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d))
cost-diff384
(/.f64 c (/.f64 d a))
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 a c)
cost-diff0
#s(approx (+ (* a c) (* b d)) (*.f64 a c))
cost-diff0
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff0
(/.f64 #s(literal 1 binary64) c)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
cost-diff0
(fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a)
cost-diff0
(/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 c b))
Rules
394×lower-*.f32
384×lower-*.f64
230×lower-/.f32
212×lower-/.f64
200×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038262
055262
176255
295250
3182250
4236250
5315250
6367250
7422250
8477250
9571250
10618250
11626250
12632250
13651250
14664250
0664241
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c))
(/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)
(fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a)
d
(/.f64 #s(literal 1 binary64) (/.f64 c b))
#s(literal 1 binary64)
(/.f64 c b)
c
b
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
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 a c))
(*.f64 a c)
a
c
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.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)))
c
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
d
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d)
#s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a)))
(/.f64 c (/.f64 d a))
c
(/.f64 d a)
d
a
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a)
(fma.f64 b (/.f64 d c) a)
d
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(/.f64 b c)
#s(literal 1 binary64)
(/.f64 c b)
c
b
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
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 a c))
(*.f64 a c)
a
c
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 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 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.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 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d)
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d)
#s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a)))
#s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d))
(/.f64 c (/.f64 d a))
(/.f64 (*.f64 a c) d)
c
(/.f64 d a)
d
a

localize98.0ms (1.4%)

Memory
-22.9MiB live, 134.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.7349190590101891
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d)
accuracy5.034844798785235
(/.f64 c (/.f64 d a))
accuracy28.58164034960603
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d))
accuracy31.496613730084444
#s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a)))
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 a c)
accuracy22.14268646670914
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy26.680724661846554
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy31.22781827513547
#s(approx (+ (* a c) (* b d)) (*.f64 a c))
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))
accuracy0.2905978172670203
(/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)
accuracy0.6831373136160089
(/.f64 #s(literal 1 binary64) (/.f64 c b))
accuracy3.996904981782649
(fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a)
accuracy29.300965584899156
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c))
Samples
56.0ms256×0valid
Compiler

Compiled 203 to 29 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 16.0ms (49.8% of total)
ival-mult: 12.0ms (37.3% of total)
ival-add: 4.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
16.5MiB live, 51.5MiB allocated
Counts
19 → 708
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c) (patch (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c) #<representation binary64>) () ())
#s(alt (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) (patch (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 a c)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #<representation binary64>) () ())
#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())
#s(alt #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 (/.f64 c (/.f64 d a)) (patch (/.f64 c (/.f64 d a)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) (patch (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())
Outputs
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)) #<representation binary64>) () ())) ())
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#s(alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) (taylor inf b) (#s(alt (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) (patch (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) (taylor inf b) (#s(alt (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) (patch (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) #<representation binary64>) () ())) ())
#s(alt (/ b d) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) (patch (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) (patch (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) (patch (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) (taylor -inf b) (#s(alt (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) (patch (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 a) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 a) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 a) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor inf a) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ b a) (/ c d))) (taylor inf a) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ b a) (/ c d))) (taylor inf a) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ b a) (/ c d))) (taylor inf a) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf a) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) (taylor -inf a) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) (taylor -inf a) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) (taylor -inf a) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor inf c) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ a d) (/ b c))) (taylor inf c) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ a d) (/ b c))) (taylor inf c) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ a d) (/ b c))) (taylor inf c) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor -inf c) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf c) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf c) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf c) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor 0 d) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) d) (taylor 0 d) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) d) (taylor 0 d) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a c) (* b d)) d) (taylor 0 d) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt b (taylor inf d) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor inf d) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor inf d) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor inf d) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf d) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) d) (taylor 0 b) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 b) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 b) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (+ b (/ (* a c) d)) (taylor 0 b) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ (* a c) (* b d)))) (taylor inf b) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ (* a c) (* b d)))) (taylor inf b) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ (* a c) (* b d)))) (taylor inf b) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) (taylor -inf b) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) (taylor -inf b) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) (taylor -inf b) (#s(alt #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) (patch #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) #<representation binary64>) () ())) ())
Calls

177 calls:

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

simplify263.0ms (3.7%)

