Complex division, real part

Time bar (total: 7.6s)

analyze159.0ms (2.1%)

Algorithm
1×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: 142.0ms
ival-mult: 137.0ms (96.8% of total)
ival-add: 3.0ms (2.1% of total)
ival-div: 1.0ms (0.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (16.4%)

Results
848.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 393.0ms
ival-mult: 249.0ms (63.3% of total)
ival-add: 75.0ms (19.1% of total)
ival-div: 57.0ms (14.5% of total)
const: 9.0ms (2.3% of total)
backward-pass: 3.0ms (0.8% of total)
Bogosity

preprocess396.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
1573×fma-neg
912×fma-define
864×times-frac
552×div-sub
333×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070976
1162976
2263976
3486976
41176976
53121976
64441976
75612976
86468976
96875976
107003976
117173976
127627976
137627976
147627976
157627976
167987976
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 (neg.f64 a) c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 (neg.f64 b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a (neg.f64 c)) (*.f64 b d)) (+.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b (neg.f64 d))) (+.f64 (*.f64 c c) (*.f64 (neg.f64 d) (neg.f64 d))))
(neg.f64 (/.f64 (+.f64 (*.f64 (neg.f64 a) c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(neg.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 (neg.f64 b) d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(neg.f64 (/.f64 (+.f64 (*.f64 a (neg.f64 c)) (*.f64 b d)) (+.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 d d))))
(neg.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b (neg.f64 d))) (+.f64 (*.f64 c c) (*.f64 (neg.f64 d) (neg.f64 d)))))
(/.f64 (+.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 a a) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 d c) (*.f64 b a)) (+.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (+.f64 (*.f64 a b) (*.f64 c d)) (+.f64 (*.f64 b b) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 b b)))
(/.f64 (+.f64 (*.f64 a d) (*.f64 b c)) (+.f64 (*.f64 d d) (*.f64 c c)))
Outputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 (neg.f64 a) c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a (neg.f64 c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 (neg.f64 b) d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b (neg.f64 d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a (neg.f64 c)) (*.f64 b d)) (+.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 d d)))
(/.f64 (fma.f64 a (neg.f64 c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b (neg.f64 d))) (+.f64 (*.f64 c c) (*.f64 (neg.f64 d) (neg.f64 d))))
(/.f64 (fma.f64 a c (*.f64 b (neg.f64 d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 (+.f64 (*.f64 (neg.f64 a) c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(/.f64 (fma.f64 a c (*.f64 b (neg.f64 d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 (neg.f64 b) d)) (+.f64 (*.f64 c c) (*.f64 d d))))
(/.f64 (fma.f64 a (neg.f64 c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 (+.f64 (*.f64 a (neg.f64 c)) (*.f64 b d)) (+.f64 (*.f64 (neg.f64 c) (neg.f64 c)) (*.f64 d d))))
(/.f64 (fma.f64 a c (*.f64 b (neg.f64 d))) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b (neg.f64 d))) (+.f64 (*.f64 c c) (*.f64 (neg.f64 d) (neg.f64 d)))))
(/.f64 (fma.f64 a (neg.f64 c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 c a) (*.f64 b d)) (+.f64 (*.f64 a a) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 a a (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 d d (*.f64 a a)))
(/.f64 (+.f64 (*.f64 d c) (*.f64 b a)) (+.f64 (*.f64 c c) (*.f64 a a)))
(/.f64 (fma.f64 a b (*.f64 c d)) (fma.f64 c c (*.f64 a a)))
(/.f64 (fma.f64 a b (*.f64 c d)) (fma.f64 a a (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a b) (*.f64 c d)) (+.f64 (*.f64 b b) (*.f64 d d)))
(/.f64 (fma.f64 a b (*.f64 c d)) (fma.f64 b b (*.f64 d d)))
(/.f64 (fma.f64 a b (*.f64 c d)) (fma.f64 d d (*.f64 b b)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 b b)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 b b)))
(/.f64 (+.f64 (*.f64 a d) (*.f64 b c)) (+.f64 (*.f64 d d) (*.f64 c c)))
(/.f64 (fma.f64 a d (*.f64 c b)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c c (*.f64 d d)))

explain197.0ms (2.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1090-2(1.2748909937109898e-224 7.844717158725951e-87 -6.337789957192821e-276 1.6328418587858537e-158)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
10-0-(+.f64 (*.f64 a c) (*.f64 b d))
00-0-b
00-0-(*.f64 b d)
00-0-c
00-0-(*.f64 a 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
53.0ms512×0valid
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 16.0ms (67% of total)
ival-add: 4.0ms (16.8% of total)
ival-div: 3.0ms (12.6% of total)
const: 1.0ms (4.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶59.3%
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
▶59.3%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 36 to 20 computations (44.4% saved)

localize164.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 c c (*.f64 d d))
✓cost-diff0
(*.f64 b d)
✓cost-diff0
(fma.f64 a c (*.f64 b d))
✓cost-diff0
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
✓cost-diff0
(*.f64 d d)
✓cost-diff0
(*.f64 c c)
✓cost-diff0
(*.f64 b d)
✓cost-diff0
(*.f64 a c)
✓accuracy100.0%
(*.f64 b d)
✓accuracy100.0%
(fma.f64 c c (*.f64 d d))
✓accuracy99.6%
(fma.f64 a c (*.f64 b d))
✓accuracy59.7%
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
✓accuracy100.0%
(*.f64 a c)
✓accuracy100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
✓accuracy99.7%
(+.f64 (*.f64 a c) (*.f64 b d))
✓accuracy59.7%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Rules
6×fma-define
2×*-commutative
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022336
126336
230336
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(fma.f64 a c (*.f64 b d))
a
c
(*.f64 b d)
b
d
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
Outputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(*.f64 d d)
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(fma.f64 a c (*.f64 b d))
a
c
(*.f64 b d)
b
d
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 d d)
Results
139.0ms256×0valid
Compiler

Compiled 85 to 15 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 16.0ms (50.6% of total)
ival-mult: 7.0ms (22.1% of total)
ival-fma: 5.0ms (15.8% of total)
ival-add: 2.0ms (6.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series60.0ms (0.8%)

Counts
10 → 252
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (+.f64 (*.f64 c c) (*.f64 d d))>
#<alt (*.f64 a c)>
#<alt (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))>
#<alt (fma.f64 a c (*.f64 b d))>
#<alt (fma.f64 c c (*.f64 d d))>
#<alt (*.f64 b d)>
#<alt (*.f64 c c)>
#<alt (*.f64 d d)>
Outputs
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (*.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 a (+.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 a c) (+.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 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) (*.f64 a (+.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 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) (*.f64 a (+.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 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))>
#<alt (/.f64 b d)>
#<alt (+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))>
#<alt (+.f64 (*.f64 c (+.f64 (*.f64 c (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))>
#<alt (/.f64 a c)>
#<alt (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)>
#<alt (/.f64 (+.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) (/.f64 (*.f64 b d) c))) c)>
#<alt (/.f64 (-.f64 (+.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b d) c))) (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) c)>
#<alt (/.f64 a c)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))) c))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) c)) (*.f64 b d)) c))) c))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b (pow.f64 d #s(literal 3 binary64))) c) (*.f64 #s(literal -1 binary64) (*.f64 a (pow.f64 d #s(literal 2 binary64))))) c)) (*.f64 b d)) c))) c))>
#<alt (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (*.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
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#<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 (*.f64 a (pow.f64 c #s(literal 3 binary64))) d) (*.f64 #s(literal -1 binary64) (*.f64 b (pow.f64 c #s(literal 2 binary64))))) d)) (*.f64 a c)) d))) d))>
#<alt (*.f64 b d)>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (*.f64 a c)>
#<alt (*.f64 a (+.f64 c (/.f64 (*.f64 b d) a)))>
#<alt (*.f64 a (+.f64 c (/.f64 (*.f64 b d) a)))>
#<alt (*.f64 a (+.f64 c (/.f64 (*.f64 b d) a)))>
#<alt (*.f64 a c)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) a)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) a)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) c) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) a)))))>
#<alt (*.f64 b d)>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (*.f64 a c)>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 b d) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 b d) c)))>
#<alt (*.f64 c (+.f64 a (/.f64 (*.f64 b d) c)))>
#<alt (*.f64 a c)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c)))))>
#<alt (*.f64 a c)>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (*.f64 b d)>
#<alt (*.f64 b (+.f64 d (/.f64 (*.f64 a c) b)))>
#<alt (*.f64 b (+.f64 d (/.f64 (*.f64 a c) b)))>
#<alt (*.f64 b (+.f64 d (/.f64 (*.f64 a c) b)))>
#<alt (*.f64 b d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) d) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) b)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) d) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) b)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) d) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) b)))))>
#<alt (*.f64 a c)>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (*.f64 b d)>
#<alt (*.f64 d (+.f64 b (/.f64 (*.f64 a c) d)))>
#<alt (*.f64 d (+.f64 b (/.f64 (*.f64 a c) d)))>
#<alt (*.f64 d (+.f64 b (/.f64 (*.f64 a c) d)))>
#<alt (*.f64 b d)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 d (+.f64 (*.f64 #s(literal -1 binary64) b) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) d)))))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 c #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))))>
#<alt (pow.f64 c #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (pow.f64 d #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 d #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #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 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

