Complex division, imag part

Time bar (total: 8.3s)

analyze34.0ms (0.4%)

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 20 to 12 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 11.0ms (69.8% of total)
ival-sub: 2.0ms (12.7% of total)
ival-add: 2.0ms (12.7% of total)
ival-div: 1.0ms (6.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.9s (22.6%)

Results
1.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 720.0ms
ival-mult: 566.0ms (78.6% of total)
ival-div: 56.0ms (7.8% of total)
ival-sub: 47.0ms (6.5% of total)
ival-add: 40.0ms (5.6% of total)
const: 8.0ms (1.1% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess360.0ms (4.3%)

Algorithm
egg-herbie
Rules
1255×fma-define
795×fma-neg
518×div-sub
436×unsub-neg
415×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0701024
1237992
2469992
31150992
43391992
55801992
66625992
76734992
86754992
96770992
107716992
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 (neg.f64 b) c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b (neg.f64 c)) (*.f64 a d)) (+.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))) (+.f64 (*.f64 c c) (*.f64 (neg.f64 d) (neg.f64 d))))
(neg.f64 (/.f64 (-.f64 (*.f64 b c) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 b) c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(neg.f64 (/.f64 (-.f64 (*.f64 b (neg.f64 c)) (*.f64 a d)) (+.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 d d))))
(neg.f64 (/.f64 (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))) (+.f64 (*.f64 c c) (*.f64 (neg.f64 d) (neg.f64 d)))))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b a) (*.f64 c d)) (+.f64 (*.f64 a a) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (+.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (+.f64 (*.f64 b b) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 d c) (*.f64 a b)) (+.f64 (*.f64 c c) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (+.f64 (*.f64 d d) (*.f64 c c)))
Outputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b c (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b c (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(/.f64 (-.f64 (*.f64 (neg.f64 b) c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b (neg.f64 c)) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 (fma.f64 b c (*.f64 a d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 (fma.f64 b c (*.f64 a d))) (fma.f64 d d (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b (neg.f64 c)) (*.f64 a d)) (+.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b (neg.f64 c)) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 (fma.f64 b c (*.f64 a d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 (fma.f64 b c (*.f64 a d))) (fma.f64 d d (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))) (+.f64 (*.f64 c c) (*.f64 (neg.f64 d) (neg.f64 d))))
(/.f64 (+.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b c (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b c (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(neg.f64 (/.f64 (-.f64 (*.f64 b c) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(/.f64 (-.f64 (*.f64 b (neg.f64 c)) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 (fma.f64 b c (*.f64 a d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 (fma.f64 b c (*.f64 a d))) (fma.f64 d d (*.f64 c c)))
(neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 b) c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(/.f64 (+.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b c (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b c (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(neg.f64 (/.f64 (-.f64 (*.f64 b (neg.f64 c)) (*.f64 a d)) (+.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 d d))))
(/.f64 (+.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b c (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b c (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(neg.f64 (/.f64 (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))) (+.f64 (*.f64 c c) (*.f64 (neg.f64 d) (neg.f64 d)))))
(/.f64 (-.f64 (*.f64 b (neg.f64 c)) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 (fma.f64 b c (*.f64 a d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (neg.f64 (fma.f64 b c (*.f64 a d))) (fma.f64 d d (*.f64 c c)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 c a) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b (neg.f64 d) (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b a) (*.f64 c d)) (+.f64 (*.f64 a a) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b a) (*.f64 c d)) (fma.f64 a a (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (+.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 a a)))
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 c c (*.f64 a a)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (+.f64 (*.f64 b b) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 b b (*.f64 d d)))
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 b b (*.f64 d d)))
(/.f64 (-.f64 (*.f64 d c) (*.f64 a b)) (+.f64 (*.f64 c c) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 c d) (*.f64 b a)) (fma.f64 c c (*.f64 b b)))
(/.f64 (-.f64 (*.f64 c d) (*.f64 b a)) (fma.f64 b b (*.f64 c c)))
(/.f64 (fma.f64 b (neg.f64 a) (*.f64 c d)) (fma.f64 b b (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (+.f64 (*.f64 d d) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b d (*.f64 c (neg.f64 a))) (fma.f64 d d (*.f64 c c)))

explain101.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1120-2(-2.1017031887356795e-77 1.5274121928034835e-263 -1.130959916605728e-104 -4.0149488830360055e-234)(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
20-0-(-.f64 (*.f64 b c) (*.f64 a d))
00-0-(*.f64 a d)
00-0-b
00-0-c
00-0-(*.f64 b c)
00-0-d
00-0-(*.f64 c c)
00-0-(*.f64 d d)
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
Results
55.0ms512×0valid
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 16.0ms (63.8% of total)
ival-sub: 3.0ms (12% of total)
ival-div: 3.0ms (12% of total)
ival-add: 3.0ms (12% of total)
const: 1.0ms (4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 32 to 16 computations (50% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
58.2%
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))
58.2%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 37 to 21 computations (43.2% saved)

localize176.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 d)
cost-diff0
(*.f64 a (neg.f64 d))
cost-diff0
(fma.f64 b c (*.f64 a (neg.f64 d)))
cost-diff0
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))
cost-diff0
(*.f64 d d)
cost-diff0
(*.f64 c c)
cost-diff0
(*.f64 a d)
cost-diff0
(*.f64 b c)
accuracy100.0%
(*.f64 a (neg.f64 d))
accuracy100.0%
(neg.f64 d)
accuracy99.6%
(fma.f64 b c (*.f64 a (neg.f64 d)))
accuracy58.7%
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))
accuracy100.0%
(*.f64 a d)
accuracy100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy99.4%
(-.f64 (*.f64 b c) (*.f64 a d))
accuracy58.7%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Rules
652×fma-define
499×fma-neg
318×times-frac
113×div-sub
109×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025364
145364
268364
3108364
4183364
5313364
6597364
71028364
81631364
92631364
103122364
113174364
123234364
133234364
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))
(fma.f64 b c (*.f64 a (neg.f64 d)))
b
c
(*.f64 a (neg.f64 d))
a
(neg.f64 d)
d
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
Outputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (fma.f64 c c (*.f64 d d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 b c (*.f64 d (neg.f64 a)))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (fma.f64 c c (*.f64 d d)))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 b c (*.f64 d (neg.f64 a)))
b
c
(*.f64 a (neg.f64 d))
(*.f64 d (neg.f64 a))
a
(neg.f64 d)
d
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(*.f64 c c)
Results
50.0ms256×0valid
Compiler

Compiled 90 to 17 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 10.0ms (39.9% of total)
ival-fma: 6.0ms (23.9% of total)
ival-div: 3.0ms (12% of total)
ival-neg: 3.0ms (12% of total)
ival-sub: 1.0ms (4% of total)
ival-add: 1.0ms (4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series73.0ms (0.9%)

Counts
11 → 270
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))>
#<alt (-.f64 (*.f64 b c) (*.f64 a d))>
#<alt (+.f64 (*.f64 c c) (*.f64 d d))>
#<alt (*.f64 a d)>
#<alt (/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))>
#<alt (fma.f64 b c (*.f64 a (neg.f64 d)))>
#<alt (neg.f64 d)>
#<alt (*.f64 a (neg.f64 d))>
#<alt (*.f64 b c)>
#<alt (*.f64 c c)>
#<alt (*.f64 d d)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 (*.f64 a d) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 (*.f64 a d) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 (*.f64 a d) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 c (+.f64 (/.f64 b (pow.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 3 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (*.f64 c (+.f64 (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 d #s(literal 3 binary64)))))) (/.f64 b (pow.f64 d #s(literal 2 binary64))))))>
#<alt (/.f64 b c)>
#<alt (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)>
#<alt (/.f64 (+.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))))) c)>
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#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 (*.f64 b c) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 (*.f64 b c) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 (*.f64 b c) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (/.f64 b c)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))>
#<alt (+.f64 (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 3 binary64)))))) (/.f64 b c))>
#<alt (+.f64 (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 c #s(literal 2 binary64)))) (*.f64 d (-.f64 (/.f64 (*.f64 a d) (pow.f64 c #s(literal 4 binary64))) (/.f64 b (pow.f64 c #s(literal 3 binary64))))))) (/.f64 b c))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (+.f64 (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 b c) d))) d)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 (*.f64 b c) d))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) d))) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 b c) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) d)) d))) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b (pow.f64 c #s(literal 3 binary64))) d) (*.f64 a (pow.f64 c #s(literal 2 binary64)))) d)) (*.f64 b c)) d))) d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c))>
#<alt (*.f64 b c)>
#<alt (*.f64 b (+.f64 c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) b))))>
#<alt (*.f64 b (+.f64 c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) b))))>
#<alt (*.f64 b (+.f64 c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) b))))>
#<alt (*.f64 b c)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 a d) b))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 a d) b))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 a d) b))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c))>
#<alt (*.f64 b c)>
#<alt (*.f64 c (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))>
#<alt (*.f64 c (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))>
#<alt (*.f64 c (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))>
#<alt (*.f64 b c)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a d) c))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a d) c))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a d) c))))>
#<alt (*.f64 b c)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 b c) a)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 b c) a)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 b c) a)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 d (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) a)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 d (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) a)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 d (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) a)))))>
#<alt (*.f64 b c)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)))>
#<alt (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)))>
#<alt (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 a (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 a (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 a (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) d)))))>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a d))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (pow.f64 d #s(literal 2 binary64))>
Calls

81 calls:

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

rewrite313.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
920×log1p-expm1-u
920×expm1-log1p-u
297×fma-neg
139×add-exp-log
139×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025273
1385238
24625238
Stop Event
node limit
Counts
11 → 396
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 a d)
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(neg.f64 d)
(*.f64 a (neg.f64 d))
(*.f64 b c)
(*.f64 c c)
(*.f64 d d)
Outputs
(+.f64 (*.f64 b (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(-.f64 (*.f64 b (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 b c (*.f64 a d)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b c (*.f64 a d))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 b c (*.f64 a d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b c (*.f64 a d))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 b c (*.f64 a d))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (/.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (*.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (hypot.f64 c d)))
(*.f64 (neg.f64 (fma.f64 b c (*.f64 a d))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (fma.f64 b c (*.f64 a d)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (/.f64 (fma.f64 b c (*.f64 a d)) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b c (*.f64 a d))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 b c (*.f64 a d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b c (*.f64 a d))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (cbrt.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b c (*.f64 a d))) #s(literal 2 binary64)) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 b c (*.f64 a d))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (cbrt.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(pow.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (hypot.f64 c d)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 b c (*.f64 a d))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 b c (*.f64 a d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
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(-.f64 (*.f64 b c) (*.f64 a d))
(-.f64 (*.f64 b c) (-.f64 (*.f64 a d) (fma.f64 d a (*.f64 a d))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b c (*.f64 a d)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 2 binary64)) (*.f64 b (*.f64 c (*.f64 a d))))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 2 binary64)) (*.f64 b (*.f64 c (*.f64 a d))))))
(-.f64 (/.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) (fma.f64 b c (*.f64 a d))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 b c (*.f64 a d))))
(*.f64 (fma.f64 b c (*.f64 a d)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b c (*.f64 a d)))
(*.f64 (cbrt.f64 (fma.f64 b c (*.f64 a d))) (pow.f64 (cbrt.f64 (fma.f64 b c (*.f64 a d))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b c (*.f64 a d))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 b c (*.f64 a d))))
(*.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b c (*.f64 a d))))
(*.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (sqrt.f64 (fma.f64 b c (*.f64 a d))))
(*.f64 (+.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 2 binary64)) (*.f64 b (*.f64 c (*.f64 a d))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 b c)) (sqrt.f64 (*.f64 a d))) (-.f64 (sqrt.f64 (*.f64 b c)) (sqrt.f64 (*.f64 a d))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 2 binary64)) (*.f64 b (*.f64 c (*.f64 a d)))) (+.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b c (*.f64 a d)) (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 2 binary64)) (fma.f64 b c (*.f64 a d)))
(/.f64 (+.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 2 binary64)) (*.f64 b (*.f64 c (*.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (*.f64 b (*.f64 c (*.f64 a d))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 2 binary64)) (*.f64 b (*.f64 c (*.f64 a d))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 2 binary64))) (neg.f64 (fma.f64 b c (*.f64 a d))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 3 binary64)) (pow.f64 (fma.f64 d a (*.f64 a d)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 d a (*.f64 a d)) (fma.f64 d a (*.f64 a d))) (*.f64 (fma.f64 b c (*.f64 a d)) (fma.f64 d a (*.f64 a d))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 2 binary64)) (*.f64 (fma.f64 d a (*.f64 a d)) (fma.f64 d a (*.f64 a d)))) (-.f64 (fma.f64 b c (*.f64 a d)) (fma.f64 d a (*.f64 a d))))
(pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 b c (*.f64 a d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 b c (*.f64 a d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 b c (*.f64 a d)))))
(cbrt.f64 (pow.f64 (fma.f64 b c (*.f64 a d)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 b c (*.f64 a d))))
(log1p.f64 (expm1.f64 (fma.f64 b c (*.f64 a d))))
(exp.f64 (log.f64 (fma.f64 b c (*.f64 a d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b c (*.f64 a d))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) d)
(-.f64 #s(literal 0 binary64) d)
(-.f64 (exp.f64 (log1p.f64 d)) #s(literal 1 binary64))
(*.f64 d #s(literal 1 binary64))
(*.f64 d #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) d)
(*.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (cbrt.f64 d))
(*.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 d)))
(*.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 d) (sqrt.f64 d))
(*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d)))
(*.f64 #s(literal -1 binary64) d)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 d))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 d #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 d))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 d))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 d)) (sqrt.f64 d))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 d #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) d))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 2 binary64))) d)
(pow.f64 d #s(literal 1 binary64))
(pow.f64 (pow.f64 d #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 d) #s(literal 3 binary64))
(pow.f64 (pow.f64 d #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 d) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 d #s(literal 2 binary64)))
(fabs.f64 d)
(log.f64 (exp.f64 d))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 d)))
(cbrt.f64 (pow.f64 d #s(literal 3 binary64)))
d
(expm1.f64 (log1p.f64 d))
(log1p.f64 (expm1.f64 d))
(exp.f64 (log.f64 d))
(exp.f64 (*.f64 (log.f64 d) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a d))) #s(literal 1 binary64))
(pow.f64 (*.f64 a d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a d)) #s(literal 2 binary64))
(neg.f64 (*.f64 a d))
(sqrt.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 d) a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a d))))
(cbrt.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 a d)))
(log1p.f64 (expm1.f64 (*.f64 a d)))
(exp.f64 (log.f64 (*.f64 a d)))
(exp.f64 (*.f64 (log.f64 (*.f64 a d)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b c))) #s(literal 1 binary64))
(pow.f64 (*.f64 b c) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 b c)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 b c)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 c) b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b c))))
(cbrt.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 b c)))
(log1p.f64 (expm1.f64 (*.f64 b c)))
(exp.f64 (log.f64 (*.f64 b c)))
(exp.f64 (*.f64 (log.f64 (*.f64 b c)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 c #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 (pow.f64 c #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 c #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 c #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 c #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 c #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 c #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 c #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 c #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 c)))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 c)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 d #s(literal 2 binary64))
(pow.f64 (pow.f64 d #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 d #s(literal 6 binary64)) #s(literal 1/3 binary64))
(neg.f64 (pow.f64 d #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 d #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 d #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 d #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 d #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 d #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 d #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 d)))
(exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 d)) #s(literal 1 binary64)))

eval93.0ms (1.1%)