Memory
-16.3MiB live, 267.8MiB 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
04518308
114688198
244968046
081417462
Stop Event
iter limit
node limit
Counts
708 → 696
Calls
Call 1
Inputs
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(/ (* b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* b d) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(/ (* b d) c)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
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(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* 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) (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))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/ (* 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))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* 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))
(/ (* a c) (pow d 2))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/ b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ (* 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)))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
Outputs
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ b c)
(/.f64 b c)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (/.f64 (*.f64 a (*.f64 d (neg.f64 d))) 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 (fma.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) a) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (/.f64 (*.f64 a (*.f64 d (neg.f64 d))) 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 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 (*.f64 d d) a)) c)) c)) c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 a (/.f64 (fma.f64 d (/.f64 d (*.f64 c (neg.f64 c))) #s(literal 1 binary64)) c) (*.f64 b (/.f64 d (*.f64 c c))))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 c a)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 (fma.f64 a (/.f64 (fma.f64 (*.f64 c c) (/.f64 c (*.f64 d (neg.f64 d))) c) d) b) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d))) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 c a)) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (fma.f64 b (*.f64 c c) (/.f64 (*.f64 c (*.f64 c (*.f64 c a))) d)) d)) d)) d)
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(/ (* b d) (pow c 2))
(*.f64 b (/.f64 d (*.f64 c c)))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (/.f64 a (*.f64 c d))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (/.f64 a (*.f64 c d))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (/.f64 a (*.f64 c d))))
(/ (* b d) (pow c 2))
(*.f64 b (/.f64 d (*.f64 c c)))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (/.f64 a (*.f64 c d))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (/.f64 a (*.f64 c d))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (/.f64 a (*.f64 c d))))
(/ (* b d) (pow c 2))
(*.f64 b (/.f64 d (*.f64 c c)))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (/ a c) (/ (* b d) (pow c 2)))
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(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d)))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (/.f64 (*.f64 a (*.f64 d (neg.f64 d))) 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 (fma.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) a) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (/.f64 (*.f64 a (*.f64 d (neg.f64 d))) 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 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 (*.f64 d d) a)) c)) c)) c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 a (/.f64 (fma.f64 d (/.f64 d (*.f64 c (neg.f64 c))) #s(literal 1 binary64)) c) (*.f64 b (/.f64 d (*.f64 c c))))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 c a)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 (fma.f64 a (/.f64 (fma.f64 (*.f64 c c) (/.f64 c (*.f64 d (neg.f64 d))) c) d) b) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d))) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 c a)) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (fma.f64 b (*.f64 c c) (/.f64 (*.f64 c (*.f64 c (*.f64 c a))) d)) d)) d)) d)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/ (* a c) (pow d 2))
(*.f64 c (/.f64 a (*.f64 d d)))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 b (*.f64 d a))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 b (*.f64 d a))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 b (*.f64 d a))))
(/ (* a c) (pow d 2))
(*.f64 c (/.f64 a (*.f64 d d)))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 b (*.f64 d a))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 b (*.f64 d a))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 b (*.f64 d a))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/ (* a c) (pow d 2))
(*.f64 c (/.f64 a (*.f64 d d)))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(/ (* a c) (pow d 2))
(*.f64 c (/.f64 a (*.f64 d d)))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 c d))))
(/ (* a c) (pow d 2))
(*.f64 c (/.f64 a (*.f64 d d)))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ (* a c) (pow d 2))
(*.f64 c (/.f64 a (*.f64 d d)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(/ b d)
(/.f64 b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 b (/.f64 (*.f64 c a) (*.f64 b (*.f64 d d))) (/.f64 b d))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 b (/.f64 (*.f64 c a) (*.f64 b (*.f64 d d))) (/.f64 b d))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 b (/.f64 (*.f64 c a) (*.f64 b (*.f64 d d))) (/.f64 b d))
(/ b d)
(/.f64 b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 b (/.f64 (*.f64 c a) (*.f64 b (*.f64 d d))) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 b (/.f64 (*.f64 c a) (*.f64 b (*.f64 d d))) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 b (/.f64 (*.f64 c a) (*.f64 b (*.f64 d d))) (/.f64 b d))
b
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(/ (* a c) d)
(*.f64 c (/.f64 a d))
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(/ (* a c) d)
(*.f64 c (/.f64 a d))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
b
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(/ (* a c) d)
(*.f64 c (/.f64 a d))
(* c (+ (/ a d) (/ b c)))
(*.f64 c (+.f64 (/.f64 b c) (/.f64 a d)))
(* c (+ (/ a d) (/ b c)))
(*.f64 c (+.f64 (/.f64 b c) (/.f64 a d)))
(* c (+ (/ a d) (/ b c)))
(*.f64 c (+.f64 (/.f64 b c) (/.f64 a d)))
(/ (* a c) d)
(*.f64 c (/.f64 a d))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 c (+.f64 (/.f64 b c) (/.f64 a d)))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 c (+.f64 (/.f64 b c) (/.f64 a d)))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 c (+.f64 (/.f64 b c) (/.f64 a d)))
(/ (* a c) d)
(*.f64 c (/.f64 a d))
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 b d (*.f64 c a)) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 b d (*.f64 c a)) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 b d (*.f64 c a)) d)
b
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
b
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(/ (* a c) d)
(*.f64 c (/.f64 a d))
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
(+ b (/ (* a c) d))
(fma.f64 c (/.f64 a d) b)
b
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 b d)) b)
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 b d)) b)
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 (*.f64 b a) (/.f64 c (*.f64 b d)) b)
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(fma.f64 (neg.f64 b) (*.f64 a (/.f64 c (*.f64 b (neg.f64 d)))) b)
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(fma.f64 (neg.f64 b) (*.f64 a (/.f64 c (*.f64 b (neg.f64 d)))) b)
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(fma.f64 (neg.f64 b) (*.f64 a (/.f64 c (*.f64 b (neg.f64 d)))) b)