78 calls:

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

rewrite391.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
822×log1p-expm1-u
822×expm1-log1p-u
503×fma-define
241×fma-neg
218×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022260
1267240
23557240
Stop Event
1×node limit
Counts
10 → 322
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 a c)
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(fma.f64 a c (*.f64 b d))
(fma.f64 c c (*.f64 d d))
(*.f64 b d)
(*.f64 c c)
(*.f64 d d)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(*.f64 (neg.f64 (fma.f64 a c (*.f64 b 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 a c (*.f64 b d)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 a c (*.f64 b 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 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 a c (*.f64 b 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 a c (*.f64 b d)) (-.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))))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b 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 a c (*.f64 b d))) (hypot.f64 c d)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b 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 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 b d)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (*.f64 (neg.f64 d) b))) (/.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 (neg.f64 d) b))))
(*.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))
(*.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a c (*.f64 b d))))
(*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (sqrt.f64 (fma.f64 a c (*.f64 b d))))
(*.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 (neg.f64 d) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 a (*.f64 c (*.f64 b d))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 a c (*.f64 (neg.f64 d) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
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(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 a c (*.f64 b 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 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 b d) (*.f64 a c))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 b d)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (*.f64 (neg.f64 d) b))) (/.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 (neg.f64 d) b))))
(*.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))
(*.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a c (*.f64 b d))))
(*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (sqrt.f64 (fma.f64 a c (*.f64 b d))))
(*.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 (neg.f64 d) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (*.f64 a (*.f64 c (*.f64 b d))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 a c (*.f64 (neg.f64 d) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) (neg.f64 (fma.f64 a c (*.f64 (neg.f64 d) b))))
(/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (-.f64 (*.f64 b d) (*.f64 a c)))
(pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a c (*.f64 b d)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 a) c) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b d)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a c))) (pow.f64 (exp.f64 d) b)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a c))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b d)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 d) b) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a c)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b d))) (pow.f64 (exp.f64 a) c)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b d))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a c)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)))
(+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))
(+.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(*.f64 (hypot.f64 c d) (hypot.f64 c d))
(*.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (/.f64 #s(literal 1 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 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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)))))
(/.f64 (+.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 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (+.f64 (pow.f64 d #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64)))))
(/.f64 (-.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))))
(/.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (neg.f64 (-.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 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (-.f64 (pow.f64 d #s(literal 2 binary64)) (pow.f64 c #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 c d) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 c #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 d #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 c #s(literal 2 binary64)))) (exp.f64 (pow.f64 d #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 c #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 d #s(literal 2 binary64))))))
(log.f64 (*.f64 (exp.f64 (pow.f64 d #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 c #s(literal 2 binary64))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 d #s(literal 2 binary64)))) (exp.f64 (pow.f64 c #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 d #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 c #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b d))) #s(literal 1 binary64))
(pow.f64 (*.f64 b d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 b d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 b d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 d) b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b d))))
(cbrt.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 b d)))
(log1p.f64 (expm1.f64 (*.f64 b d)))
(exp.f64 (log.f64 (*.f64 b d)))
(exp.f64 (*.f64 (log.f64 (*.f64 b d)) #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))
(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)))

eval64.0ms (0.8%)

Compiler

Compiled 11318 to 984 computations (91.3% saved)

prune72.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New60013613
Fresh000
Picked202
Done000
Total60213615
Accuracy
95.7%
Counts
615 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.8%
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) #s(literal 2 binary64))
33.8%
(/.f64 (+.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (*.f64 b d)) #s(literal 2 binary64))) (+.f64 (*.f64 c c) (*.f64 d d)))
50.2%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (sqrt.f64 (pow.f64 d #s(literal 4 binary64)))))
▶50.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)))
▶52.4%
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
53.1%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
36.8%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
39.9%
(/.f64 b d)
▶46.0%
(/.f64 a c)
▶40.3%
(+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
72.8%
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
▶73.5%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
47.9%
(*.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 c #s(literal 2 binary64))) d)) (*.f64 a c)) d))) d))
Compiler

Compiled 474 to 290 computations (38.8% saved)