Compiler

Compiled 13481 to 1187 computations (91.2% saved)

prune72.0ms (0.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New67616692
Fresh000
Picked112
Done000
Total67717694
Accuracy
98.0%
Counts
694 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.3%
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
20.9%
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (hypot.f64 c d)) #s(literal 2 binary64))
36.2%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 b c)) #s(literal 2 binary64)) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
58.2%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
51.1%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (sqrt.f64 (pow.f64 c #s(literal 4 binary64))) (*.f64 d d)))
53.3%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)
52.0%
(/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)
35.2%
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d)))
51.6%
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
41.2%
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
40.5%
(/.f64 b c)
60.6%
(-.f64 (*.f64 b (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
39.5%
(+.f64 (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 3 binary64)))))) (/.f64 b c))
49.0%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))
47.4%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64))))
41.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d)))
43.8%
(*.f64 #s(literal -1 binary64) (/.f64 a d))
Compiler

Compiled 593 to 371 computations (37.4% saved)

localize397.0ms (4.8%)

Algorithm
egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d))
cost-diff0
(hypot.f64 c d)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d)))
cost-diff0
(*.f64 a d)
cost-diff0
(/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))
cost-diff64
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64))))
cost-diff6464
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))
cost-diff0
(/.f64 (*.f64 b c) d)
cost-diff64
(*.f64 #s(literal -1 binary64) a)
cost-diff128
(+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d))
cost-diff128
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)
cost-diff0
(/.f64 b c)
cost-diff0
(/.f64 b (hypot.f64 c d))
cost-diff0
(hypot.f64 c d)
cost-diff0
(/.f64 c (hypot.f64 c d))
cost-diff13184
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
accuracy100.0%
(fma.f64 b c (*.f64 a d))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d)))
accuracy73.8%
(/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d))
accuracy100.0%
(*.f64 a d)
accuracy100.0%
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64))))
accuracy95.6%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))
accuracy81.5%
(/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))
accuracy100.0%
(*.f64 b c)
accuracy100.0%
(*.f64 #s(literal -1 binary64) a)
accuracy98.5%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)
accuracy91.1%
(/.f64 (*.f64 b c) d)
accuracy100.0%
(/.f64 b c)
accuracy100.0%
(/.f64 b (hypot.f64 c d))
accuracy97.7%
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
accuracy93.8%
(*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
accuracy71.0%
(/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
Rules
1327×fma-define
935×fma-neg
416×distribute-lft-neg-in
390×div-sub
382×times-frac
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
039811
181799
2168787
3451775
4981757
52022751
63502751
74956751
86511751
96819751
106880751
116885751
127633751
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(/.f64 c (hypot.f64 c d))
c
(hypot.f64 c d)
d
(/.f64 b (hypot.f64 c d))
b
(neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
a
(/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 c d) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 b c)
b
c
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)
(+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d))
(*.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
(/.f64 (*.f64 b c) d)
(*.f64 b c)
b
c
d
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64))))
#s(literal -1 binary64)
(/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))
(*.f64 a d)
a
d
(pow.f64 c #s(literal 2 binary64))
c
#s(literal 2 binary64)
(/.f64 b c)
b
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
#s(literal 1 binary64)
(hypot.f64 c d)
c
d
(/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d))
(fma.f64 b c (*.f64 a d))
b
(*.f64 a d)
a
Outputs
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (*.f64 a (neg.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (*.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (neg.f64 a)))
(-.f64 (*.f64 c (/.f64 (/.f64 b (hypot.f64 c d)) (hypot.f64 c d))) (/.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(-.f64 (*.f64 c (/.f64 b (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 d (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (-.f64 (*.f64 c b) (*.f64 d a)))
(/.f64 (fma.f64 c b (*.f64 a (neg.f64 d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 c (hypot.f64 c d))
c
(hypot.f64 c d)
d
(/.f64 b (hypot.f64 c d))
b
(neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 a (neg.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (neg.f64 a))
(*.f64 d (/.f64 a (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(*.f64 d (/.f64 a (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
a
(/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 c d) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 b c)
b
c
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)
(/.f64 (fma.f64 #s(literal -1 binary64) a (*.f64 b (/.f64 c d))) d)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d))
(fma.f64 #s(literal -1 binary64) a (*.f64 b (/.f64 c d)))
(-.f64 (*.f64 b (/.f64 c d)) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(*.f64 #s(literal -1 binary64) a)
(neg.f64 a)
#s(literal -1 binary64)
a
(/.f64 (*.f64 b c) d)
(*.f64 b (/.f64 c d))
(*.f64 c (/.f64 b d))
(*.f64 b c)
(*.f64 c b)
b
c
d
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))
(fma.f64 #s(literal -1 binary64) (*.f64 a (/.f64 d (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))
(-.f64 (/.f64 b c) (*.f64 d (/.f64 a (pow.f64 c #s(literal 2 binary64)))))
(-.f64 (/.f64 b c) (*.f64 a (/.f64 d (pow.f64 c #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 b (/.f64 (*.f64 d a) c)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64))))
(neg.f64 (*.f64 a (/.f64 d (pow.f64 c #s(literal 2 binary64)))))
(*.f64 (neg.f64 a) (/.f64 d (pow.f64 c #s(literal 2 binary64))))
(*.f64 d (/.f64 a (neg.f64 (pow.f64 c #s(literal 2 binary64)))))
(*.f64 (neg.f64 d) (/.f64 a (pow.f64 c #s(literal 2 binary64))))
#s(literal -1 binary64)
(/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))
(*.f64 a (/.f64 d (pow.f64 c #s(literal 2 binary64))))
(*.f64 d (/.f64 a (pow.f64 c #s(literal 2 binary64))))
(*.f64 a d)
(*.f64 d a)
a
d
(pow.f64 c #s(literal 2 binary64))
c
#s(literal 2 binary64)
(/.f64 b c)
b
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 b c (*.f64 d a)) (hypot.f64 c d)))
(/.f64 (/.f64 (fma.f64 c b (*.f64 d a)) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (fma.f64 c b (*.f64 d a)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
#s(literal 1 binary64)
(hypot.f64 c d)
c
d
(/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d))
(/.f64 (fma.f64 b c (*.f64 d a)) (hypot.f64 c d))
(/.f64 (fma.f64 c b (*.f64 d a)) (hypot.f64 c d))
(fma.f64 b c (*.f64 a d))
(fma.f64 b c (*.f64 d a))
(fma.f64 c b (*.f64 d a))
b
(*.f64 a d)
(*.f64 d a)
a
Results
148.0ms256×0valid
Compiler

Compiled 208 to 31 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-hypot: 62.0ms (59.4% of total)
ival-div: 16.0ms (15.3% of total)
ival-mult: 11.0ms (10.5% of total)
ival-fma: 5.0ms (4.8% of total)
ival-pow: 5.0ms (4.8% of total)
ival-add: 2.0ms (1.9% of total)
const: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series104.0ms (1.3%)

Counts
20 → 477
Calls
Call 1
Inputs
#<alt (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))>
#<alt (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))>
#<alt (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))>
#<alt (/.f64 b (hypot.f64 c d))>
#<alt (/.f64 b c)>
#<alt (/.f64 (*.f64 b c) d)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (*.f64 b c)>
#<alt (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64))))>
#<alt (*.f64 a d)>
#<alt (/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d)))>
#<alt (fma.f64 b c (*.f64 a d))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 c d))>
#<alt (/.f64 c (hypot.f64 c d))>
#<alt (hypot.f64 c d)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d))>
Outputs
#<alt (/.f64 d (pow.f64 c #s(literal 2 binary64)))>
#<alt (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 2 binary64)))))>
#<alt (*.f64 d (+.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 2 binary64)))))>
#<alt (*.f64 d (+.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) d)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) d)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) d)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) d)>
#<alt (/.f64 #s(literal 1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) d))>
#<alt (/.f64 #s(literal 1 binary64) d)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) d))>
#<alt (+.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) d))>
#<alt (+.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) d))>
#<alt (/.f64 d (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 d (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 d (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64)))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 d (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 d (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 d (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 d (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64)))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 d (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))>
#<alt (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 a (pow.f64 c #s(literal 2 binary64)))))>
#<alt (*.f64 d (+.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 6 binary64))) (/.f64 a (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 2 binary64)))))>
#<alt (*.f64 d (+.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 8 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 c #s(literal 6 binary64)))))) (/.f64 a (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 2 binary64)))))>
#<alt (/.f64 a d)>
#<alt (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d)>
#<alt (/.f64 (-.f64 (+.f64 a (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d)>
#<alt (/.f64 (-.f64 (+.f64 a (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d)>
#<alt (/.f64 a d)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 a (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))))) d))>
#<alt (/.f64 a d)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a d))>
#<alt (+.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 5 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64))))) (/.f64 a d))>
#<alt (+.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 d #s(literal 5 binary64)))))) (/.f64 a (pow.f64 d #s(literal 3 binary64))))) (/.f64 a d))>
#<alt (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (*.f64 a d)) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 a d) (/.f64 (*.f64 a (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 7 binary64))) (pow.f64 c #s(literal 6 binary64)))) (*.f64 a d)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (*.f64 a d)) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 a d) (/.f64 (*.f64 a (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 7 binary64))) (pow.f64 c #s(literal 6 binary64)))) (*.f64 a d)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
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#<alt (/.f64 c d)>
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#<alt (/.f64 (*.f64 b c) d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) (/.f64 a b))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) (/.f64 a b))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) (/.f64 a b))))>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (/.f64 (*.f64 b c) d)>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c)) (/.f64 b d)))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c)) (/.f64 b d)))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c)) (/.f64 b d)))>
#<alt (/.f64 (*.f64 b c) d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b d)) (/.f64 a c))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b d)) (/.f64 a c))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b d)) (/.f64 a c))))>
#<alt (/.f64 (*.f64 b c) d)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c)) d)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c)) d)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c)) d)>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (*.f64 #s(literal -1 binary64) a)>
Calls

174 calls:

TimeVariablePointExpression
6.0ms
b
@0
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
3.0ms
a
@inf
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))
3.0ms
a
@inf
(/ (* a d) (pow c 2))
3.0ms
c
@0
(+ (* (/ c (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (neg (* a (/ d (pow (sqrt (+ (* c c) (* d d))) 2)))))
3.0ms
d
@inf
(+ (* (/ c (sqrt (+ (* c c) (* d d)))) (/ b (sqrt (+ (* c c) (* d d))))) (neg (* a (/ d (pow (sqrt (+ (* c c) (* d d))) 2)))))

rewrite233.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
289×log1p-expm1-u
289×expm1-log1p-u
282×add-exp-log
282×add-log-exp
282×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039603
1642573
Stop Event
node limit
Counts
20 → 538
Calls
Call 1
Inputs
(/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(/.f64 b (hypot.f64 c d))
(/.f64 b c)
(/.f64 (*.f64 b c) d)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)
(*.f64 #s(literal -1 binary64) a)
(*.f64 b c)
(/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64))))
(*.f64 a d)
(/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d)))
(fma.f64 b c (*.f64 a d))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
(/.f64 c (hypot.f64 c d))
(hypot.f64 c d)
(+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 d) (hypot.f64 c d)) (/.f64 (sqrt.f64 d) (hypot.f64 c d)))
(*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 d) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 4 binary64)))) (/.f64 d (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (hypot.f64 c d)) (/.f64 (cbrt.f64 d) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 d) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 d) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))))
(pow.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 d) (hypot.f64 c d)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) d) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 d) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 a (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) d))
(/.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (*.f64 d a)))
(/.f64 (neg.f64 (*.f64 d a)) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64)))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))
(pow.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 d a)) (hypot.f64 c d)) #s(literal 2 binary64))
(neg.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 d (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))
(-.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))) (sqrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))
(pow.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 (*.f64 d a) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (hypot.f64 c d)))) #s(literal 1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(*.f64 #s(literal 1 binary64) (/.f64 b (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (/.f64 b (sqrt.f64 (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 b (hypot.f64 c d))) (sqrt.f64 (/.f64 b (hypot.f64 c d))))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 b) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 b) #s(literal 1 binary64)) (/.f64 (sqrt.f64 b) (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 b) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 b) (cbrt.f64 (hypot.f64 c d))))
(pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 b (hypot.f64 c d))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 c d) b) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 b (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 b (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 b (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 b (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (hypot.f64 c d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b c))) #s(literal 1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
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(sqrt.f64 (pow.f64 (fma.f64 c b (*.f64 d a)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 c b (*.f64 d a))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 c b (*.f64 d a)))))
(cbrt.f64 (pow.f64 (fma.f64 c b (*.f64 d a)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 c b (*.f64 d a))))
(log1p.f64 (expm1.f64 (fma.f64 c b (*.f64 d a))))
(exp.f64 (log.f64 (fma.f64 c b (*.f64 d a))))
(exp.f64 (*.f64 (log.f64 (fma.f64 c b (*.f64 d a))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 c d))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal -1 binary64)))
(pow.f64 (hypot.f64 c d) #s(literal -1 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 c d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 c (hypot.f64 c d)))) #s(literal 1 binary64))
(*.f64 c (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(*.f64 #s(literal 1 binary64) (/.f64 c (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 c (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (/.f64 c (sqrt.f64 (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d))) (sqrt.f64 (/.f64 c (hypot.f64 c d))))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 c) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 c) #s(literal 1 binary64)) (/.f64 (sqrt.f64 c) (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (/.f64 c (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 c (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 c) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 c) (cbrt.f64 (hypot.f64 c d))))
(pow.f64 (/.f64 c (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 c (hypot.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 c d) c) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 c (hypot.f64 c d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 c (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 c (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 c (hypot.f64 c d)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 c (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 c (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 c (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 c (hypot.f64 c d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 c d))) #s(literal 1 binary64))
(*.f64 (hypot.f64 c d) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 c d))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 c d)))
(*.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))))
(/.f64 (hypot.f64 c d) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(/.f64 (neg.f64 (hypot.f64 c d)) #s(literal -1 binary64))
(pow.f64 (hypot.f64 c d) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 c d))
(log.f64 (exp.f64 (hypot.f64 c d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 c d))))
(cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 c d)))
(log1p.f64 (expm1.f64 (hypot.f64 c d)))
(exp.f64 (log.f64 (hypot.f64 c d)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) #s(literal 1 binary64)))
(-.f64 (*.f64 b (/.f64 c d)) a)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b (/.f64 c d) a))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 a (*.f64 b (/.f64 c d)))) (/.f64 (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 2 binary64)) (-.f64 a (*.f64 b (/.f64 c d)))))
(*.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c d) a))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 b (/.f64 c d) a)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 b (/.f64 c d) a)))
(*.f64 (sqrt.f64 (fma.f64 b (/.f64 c d) a)) (sqrt.f64 (fma.f64 b (/.f64 c d) a)))
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 2 binary64)) (*.f64 a (*.f64 b (/.f64 c d)))))))
(*.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 a (*.f64 b (/.f64 c d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 2 binary64)) (*.f64 a (*.f64 b (/.f64 c d))))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (*.f64 b (/.f64 c d))) (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 2 binary64)) (*.f64 a (*.f64 b (/.f64 c d))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 2 binary64))) (-.f64 a (*.f64 b (/.f64 c d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (-.f64 (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 2 binary64)) (*.f64 a (*.f64 b (/.f64 c d)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (*.f64 b (/.f64 c d)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 b (/.f64 c d)) a))))
(/.f64 (-.f64 (pow.f64 (*.f64 b (/.f64 c d)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 b (/.f64 c d) a))
(pow.f64 (fma.f64 b (/.f64 c d) a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 b (/.f64 c d) a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 b (/.f64 c d) a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b (/.f64 c d) a)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 b (/.f64 c d) a) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 b (/.f64 c d) a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 b (/.f64 c d) a))))
(cbrt.f64 (pow.f64 (fma.f64 b (/.f64 c d) a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 b (/.f64 c d) a)))
(log1p.f64 (expm1.f64 (fma.f64 b (/.f64 c d) a)))
(exp.f64 (log.f64 (fma.f64 b (/.f64 c d) a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 b (/.f64 c d) a)) #s(literal 1 binary64)))
(fma.f64 a #s(literal -1 binary64) (*.f64 b (/.f64 c d)))
(fma.f64 b (/.f64 c d) a)
(fma.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d) a)
(fma.f64 #s(literal -1 binary64) a (*.f64 b (/.f64 c d)))
(fma.f64 #s(literal 1 binary64) a (*.f64 b (/.f64 c d)))
(fma.f64 #s(literal 1 binary64) (*.f64 b (/.f64 c d)) a)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 c d))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 b (/.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (*.f64 b (/.f64 c d)))
(fma.f64 (sqrt.f64 (*.f64 b (/.f64 c d))) (sqrt.f64 (*.f64 b (/.f64 c d))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 b (/.f64 c d)))

eval228.0ms (2.7%)

Compiler

Compiled 27694 to 3391 computations (87.8% saved)

prune180.0ms (2.2%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1225191244
Fresh7411
Picked415
Done101
Total1237241261
Accuracy
100.0%
Counts
1261 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
94.9%
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
21.2%
(pow.f64 (/.f64 d (fma.f64 b (/.f64 c d) a)) #s(literal -1 binary64))
21.9%
(/.f64 (/.f64 (*.f64 b c) d) d)
53.3%
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
54.7%
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
23.1%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))) d)
53.2%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d))) d)
53.3%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))) d)
52.0%
(/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)
35.2%
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d)))
51.6%
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
41.2%
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
43.8%
(/.f64 (*.f64 #s(literal -1 binary64) a) d)
40.5%
(/.f64 b c)
11.5%
(/.f64 a d)
47.4%
(-.f64 (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64))) (/.f64 a d))
52.0%
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
21.2%
(*.f64 (fma.f64 b (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))
29.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
29.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 b (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 a c)))))
41.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (sqrt.f64 (pow.f64 (/.f64 (fma.f64 c b (*.f64 d a)) (hypot.f64 c d)) #s(literal 2 binary64))))
40.4%
(*.f64 b (/.f64 #s(literal 1 binary64) c))
14.8%
(exp.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 c d) a) d)))
Compiler

Compiled 759 to 481 computations (36.6% saved)

localize777.0ms (9.3%)

Algorithm
egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 c d)
cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
cost-diff64
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))
cost-diff64
(*.f64 #s(literal -1 binary64) b)
cost-diff64
(*.f64 #s(literal -1 binary64) a)
cost-diff128
(*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))
cost-diff256
(+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d)))
cost-diff256
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))) d)
cost-diff0
(*.f64 b c)
cost-diff0
(/.f64 (*.f64 b c) d)
cost-diff0
(-.f64 (/.f64 (*.f64 b c) d) a)
cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
cost-diff0
(/.f64 a d)
cost-diff6528
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))
cost-diff6528
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))
cost-diff6528
(neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))))
cost-diff26048
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
accuracy100.0%
(*.f64 #s(literal -1 binary64) b)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
accuracy93.1%
(/.f64 (*.f64 a d) c)
accuracy89.5%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
accuracy100.0%
(*.f64 c b)
accuracy100.0%
(*.f64 #s(literal -1 binary64) a)
accuracy98.5%
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))) d)
accuracy91.0%
(*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))
accuracy100.0%
(-.f64 (/.f64 (*.f64 b c) d) a)
accuracy100.0%
(*.f64 b c)
accuracy98.5%
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
accuracy91.1%
(/.f64 (*.f64 b c) d)
accuracy100.0%
(/.f64 a d)
accuracy100.0%
(/.f64 d (hypot.f64 c d))
accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))
accuracy97.7%
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
accuracy93.8%
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))
Rules
1196×fma-define
820×fma-neg
494×div-sub
411×unsub-neg
370×times-frac
Iterations

Useful iterations: 15 (0.0ms)

IterNodesCost
041886
1103852
2282844
3744824
41715820
53451798
64787798
76166798
86328798
96340798
106340798
117353798
127493798
137493798
147493798
157493792
167525792
177557792
187604792
197608792
207608792
217608792
227608792
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
(/.f64 c (hypot.f64 c d))
c
(hypot.f64 c d)
d
(/.f64 b (hypot.f64 c d))
b
(neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))))
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))
a
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
#s(literal 1 binary64)
(/.f64 d (hypot.f64 c d))
(/.f64 a d)
a
d
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(-.f64 (/.f64 (*.f64 b c) d) a)
(/.f64 (*.f64 b c) d)
(*.f64 b c)
b
c
d
a
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))) d)
(+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d)))
(*.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
(*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))
(*.f64 c b)
c
b
(/.f64 #s(literal 1 binary64) d)
#s(literal 1 binary64)
d
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
#s(literal 1 binary64)
(hypot.f64 c d)
c
d
(+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))
(*.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))
(/.f64 (*.f64 a d) c)
(*.f64 a d)
a
Outputs
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (*.f64 a (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
(-.f64 (*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d))) (*.f64 a (/.f64 (/.f64 d (hypot.f64 c d)) (hypot.f64 c d))))
(-.f64 (/.f64 (/.f64 (*.f64 c b) (hypot.f64 c d)) (hypot.f64 c d)) (*.f64 a (/.f64 d (*.f64 (hypot.f64 c d) (hypot.f64 c d)))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (-.f64 (*.f64 c (/.f64 b (hypot.f64 c d))) (/.f64 (*.f64 d a) (hypot.f64 c d))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (-.f64 (*.f64 c b) (*.f64 d a)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c c (*.f64 d d)))
(/.f64 c (hypot.f64 c d))
c
(hypot.f64 c d)
d
(/.f64 b (hypot.f64 c d))
b
(neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))))
(*.f64 a (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))))
(*.f64 a (/.f64 (/.f64 d (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 d (*.f64 (hypot.f64 c d) (hypot.f64 c d))) (neg.f64 a))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))
(*.f64 d (/.f64 a (neg.f64 (fma.f64 c c (*.f64 d d)))))
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))
(*.f64 a (/.f64 (/.f64 d (hypot.f64 c d)) (hypot.f64 c d)))
(*.f64 a (/.f64 d (*.f64 (hypot.f64 c d) (hypot.f64 c d))))
(*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d))))
(*.f64 d (/.f64 a (fma.f64 c c (*.f64 d d))))
a
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))
(/.f64 (/.f64 d (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 d (*.f64 (hypot.f64 c d) (hypot.f64 c d)))
(/.f64 d (fma.f64 c c (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
#s(literal 1 binary64)
(/.f64 d (hypot.f64 c d))
(/.f64 a d)
a
d
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(-.f64 (/.f64 (*.f64 b c) d) a)
(-.f64 (*.f64 b (/.f64 c d)) a)
(-.f64 (/.f64 (*.f64 c b) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(/.f64 (*.f64 b c) d)
(*.f64 b (/.f64 c d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(*.f64 b c)
(*.f64 c b)
b
c
d
a
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))) d)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d)))
(-.f64 (*.f64 b (/.f64 c d)) a)
(-.f64 (/.f64 (*.f64 c b) d) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(*.f64 #s(literal -1 binary64) a)
(neg.f64 a)
#s(literal -1 binary64)
a
(*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))
(*.f64 b (/.f64 c d))
(/.f64 (*.f64 c b) d)
(*.f64 c (/.f64 b d))
(*.f64 c b)
c
b
(/.f64 #s(literal 1 binary64) d)
#s(literal 1 binary64)
d
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (fma.f64 #s(literal -1 binary64) b (neg.f64 (*.f64 a (/.f64 d c)))))
(/.f64 (-.f64 (neg.f64 b) (*.f64 a (/.f64 d c))) (hypot.f64 c d))
(/.f64 (neg.f64 (fma.f64 a (/.f64 d c) b)) (hypot.f64 c d))
(/.f64 (neg.f64 (fma.f64 d (/.f64 a c) b)) (hypot.f64 c d))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
#s(literal 1 binary64)
(hypot.f64 c d)
c
d
(+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c)))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (*.f64 a (/.f64 d c))))
(-.f64 (neg.f64 b) (*.f64 a (/.f64 d c)))
(neg.f64 (fma.f64 a (/.f64 d c) b))
(neg.f64 (fma.f64 d (/.f64 a c) b))
(*.f64 #s(literal -1 binary64) b)
(neg.f64 b)
#s(literal -1 binary64)
b
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))
(neg.f64 (*.f64 a (/.f64 d c)))
(*.f64 a (neg.f64 (/.f64 d c)))
(*.f64 a (/.f64 d (neg.f64 c)))
(*.f64 d (/.f64 (neg.f64 a) c))
(/.f64 (*.f64 a d) c)
(*.f64 a (/.f64 d c))
(/.f64 (*.f64 d a) c)
(*.f64 a d)
(*.f64 d a)
a
Results
93.0ms256×0valid
Compiler

Compiled 235 to 33 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 18.0ms (35.3% of total)
ival-mult: 16.0ms (31.4% of total)
ival-hypot: 7.0ms (13.7% of total)
ival-fma: 4.0ms (7.9% of total)
ival-add: 2.0ms (3.9% of total)
ival-sub: 1.0ms (2% of total)
const: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series94.0ms (1.1%)