rewrite228.0ms (3.2%)

Memory
46.0MiB live, 345.9MiB allocated
Rules
6 200×lower-fma.f32
6 196×lower-fma.f64
4 844×lower-*.f32
4 834×lower-*.f64
4 106×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038234
055231
1195222
21291222
08378213
Stop Event
iter limit
node limit
iter limit
Counts
19 → 384
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 c b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c))
(/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c)
(fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))
(/.f64 #s(literal 1 binary64) c)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 a c))
(*.f64 a c)
#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))
(/.f64 c (/.f64 d a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d))
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d)
#s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 b c)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 b (neg.f64 c)))
(neg.f64 (neg.f64 (/.f64 b c)))
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(/.f64 b c)
(/.f64 (/.f64 b c) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) b))
(/.f64 (neg.f64 b) (neg.f64 c))
(/.f64 (neg.f64 (/.f64 b c)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) c)) (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(pow.f64 (/.f64 c b) #s(literal -1 binary64))
(pow.f64 (/.f64 b c) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal -1/2 binary64))
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(neg.f64 (neg.f64 (fma.f64 c c (*.f64 d d))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (fma.f64 c c (*.f64 c d)) (-.f64 (*.f64 c c) (*.f64 c d)))) (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 (fma.f64 c c (*.f64 d d)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))))
(/.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 c c) (*.f64 c c))))
(/.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (fma.f64 c c (*.f64 c d)) (-.f64 (*.f64 c c) (*.f64 c d)))))
(/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (+.f64 c d) (-.f64 c d)))
(/.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 c c) (*.f64 c c)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (fma.f64 c c (*.f64 c d)) (-.f64 (*.f64 c c) (*.f64 c d))))))
(/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (+.f64 d c) (-.f64 d c)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 c c) (*.f64 c c))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (fma.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
(*.f64 (fma.f64 c c (*.f64 d d)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 c c (*.f64 d d))))
(*.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 c c) (*.f64 c c)))))
(*.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (fma.f64 c c (*.f64 c d)) (-.f64 (*.f64 c c) (*.f64 c d))))))
(*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))
(*.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 c c) (*.f64 c c))))))
(*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))
(*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (+.f64 c d)) (+.f64 c d))
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 c a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 c (neg.f64 d)) a))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 d a))) (*.f64 (/.f64 c (neg.f64 d)) a))
(neg.f64 (*.f64 (/.f64 c (neg.f64 d)) a))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (*.f64 c a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d c) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c d)))
(/.f64 c (/.f64 d a))
(/.f64 a (/.f64 d c))
(/.f64 (*.f64 c a) d)
(/.f64 (/.f64 c d) (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 c a))))
(/.f64 (neg.f64 c) (neg.f64 (/.f64 d a)))
(/.f64 (neg.f64 a) (neg.f64 (/.f64 d c)))
(/.f64 (/.f64 a d) (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 c (neg.f64 a)) (neg.f64 d))
(/.f64 (neg.f64 (/.f64 c d)) (neg.f64 (/.f64 #s(literal 1 binary64) a)))
(/.f64 (neg.f64 (*.f64 c (neg.f64 a))) d)
(pow.f64 (/.f64 d (*.f64 c a)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 c (/.f64 a d)))
(*.f64 c (/.f64 a d))
(*.f64 a (/.f64 c d))
(*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 c d) a)
(*.f64 (*.f64 c (/.f64 a d)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 c (neg.f64 d)) a))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d (*.f64 c a)))))
(*.f64 (neg.f64 c) (neg.f64 (/.f64 a d)))
(*.f64 (/.f64 a d) c)
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c a))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 c (/.f64 #s(literal 1 binary64) a)))
(*.f64 (*.f64 c (neg.f64 a)) (/.f64 #s(literal -1 binary64) d))
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) a))))
(*.f64 (/.f64 c (neg.f64 d)) (neg.f64 a))
(*.f64 (/.f64 c (neg.f64 d)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)))
(*.f64 (/.f64 c (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 (neg.f64 c) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)) (/.f64 c (/.f64 #s(literal 1 binary64) a)))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 c (neg.f64 d)))
(*.f64 (pow.f64 (/.f64 d (*.f64 c a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (*.f64 c a)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) d))
(exp.f64 (*.f64 (log.f64 (/.f64 d #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) (neg.f64 d)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) (neg.f64 d)))
(neg.f64 (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) (neg.f64 d)))
(/.f64 #s(literal 1 binary64) (/.f64 d #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))))))
(/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))))))
(/.f64 (neg.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))) (neg.f64 d))
(pow.f64 (/.f64 d #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) d))
(*.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) d) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) (neg.f64 d)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))))))
(*.f64 (neg.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))) (/.f64 #s(literal -1 binary64) d))
(*.f64 (/.f64 #s(literal 1 binary64) d) #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (pow.f64 (/.f64 d #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))))
(neg.f64 (neg.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))))
#s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))))
(*.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))))