localize577.0ms (7.5%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))
✓cost-diff64
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64))))
✓cost-diff256
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))
✓cost-diff256
(*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))))
✓cost-diff0
(pow.f64 c #s(literal 6 binary64))
✓cost-diff0
(cbrt.f64 (pow.f64 c #s(literal 6 binary64)))
✓cost-diff0
(*.f64 b d)
✓cost-diff0
(*.f64 a c)
✓cost-diff-6272
(+.f64 b (/.f64 (*.f64 a c) d))
✓cost-diff-6272
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
✓cost-diff0
(*.f64 a c)
✓cost-diff0
(/.f64 (*.f64 a c) d)
✓cost-diff0
(/.f64 a c)
✓cost-diff0
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
✓cost-diff0
(hypot.f64 c d)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
✓cost-diff192
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
✓accuracy90.9%
(*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))))
✓accuracy89.9%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))
✓accuracy88.6%
(/.f64 a (pow.f64 d #s(literal 2 binary64)))
✓accuracy83.0%
(/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))
✓accuracy100.0%
(+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d))
✓accuracy99.7%
(+.f64 (*.f64 a c) (*.f64 b d))
✓accuracy74.2%
(cbrt.f64 (pow.f64 c #s(literal 6 binary64)))
✓accuracy59.7%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)))
✓accuracy100.0%
(*.f64 a c)
✓accuracy100.0%
(+.f64 b (/.f64 (*.f64 a c) d))
✓accuracy98.8%
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
✓accuracy89.3%
(/.f64 (*.f64 a c) d)
✓accuracy100.0%
(/.f64 a c)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
✓accuracy99.6%
(fma.f64 a c (*.f64 b d))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
✓accuracy74.4%
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
Rules
677×fma-define
662×times-frac
540×fma-neg
440×unsub-neg
389×div-sub
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
045878
188856
2190856
3601841
41496837
52255837
63888831
75188831
86329831
97606831
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b 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 a c (*.f64 b d)) (hypot.f64 c d))
(fma.f64 a c (*.f64 b d))
a
(*.f64 b d)
b
(/.f64 a c)
a
c
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+.f64 b (/.f64 (*.f64 a c) d))
b
(/.f64 (*.f64 a c) d)
(*.f64 a c)
a
c
d
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d))
(cbrt.f64 (pow.f64 c #s(literal 6 binary64)))
(pow.f64 c #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 d d)
(+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))))
c
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64))))
#s(literal -1 binary64)
(/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))
(*.f64 b c)
b
(pow.f64 d #s(literal 3 binary64))
d
#s(literal 3 binary64)
(/.f64 a (pow.f64 d #s(literal 2 binary64)))
a
(pow.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 b d)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)))
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 (hypot.f64 c d) (hypot.f64 c d)))
(/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c c (pow.f64 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 a c (*.f64 b d)) (hypot.f64 c d))
(/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))
(/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))
(fma.f64 a c (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(fma.f64 c a (*.f64 d b))
a
(*.f64 b d)
(*.f64 d b)
b
(/.f64 a c)
a
c
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 b (/.f64 (*.f64 a c) d))
(+.f64 b (/.f64 (*.f64 c a) d))
(fma.f64 a (/.f64 c d) b)
(fma.f64 c (/.f64 a d) b)
b
(/.f64 (*.f64 a c) d)
(/.f64 (*.f64 c a) d)
(*.f64 c (/.f64 a d))
(*.f64 a c)
(*.f64 c a)
a
c
d
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)))
(/.f64 (fma.f64 a c (*.f64 d b)) (+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 2 binary64))))
(/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 d d (cbrt.f64 (pow.f64 c #s(literal 6 binary64)))))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(fma.f64 c a (*.f64 d b))
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 b d)
(*.f64 d b)
b
d
(+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d))
(+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (pow.f64 d #s(literal 2 binary64)))
(fma.f64 d d (cbrt.f64 (pow.f64 c #s(literal 6 binary64))))
(cbrt.f64 (pow.f64 c #s(literal 6 binary64)))
(pow.f64 c #s(literal 6 binary64))
#s(literal 6 binary64)
(*.f64 d d)
(pow.f64 d #s(literal 2 binary64))
(+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(fma.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(fma.f64 c (-.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(+.f64 (*.f64 (/.f64 c (pow.f64 d #s(literal 2 binary64))) (-.f64 a (*.f64 c (/.f64 b d)))) (/.f64 b d))
(fma.f64 (/.f64 c (pow.f64 d #s(literal 2 binary64))) (fma.f64 c (/.f64 b (neg.f64 d)) a) (/.f64 b d))
(fma.f64 (/.f64 c (pow.f64 d #s(literal 2 binary64))) (fma.f64 c (/.f64 (neg.f64 b) d) a) (/.f64 b d))
(*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))))
(*.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))))
(*.f64 c (-.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))))
(*.f64 (/.f64 c (pow.f64 d #s(literal 2 binary64))) (-.f64 a (*.f64 c (/.f64 b d))))
(*.f64 (/.f64 c (pow.f64 d #s(literal 2 binary64))) (fma.f64 c (/.f64 b (neg.f64 d)) a))
(*.f64 c (/.f64 (fma.f64 c (/.f64 (neg.f64 b) d) a) (pow.f64 d #s(literal 2 binary64))))
c
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))
(-.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))))
(fma.f64 b (/.f64 c (neg.f64 (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))
(/.f64 (fma.f64 c (/.f64 b (neg.f64 d)) a) (pow.f64 d #s(literal 2 binary64)))
(/.f64 (fma.f64 c (/.f64 (neg.f64 b) d) a) (pow.f64 d #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64))))
(neg.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))))
(*.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 c b)) (pow.f64 d #s(literal 3 binary64)))
(/.f64 (*.f64 c b) (neg.f64 (pow.f64 d #s(literal 3 binary64))))
#s(literal -1 binary64)
(/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))
(*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))
(*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64))))
(*.f64 b c)
(*.f64 c b)
b
(pow.f64 d #s(literal 3 binary64))
d
#s(literal 3 binary64)
(/.f64 a (pow.f64 d #s(literal 2 binary64)))
a
(pow.f64 d #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 b d)
Results
301.0ms256×0valid
Compiler

Compiled 231 to 37 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 16.0ms (25.7% of total)
ival-div: 15.0ms (24.1% of total)
ival-pow: 15.0ms (24.1% of total)
ival-add: 6.0ms (9.7% of total)
ival-hypot: 5.0ms (8% of total)
ival-fma: 3.0ms (4.8% of total)
ival-cbrt: 2.0ms (3.2% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series94.0ms (1.2%)

Counts
21 → 474
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))>
#<alt (fma.f64 a c (*.f64 b d))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 c d))>
#<alt (/.f64 a c)>
#<alt (/.f64 (*.f64 a c) d)>
#<alt (/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)>
#<alt (+.f64 b (/.f64 (*.f64 a c) d))>
#<alt (*.f64 a c)>
#<alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)))>
#<alt (cbrt.f64 (pow.f64 c #s(literal 6 binary64)))>
#<alt (+.f64 (*.f64 a c) (*.f64 b d))>
#<alt (+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d))>
#<alt (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))>
#<alt (/.f64 a (pow.f64 d #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))>
#<alt (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))))>
#<alt (hypot.f64 c d)>
#<alt (*.f64 b d)>
#<alt (pow.f64 c #s(literal 6 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64))))>
Outputs
#<alt (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 b d) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))>
#<alt (*.f64 a (+.f64 (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 b d) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))>
#<alt (*.f64 a (+.f64 (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 b d) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 c (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 b d) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 c (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 b d) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 c (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 b d) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))))>
#<alt b>
#<alt (+.f64 b (/.f64 (*.f64 a c) d))>
#<alt (+.f64 b (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64)))) (/.f64 a d))))>
#<alt (+.f64 b (*.f64 c (+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 d #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 3 binary64)))))) (/.f64 a d))))>
#<alt a>
#<alt (+.f64 a (/.f64 (*.f64 b d) c))>
#<alt (+.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) (/.f64 (*.f64 b d) c)))>
#<alt (+.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b d) c))))>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) c)) (*.f64 b d)) c)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 d #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 3 binary64))) c))) c)) (*.f64 b d)) c)))>
#<alt (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 b d) (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 (+.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 a c) 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 (+.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 a c) 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 (+.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 a c) 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 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 a c) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b (pow.f64 d #s(literal 2 binary64))))) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b (pow.f64 d #s(literal 2 binary64))))) (/.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (pow.f64 c #s(literal 2 binary64)))) (*.f64 a (*.f64 c d))) (pow.f64 d #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (pow.f64 c #s(literal 2 binary64)))) (*.f64 a (*.f64 c d))) (pow.f64 d #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 b (pow.f64 c #s(literal 2 binary64)))) (*.f64 a (*.f64 c d))) (pow.f64 d #s(literal 3 binary64)))>
#<alt (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) d)) (*.f64 a c)) (pow.f64 d #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) d)) (*.f64 a c)) (pow.f64 d #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) d)) (*.f64 a c)) (pow.f64 d #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) d)) (*.f64 a c)) (pow.f64 d #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) d)) (*.f64 a c)) (pow.f64 d #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) d)) (*.f64 a c)) (pow.f64 d #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 3 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 3 binary64)))) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64)))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (*.f64 a (pow.f64 d #s(literal 3 binary64))))) (/.f64 c (pow.f64 d #s(literal 2 binary64)))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (*.f64 a (pow.f64 d #s(literal 3 binary64))))) (/.f64 c (pow.f64 d #s(literal 2 binary64)))))>
#<alt (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (*.f64 a (pow.f64 d #s(literal 3 binary64))))) (/.f64 c (pow.f64 d #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 a c) (pow.f64 d #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (*.f64 a (pow.f64 d #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (*.f64 a (pow.f64 d #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (*.f64 a (pow.f64 d #s(literal 3 binary64)))))))>
#<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)))))))))>
Calls

183 calls:

TimeVariablePointExpression
6.0ms
d
@inf
(sqrt (+ (* c c) (* d d)))
5.0ms
d
@0
(/ 1 (sqrt (+ (* c c) (* d d))))
4.0ms
d
@-inf
(+ (* a c) (* b d))
3.0ms
a
@-inf
(/ (* a c) d)
1.0ms
d
@0
(/ (* b c) (pow d 3))

rewrite178.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
308×log1p-expm1-u
308×expm1-log1p-u
299×add-cube-cbrt
294×add-exp-log
294×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043634
1691576
Stop Event
1×node limit
Counts
21 → 568
Calls
Call 1
Inputs
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(fma.f64 a c (*.f64 b d))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
(/.f64 a c)
(/.f64 (*.f64 a c) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+.f64 b (/.f64 (*.f64 a c) d))
(*.f64 a c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)))
(cbrt.f64 (pow.f64 c #s(literal 6 binary64)))
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d))
(/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))
(/.f64 a (pow.f64 d #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))
(*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))))
(hypot.f64 c d)
(*.f64 b d)
(pow.f64 c #s(literal 6 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))
(*.f64 (fma.f64 b d (*.f64 a c)) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (/.f64 (fma.f64 b d (*.f64 a c)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (/.f64 (fma.f64 b d (*.f64 a c)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 b d (*.f64 a c))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b d (*.f64 a c))) (cbrt.f64 (hypot.f64 c d))))
(pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 b d (*.f64 a 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 (fma.f64 b d (*.f64 a c)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal -2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 b d (*.f64 a c))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (/.f64 (hypot.f64 c d) #s(literal 1 binary64))))
(/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 (/.f64 (hypot.f64 c d) #s(literal 1 binary64)) (hypot.f64 c d)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c))) (neg.f64 (hypot.f64 c d))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) (fma.f64 b d (*.f64 a c)))))
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (neg.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (fma.f64 b d (*.f64 a c))) (hypot.f64 c d))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (*.f64 (*.f64 a c) (*.f64 b d)))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b d (*.f64 a c)))) (*.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b d (*.f64 a c)))) (*.f64 (/.f64 (hypot.f64 c d) #s(literal 1 binary64)) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 (fma.f64 b d (*.f64 a c)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 b d (*.f64 a c)) #s(literal 1 binary64)) (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) #s(literal 1 binary64))))
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(pow.f64 (*.f64 c (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 c (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 c (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 c (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 c (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 c) (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 c (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))))))))
(cbrt.f64 (pow.f64 (*.f64 c (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 c (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 c (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))))))
(exp.f64 (log.f64 (*.f64 c (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 c (fma.f64 a (pow.f64 d #s(literal -2 binary64)) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))))) #s(literal 1 binary64)))
(fma.f64 c (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (*.f64 c (*.f64 a (pow.f64 d #s(literal -2 binary64)))))
(fma.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) c (*.f64 (*.f64 a (pow.f64 d #s(literal -2 binary64))) c))
(-.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)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (cbrt.f64 (pow.f64 c #s(literal 12 binary64))) (pow.f64 d #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 c #s(literal 12 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 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 (exp.f64 (log1p.f64 (*.f64 b d))) #s(literal 1 binary64))
(pow.f64 (*.f64 b d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 b d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 b d)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 d) b))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b d))))
(cbrt.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 b d)))
(log1p.f64 (expm1.f64 (*.f64 b d)))
(exp.f64 (log.f64 (*.f64 b d)))
(exp.f64 (*.f64 (log.f64 (*.f64 b d)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 c #s(literal 6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 6 binary64)))
(*.f64 (pow.f64 c #s(literal 2 binary64)) (cbrt.f64 (pow.f64 c #s(literal 12 binary64))))
(*.f64 (cbrt.f64 (pow.f64 c #s(literal 12 binary64))) (pow.f64 c #s(literal 2 binary64)))
(*.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (cbrt.f64 c) #s(literal 6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 c) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 c) #s(literal 6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 c #s(literal 12 binary64)))) #s(literal 3 binary64)) (pow.f64 c #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 c #s(literal 12 binary64)))
(log.f64 (exp.f64 (pow.f64 c #s(literal 6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 c #s(literal 6 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 c #s(literal 6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 c #s(literal 6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 c #s(literal 6 binary64))))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 c)))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 c)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 c #s(literal 2 binary64))) #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c b)))
(/.f64 (*.f64 c b) (pow.f64 d #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c b))))
(/.f64 (neg.f64 (*.f64 c b)) (neg.f64 (pow.f64 d #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 c b)) (pow.f64 d #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 c b))) (neg.f64 (pow.f64 d #s(literal 3 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 c b))) (neg.f64 (neg.f64 (pow.f64 d #s(literal 3 binary64)))))
(pow.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 c b)) d) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 c b)) (pow.f64 d #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 c b)) #s(literal -1 binary64))
(neg.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 d #s(literal 6 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 c) b) (pow.f64 d #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (pow.f64 d #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))))
(exp.f64 (log.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))) #s(literal 1 binary64)))

eval239.0ms (3.1%)

Compiler

Compiled 22515 to 2780 computations (87.7% saved)

prune316.0ms (4.1%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1091221113
Fresh448
Picked415
Done000
Total1099271126
Accuracy
99.0%
Counts
1126 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.8%
(pow.f64 (/.f64 c a) #s(literal -1 binary64))
41.2%
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) d) d)
22.3%
(/.f64 (/.f64 (*.f64 a c) d) d)
33.8%
(/.f64 (+.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (*.f64 b d)) #s(literal 2 binary64))) (+.f64 (*.f64 c c) (*.f64 d d)))
▶54.4%
(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
54.6%
(/.f64 (+.f64 b (*.f64 (/.f64 a (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 c (cbrt.f64 d)))) d)
54.8%
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
53.1%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
36.8%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
▶39.9%
(/.f64 b d)
✓46.0%
(/.f64 a c)
73.1%
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c)))))
47.7%
(+.f64 (*.f64 c (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
▶42.6%
(+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)))) (/.f64 b d))
34.7%
(+.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
54.6%
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
▶73.4%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
72.8%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
47.5%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (*.f64 a c) (hypot.f64 c d)))
29.5%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
34.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))
31.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 a (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c)))))
▶30.2%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) b))
28.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) a))
25.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) b)
32.0%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
45.9%
(*.f64 a (/.f64 #s(literal 1 binary64) c))
Compiler

Compiled 843 to 551 computations (34.6% saved)