Counts
21 → 504
Calls
Call 1
Inputs
#<alt (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))>
#<alt (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))>
#<alt (/.f64 d (hypot.f64 c d))>
#<alt (/.f64 a d)>
#<alt (/.f64 (*.f64 b c) d)>
#<alt (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)>
#<alt (*.f64 b c)>
#<alt (-.f64 (/.f64 (*.f64 b c) d) a)>
#<alt (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))) d)>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (*.f64 c b)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))>
#<alt (/.f64 (*.f64 a d) c)>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 c d))>
#<alt (*.f64 #s(literal -1 binary64) b)>
#<alt (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))>
#<alt (hypot.f64 c d)>
Outputs
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 a d)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a d))>
#<alt (+.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 5 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64))))) (/.f64 a d))>
#<alt (+.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 d #s(literal 5 binary64)))))) (/.f64 a (pow.f64 d #s(literal 3 binary64))))) (/.f64 a d))>
#<alt (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (*.f64 a d)) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 a d) (/.f64 (*.f64 a (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 7 binary64))) (pow.f64 c #s(literal 6 binary64)))) (*.f64 a d)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (*.f64 a d)) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 a d) (/.f64 (*.f64 a (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64)))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 7 binary64))) (pow.f64 c #s(literal 6 binary64)))) (*.f64 a d)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 5 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 2 binary64))))) (pow.f64 c #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))>
#<alt (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 a (pow.f64 c #s(literal 2 binary64)))))>
#<alt (*.f64 d (+.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 6 binary64))) (/.f64 a (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 2 binary64)))))>
#<alt (*.f64 d (+.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 8 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 c #s(literal 6 binary64)))))) (/.f64 a (pow.f64 c #s(literal 4 binary64))))) (/.f64 a (pow.f64 c #s(literal 2 binary64)))))>
#<alt (/.f64 a d)>
#<alt (/.f64 (+.f64 a (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d)>
#<alt (/.f64 (-.f64 (+.f64 a (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d)>
#<alt (/.f64 (-.f64 (+.f64 a (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d)>
#<alt (/.f64 a d)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 a (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 a (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64)))))) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
#<alt (-.f64 (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64))) (/.f64 a d))>
#<alt (-.f64 (*.f64 c (+.f64 (/.f64 b (pow.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 3 binary64))))) (/.f64 a d))>
#<alt (-.f64 (*.f64 c (+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 4 binary64)))) (/.f64 a (pow.f64 d #s(literal 3 binary64))))) (/.f64 b (pow.f64 d #s(literal 2 binary64))))) (/.f64 a d))>
#<alt (/.f64 b c)>
#<alt (/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)>
#<alt (/.f64 (-.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64))))) (/.f64 (*.f64 a d) c)) c)>
#<alt (/.f64 (-.f64 (+.f64 b (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 a d) c) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64))))) c)>
#<alt (/.f64 b c)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 a d) c)) c))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) c)) (*.f64 a d)) c))) c))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 3 binary64))) c)) (*.f64 b (pow.f64 d #s(literal 2 binary64)))) c)) (*.f64 a d)) c))) c))>
#<alt (/.f64 b c)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))>
#<alt (+.f64 (*.f64 d (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 3 binary64)))) (/.f64 a (pow.f64 c #s(literal 2 binary64))))) (/.f64 b c))>
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Calls

174 calls:

TimeVariablePointExpression
2.0ms
c
@inf
(* a (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ d (sqrt (+ (* c c) (* d d))))))
2.0ms
a
@-inf
(/ (+ (* -1 a) (* (* c b) (/ 1 d))) d)
1.0ms
b
@0
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (+ (* -1 b) (* -1 (/ (* a d) c))))
1.0ms
a
@0
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (+ (* -1 b) (* -1 (/ (* a d) c))))
1.0ms
a
@inf
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (+ (* -1 b) (* -1 (/ (* a d) c))))

rewrite195.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
293×log1p-expm1-u
293×expm1-log1p-u
290×add-cube-cbrt
289×add-exp-log
289×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041635
1740545
Stop Event
node limit
Counts
21 → 556
Calls
Call 1
Inputs
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))
(/.f64 d (hypot.f64 c d))
(/.f64 a d)
(/.f64 (*.f64 b c) d)
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(*.f64 b c)
(-.f64 (/.f64 (*.f64 b c) d) a)
(*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))) d)
(*.f64 #s(literal -1 binary64) a)
(*.f64 c b)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
(/.f64 (*.f64 a d) c)
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
(*.f64 #s(literal -1 binary64) b)
(neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d)))))
(+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))
(hypot.f64 c d)
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))))
(pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 d) (hypot.f64 c d)) (sqrt.f64 a)) #s(literal 2 binary64))
(neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))) (sqrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))))
(pow.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) d)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 c d) #s(literal 1 binary64)) (/.f64 (hypot.f64 c d) d)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 c d) d) (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 c d) d) (/.f64 (hypot.f64 c d) #s(literal 1 binary64))))
(/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 d (*.f64 (/.f64 (hypot.f64 c d) #s(literal 1 binary64)) (hypot.f64 c d)))
(/.f64 (/.f64 d (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) d)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 c d) d) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 d) (*.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 d) (*.f64 (/.f64 (hypot.f64 c d) #s(literal 1 binary64)) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 d) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) d) (hypot.f64 c d))
(/.f64 (*.f64 d #s(literal 1 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) d) (*.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 d)) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 d #s(literal -1 binary64)) (*.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(/.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 d) #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (/.f64 d (hypot.f64 c d))) (neg.f64 (hypot.f64 c d)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) d)) (neg.f64 (hypot.f64 c d)))
(pow.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 d) (hypot.f64 c d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64)) (pow.f64 (/.f64 d (hypot.f64 c d)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 d (hypot.f64 c d)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 d (hypot.f64 c d)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 d (hypot.f64 c d)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 d (hypot.f64 c d)))
(*.f64 d (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 d (hypot.f64 c d)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 d (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 d (hypot.f64 c d))) (sqrt.f64 (/.f64 d (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 d) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 d) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (/.f64 d (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 d (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 d) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 d) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 d) (cbrt.f64 (hypot.f64 c d))))
(pow.f64 (/.f64 d (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 d (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 d (hypot.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 d (hypot.f64 c d))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 c d) d) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 d (hypot.f64 c d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 d (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 d (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 d (hypot.f64 c d)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 d (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 d (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 d (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 d (hypot.f64 c d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a d))) #s(literal 1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) d))
(*.f64 #s(literal 1 binary64) (/.f64 a d))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a d)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 a d)))
(*.f64 (pow.f64 d #s(literal -1/2 binary64)) (/.f64 a (sqrt.f64 d)))
(*.f64 (sqrt.f64 (/.f64 a d)) (sqrt.f64 (/.f64 a d)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 a (cbrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 a) d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 (/.f64 a d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (sqrt.f64 d)) (/.f64 (cbrt.f64 a) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 a) #s(literal 1 binary64)) (/.f64 (sqrt.f64 a) d))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (sqrt.f64 a) (cbrt.f64 d)))
(pow.f64 (/.f64 a d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 a d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 a d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 a d)) #s(literal 2 binary64))
(pow.f64 (/.f64 d a) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 a d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a d))))
(cbrt.f64 (pow.f64 (/.f64 a d) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 a d)))
(log1p.f64 (expm1.f64 (/.f64 a d)))
(exp.f64 (log.f64 (/.f64 a d)))
(exp.f64 (*.f64 (log.f64 (/.f64 a d)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 c b) d))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) d))
(*.f64 c (*.f64 b (/.f64 #s(literal 1 binary64) d)))
(*.f64 b (/.f64 c d))
(*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c b))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 c b) d)))
(*.f64 (pow.f64 d #s(literal -1/2 binary64)) (/.f64 (*.f64 c b) (sqrt.f64 d)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 c b) d)) (sqrt.f64 (/.f64 (*.f64 c b) d)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (*.f64 c b) (cbrt.f64 d)))
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))
(*.f64 (/.f64 (*.f64 c b) (sqrt.f64 d)) (pow.f64 d #s(literal -1/2 binary64)))
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 b (/.f64 c d) a) d))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 b (/.f64 c d) a) d) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 b (/.f64 c d) a) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 3 binary64))))
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(log1p.f64 (expm1.f64 (/.f64 (fma.f64 b (/.f64 c d) a) d)))
(exp.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 c d) a) d)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 c d) a) d)) #s(literal 1 binary64)))
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(log.f64 (exp.f64 a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)))
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a
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(exp.f64 (*.f64 (log.f64 a) #s(literal 1 binary64)))
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(sqrt.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 b) c))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 c b))))
(cbrt.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 c b)))
(log1p.f64 (expm1.f64 (*.f64 c b)))
(exp.f64 (log.f64 (*.f64 c b)))
(exp.f64 (*.f64 (log.f64 (*.f64 c b)) #s(literal 1 binary64)))
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(/.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (hypot.f64 c d))
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(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 a d) c) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (/.f64 (hypot.f64 c d) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 a d) c) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (+.f64 b (/.f64 (*.f64 a d) c))) (neg.f64 (hypot.f64 c d)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (*.f64 a d) c)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) b) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) b)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (*.f64 a d) c)) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (*.f64 a d) c))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) b) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (*.f64 a d) c))))))
(/.f64 (+.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 a d) c) (/.f64 #s(literal 1 binary64) (hypot.f64 c d))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 a d) c) (/.f64 #s(literal 1 binary64) (hypot.f64 c d))) (*.f64 (/.f64 (*.f64 a d) c) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))) (*.f64 (/.f64 b (hypot.f64 c d)) (*.f64 (/.f64 (*.f64 a d) c) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))))))
(pow.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (hypot.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (hypot.f64 c d))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (hypot.f64 c d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (hypot.f64 c d)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64)) (pow.f64 (+.f64 b (/.f64 (*.f64 a d) c)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b (/.f64 (*.f64 a d) c)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 b (/.f64 (*.f64 a d) c)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a d) c)) (hypot.f64 c d))) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) b (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (*.f64 a d) c)))
(fma.f64 b (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 (/.f64 (*.f64 a d) c) (/.f64 #s(literal 1 binary64) (hypot.f64 c d))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a d) c))) #s(literal 1 binary64))
(*.f64 a (/.f64 d c))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a d) c))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))
(*.f64 (*.f64 a d) (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 (*.f64 a d) c) #s(literal -1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 a d) c)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 a d) c)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a d) c)) (sqrt.f64 (/.f64 (*.f64 a d) c)))
(*.f64 (/.f64 d #s(literal 1 binary64)) (/.f64 a c))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 d c))
(*.f64 (/.f64 a (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 d (cbrt.f64 c)))
(*.f64 (/.f64 a (sqrt.f64 c)) (/.f64 d (sqrt.f64 c)))
(*.f64 (/.f64 d (sqrt.f64 c)) (/.f64 a (sqrt.f64 c)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 (*.f64 a d) (cbrt.f64 c)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 c)) (/.f64 (*.f64 a d) (sqrt.f64 c)))
(*.f64 (/.f64 d (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 a (cbrt.f64 c)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 a d)) c))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 a d) c)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64))) (sqrt.f64 c)) (/.f64 (cbrt.f64 (*.f64 a d)) (sqrt.f64 c)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a d)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 a d)) c))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a d)) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 a d)) (cbrt.f64 c)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 (*.f64 a d) (cbrt.f64 c)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 c)) (/.f64 (*.f64 a d) (sqrt.f64 c)))
(pow.f64 (/.f64 (*.f64 a d) c) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a d) c)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 a d) c) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 a d) c)) #s(literal 2 binary64))
(pow.f64 (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 a d) c))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a d) c) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 d c)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 a d) c))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a d) c) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a d) c)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a d) c)))
(exp.f64 (log.f64 (/.f64 (*.f64 a d) c)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a d) c)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 c d))))
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(-.f64 (exp.f64 (log1p.f64 b)) #s(literal 1 binary64))
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(neg.f64 b)
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(log.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 b)))
(cbrt.f64 (pow.f64 b #s(literal 3 binary64)))
b
(expm1.f64 (log1p.f64 b))
(log1p.f64 (expm1.f64 b))
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(*.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) a)
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (hypot.f64 c d)) (sqrt.f64 a)) (*.f64 (/.f64 (sqrt.f64 d) (hypot.f64 c d)) (sqrt.f64 a)))
(*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) (hypot.f64 c d))) (/.f64 d (hypot.f64 c d)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))))
(pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 d) (hypot.f64 c d)) (sqrt.f64 a)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 c b) d) a)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 b (/.f64 c d) a))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (fma.f64 a a (*.f64 (/.f64 (*.f64 c b) d) a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (fma.f64 a a (*.f64 (/.f64 (*.f64 c b) d) a)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 2 binary64)) (-.f64 a (/.f64 (*.f64 c b) d))) (/.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (-.f64 a (/.f64 (*.f64 c b) d))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (fma.f64 b (/.f64 c d) a)) (/.f64 (pow.f64 a #s(literal 2 binary64)) (fma.f64 b (/.f64 c d) a)))
(*.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c d) a))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 b (/.f64 c d) a) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 b (/.f64 c d) a)))
(*.f64 (sqrt.f64 (fma.f64 b (/.f64 c d) a)) (sqrt.f64 (fma.f64 b (/.f64 c d) a)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (*.f64 a (/.f64 (*.f64 c b) d)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (fma.f64 a a (*.f64 (/.f64 (*.f64 c b) d) a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64))) (-.f64 a (/.f64 (*.f64 c b) d)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 b (/.f64 c d) a))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (*.f64 a (/.f64 (*.f64 c b) d))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (fma.f64 a a (*.f64 (/.f64 (*.f64 c b) d) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (/.f64 (*.f64 c b) d))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (neg.f64 (fma.f64 b (/.f64 c d) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 c b) d) a))))
(pow.f64 (fma.f64 b (/.f64 c d) a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 b (/.f64 c d) a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 b (/.f64 c d) a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b (/.f64 c d) a)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 b (/.f64 c d) a) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 b (/.f64 c d) a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 b (/.f64 c d) a))))
(cbrt.f64 (pow.f64 (fma.f64 b (/.f64 c d) a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 b (/.f64 c d) a)))
(log1p.f64 (expm1.f64 (fma.f64 b (/.f64 c d) a)))
(exp.f64 (log.f64 (fma.f64 b (/.f64 c d) a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 b (/.f64 c d) a)) #s(literal 1 binary64)))
(fma.f64 a #s(literal -1 binary64) (/.f64 (*.f64 c b) d))
(fma.f64 #s(literal 1 binary64) a (/.f64 (*.f64 c b) d))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) d) a)
(fma.f64 c (*.f64 b (/.f64 #s(literal 1 binary64) d)) a)
(fma.f64 b (/.f64 c d) a)
(fma.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d) a)
(fma.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c b) a)
(fma.f64 #s(literal -1 binary64) a (/.f64 (*.f64 c b) d))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 c b) d)) a)
(fma.f64 (pow.f64 (cbrt.f64 a) #s(literal 2 binary64)) (cbrt.f64 a) (/.f64 (*.f64 c b) d))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 c b) d)) (sqrt.f64 (/.f64 (*.f64 c b) d)) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (/.f64 (*.f64 c b) d))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a d) c))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 a d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 a d))))
(/.f64 (*.f64 a d) c)
(/.f64 (neg.f64 (*.f64 a d)) (neg.f64 c))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) c)
(/.f64 (neg.f64 (neg.f64 (*.f64 a d))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d))) (neg.f64 c))
(pow.f64 (/.f64 (*.f64 a d) c) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a d) c)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 a d) c) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 a d) c)) #s(literal 2 binary64))
(pow.f64 (/.f64 c (*.f64 a d)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 a d) c))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a d) c) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 a) (/.f64 d c)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 a d) c))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a d) c) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a d) c)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a d) c)))
(exp.f64 (log.f64 (/.f64 (*.f64 a d) c)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a d) c)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 c d))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 c d))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 c d)))
(*.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d)))
(pow.f64 (hypot.f64 c d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 c d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 c d))))
(cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 c d)))
(log1p.f64 (expm1.f64 (hypot.f64 c d)))
(exp.f64 (log.f64 (hypot.f64 c d)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) #s(literal 1 binary64)))