eval126.0ms (1.8%)

Memory
12.8MiB live, 269.0MiB allocated
Compiler

Compiled 17 443 to 1 284 computations (92.6% saved)

prune155.0ms (2.1%)

Memory
-30.6MiB live, 277.7MiB allocated
Pruning

24 alts after pruning (13 fresh and 11 done)

PrunedKeptTotal
New1 07461 080
Fresh5712
Picked055
Done066
Total1 079241 103
Accuracy
100.0%
Counts
1 103 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.7%
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
37.7%
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 b d (*.f64 c a))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
31.9%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
22.6%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
23.1%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
30.3%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
44.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) #s(approx (+ (* a c) (* b d)) (*.f64 b d))))
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 d (/.f64 b c) a) c))
53.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c))
53.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) a))) c))
23.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
25.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
26.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d))
25.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) 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))
21.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 d #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))) #s(literal -1/2 binary64))))
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))
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))
45.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))))
22.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ 1 (/ c b))) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
Compiler

Compiled 764 to 278 computations (63.6% saved)

regimes75.0ms (1%)

Memory
-3.4MiB live, 35.7MiB allocated
Counts
41 → 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ 1 (/ c b))) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
#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 a c) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 b d (*.f64 c a))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) 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 (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.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 c c (*.f64 d d)) #s(approx (+ (* a c) (* b d)) (*.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 #s(literal 1 binary64) (/.f64 c b)) a) c))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) a))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 d #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d #s(approx (+ (* a (/ c d)) b) (*.f64 c (/.f64 a d)))) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 d (fma.f64 c (/.f64 a d) b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 c (/.f64 a d) b)) #s(literal -1/2 binary64))))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) 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

5 calls:

28.0ms
b
11.0ms
c
11.0ms
d
11.0ms
a
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
88.9%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)

regimes11.0ms (0.1%)

Memory
22.6MiB live, 22.6MiB allocated
Counts
33 → 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ 1 (/ c b))) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
#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 a c) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 b d (*.f64 c a))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) 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 (+ (* a (/ c d)) b) (/.f64 c (/.f64 d a))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) 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)

regimes11.0ms (0.2%)

Memory
-21.8MiB live, 17.6MiB allocated
Counts
28 → 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ 1 (/ c b))) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
#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 a c) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 b d (*.f64 c a))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Calls

1 calls:

10.0ms
d
Results
AccuracySegmentsBranch
86.1%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ 1 (/ c b))) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
#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 a c) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 b d (*.f64 c a))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Calls

1 calls:

8.0ms
d
Results
AccuracySegmentsBranch
85.8%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes251.0ms (3.5%)

Memory
-9.4MiB live, 28.9MiB allocated
Counts
26 → 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ 1 (/ c b))) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
#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 a c) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 b d (*.f64 c a))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) 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 (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Calls