localize254.0ms (3.3%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d))
✓cost-diff448
(+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)))) (/.f64 b d))
✓cost-diff6592
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)))
✓cost-diff6720
(*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d))))
✓cost-diff-6336
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
✓cost-diff0
(hypot.f64 c d)
✓cost-diff64
(*.f64 #s(literal -1 binary64) b)
✓cost-diff192
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) b))
✓cost-diff-6144
(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
✓cost-diff0
(/.f64 a d)
✓cost-diff128
(/.f64 c #s(literal 1 binary64))
✓cost-diff128
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))
✓cost-diff0
(/.f64 b d)
✓cost-diff0
(hypot.f64 c d)
✓cost-diff0
(pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64))
✓cost-diff12800
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓cost-diff19328
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
✓accuracy90.9%
(+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)))) (/.f64 b d))
✓accuracy90.9%
(*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d))))
✓accuracy89.9%
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)))
✓accuracy83.0%
(/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))
✓accuracy100.0%
(hypot.f64 c d)
✓accuracy100.0%
(*.f64 #s(literal -1 binary64) b)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) b))
✓accuracy100.0%
(/.f64 a d)
✓accuracy100.0%
(+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d)))
✓accuracy98.8%
(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
✓accuracy91.3%
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))
✓accuracy100.0%
(/.f64 b d)
✓accuracy99.6%
(fma.f64 a c (*.f64 b d))
✓accuracy99.6%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
✓accuracy99.3%
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓accuracy74.4%
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
Rules
828×unsub-neg
597×fma-neg
550×fma-define
334×distribute-lft-neg-out
297×distribute-rgt-neg-out
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
042862
198800
2251800
3764800
42045782
53060782
63918778
76526778
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64))
(hypot.f64 c d)
c
d
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(fma.f64 a c (*.f64 b d))
a
(*.f64 b d)
b
(/.f64 b d)
b
d
(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
(+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d)))
b
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))
(/.f64 c #s(literal 1 binary64))
c
#s(literal 1 binary64)
(/.f64 a d)
a
d
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
#s(literal 1 binary64)
(hypot.f64 c d)
c
d
(*.f64 #s(literal -1 binary64) b)
#s(literal -1 binary64)
b
(+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)))) (/.f64 b d))
(*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d))))
c
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64))))
#s(literal -1 binary64)
(/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))
(*.f64 b c)
b
(pow.f64 d #s(literal 3 binary64))
d
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d))
(/.f64 #s(literal 1 binary64) d)
#s(literal 1 binary64)
(/.f64 a d)
a
(/.f64 b d)
Outputs
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal -1 binary64)) (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d)))
(/.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c c (*.f64 d d)))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (hypot.f64 c d) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
(pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64))
(hypot.f64 c d)
c
d
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))
(/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))
(fma.f64 a c (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(fma.f64 c a (*.f64 d b))
a
(*.f64 b d)
(*.f64 d b)
b
(/.f64 b d)
b
d
(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
(/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d)))
(+.f64 b (*.f64 c (/.f64 a d)))
(fma.f64 c (/.f64 a d) b)
b
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))
(*.f64 c (/.f64 a d))
(/.f64 c #s(literal 1 binary64))
c
c
#s(literal 1 binary64)
(/.f64 a d)
a
d
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (neg.f64 b))
(/.f64 (neg.f64 b) (hypot.f64 c d))
(/.f64 b (neg.f64 (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (hypot.f64 c d) #s(literal -1 binary64))
#s(literal 1 binary64)
(hypot.f64 c d)
c
d
(*.f64 #s(literal -1 binary64) b)
(neg.f64 b)
#s(literal -1 binary64)
b
(+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)))) (/.f64 b d))
(fma.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 a d) (/.f64 #s(literal 1 binary64) d))) (/.f64 b d))
(fma.f64 c (-.f64 (/.f64 (/.f64 a d) d) (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(-.f64 (/.f64 b d) (*.f64 (/.f64 c (*.f64 d d)) (-.f64 (*.f64 c (/.f64 b d)) a)))
(fma.f64 (/.f64 c (*.f64 d d)) (-.f64 a (*.f64 c (/.f64 b d))) (/.f64 b d))
(*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d))))
(*.f64 c (fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 a d) (/.f64 #s(literal 1 binary64) d))))
(*.f64 c (-.f64 (/.f64 (/.f64 a d) d) (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64))))))
(*.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64))))))
(*.f64 (/.f64 c (*.f64 d d)) (-.f64 a (*.f64 c (/.f64 b d))))
c
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)))
(fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 a d) (/.f64 #s(literal 1 binary64) d)))
(-.f64 (/.f64 (/.f64 a d) d) (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))))
(-.f64 (/.f64 a (*.f64 d d)) (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (-.f64 a (*.f64 c (/.f64 b d))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64))))
(neg.f64 (*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64)))))
(*.f64 b (neg.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64)))))
(*.f64 c (/.f64 b (neg.f64 (pow.f64 d #s(literal 3 binary64)))))
#s(literal -1 binary64)
(/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))
(*.f64 b (/.f64 c (pow.f64 d #s(literal 3 binary64))))
(*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64))))
(*.f64 b c)
(*.f64 c b)
b
(pow.f64 d #s(literal 3 binary64))
d
#s(literal 3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d))
(*.f64 (/.f64 a d) (/.f64 #s(literal 1 binary64) d))
(/.f64 (/.f64 a d) d)
(/.f64 a (*.f64 d d))
(/.f64 #s(literal 1 binary64) d)
#s(literal 1 binary64)
(/.f64 a d)
a
(/.f64 b d)
Results
105.0ms256×0valid
Compiler

Compiled 235 to 35 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-pow: 16.0ms (28% of total)
ival-mult: 14.0ms (24.5% of total)
ival-div: 13.0ms (22.7% of total)
ival-add: 6.0ms (10.5% of total)
ival-hypot: 5.0ms (8.7% of total)
ival-fma: 3.0ms (5.2% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series72.0ms (0.9%)

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

171 calls:

TimeVariablePointExpression
4.0ms
c
@0
(pow (sqrt (+ (* c c) (* d d))) -1/2)
3.0ms
d
@inf
(pow (sqrt (+ (* c c) (* d d))) -1/2)
3.0ms
c
@-inf
(+ b (* (/ c 1) (/ a d)))
2.0ms
c
@inf
(pow (sqrt (+ (* c c) (* d d))) -1/2)
2.0ms
d
@0
(pow (sqrt (+ (* c c) (* d d))) -1/2)