eval285.0ms (3.4%)

Compiler

Compiled 28614 to 3380 computations (88.2% saved)

prune179.0ms (2.1%)

Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New1260101270
Fresh31518
Picked325
Done011
Total1266281294
Accuracy
100.0%
Counts
1294 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.4%
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
54.5%
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b d) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
21.2%
(pow.f64 (/.f64 d (fma.f64 b (/.f64 c d) a)) #s(literal -1 binary64))
21.9%
(/.f64 (/.f64 (*.f64 b c) d) d)
53.3%
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
23.1%
(/.f64 (-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a) d)
53.2%
(/.f64 (-.f64 (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d)) a) d)
53.2%
(/.f64 (-.f64 (*.f64 c (*.f64 b (/.f64 #s(literal 1 binary64) d))) a) d)
54.7%
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
52.0%
(/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)
35.2%
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d)))
51.6%
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
41.2%
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
43.8%
(/.f64 (*.f64 #s(literal -1 binary64) a) d)
40.5%
(/.f64 b c)
11.5%
(/.f64 a d)
10.7%
(/.f64 a c)
52.8%
(-.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d))
52.0%
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
21.2%
(*.f64 (fma.f64 b (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))
29.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 (/.f64 (*.f64 a d) c))))
29.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 b (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 a c)))))
41.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (sqrt.f64 (pow.f64 (/.f64 (fma.f64 c b (*.f64 d a)) (hypot.f64 c d)) #s(literal 2 binary64))))
28.4%
(*.f64 (exp.f64 (neg.f64 (log.f64 (hypot.f64 c d)))) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
40.4%
(*.f64 b (/.f64 #s(literal 1 binary64) c))
10.5%
(*.f64 #s(literal -1 binary64) (/.f64 b c))
8.7%
(*.f64 #s(literal -1 binary64) (/.f64 a c))
14.8%
(exp.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 c d) a) d)))
Compiler

Compiled 815 to 522 computations (36% saved)

localize349.0ms (4.2%)

Algorithm
egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 c (sqrt.f64 d))
cost-diff12928
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))
cost-diff12928
(-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a)
cost-diff12928
(/.f64 (-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a) d)
cost-diff0
(/.f64 d c)
cost-diff0
(*.f64 (/.f64 d c) (/.f64 a c))
cost-diff64
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c)))
cost-diff128
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
cost-diff0
(/.f64 c d)
cost-diff0
(*.f64 b (/.f64 c d))
cost-diff0
(-.f64 (*.f64 b (/.f64 c d)) a)
cost-diff0
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
cost-diff0
(/.f64 a c)
cost-diff0
(/.f64 b (hypot.f64 c d))
cost-diff0
(hypot.f64 c d)
cost-diff0
(/.f64 c (hypot.f64 c d))
cost-diff6400
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
accuracy99.8%
(/.f64 c (sqrt.f64 d))
accuracy99.8%
(/.f64 b (sqrt.f64 d))
accuracy99.2%
(/.f64 (-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a) d)
accuracy97.3%
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))
accuracy100.0%
(/.f64 a c)
accuracy100.0%
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c)))
accuracy98.3%
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
accuracy97.2%
(*.f64 (/.f64 d c) (/.f64 a c))
accuracy100.0%
(/.f64 c d)
accuracy100.0%
(-.f64 (*.f64 b (/.f64 c d)) a)
accuracy99.2%
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
accuracy95.8%
(*.f64 b (/.f64 c d))
accuracy100.0%
(/.f64 a c)
accuracy100.0%
(/.f64 a d)
accuracy100.0%
(neg.f64 (/.f64 a d))
accuracy100.0%
(/.f64 b (hypot.f64 c d))
accuracy98.4%
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
Rules
1497×fma-define
718×fma-neg
577×div-sub
358×cancel-sign-sub-inv
328×distribute-lft-neg-in
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
036637
176635
2159635
3310635
4556631
5946631
61999631
73995628
85815628
96511628
106825628
116898628
126928628
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
(/.f64 c (hypot.f64 c d))
c
(hypot.f64 c d)
d
(/.f64 b (hypot.f64 c d))
b
(neg.f64 (/.f64 a d))
(/.f64 a d)
a
(/.f64 a c)
a
c
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(-.f64 (*.f64 b (/.f64 c d)) a)
(*.f64 b (/.f64 c d))
b
(/.f64 c d)
c
d
a
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c)))
#s(literal -1 binary64)
(*.f64 (/.f64 d c) (/.f64 a c))
(/.f64 d c)
d
c
(/.f64 a c)
a
(/.f64 b c)
b
(/.f64 (-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a) d)
(-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a)
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))
(/.f64 c (sqrt.f64 d))
c
(sqrt.f64 d)
d
(/.f64 b (sqrt.f64 d))
b
a
Outputs
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 a (neg.f64 d)))
(-.f64 (*.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d))) (/.f64 a d))
(-.f64 (*.f64 c (/.f64 (/.f64 b (hypot.f64 c d)) (hypot.f64 c d))) (/.f64 a d))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 a d))
(fma.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 a (neg.f64 d)))
(fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 a (neg.f64 d)))
(/.f64 c (hypot.f64 c d))
c
(hypot.f64 c d)
d
(/.f64 b (hypot.f64 c d))
b
(neg.f64 (/.f64 a d))
(/.f64 a (neg.f64 d))
(/.f64 a d)
a
(/.f64 a c)
a
c
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(-.f64 (*.f64 b (/.f64 c d)) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(-.f64 (/.f64 (*.f64 c b) d) a)
(*.f64 b (/.f64 c d))
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
b
(/.f64 c d)
c
d
a
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 a c) (/.f64 d c)) (/.f64 b c))
(-.f64 (/.f64 b c) (*.f64 d (/.f64 (/.f64 a c) c)))
(-.f64 (/.f64 b c) (*.f64 d (/.f64 a (*.f64 c c))))
(*.f64 (/.f64 #s(literal -1 binary64) c) (-.f64 (*.f64 d (/.f64 a c)) b))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c)))
(neg.f64 (*.f64 (/.f64 a c) (/.f64 d c)))
(*.f64 (/.f64 a c) (/.f64 (neg.f64 d) c))
(*.f64 d (neg.f64 (/.f64 a (*.f64 c c))))
(*.f64 d (/.f64 a (*.f64 c (neg.f64 c))))
(*.f64 d (neg.f64 (/.f64 (/.f64 a c) c)))
#s(literal -1 binary64)
(*.f64 (/.f64 d c) (/.f64 a c))
(*.f64 (/.f64 a c) (/.f64 d c))
(*.f64 d (/.f64 (/.f64 a c) c))
(*.f64 d (/.f64 a (*.f64 c c)))
(/.f64 d c)
d
c
(/.f64 a c)
a
(/.f64 b c)
b
(/.f64 (-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a) d)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d)
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a)
(-.f64 (*.f64 b (/.f64 c d)) a)
(-.f64 (*.f64 c (/.f64 b d)) a)
(-.f64 (/.f64 (*.f64 c b) d) a)
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))
(*.f64 b (/.f64 c d))
(*.f64 c (/.f64 b d))
(/.f64 (*.f64 c b) d)
(/.f64 c (sqrt.f64 d))
c
(sqrt.f64 d)
d
(/.f64 b (sqrt.f64 d))
b
a
Results
38.0ms136×0invalid
106.0ms120×0valid
Compiler

Compiled 167 to 28 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 18.0ms (43.8% of total)
ival-mult: 6.0ms (14.6% of total)
ival-hypot: 6.0ms (14.6% of total)
ival-fma: 3.0ms (7.3% of total)
ival-sqrt: 3.0ms (7.3% of total)
ival-sub: 2.0ms (4.9% of total)
ival-add: 1.0ms (2.4% of total)
ival-neg: 1.0ms (2.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series55.0ms (0.7%)

Counts
20 → 588
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))>
#<alt (/.f64 b (hypot.f64 c d))>
#<alt (neg.f64 (/.f64 a d))>
#<alt (/.f64 a d)>
#<alt (/.f64 a c)>
#<alt (*.f64 b (/.f64 c d))>
#<alt (/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)>
#<alt (-.f64 (*.f64 b (/.f64 c d)) a)>
#<alt (/.f64 c d)>
#<alt (*.f64 (/.f64 d c) (/.f64 a c))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c)))>
#<alt (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))>
#<alt (/.f64 (-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a) d)>
#<alt (/.f64 b (sqrt.f64 d))>
#<alt (/.f64 c (sqrt.f64 d))>
#<alt (/.f64 c (hypot.f64 c d))>
#<alt (hypot.f64 c d)>
#<alt (/.f64 d c)>
#<alt (-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
#<alt (-.f64 (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64))) (/.f64 a d))>
#<alt (-.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 2 binary64))))) (/.f64 a d))>
#<alt (-.f64 (*.f64 c (+.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 6 binary64))) (/.f64 b (pow.f64 d #s(literal 4 binary64))))) (/.f64 b (pow.f64 d #s(literal 2 binary64))))) (/.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
#<alt (-.f64 (/.f64 b c) (/.f64 a d))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 b c)) (/.f64 a d))>
#<alt (-.f64 (+.f64 (/.f64 b c) (/.f64 (*.f64 b (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 5 binary64)))) (+.f64 (/.f64 a d) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
#<alt (-.f64 (/.f64 b c) (/.f64 a d))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) c)) (/.f64 a d))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) b) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64))))) c)) (/.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
#<alt (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) d)>
#<alt (/.f64 (-.f64 (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 b c))) a) d)>
#<alt (/.f64 (-.f64 (*.f64 d (+.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 5 binary64))) (/.f64 b (pow.f64 c #s(literal 3 binary64))))) (/.f64 b c))) a) d)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
#<alt (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 (*.f64 b c) d)) a) d)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 b c) d) (/.f64 (*.f64 b (pow.f64 c #s(literal 5 binary64))) (pow.f64 d #s(literal 5 binary64)))) (+.f64 a (/.f64 (*.f64 b (pow.f64 c #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64))))) d)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) d)) (*.f64 #s(literal -1 binary64) a)) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 3 binary64))) (pow.f64 d #s(literal 2 binary64)))) (*.f64 b c)) d)) (*.f64 #s(literal -1 binary64) a)) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 b c) (/.f64 (*.f64 b (pow.f64 c #s(literal 5 binary64))) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (*.f64 b (pow.f64 c #s(literal 3 binary64))) (pow.f64 d #s(literal 2 binary64)))) d)) (*.f64 #s(literal -1 binary64) a)) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
#<alt (-.f64 (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 a d))>
#<alt (-.f64 (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 a d))>
#<alt (-.f64 (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 a d))>
#<alt (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (*.f64 b d))) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (*.f64 b d))) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (*.f64 b d))) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 a (*.f64 b d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 a (*.f64 b d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 a (*.f64 b d)))))>
#<alt (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (/.f64 (*.f64 b c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
#<alt (*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 a d))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) d))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) d))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) d))))>
#<alt (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (/.f64 b d)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 b d))>
#<alt (+.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 5 binary64)))))) (/.f64 b d))>
#<alt (+.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 b (pow.f64 d #s(literal 5 binary64)))))))) (/.f64 b d))>
#<alt (/.f64 b c)>
#<alt (/.f64 (+.f64 b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64))))) c)>
#<alt (/.f64 (+.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64))))) (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))))) c)>
#<alt (/.f64 (+.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64))))) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))))) (pow.f64 d #s(literal 6 binary64)))) (pow.f64 c #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64))))))) c)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 b c))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64))))) c))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64))))) (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))))) c))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64))))) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))))) (pow.f64 d #s(literal 6 binary64)))) (pow.f64 c #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64))))))) c))>
#<alt (/.f64 b c)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 b c))>
#<alt (+.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 5 binary64)))))) (/.f64 b c))>
#<alt (+.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 b (pow.f64 c #s(literal 5 binary64)))))))) (/.f64 b c))>
#<alt (/.f64 b d)>
#<alt (/.f64 (+.f64 b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64))))) d)>
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#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) d)))>
#<alt (/.f64 c d)>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (+.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) d)))>
#<alt (*.f64 c (+.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) d)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))))) (pow.f64 d #s(literal 6 binary64))) (pow.f64 c #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 d #s(literal 4 binary64)))))) (pow.f64 d #s(literal 6 binary64))) (pow.f64 c #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 2 binary64)))))))>
#<alt (/.f64 c d)>
#<alt (/.f64 (+.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 2 binary64))))) d)>
#<alt (/.f64 (+.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 2 binary64)))))) d)>
#<alt (/.f64 (+.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64)))))) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 d #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 2 binary64))))))) d)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 c d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 2 binary64))))) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 2 binary64)))))) d))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 c #s(literal 4 binary64)))))) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 d #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 2 binary64))))))) d))>
#<alt d>
#<alt (+.f64 d (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) d)))>
#<alt (+.f64 d (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) d)))))>
#<alt (+.f64 d (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) d)))))>
#<alt c>
#<alt (*.f64 c (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))>
#<alt (*.f64 c (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))))>
#<alt (*.f64 c (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) c)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))))))>
#<alt c>
#<alt (+.f64 c (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) c)))>
#<alt (+.f64 c (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) c)))))>
#<alt (+.f64 c (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 d #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) c)))))>
#<alt d>
#<alt (*.f64 d (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (-.f64 (/.f64 (*.f64 b c) d) a)>
#<alt (-.f64 (/.f64 (*.f64 b c) d) a)>
#<alt (-.f64 (/.f64 (*.f64 b c) d) a)>
#<alt (/.f64 (*.f64 b c) d)>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c)) (/.f64 b d)))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c)) (/.f64 b d)))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c)) (/.f64 b d)))>
#<alt (/.f64 (*.f64 b c) d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b d)) (/.f64 a c))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b d)) (/.f64 a c))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b d)) (/.f64 a c))))>
#<alt (/.f64 (*.f64 b c) d)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c)) d)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c)) d)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (*.f64 b c)) d)>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (-.f64 (/.f64 (*.f64 b c) d) a)>
#<alt (-.f64 (/.f64 (*.f64 b c) d) a)>
#<alt (-.f64 (/.f64 (*.f64 b c) d) a)>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (*.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) a)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (*.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) a)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (*.f64 d (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) a)>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (-.f64 (/.f64 (*.f64 b c) d) a)>
#<alt (-.f64 (/.f64 (*.f64 b c) d) a)>
#<alt (-.f64 (/.f64 (*.f64 b c) d) a)>
#<alt (/.f64 (*.f64 b c) d)>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (/.f64 c d)))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (/.f64 c d)))>
#<alt (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a b)) (/.f64 c d)))>
#<alt (/.f64 (*.f64 b c) d)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) (/.f64 a b))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c d)) (/.f64 a b))))>
#<alt (/.f64 (*.f64 b c) d)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d))>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a d)) #s(literal 1 binary64)))>
#<alt (*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a d)) #s(literal 1 binary64)))>
#<alt (*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a d)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (*.f64 a d))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (*.f64 a d))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (*.f64 a d))))))>
Calls