3 calls:

235.0ms
c
7.0ms
d
7.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
63.8%4(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
74.1%3c
78.5%4d
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes19.0ms (0.3%)

Memory
-9.6MiB live, 26.7MiB allocated
Counts
25 → 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ 1 (/ c b))) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
#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 a c) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 b d (*.f64 c a))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
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 (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))))
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
Calls

2 calls:

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

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.2%)

Memory
29.2MiB live, 29.2MiB 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ 1 (/ c b))) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
#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 a c) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 a d) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 b d (*.f64 c a))) #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 (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
Calls

2 calls:

7.0ms
d
7.0ms
b
Results
AccuracySegmentsBranch
58.1%3b
71.1%4d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
14 → 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ 1 (/ c b))) a) c) (*.f64 b (/.f64 d (*.f64 c c)))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c)))))
#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 a c) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))) (/.f64 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:

4.0ms
d
Results
AccuracySegmentsBranch
69.4%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory
-24.1MiB live, 14.5MiB 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:

3.0ms
d
1.0ms
a
1.0ms
c
1.0ms
b
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)

bsearch26.0ms (0.4%)

Memory
-15.7MiB live, 31.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.0205703475248028e+62
1.8898549003181797e+75
6.0ms
8.90041696912321e-64
1.5974673683557658e-63
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Samples
16.0ms224×0valid
Compiler

Compiled 498 to 298 computations (40.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (48.4% of total)
ival-div: 3.0ms (29% of total)
ival-add: 2.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
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 (65.9% of total)
ival-div: 1.0ms (16.5% of total)
ival-add: 1.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2220229484737679e-54
4.775574817130868e-42
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Compiler

Compiled 302 to 178 computations (41.1% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2220229484737679e-54
4.775574817130868e-42
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Compiler

Compiled 302 to 178 computations (41.1% saved)

bsearch31.0ms (0.4%)

Memory
-7.9MiB live, 30.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.2220229484737679e-54
4.775574817130868e-42
15.0ms
7.49108411690235e-254
8.954925277907095e-244
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Samples
19.0ms272×0valid
Compiler

Compiled 592 to 338 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (65.8% of total)
ival-div: 2.0ms (16.4% of total)
ival-add: 2.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory
19.7MiB live, 19.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
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
9.0ms144×0valid
Compiler

Compiled 837 to 483 computations (42.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (54.5% of total)
ival-div: 1.0ms (18.2% of total)
ival-add: 1.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB 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)

bsearch16.0ms (0.2%)

Memory
-22.7MiB live, 15.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
9.274398029768854e-58
1.2220229484737679e-54
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Samples
11.0ms128×0valid
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 (61.1% of total)
ival-div: 1.0ms (20.4% of total)
ival-add: 1.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify9.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088770
192770
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 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) 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 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.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 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) 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 (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) 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 (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)))) (if (<=.f64 d #s(literal 440000000000000046028234249893677914931907083605744019009752390047171670141116220716511817951816905848431954397993882730663713140043877941103315175780384768 binary64)) (/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d 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 (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.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 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) 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 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 d #s(literal 1850000000000000054922487932245313229099284413632074640947501388300319457280 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.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 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.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 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) 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 (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) 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 (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) 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 (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 c c)))) (if (<=.f64 d #s(literal 440000000000000046028234249893677914931907083605744019009752390047171670141116220716511817951816905848431954397993882730663713140043877941103315175780384768 binary64)) (/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d 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 8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 c c)))) (if (<=.f64 d #s(literal 440000000000000046028234249893677914931907083605744019009752390047171670141116220716511817951816905848431954397993882730663713140043877941103315175780384768 binary64)) (/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d 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 (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 c a)) (*.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 (/ b c)) a) c) (/.f64 (fma.f64 b d (*.f64 a c)) (*.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))

soundness748.0ms (10.4%)

Memory
2.0MiB live, 477.3MiB allocated
Rules
9 014×lower-fma.f32
9 006×lower-fma.f64
7 676×lower-fma.f64
7 676×lower-fma.f32
7 160×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861356
16181346
218921322
357631320
081851190
02877902
19927852
231937732
372787732
082857144
032184
049182
1162182
21095182
08663182
06399532
121779305
080758616
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 677 to 283 computations (58.2% saved)

preprocess86.0ms (1.2%)

Memory
11.1MiB live, 157.8MiB allocated
Compiler

Compiled 758 to 194 computations (74.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...