rewrite233.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
299×log1p-expm1-u
299×expm1-log1p-u
292×add-cube-cbrt
290×add-exp-log
290×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042621
1698569
Stop Event
1×node limit
Counts
20 → 534
Calls
Call 1
Inputs
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(fma.f64 a c (*.f64 b d))
(/.f64 b d)
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))
(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
(+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d)))
(/.f64 a d)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
(*.f64 #s(literal -1 binary64) b)
(hypot.f64 c d)
(/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)))
(*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d))))
(+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)))) (/.f64 b d))
(pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64))
(/.f64 c #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))) #s(literal 1 binary64))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (/.f64 (fma.f64 a c (*.f64 b d)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (cbrt.f64 (hypot.f64 c d))))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a c (*.f64 b 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 (fma.f64 a c (*.f64 b d)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal -1/2 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))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))))
(*.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)))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 c d) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (hypot.f64 c d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 c d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 c d) #s(literal 1 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)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 c d) #s(literal -3/2 binary64)) (pow.f64 (hypot.f64 c d) #s(literal -3/2 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 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (/.f64 (hypot.f64 c d) #s(literal 1 binary64)) (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) (/.f64 (hypot.f64 c d) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 c d) #s(literal 1 binary64)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) (neg.f64 (hypot.f64 c d))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))))
(/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (/.f64 (hypot.f64 c d) #s(literal 1 binary64)) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64)) (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(/.f64 (*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)) (*.f64 (neg.f64 (hypot.f64 c d)) (/.f64 (hypot.f64 c d) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)) (*.f64 (hypot.f64 c d) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64)) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 a c (*.f64 b d))) (*.f64 (neg.f64 (hypot.f64 c d)) (hypot.f64 c d)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 a c (*.f64 b d)))) (*.f64 (neg.f64 (hypot.f64 c d)) (neg.f64 (hypot.f64 c d))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (fma.f64 a c (*.f64 b d)))) (neg.f64 (hypot.f64 c d)))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b 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 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b 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 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 a c) (*.f64 b d))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a c (*.f64 b d)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 a c (*.f64 b d))))
(*.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (sqrt.f64 (fma.f64 a c (*.f64 b d))))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (*.f64 (*.f64 a c) (*.f64 b d)))))
(pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 a c (*.f64 b d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 a c (*.f64 b d)))))
(cbrt.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 a c (*.f64 b d))))
(log1p.f64 (expm1.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (log.f64 (fma.f64 a c (*.f64 b d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 b d))) #s(literal 1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) d))
(*.f64 #s(literal 1 binary64) (/.f64 b d))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b d)))
(*.f64 (pow.f64 d #s(literal -1/2 binary64)) (/.f64 b (sqrt.f64 d)))
(*.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 d #s(literal 2 binary64)))) (/.f64 b (cbrt.f64 d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 b) d))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 d #s(literal 2 binary64)))) (cbrt.f64 (/.f64 b d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) #s(literal 2 binary64)) (sqrt.f64 d)) (/.f64 (cbrt.f64 b) (sqrt.f64 d)))
(*.f64 (/.f64 (sqrt.f64 b) #s(literal 1 binary64)) (/.f64 (sqrt.f64 b) d))
(*.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 d #s(literal 2 binary64)))) (/.f64 (sqrt.f64 b) (cbrt.f64 d)))
(pow.f64 (/.f64 b d) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 b d)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 b d)) #s(literal 2 binary64))
(pow.f64 (/.f64 d b) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 b d)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 b d))))
(cbrt.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 b d)))
(log1p.f64 (expm1.f64 (/.f64 b d)))
(exp.f64 (log.f64 (/.f64 b d)))
(exp.f64 (*.f64 (log.f64 (/.f64 b d)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 c (/.f64 a d)))) #s(literal 1 binary64))
(/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))
(/.f64 c (/.f64 d a))
(/.f64 c (*.f64 (/.f64 d a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 d a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d a) (/.f64 #s(literal 1 binary64) c)))
(/.f64 (*.f64 c (/.f64 a d)) #s(literal 1 binary64))
(/.f64 (*.f64 a c) (*.f64 d #s(literal 1 binary64)))
(/.f64 (*.f64 c a) d)
(/.f64 (neg.f64 c) (*.f64 (/.f64 d a) #s(literal -1 binary64)))
(/.f64 (neg.f64 a) (*.f64 (/.f64 #s(literal 1 binary64) c) (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 c (/.f64 a d))) #s(literal -1 binary64))
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 d (/.f64 #s(literal 1 binary64) c)))
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) c)))
(/.f64 (*.f64 a (neg.f64 c)) (*.f64 d #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 c) a) (*.f64 #s(literal -1 binary64) d))
(/.f64 (*.f64 c (neg.f64 a)) (neg.f64 d))
(/.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 d a)))
(/.f64 (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 #s(literal -1 binary64) (neg.f64 d)))
(/.f64 (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 d) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 a) (neg.f64 c)) (*.f64 (neg.f64 d) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 d))
(pow.f64 (*.f64 c (/.f64 a d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 c (/.f64 a d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 c (/.f64 a d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 c (/.f64 a d))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 c (/.f64 a d)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 a d)) c))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 c (/.f64 a d)))))
(cbrt.f64 (pow.f64 (*.f64 c (/.f64 a d)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 c (/.f64 a d))))
(log1p.f64 (expm1.f64 (*.f64 c (/.f64 a d))))
(exp.f64 (log.f64 (*.f64 c (/.f64 a d))))
(exp.f64 (*.f64 (log.f64 (*.f64 c (/.f64 a d))) #s(literal 1 binary64)))
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(fma.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (*.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) c))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) #s(literal 2 binary64)) (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (neg.f64 (/.f64 b d)))) (/.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (neg.f64 (/.f64 b d)))))
(*.f64 #s(literal 1 binary64) (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))))
(*.f64 (sqrt.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))) (sqrt.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))))
(/.f64 (+.f64 (pow.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 b d) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (*.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 b d) #s(literal 2 binary64))) (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (neg.f64 (/.f64 b d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 b d) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (*.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 b d) #s(literal 2 binary64)))) (neg.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (neg.f64 (/.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 b d) (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))))))))
(pow.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d)))))
(cbrt.f64 (pow.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))))
(log1p.f64 (expm1.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))))
(exp.f64 (log.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))))
(exp.f64 (*.f64 (log.f64 (fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))) #s(literal 1 binary64)))
(fma.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(fma.f64 (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))) c (/.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 b d)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b d)) (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))))) (/.f64 b d))
(fma.f64 (sqrt.f64 (/.f64 b d)) (sqrt.f64 (/.f64 b d)) (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))))) (sqrt.f64 (*.f64 c (+.f64 (*.f64 c (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64)))))) (/.f64 b d))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/4 binary64)) (pow.f64 (hypot.f64 c d) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #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 -1/2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 c d) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (hypot.f64 c d))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(fabs.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal -3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (hypot.f64 c d))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (hypot.f64 c d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 c)) #s(literal 1 binary64))
(*.f64 c #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) c)
(*.f64 (pow.f64 (cbrt.f64 c) #s(literal 2 binary64)) (cbrt.f64 c))
(*.f64 (sqrt.f64 c) (sqrt.f64 c))
(pow.f64 c #s(literal 1 binary64))
(pow.f64 (cbrt.f64 c) #s(literal 3 binary64))
(pow.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 c) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 c #s(literal 2 binary64)))
(log.f64 (exp.f64 c))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 c)))
(cbrt.f64 (pow.f64 c #s(literal 3 binary64)))
c
(expm1.f64 (log1p.f64 c))
(log1p.f64 (expm1.f64 c))
(exp.f64 (log.f64 c))
(exp.f64 (*.f64 (log.f64 c) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 a (pow.f64 d #s(literal 2 binary64)))
(/.f64 a (*.f64 (/.f64 d #s(literal 1 binary64)) d))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d a) d))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d a) (/.f64 d #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d #s(literal 1 binary64)) (/.f64 d a)))
(/.f64 (/.f64 a d) d)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 d a) (neg.f64 d)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 d) (/.f64 d a)))
(/.f64 (neg.f64 a) (*.f64 d (neg.f64 d)))
(/.f64 (neg.f64 a) (*.f64 (/.f64 d #s(literal 1 binary64)) (neg.f64 d)))
(/.f64 (neg.f64 a) (neg.f64 (pow.f64 d #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) a) d)
(/.f64 (neg.f64 (/.f64 a d)) (neg.f64 d))
(/.f64 (*.f64 a #s(literal 1 binary64)) (pow.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 d (/.f64 d #s(literal 1 binary64))))
(/.f64 (*.f64 a #s(literal -1 binary64)) (*.f64 d (neg.f64 d)))
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 d) d))
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 d) (/.f64 d #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 (neg.f64 d) (neg.f64 d)))
(/.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 (neg.f64 d) d))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 a)) (*.f64 (neg.f64 d) (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) a)) (neg.f64 d))
(pow.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 a) d) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 a (pow.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64)))

eval222.0ms (2.9%)

Compiler

Compiled 26757 to 3243 computations (87.9% saved)

prune158.0ms (2.1%)

Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New1246101256
Fresh51621
Picked415
Done011
Total1255281283
Accuracy
99.0%
Counts
1283 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.8%
(pow.f64 (/.f64 c a) #s(literal -1 binary64))
41.2%
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) d) d)
22.3%
(/.f64 (/.f64 (*.f64 a c) d) d)
33.8%
(/.f64 (+.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (*.f64 b d)) #s(literal 2 binary64))) (+.f64 (*.f64 c c) (*.f64 d d)))
54.4%
(/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d)
54.8%
(/.f64 (+.f64 b (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d)
▶54.8%
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
53.1%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
36.8%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
▶30.3%
(/.f64 b (neg.f64 (hypot.f64 c d)))
✓39.9%
(/.f64 b d)
▶9.4%
(/.f64 b c)
✓46.0%
(/.f64 a c)
34.7%
(+.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
54.3%
(*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d))
47.4%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 a c) (hypot.f64 c d)))
34.8%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 a (/.f64 (*.f64 b d) c)))
▶72.8%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
47.5%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (*.f64 a c) (hypot.f64 c d)))
▶29.5%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
34.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))
31.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 a (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c)))))
28.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) a))
32.0%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
28.9%
(*.f64 (exp.f64 (neg.f64 (log.f64 (hypot.f64 c d)))) (*.f64 #s(literal -1 binary64) b))
45.9%
(*.f64 a (/.f64 #s(literal 1 binary64) c))
9.0%
(*.f64 #s(literal -1 binary64) (/.f64 b d))
10.0%
(*.f64 #s(literal -1 binary64) (/.f64 b c))
Compiler