171 calls:

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

rewrite185.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
288×log1p-expm1-u
288×expm1-log1p-u
285×add-cube-cbrt
284×add-exp-log
284×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036530
1630499
Stop Event
node limit
Counts
20 → 665
Calls
Call 1
Inputs
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
(/.f64 b (hypot.f64 c d))
(neg.f64 (/.f64 a d))
(/.f64 a d)
(/.f64 a c)
(*.f64 b (/.f64 c d))
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(-.f64 (*.f64 b (/.f64 c d)) a)
(/.f64 c d)
(*.f64 (/.f64 d c) (/.f64 a c))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c)))
(*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))
(/.f64 (-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a) d)
(/.f64 b (sqrt.f64 d))
(/.f64 c (sqrt.f64 d))
(/.f64 c (hypot.f64 c d))
(hypot.f64 c d)
(/.f64 d c)
(-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a)
Outputs
(+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d))) (sqrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 a d) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d)))))
(pow.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d))))
(exp.f64 (log.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (*.f64 c b) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (/.f64 a d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b (hypot.f64 c d)))) #s(literal 1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(*.f64 #s(literal 1 binary64) (/.f64 b (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 b (hypot.f64 c d))) (sqrt.f64 (/.f64 b (hypot.f64 c d))))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 b) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 b) #s(literal 1 binary64)) (/.f64 (sqrt.f64 b) (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 c d))) (/.f64 b (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 b (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 b) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 b) (cbrt.f64 (hypot.f64 c d))))
(pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 b (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 b (hypot.f64 c d))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 c d) b) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 b (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 b (hypot.f64 c d)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 b (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 b (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 b (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (hypot.f64 c d))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a d))) #s(literal 1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) d))
(*.f64 a (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 #s(literal -1 binary64) (/.f64 a d))
(*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) d))
(*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 #s(literal 1 binary64) (/.f64 a d))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64))) (cbrt.f64 (/.f64 a d)))
(*.f64 (sqrt.f64 (/.f64 a d)) (sqrt.f64 (/.f64 a d)))
(*.f64 (pow.f64 d #s(literal -1/2 binary64)) (/.f64 a (sqrt.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 a (cbrt.f64 d)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 a) d))
(*.f64 (/.f64 (sqrt.f64 a) #s(literal 1 binary64)) (/.f64 (sqrt.f64 a) d))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (sqrt.f64 d)) (/.f64 (cbrt.f64 a) (sqrt.f64 d)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 (/.f64 a d)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (sqrt.f64 a) (cbrt.f64 d)))
(/.f64 a d)
(/.f64 a (neg.f64 d))
(/.f64 #s(literal -1 binary64) (/.f64 d a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d a)))
(/.f64 (neg.f64 a) d)
(/.f64 (neg.f64 a) (neg.f64 d))
(/.f64 (neg.f64 a) (neg.f64 (neg.f64 d)))
(/.f64 #s(literal 1 binary64) (/.f64 d a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))
(/.f64 #s(literal 1 binary64) (/.f64 d (neg.f64 a)))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 d)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a d) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 a d)))))
(pow.f64 (/.f64 a d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 a d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 a d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 a d)) #s(literal 2 binary64))
(pow.f64 (/.f64 d a) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 a d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a d))))
(cbrt.f64 (pow.f64 (/.f64 a d) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 a d)))
(log1p.f64 (expm1.f64 (/.f64 a d)))
(exp.f64 (log.f64 (/.f64 a d)))
(exp.f64 (*.f64 (log.f64 (/.f64 a d)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a d))) #s(literal 1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) d))
(*.f64 a (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 #s(literal -1 binary64) (/.f64 a d))
(*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) d))
(*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 #s(literal 1 binary64) (/.f64 a d))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64))) (cbrt.f64 (/.f64 a d)))
(*.f64 (sqrt.f64 (/.f64 a d)) (sqrt.f64 (/.f64 a d)))
(*.f64 (pow.f64 d #s(literal -1/2 binary64)) (/.f64 a (sqrt.f64 d)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 a (cbrt.f64 d)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 a) d))
(*.f64 (/.f64 (sqrt.f64 a) #s(literal 1 binary64)) (/.f64 (sqrt.f64 a) d))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (sqrt.f64 d)) (/.f64 (cbrt.f64 a) (sqrt.f64 d)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (cbrt.f64 (/.f64 a d)))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 (sqrt.f64 a) (cbrt.f64 d)))
(pow.f64 (/.f64 a d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 a d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 a d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 a d)) #s(literal 2 binary64))
(pow.f64 (/.f64 d a) #s(literal -1 binary64))
(neg.f64 (/.f64 a d))
(sqrt.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 a d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a d))))
(cbrt.f64 (pow.f64 (/.f64 a d) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 a d)))
(log1p.f64 (expm1.f64 (/.f64 a d)))
(exp.f64 (log.f64 (/.f64 a d)))
(exp.f64 (*.f64 (log.f64 (/.f64 a d)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a c))) #s(literal 1 binary64))
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 c)))
(*.f64 #s(literal 1 binary64) (/.f64 a c))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64))) (cbrt.f64 (/.f64 a c)))
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 (/.f64 a c)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 a (cbrt.f64 c)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 c)) (/.f64 a (sqrt.f64 c)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 a) c))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 (/.f64 a c)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (sqrt.f64 c)) (/.f64 (cbrt.f64 a) (sqrt.f64 c)))
(*.f64 (/.f64 (sqrt.f64 a) #s(literal 1 binary64)) (/.f64 (sqrt.f64 a) c))
(*.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 (sqrt.f64 a) (cbrt.f64 c)))
(pow.f64 (/.f64 a c) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 a c)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 a c)) #s(literal 2 binary64))
(pow.f64 (/.f64 c a) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 a c)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a c))))
(cbrt.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 a c)))
(log1p.f64 (expm1.f64 (/.f64 a c)))
(exp.f64 (log.f64 (/.f64 a c)))
(exp.f64 (*.f64 (log.f64 (/.f64 a c)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 c b) d))) #s(literal 1 binary64))
(/.f64 c (*.f64 (/.f64 (sqrt.f64 d) b) (sqrt.f64 d)))
(/.f64 b (/.f64 d c))
(/.f64 b (*.f64 (/.f64 (sqrt.f64 d) c) (sqrt.f64 d)))
(/.f64 (/.f64 c (sqrt.f64 d)) (/.f64 (sqrt.f64 d) b))
(/.f64 (/.f64 b (sqrt.f64 d)) (/.f64 (sqrt.f64 d) c))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 d) c) (/.f64 (sqrt.f64 d) b)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 d) b) (/.f64 (sqrt.f64 d) c)))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c b)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 d) (*.f64 (/.f64 c (sqrt.f64 d)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 d) (*.f64 c (/.f64 b (sqrt.f64 d)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 b c)))
(/.f64 (*.f64 c b) d)
(/.f64 (neg.f64 b) (*.f64 (/.f64 (sqrt.f64 d) c) (neg.f64 (sqrt.f64 d))))
(/.f64 (neg.f64 c) (*.f64 (/.f64 (sqrt.f64 d) b) (neg.f64 (sqrt.f64 d))))
(/.f64 (*.f64 b c) d)
(/.f64 (*.f64 (/.f64 c (sqrt.f64 d)) b) (sqrt.f64 d))
(/.f64 (*.f64 c (/.f64 b (sqrt.f64 d))) (sqrt.f64 d))
(/.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 (sqrt.f64 d) (/.f64 (sqrt.f64 d) c)))
(/.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (sqrt.f64 d) c)))
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 (sqrt.f64 d) (/.f64 (sqrt.f64 d) b)))
(/.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (sqrt.f64 d) b)))
(/.f64 (*.f64 c (neg.f64 b)) (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))))
(/.f64 (*.f64 (neg.f64 c) b) (*.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 d)))
(/.f64 (*.f64 (neg.f64 c) (neg.f64 b)) (*.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 d))))
(/.f64 (*.f64 b (neg.f64 c)) (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))))
(/.f64 (*.f64 (neg.f64 b) c) (*.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 d)))
(/.f64 (*.f64 (neg.f64 b) (neg.f64 c)) (*.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 d))))
(/.f64 (neg.f64 (*.f64 c b)) (neg.f64 d))
(/.f64 (neg.f64 (*.f64 (/.f64 c (sqrt.f64 d)) b)) (neg.f64 (sqrt.f64 d)))
(/.f64 (neg.f64 (*.f64 c (/.f64 b (sqrt.f64 d)))) (neg.f64 (sqrt.f64 d)))
(/.f64 (neg.f64 (*.f64 b c)) (neg.f64 d))
(pow.f64 (/.f64 (*.f64 c b) d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 c b) d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 c b) d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 b) (/.f64 c d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 c b) d))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 c b) d)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 c b) d)))
(exp.f64 (log.f64 (/.f64 (*.f64 c b) d)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c b) d)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (/.f64 #s(literal 1 binary64) d))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (sqrt.f64 (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)))
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c b) d) a)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
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(log.f64 (exp.f64 (/.f64 b (sqrt.f64 d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b (sqrt.f64 d)))))
(cbrt.f64 (pow.f64 (/.f64 b (sqrt.f64 d)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 d #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 b (sqrt.f64 d))))
(log1p.f64 (expm1.f64 (/.f64 b (sqrt.f64 d))))
(exp.f64 (log.f64 (/.f64 b (sqrt.f64 d))))
(exp.f64 (*.f64 (log.f64 (/.f64 b (sqrt.f64 d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 c (sqrt.f64 d)))) #s(literal 1 binary64))
(*.f64 c (pow.f64 d #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 c (sqrt.f64 d)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 c #s(literal 2 binary64)) d)) (cbrt.f64 (/.f64 c (sqrt.f64 d))))
(*.f64 (sqrt.f64 (/.f64 c (sqrt.f64 d))) (sqrt.f64 (/.f64 c (sqrt.f64 d))))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 c) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 c) #s(literal 1 binary64)) (sqrt.f64 (/.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 d)) (/.f64 c (cbrt.f64 (sqrt.f64 d))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 1/4 binary64))) (/.f64 c (pow.f64 d #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) (cbrt.f64 d)) (cbrt.f64 (/.f64 c (sqrt.f64 d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 c) (pow.f64 d #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 c) (cbrt.f64 d)) (/.f64 (sqrt.f64 c) (cbrt.f64 (sqrt.f64 d))))
(pow.f64 (/.f64 c (sqrt.f64 d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 c (sqrt.f64 d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 c (sqrt.f64 d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 c (sqrt.f64 d))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 d) c) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (pow.f64 c #s(literal 2 binary64)) d))
(log.f64 (exp.f64 (/.f64 c (sqrt.f64 d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 c (sqrt.f64 d)))))
(cbrt.f64 (pow.f64 (/.f64 c (sqrt.f64 d)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 c (sqrt.f64 d))))
(log1p.f64 (expm1.f64 (/.f64 c (sqrt.f64 d))))
(exp.f64 (log.f64 (/.f64 c (sqrt.f64 d))))
(exp.f64 (*.f64 (log.f64 (/.f64 c (sqrt.f64 d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 c (hypot.f64 c d)))) #s(literal 1 binary64))
(*.f64 c (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(*.f64 #s(literal 1 binary64) (/.f64 c (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 c (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d))) (sqrt.f64 (/.f64 c (hypot.f64 c d))))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 c) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 c) #s(literal 1 binary64)) (/.f64 (sqrt.f64 c) (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (/.f64 c (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 c d))) (/.f64 c (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 c (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 c) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 c) (cbrt.f64 (hypot.f64 c d))))
(pow.f64 (/.f64 c (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 c (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 c (hypot.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 c (hypot.f64 c d))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 c d) c) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 c (hypot.f64 c d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 c (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 c (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 c (hypot.f64 c d)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 c (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 c (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 c (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 c (hypot.f64 c d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 c d))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 c d))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 c d)))
(*.f64 (sqrt.f64 (hypot.f64 c d)) (sqrt.f64 (hypot.f64 c d)))
(pow.f64 (hypot.f64 c d) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 c d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 c d))))
(cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 c d)))
(log1p.f64 (expm1.f64 (hypot.f64 c d)))
(exp.f64 (log.f64 (hypot.f64 c d)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 d c))) #s(literal 1 binary64))
(*.f64 d (/.f64 #s(literal 1 binary64) c))
(*.f64 #s(literal 1 binary64) (/.f64 d c))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 d c)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 d c)))
(*.f64 (sqrt.f64 (/.f64 d c)) (sqrt.f64 (/.f64 d c)))
(*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 c)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 d (cbrt.f64 c)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 c)) (/.f64 d (sqrt.f64 c)))
(*.f64 (/.f64 (sqrt.f64 d) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) c))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 d) c))
(*.f64 (/.f64 (sqrt.f64 d) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (cbrt.f64 c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (cbrt.f64 (/.f64 d c)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 d) #s(literal 2 binary64)) (sqrt.f64 c)) (/.f64 (cbrt.f64 d) (sqrt.f64 c)))
(pow.f64 (/.f64 c d) #s(literal -1 binary64))
(pow.f64 (/.f64 d c) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 d c)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 d c)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 d c) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 d c)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 d c))))
(cbrt.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 d c)))
(log1p.f64 (expm1.f64 (/.f64 d c)))
(exp.f64 (log.f64 (/.f64 d c)))
(exp.f64 (*.f64 (log.f64 (/.f64 d c)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 c b) d) (neg.f64 a))
(+.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (fma.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 a) a))
(+.f64 (fma.f64 b (/.f64 c d) (neg.f64 (*.f64 a #s(literal 1 binary64)))) (fma.f64 (neg.f64 a) #s(literal 1 binary64) (*.f64 a #s(literal 1 binary64))))
(+.f64 (fma.f64 b (/.f64 c d) (neg.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 a)) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))))))
(+.f64 (fma.f64 (/.f64 c d) b (neg.f64 (*.f64 a #s(literal 1 binary64)))) (fma.f64 (neg.f64 a) #s(literal 1 binary64) (*.f64 a #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 c d) b (neg.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 a)) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))))))
(+.f64 (fma.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)) (neg.f64 (*.f64 a #s(literal 1 binary64)))) (fma.f64 (neg.f64 a) #s(literal 1 binary64) (*.f64 a #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)) (neg.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 a)) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))))))
(+.f64 (fma.f64 (/.f64 b (sqrt.f64 d)) (/.f64 c (sqrt.f64 d)) (neg.f64 (*.f64 a #s(literal 1 binary64)))) (fma.f64 (neg.f64 a) #s(literal 1 binary64) (*.f64 a #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 b (sqrt.f64 d)) (/.f64 c (sqrt.f64 d)) (neg.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 a)) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) d) (neg.f64 (*.f64 a #s(literal 1 binary64)))) (fma.f64 (neg.f64 a) #s(literal 1 binary64) (*.f64 a #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) d) (neg.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 a)) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 c b) d)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 c b) d)) (neg.f64 (*.f64 a #s(literal 1 binary64)))) (fma.f64 (neg.f64 a) #s(literal 1 binary64) (*.f64 a #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 c b) d)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 c b) d)) (neg.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 a)) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 c b) d)) (sqrt.f64 (/.f64 (*.f64 c b) d)) (neg.f64 (*.f64 a #s(literal 1 binary64)))) (fma.f64 (neg.f64 a) #s(literal 1 binary64) (*.f64 a #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 c b) d)) (sqrt.f64 (/.f64 (*.f64 c b) d)) (neg.f64 (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 a)) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (*.f64 (cbrt.f64 a) (cbrt.f64 (pow.f64 a #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 c b) d) a))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 (*.f64 c b) d) a) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (/.f64 (*.f64 c b) d) a)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 c b) d) a)) (sqrt.f64 (-.f64 (/.f64 (*.f64 c b) d) a)))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c d) a)))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (fma.f64 a a (*.f64 (/.f64 (*.f64 c b) d) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 c d) a) (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (fma.f64 a a (*.f64 (/.f64 (*.f64 c b) d) a))) (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (fma.f64 b (/.f64 c d) a))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (fma.f64 a a (*.f64 (/.f64 (*.f64 c b) d) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64)))) (neg.f64 (fma.f64 b (/.f64 c d) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (fma.f64 a a (*.f64 (/.f64 (*.f64 c b) d) a)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 a) (neg.f64 a)) (*.f64 (/.f64 (*.f64 c b) d) (neg.f64 a)))))
(pow.f64 (-.f64 (/.f64 (*.f64 c b) d) a) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 c b) d) a)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 (*.f64 c b) d) a) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 c b) d) a)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (*.f64 c b) d) a) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (/.f64 (*.f64 c b) d) a)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (*.f64 c b) d) a))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (*.f64 c b) d) a) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (*.f64 c b) d) a)))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (*.f64 c b) d) a)))
(exp.f64 (log.f64 (-.f64 (/.f64 (*.f64 c b) d) a)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 c b) d) a)) #s(literal 1 binary64)))
(fma.f64 b (/.f64 c d) (neg.f64 a))
(fma.f64 (/.f64 c d) b (neg.f64 a))
(fma.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)) (neg.f64 a))
(fma.f64 (/.f64 b (sqrt.f64 d)) (/.f64 c (sqrt.f64 d)) (neg.f64 a))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) d) (neg.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 c b) d)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (*.f64 c b) d)) (neg.f64 a))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 c b) d)) (sqrt.f64 (/.f64 (*.f64 c b) d)) (neg.f64 a))