Compiled 782 to 522 computations (33.2% saved)

localize739.0ms (9.7%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 b d) c)
✓cost-diff0
(hypot.f64 c d)
✓cost-diff64
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))
✓cost-diff64
(*.f64 #s(literal -1 binary64) a)
✓cost-diff0
(hypot.f64 c d)
✓cost-diff0
(neg.f64 (hypot.f64 c d))
✓cost-diff0
(/.f64 b (neg.f64 (hypot.f64 c d)))
✓cost-diff-6272
(+.f64 b (*.f64 a (/.f64 c d)))
✓cost-diff-6272
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
✓cost-diff0
(/.f64 c d)
✓cost-diff0
(*.f64 a (/.f64 c d))
✓cost-diff0
(/.f64 b c)
✓cost-diff0
(cbrt.f64 (hypot.f64 c d))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))
✓cost-diff6720
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
✓cost-diff12864
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
✓accuracy100.0%
(+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c)))
✓accuracy92.8%
(/.f64 (*.f64 b d) c)
✓accuracy92.4%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
✓accuracy100.0%
(hypot.f64 c d)
✓accuracy100.0%
(neg.f64 (hypot.f64 c d))
✓accuracy100.0%
(/.f64 b (neg.f64 (hypot.f64 c d)))
✓accuracy100.0%
(/.f64 c d)
✓accuracy100.0%
(+.f64 b (*.f64 a (/.f64 c d)))
✓accuracy98.8%
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
✓accuracy94.6%
(*.f64 a (/.f64 c d))
✓accuracy100.0%
(/.f64 b c)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))
✓accuracy99.1%
(cbrt.f64 (hypot.f64 c d))
✓accuracy98.8%
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64))
✓accuracy74.4%
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
Rules
614×fma-neg
449×fma-define
404×unsub-neg
383×distribute-lft-in
361×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037702
186654
2222640
3796632
42953632
55131632
67870632
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))
#s(literal 1 binary64)
(cbrt.f64 (hypot.f64 c d))
(hypot.f64 c d)
c
d
#s(literal 3 binary64)
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(fma.f64 a c (*.f64 b d))
a
(*.f64 b d)
b
(/.f64 b c)
b
c
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(+.f64 b (*.f64 a (/.f64 c d)))
b
(*.f64 a (/.f64 c d))
a
(/.f64 c d)
c
d
(/.f64 b (neg.f64 (hypot.f64 c d)))
b
(neg.f64 (hypot.f64 c d))
(hypot.f64 c d)
c
d
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b 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) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c)))
(*.f64 #s(literal -1 binary64) a)
#s(literal -1 binary64)
a
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))
(/.f64 (*.f64 b d) c)
(*.f64 b d)
b
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64)) (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)))
(*.f64 (/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d)) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 (hypot.f64 c d) (hypot.f64 c d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))
#s(literal 1 binary64)
(cbrt.f64 (hypot.f64 c d))
(hypot.f64 c d)
c
d
#s(literal 3 binary64)
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(/.f64 (fma.f64 a c (*.f64 d b)) (hypot.f64 c d))
(/.f64 (fma.f64 c a (*.f64 d b)) (hypot.f64 c d))
(/.f64 (fma.f64 d b (*.f64 c a)) (hypot.f64 c d))
(fma.f64 a c (*.f64 b d))
(fma.f64 a c (*.f64 d b))
(fma.f64 c a (*.f64 d b))
(fma.f64 d b (*.f64 c a))
a
(*.f64 b d)
(*.f64 d b)
b
(/.f64 b c)
b
c
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(+.f64 b (*.f64 a (/.f64 c d)))
(fma.f64 a (/.f64 c d) b)
(fma.f64 c (/.f64 a d) b)
b
(*.f64 a (/.f64 c d))
(*.f64 c (/.f64 a d))
a
(/.f64 c d)
c
d
(/.f64 b (neg.f64 (hypot.f64 c d)))
b
(neg.f64 (hypot.f64 c d))
(hypot.f64 c d)
c
d
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (fma.f64 #s(literal -1 binary64) a (neg.f64 (*.f64 b (/.f64 d c)))))
(/.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 d c)) a) (hypot.f64 c d))
(/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (hypot.f64 c d))
(/.f64 (fma.f64 d (/.f64 b c) a) (neg.f64 (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64))
#s(literal 1 binary64)
(hypot.f64 c d)
c
d
(+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c)))
(fma.f64 #s(literal -1 binary64) a (neg.f64 (*.f64 b (/.f64 d c))))
(-.f64 (*.f64 (neg.f64 b) (/.f64 d c)) a)
(neg.f64 (fma.f64 b (/.f64 d c) a))
(neg.f64 (fma.f64 d (/.f64 b c) a))
(*.f64 #s(literal -1 binary64) a)
(neg.f64 a)
#s(literal -1 binary64)
a
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))
(neg.f64 (*.f64 b (/.f64 d c)))
(*.f64 (neg.f64 b) (/.f64 d c))
(*.f64 d (/.f64 b (neg.f64 c)))
(*.f64 b (/.f64 (neg.f64 d) c))
(/.f64 (*.f64 b d) c)
(*.f64 b (/.f64 d c))
(*.f64 d (/.f64 b c))
(*.f64 b d)
(*.f64 d b)
b
Results
84.0ms256×0valid
Compiler

Compiled 179 to 29 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 13.0ms (31.5% of total)
ival-mult: 11.0ms (26.6% of total)
ival-hypot: 5.0ms (12.1% of total)
ival-pow: 4.0ms (9.7% of total)
ival-fma: 3.0ms (7.3% of total)
ival-add: 2.0ms (4.8% of total)
ival-cbrt: 2.0ms (4.8% of total)
const: 1.0ms (2.4% of total)
ival-neg: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

series77.0ms (1%)

Counts
19 → 489
Calls
Call 1
Inputs
#<alt (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (hypot.f64 c d))>
#<alt (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))>
#<alt (/.f64 b c)>
#<alt (*.f64 a (/.f64 c d))>
#<alt (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)>
#<alt (+.f64 b (*.f64 a (/.f64 c d)))>
#<alt (/.f64 c d)>
#<alt (/.f64 b (neg.f64 (hypot.f64 c d)))>
#<alt (neg.f64 (hypot.f64 c d))>
#<alt (hypot.f64 c d)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))>
#<alt (/.f64 (*.f64 b d) c)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c)))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 c d))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))>
Outputs
#<alt (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (*.f64 a (+.f64 (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 b d) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))>
#<alt (*.f64 a (+.f64 (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 b d) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))>
#<alt (*.f64 a (+.f64 (*.f64 c (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 b d) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 c (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 b d) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 c (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 b d) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 c (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 b d) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))))>
#<alt b>
#<alt (+.f64 b (/.f64 (*.f64 a c) d))>
#<alt (+.f64 b (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 2 binary64)))) (/.f64 a d))))>
#<alt (+.f64 b (*.f64 c (+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 b (pow.f64 d #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) (pow.f64 d #s(literal 3 binary64)))))) (/.f64 a d))))>
#<alt a>
#<alt (+.f64 a (/.f64 (*.f64 b d) c))>
#<alt (+.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) (/.f64 (*.f64 b d) c)))>
#<alt (+.f64 a (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) (pow.f64 c #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b d) c))))>
#<alt (*.f64 #s(literal -1 binary64) a)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a (pow.f64 d #s(literal 2 binary64))) c)) (*.f64 b d)) c)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 d #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b (pow.f64 d #s(literal 3 binary64))) c))) c)) (*.f64 b d)) c)))>
#<alt (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 (*.f64 a c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 b d) (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 (+.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 a c) 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 (+.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 a c) 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 (+.f64 (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))) (*.f64 (/.f64 (*.f64 a c) 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 (*.f64 b d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 a c) 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 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 a c) 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 #s(literal -1 binary64) (*.f64 b (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 a c) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))))))))>
#<alt a>
#<alt (+.f64 a (/.f64 (*.f64 b d) c))>
#<alt (+.f64 a (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c))))>
#<alt (+.f64 a (*.f64 d (+.f64 (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 a (pow.f64 c #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b d) (pow.f64 c #s(literal 3 binary64)))))) (/.f64 b c))))>
#<alt b>
#<alt (+.f64 b (/.f64 (*.f64 a c) d))>
#<alt (+.f64 b (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b (pow.f64 c #s(literal 2 binary64))) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 a c) d)))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 b c))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 a (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) (*.f64 a (+.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 c (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) (*.f64 a (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (*.f64 a c) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 b d) (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))>
#<alt (*.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (*.f64 b (+.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 b d) (+.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 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.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 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.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 d (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 a c) (*.f64 b (+.f64 (pow.f64 c #s(literal 2 binary64)) (pow.f64 d #s(literal 2 binary64)))))))))>
Calls