eval345.0ms (4.1%)

Compiler

Compiled 21709 to 2492 computations (88.5% saved)

prune148.0ms (1.8%)

Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New131291321
Fresh51520
Picked235
Done123
Total1320291349
Accuracy
100.0%
Counts
1349 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.1%
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 a d))
46.6%
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (*.f64 #s(literal -1 binary64) d)) (neg.f64 (/.f64 a d)))
54.5%
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b d) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
53.0%
(pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 c b) d) a)) #s(literal -1 binary64))
21.9%
(/.f64 (/.f64 (*.f64 b c) d) d)
54.7%
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
53.2%
(/.f64 (-.f64 (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d)) a) d)
53.2%
(/.f64 (-.f64 (*.f64 c (*.f64 b (/.f64 #s(literal 1 binary64) d))) a) d)
54.6%
(/.f64 (-.f64 (*.f64 b (pow.f64 (cbrt.f64 (/.f64 c d)) #s(literal 3 binary64))) a) d)
54.7%
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
42.1%
(/.f64 (-.f64 (*.f64 b (-.f64 (exp.f64 (log1p.f64 (/.f64 c d))) #s(literal 1 binary64))) a) d)
52.0%
(/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)
35.2%
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d)))
43.8%
(/.f64 (*.f64 #s(literal -1 binary64) a) d)
40.5%
(/.f64 b c)
11.5%
(/.f64 a d)
10.7%
(/.f64 a c)
52.8%
(-.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d))
52.8%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 d (/.f64 c a)) c)) (/.f64 b c))
51.9%
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 (/.f64 d c)) #s(literal 3 binary64)) (/.f64 a c))) (/.f64 b c))
52.0%
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
29.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 (/.f64 (*.f64 a d) c))))
29.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 b (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 a c)))))
41.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (sqrt.f64 (pow.f64 (/.f64 (fma.f64 c b (*.f64 d a)) (hypot.f64 c d)) #s(literal 2 binary64))))
53.1%
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (/.f64 #s(literal 1 binary64) d))
28.4%
(*.f64 (exp.f64 (neg.f64 (log.f64 (hypot.f64 c d)))) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
40.4%
(*.f64 b (/.f64 #s(literal 1 binary64) c))
10.5%
(*.f64 #s(literal -1 binary64) (/.f64 b c))
8.7%
(*.f64 #s(literal -1 binary64) (/.f64 a c))
Compiler

Compiled 1160 to 485 computations (58.2% saved)

regimes102.0ms (1.2%)

Counts
56 → 1
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 a d))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 #s(literal -1 binary64) a) d)
(/.f64 (/.f64 (*.f64 b c) d) d)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (/.f64 #s(literal 1 binary64) d))
(-.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d))
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)
(/.f64 (-.f64 (*.f64 c (*.f64 b (/.f64 #s(literal 1 binary64) d))) a) d)
(/.f64 (-.f64 (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d)) a) d)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 d (/.f64 c a)) c)) (/.f64 b c))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))) d)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d))) d)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (fma.f64 b (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))
(-.f64 (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64))) (/.f64 a d))
(pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 c b) d) a)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 (/.f64 (*.f64 a d) c))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
(pow.f64 (/.f64 d (fma.f64 b (/.f64 c d) a)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 b (pow.f64 (cbrt.f64 (/.f64 c d)) #s(literal 3 binary64))) a) d)
(/.f64 (-.f64 (*.f64 b (-.f64 (exp.f64 (log1p.f64 (/.f64 c d))) #s(literal 1 binary64))) a) d)
(/.f64 (-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a) d)
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))) d)
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (*.f64 #s(literal -1 binary64) d)) (neg.f64 (/.f64 a d)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 (/.f64 d c)) #s(literal 3 binary64)) (/.f64 a c))) (/.f64 b c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (sqrt.f64 (pow.f64 c #s(literal 4 binary64))) (*.f64 d d)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 b c)) #s(literal 2 binary64)) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 b (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 a c)))))
(+.f64 (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 3 binary64)))))) (/.f64 b c))
(exp.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 c d) a) d)))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 a d))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d)))
(*.f64 (exp.f64 (neg.f64 (log.f64 (hypot.f64 c d)))) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (hypot.f64 c d)) #s(literal 2 binary64))
(-.f64 (*.f64 b (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b d) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (sqrt.f64 (pow.f64 (/.f64 (fma.f64 c b (*.f64 d a)) (hypot.f64 c d)) #s(literal 2 binary64))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
Outputs
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
Calls

5 calls:

26.0ms
b
19.0ms
a
17.0ms
c
17.0ms
d
16.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
94.9%1a
94.9%1b
94.9%1c
94.9%1d
94.9%1(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes85.0ms (1%)

Counts
55 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 a d))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 #s(literal -1 binary64) a) d)
(/.f64 (/.f64 (*.f64 b c) d) d)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (/.f64 #s(literal 1 binary64) d))
(-.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d))
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)
(/.f64 (-.f64 (*.f64 c (*.f64 b (/.f64 #s(literal 1 binary64) d))) a) d)
(/.f64 (-.f64 (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d)) a) d)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 d (/.f64 c a)) c)) (/.f64 b c))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))) d)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d))) d)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (fma.f64 b (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))
(-.f64 (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64))) (/.f64 a d))
(pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 c b) d) a)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 (/.f64 (*.f64 a d) c))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
(pow.f64 (/.f64 d (fma.f64 b (/.f64 c d) a)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 b (pow.f64 (cbrt.f64 (/.f64 c d)) #s(literal 3 binary64))) a) d)
(/.f64 (-.f64 (*.f64 b (-.f64 (exp.f64 (log1p.f64 (/.f64 c d))) #s(literal 1 binary64))) a) d)
(/.f64 (-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a) d)
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))) d)
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (*.f64 #s(literal -1 binary64) d)) (neg.f64 (/.f64 a d)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 (/.f64 d c)) #s(literal 3 binary64)) (/.f64 a c))) (/.f64 b c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (sqrt.f64 (pow.f64 c #s(literal 4 binary64))) (*.f64 d d)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 b c)) #s(literal 2 binary64)) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 b (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 a c)))))
(+.f64 (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 3 binary64)))))) (/.f64 b c))
(exp.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 c d) a) d)))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 a d))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d)))
(*.f64 (exp.f64 (neg.f64 (log.f64 (hypot.f64 c d)))) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (hypot.f64 c d)) #s(literal 2 binary64))
(-.f64 (*.f64 b (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b d) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (sqrt.f64 (pow.f64 (/.f64 (fma.f64 c b (*.f64 d a)) (hypot.f64 c d)) #s(literal 2 binary64))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
Outputs
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
Calls

5 calls:

19.0ms
a
16.0ms
c
16.0ms
b
14.0ms
d
14.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
91.0%3d
79.3%1(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
83.5%3a
79.3%1b
90.5%5c
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes36.0ms (0.4%)

Counts
54 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 a d))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 #s(literal -1 binary64) a) d)
(/.f64 (/.f64 (*.f64 b c) d) d)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (/.f64 #s(literal 1 binary64) d))
(-.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d))
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)
(/.f64 (-.f64 (*.f64 c (*.f64 b (/.f64 #s(literal 1 binary64) d))) a) d)
(/.f64 (-.f64 (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d)) a) d)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 d (/.f64 c a)) c)) (/.f64 b c))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))) d)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d))) d)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (fma.f64 b (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))
(-.f64 (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64))) (/.f64 a d))
(pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 c b) d) a)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 (/.f64 (*.f64 a d) c))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
(pow.f64 (/.f64 d (fma.f64 b (/.f64 c d) a)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 b (pow.f64 (cbrt.f64 (/.f64 c d)) #s(literal 3 binary64))) a) d)
(/.f64 (-.f64 (*.f64 b (-.f64 (exp.f64 (log1p.f64 (/.f64 c d))) #s(literal 1 binary64))) a) d)
(/.f64 (-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a) d)
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))) d)
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (*.f64 #s(literal -1 binary64) d)) (neg.f64 (/.f64 a d)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 (/.f64 d c)) #s(literal 3 binary64)) (/.f64 a c))) (/.f64 b c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (sqrt.f64 (pow.f64 c #s(literal 4 binary64))) (*.f64 d d)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 b c)) #s(literal 2 binary64)) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 b (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 a c)))))
(+.f64 (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 3 binary64)))))) (/.f64 b c))
(exp.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 c d) a) d)))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 a d))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d)))
(*.f64 (exp.f64 (neg.f64 (log.f64 (hypot.f64 c d)))) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (hypot.f64 c d)) #s(literal 2 binary64))
(-.f64 (*.f64 b (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b d) (neg.f64 (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 d (hypot.f64 c d))))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (sqrt.f64 (pow.f64 (/.f64 (fma.f64 c b (*.f64 d a)) (hypot.f64 c d)) #s(literal 2 binary64))))
Outputs
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(-.f64 (*.f64 b (/.f64 c (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (*.f64 a (/.f64 d (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 d (/.f64 c a)) c)) (/.f64 b c))
Calls

2 calls:

16.0ms
c
15.0ms
d
Results
AccuracySegmentsBranch
87.2%4c
87.2%5d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes18.0ms (0.2%)

Counts
51 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 a d))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 #s(literal -1 binary64) a) d)
(/.f64 (/.f64 (*.f64 b c) d) d)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (/.f64 #s(literal 1 binary64) d))
(-.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d))
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)
(/.f64 (-.f64 (*.f64 c (*.f64 b (/.f64 #s(literal 1 binary64) d))) a) d)
(/.f64 (-.f64 (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d)) a) d)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 d (/.f64 c a)) c)) (/.f64 b c))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))) d)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d))) d)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (fma.f64 b (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))
(-.f64 (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64))) (/.f64 a d))
(pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 c b) d) a)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a d)) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (neg.f64 (/.f64 (*.f64 a d) c))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
(pow.f64 (/.f64 d (fma.f64 b (/.f64 c d) a)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 b (pow.f64 (cbrt.f64 (/.f64 c d)) #s(literal 3 binary64))) a) d)
(/.f64 (-.f64 (*.f64 b (-.f64 (exp.f64 (log1p.f64 (/.f64 c d))) #s(literal 1 binary64))) a) d)
(/.f64 (-.f64 (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d))) a) d)
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 c (sqrt.f64 d)) (/.f64 b (sqrt.f64 d)))) d)
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (*.f64 #s(literal -1 binary64) d)) (neg.f64 (/.f64 a d)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 (/.f64 d c)) #s(literal 3 binary64)) (/.f64 a c))) (/.f64 b c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (sqrt.f64 (pow.f64 c #s(literal 4 binary64))) (*.f64 d d)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 b c)) #s(literal 2 binary64)) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 b (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 a c)))))
(+.f64 (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 a (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 3 binary64)))))) (/.f64 b c))
(exp.f64 (log.f64 (/.f64 (fma.f64 b (/.f64 c d) a) d)))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (/.f64 a d))
(fma.f64 (/.f64 c (hypot.f64 c d)) (/.f64 b (hypot.f64 c d)) (neg.f64 (/.f64 a d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 b c (*.f64 a d)) (hypot.f64 c d)))
(*.f64 (exp.f64 (neg.f64 (log.f64 (hypot.f64 c d)))) (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b c (*.f64 a d))) (hypot.f64 c d)) #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 d (/.f64 c a)) c)) (/.f64 b c))
Calls

1 calls:

15.0ms
c
Results
AccuracySegmentsBranch
86.8%4c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (0.3%)

Counts
24 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 a d))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 #s(literal -1 binary64) a) d)
(/.f64 (/.f64 (*.f64 b c) d) d)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (/.f64 #s(literal 1 binary64) d))
(-.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d))
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)
(/.f64 (-.f64 (*.f64 c (*.f64 b (/.f64 #s(literal 1 binary64) d))) a) d)
(/.f64 (-.f64 (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d)) a) d)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 d (/.f64 c a)) c)) (/.f64 b c))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))) d)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d))) d)
Outputs
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 d (/.f64 c a)) c)) (/.f64 b c))
Calls

3 calls:

8.0ms
c
8.0ms
a
7.0ms
d
Results
AccuracySegmentsBranch
61.4%3a
77.3%3d
83.5%3c
Compiler

Compiled 15 to 12 computations (20% saved)

regimes8.0ms (0.1%)

Counts
20 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 a d))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 #s(literal -1 binary64) a) d)
(/.f64 (/.f64 (*.f64 b c) d) d)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (/.f64 #s(literal 1 binary64) d))
(-.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d))
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)
(/.f64 (-.f64 (*.f64 c (*.f64 b (/.f64 #s(literal 1 binary64) d))) a) d)
(/.f64 (-.f64 (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d)) a) d)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
Outputs
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (/.f64 a c))) (/.f64 b c))
Calls

1 calls:

6.0ms
c
Results
AccuracySegmentsBranch
83.1%3c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes74.0ms (0.9%)

Counts
19 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 a d))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 #s(literal -1 binary64) a) d)
(/.f64 (/.f64 (*.f64 b c) d) d)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (/.f64 #s(literal 1 binary64) d))
(-.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d))
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b c) d)) d)
(/.f64 (-.f64 (*.f64 c (*.f64 b (/.f64 #s(literal 1 binary64) d))) a) d)
(/.f64 (-.f64 (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d)) a) d)
Outputs
(/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(/.f64 (+.f64 b (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) c))) c)
Calls

2 calls:

67.0ms
b
6.0ms
c
Results
AccuracySegmentsBranch
59.1%2b
80.8%3c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.1%)

Counts
15 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 a d))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 #s(literal -1 binary64) a) d)
(/.f64 (/.f64 (*.f64 b c) d) d)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (/.f64 #s(literal 1 binary64) d))
(-.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d))
(/.f64 (*.f64 b c) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 b c)
(/.f64 (-.f64 (/.f64 b (/.f64 d c)) a) d)
(/.f64 b c)
Calls

2 calls:

5.0ms
c
5.0ms
d
Results
AccuracySegmentsBranch
66.2%3d
76.7%3c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 a d))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 #s(literal -1 binary64) a) d)
(/.f64 (/.f64 (*.f64 b c) d) d)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
Outputs
(/.f64 b c)
(/.f64 (-.f64 (*.f64 b (/.f64 c d)) a) d)
(/.f64 b c)
Calls

1 calls:

4.0ms
c
Results
AccuracySegmentsBranch
76.7%3c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 a d))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 b (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 #s(literal -1 binary64) a) d)
(/.f64 (/.f64 (*.f64 b c) d) d)
Outputs
(/.f64 b c)
(*.f64 #s(literal -1 binary64) (/.f64 a d))
(/.f64 b c)
Calls

1 calls:

4.0ms
c
Results
AccuracySegmentsBranch
67.4%3c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
(/.f64 b c)
(*.f64 #s(literal -1 binary64) (/.f64 a c))
Outputs
(/.f64 a d)
(/.f64 b c)
(/.f64 a d)
Calls

4 calls:

2.0ms
c
2.0ms
d
2.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
40.5%1b
40.5%1a
46.5%3d
40.5%1c
Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0.1%)

Counts
2 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 a d)
Outputs
(/.f64 a d)
(/.f64 a c)
(/.f64 a d)
Calls

4 calls:

2.0ms
d
2.0ms
c
2.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
14.8%3b
13.6%2c
15.7%2a
17.3%3d
Compiler

Compiled 20 to 16 computations (20% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 a c)
Outputs
(/.f64 a c)
Calls

4 calls:

1.0ms
a
1.0ms
d
1.0ms
c
1.0ms
b
Results
AccuracySegmentsBranch
10.7%1b
10.7%1c
10.7%1a
10.7%1d
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch35.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
4.614537499371551e+122
6.368352313645979e+125
15.0ms
-5.632733841139574e+117
-2.1668281644988165e+115
Results
23.0ms256×0valid
Compiler

Compiled 762 to 417 computations (45.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (64.2% of total)
ival-div: 2.0ms (16% of total)
ival-sub: 1.0ms (8% of total)
ival-add: 1.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
7.714320542311377e+158
1.467516486518115e+165
14.0ms
1.638933327051159e-142
3.347352984364115e-141
7.0ms
-14907904364415.553
-7665410507038.571
Results
27.0ms320×0valid
Compiler

Compiled 798 to 480 computations (39.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (56.2% of total)
ival-div: 3.0ms (18.7% of total)
ival-sub: 1.0ms (6.2% of total)
ival-add: 1.0ms (6.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.2344877440614587e+97
2.601787317071276e+100
19.0ms
3.347352984364115e-141
7.024476563056052e-131
7.0ms
-14907904364415.553
-7665410507038.571
Results
30.0ms352×0valid
Compiler

Compiled 798 to 503 computations (37% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 10.0ms (56.6% of total)
ival-add: 3.0ms (17% of total)
ival-sub: 2.0ms (11.3% of total)
ival-div: 2.0ms (11.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.570925229951847
93724.1139941993
7.0ms
-14907904364415.553
-7665410507038.571
Results
18.0ms192×0valid
Compiler

Compiled 410 to 269 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (71.8% of total)
ival-sub: 1.0ms (9% of total)
ival-div: 1.0ms (9% of total)
ival-add: 1.0ms (9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.570925229951847
93724.1139941993
9.0ms
-14907904364415.553
-7665410507038.571
Results
17.0ms192×0valid
Compiler

Compiled 410 to 269 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (54.6% of total)
ival-div: 3.0ms (27.3% of total)
ival-sub: 1.0ms (9.1% of total)
ival-add: 1.0ms (9.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.570925229951847
93724.1139941993
7.0ms
-14907904364415.553
-7665410507038.571
Results
18.0ms192×0valid
Compiler

Compiled 386 to 257 computations (33.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (67.6% of total)
ival-sub: 1.0ms (11.3% of total)
ival-div: 1.0ms (11.3% of total)
ival-add: 1.0ms (11.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
3.3369480144036367e+40
3.855224945308707e+40
13.0ms
-1.7899762794152023e+155
-9.737835973356861e+152
Results
12.0ms144×0valid
Compiler

Compiled 224 to 152 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (59% of total)
ival-sub: 1.0ms (14.7% of total)
ival-div: 1.0ms (14.7% of total)
ival-add: 1.0ms (14.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
3.3369480144036367e+40
3.855224945308707e+40
12.0ms
-1.7899762794152023e+155
-9.737835973356861e+152
Results
12.0ms144×0valid
Compiler

Compiled 224 to 152 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (59.7% of total)
ival-sub: 1.0ms (14.9% of total)
ival-div: 1.0ms (14.9% of total)
ival-add: 1.0ms (14.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
2.3627521548799637e+25
1.7332132183128314e+29
7.0ms
-14907904364415.553
-7665410507038.571
Results
15.0ms192×0valid
Compiler

Compiled 242 to 185 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (66% of total)
ival-sub: 1.0ms (11% of total)
ival-div: 1.0ms (11% of total)
ival-add: 1.0ms (11% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.7053873237046992e+229
1.568808106205063e+232
6.0ms
-1.685971855291746e+167
-1.1613727954793717e+167
Results
20.0ms176×0valid
Compiler

Compiled 202 to 149 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 11.0ms (77.1% of total)
ival-sub: 1.0ms (7% of total)
ival-div: 1.0ms (7% of total)
ival-add: 1.0ms (7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch188.0ms (2.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
173.0ms
2.69676499587134e+104
1.5168477064874342e+109
13.0ms
-6.816050438511718e+146
-2.9024853684682083e+145
Results
178.0ms240×0valid
Compiler

Compiled 266 to 197 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-mult: 166.0ms (97.8% of total)
ival-div: 2.0ms (1.2% of total)
ival-sub: 1.0ms (0.6% of total)
ival-add: 1.0ms (0.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

soundness481.0ms (5.8%)

Rules
920×log1p-expm1-u
920×expm1-log1p-u
297×fma-neg
289×log1p-expm1-u
289×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036530
1630499
039603
1642573
025273
1385238
24625238
Stop Event
fuel
node limit
node limit
node limit
Compiler

Compiled 1645 to 406 computations (75.3% saved)

preprocess123.0ms (1.5%)

Compiler

Compiled 1006 to 318 computations (68.4% saved)

end0.0ms (0%)

Profiling

Loading profile data...