159 calls:

TimeVariablePointExpression
3.0ms
d
@inf
(/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))
3.0ms
a
@0
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (+ (* -1 a) (* -1 (/ (* b d) c))))
2.0ms
c
@inf
(/ 1 (cbrt (sqrt (+ (* c c) (* d d)))))
1.0ms
c
@0
(cbrt (sqrt (+ (* c c) (* d d))))
1.0ms
d
@0
(cbrt (sqrt (+ (* c c) (* d d))))

rewrite179.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
267×log1p-expm1-u
267×expm1-log1p-u
263×add-cube-cbrt
262×add-exp-log
261×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037545
1599461
Stop Event
1×node limit
Counts
19 → 600
Calls
Call 1
Inputs
(/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64))
(cbrt.f64 (hypot.f64 c d))
(/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))
(/.f64 b c)
(*.f64 a (/.f64 c d))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(+.f64 b (*.f64 a (/.f64 c d)))
(/.f64 c d)
(/.f64 b (neg.f64 (hypot.f64 c d)))
(neg.f64 (hypot.f64 c d))
(hypot.f64 c d)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
(/.f64 (*.f64 b d) c)
(+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c)))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 #s(literal -1 binary64) a)
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))) #s(literal 1 binary64))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 c d))) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (sqrt.f64 (hypot.f64 c d))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a c (*.f64 b 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 (fma.f64 a c (*.f64 b d)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d))) #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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)))
(*.f64 #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)) (/.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 (sqrt.f64 (hypot.f64 c d)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 c d))
(/.f64 #s(literal -1 binary64) (hypot.f64 c d))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)) (cbrt.f64 (hypot.f64 c d)))
(neg.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(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 (cbrt.f64 (hypot.f64 c d)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))
(*.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (hypot.f64 c d) #s(literal 1/6 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 c d)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))))
(/.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 1 binary64))
(/.f64 (neg.f64 (cbrt.f64 (hypot.f64 c d))) #s(literal -1 binary64))
(pow.f64 (hypot.f64 c d) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (cbrt.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 1/6 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 c d))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (hypot.f64 c d)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 c d))))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 c d))))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 c d))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 c d)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 c d))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 (hypot.f64 c d)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 c d))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 (hypot.f64 c d) #s(literal -1/3 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (cbrt.f64 (hypot.f64 c d))))
(sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))))
(exp.f64 (neg.f64 (log.f64 (cbrt.f64 (hypot.f64 c d)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 c d))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (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))
(*.f64 #s(literal 1 binary64) (/.f64 b c))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 b c)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 b c)))
(*.f64 (sqrt.f64 (/.f64 b c)) (sqrt.f64 (/.f64 b c)))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 c)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 c)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 c)) (/.f64 b (sqrt.f64 c)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 b) c))
(*.f64 (/.f64 (sqrt.f64 b) #s(literal 1 binary64)) (/.f64 (sqrt.f64 b) c))
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(*.f64 (sqrt.f64 (+.f64 a (*.f64 b (/.f64 d c)))) (sqrt.f64 (+.f64 a (*.f64 b (/.f64 d c)))))
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 d c)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (+.f64 a (*.f64 b (/.f64 d c)))))))
(*.f64 (pow.f64 (+.f64 a (*.f64 b (/.f64 d c))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a (*.f64 b (/.f64 d c)))))
(*.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 b (/.f64 d c)))) (-.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 b (/.f64 d c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (+.f64 a (*.f64 b (/.f64 d c))))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 d c)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a (*.f64 b (/.f64 d c))) (pow.f64 (+.f64 a (*.f64 b (/.f64 d c))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 d c)) #s(literal 3 binary64))) (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (+.f64 a (*.f64 b (/.f64 d c))))))
(/.f64 (pow.f64 (+.f64 a (*.f64 b (/.f64 d c))) #s(literal 2 binary64)) (+.f64 a (*.f64 b (/.f64 d c))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 d c)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (+.f64 a (*.f64 b (/.f64 d c)))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 a (*.f64 b (/.f64 d c))) #s(literal 2 binary64))) (+.f64 a (*.f64 b (/.f64 d c))))
(/.f64 (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 b (/.f64 d c)) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 2 binary64)) (*.f64 (*.f64 b (/.f64 d c)) a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 d c)) #s(literal 3 binary64))) (fma.f64 a a (*.f64 (*.f64 b (/.f64 d c)) (+.f64 a (*.f64 b (/.f64 d c))))))
(/.f64 (-.f64 (pow.f64 (*.f64 b (/.f64 d c)) #s(literal 2 binary64)) (pow.f64 a #s(literal 2 binary64))) (+.f64 a (*.f64 b (/.f64 d c))))
(pow.f64 (cbrt.f64 (+.f64 a (*.f64 b (/.f64 d c)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 a (*.f64 b (/.f64 d c))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 a (*.f64 b (/.f64 d c)))) #s(literal 2 binary64))
(pow.f64 (+.f64 a (*.f64 b (/.f64 d c))) #s(literal 1 binary64))
(neg.f64 (+.f64 a (*.f64 b (/.f64 d c))))
(sqrt.f64 (pow.f64 (+.f64 a (*.f64 b (/.f64 d c))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 a (*.f64 b (/.f64 d c)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 a (*.f64 b (/.f64 d c))))))
(log.f64 (/.f64 (exp.f64 a) (pow.f64 (exp.f64 b) (/.f64 d c))))
(cbrt.f64 (pow.f64 (+.f64 a (*.f64 b (/.f64 d c))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 a (*.f64 b (/.f64 d c)))))
(log1p.f64 (expm1.f64 (+.f64 a (*.f64 b (/.f64 d c)))))
(exp.f64 (log.f64 (+.f64 a (*.f64 b (/.f64 d c)))))
(exp.f64 (*.f64 (log.f64 (+.f64 a (*.f64 b (/.f64 d c)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) a (*.f64 b (/.f64 d c)))
(fma.f64 #s(literal 1 binary64) (*.f64 b (/.f64 d c)) a)
(fma.f64 #s(literal -1 binary64) a (*.f64 b (/.f64 d c)))
(fma.f64 #s(literal -1 binary64) (*.f64 b (/.f64 d c)) a)
(fma.f64 a #s(literal -1 binary64) (*.f64 b (/.f64 d c)))
(fma.f64 (*.f64 b (/.f64 d c)) #s(literal -1 binary64) a)
(fma.f64 (cbrt.f64 (pow.f64 a #s(literal 2 binary64))) (cbrt.f64 a) (*.f64 b (/.f64 d c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (/.f64 d c))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 b (/.f64 d c))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (*.f64 b (/.f64 d c)))
(fma.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) (sqrt.f64 (*.f64 b (/.f64 d c))) a)
(-.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 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)))
(*.f64 #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)) (/.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 (sqrt.f64 (hypot.f64 c d)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 c d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -1/2 binary64)))
(pow.f64 (hypot.f64 c d) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)) #s(literal -1/2 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))
(neg.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))
(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 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) (hypot.f64 c d))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 c d) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (fma.f64 a c (*.f64 b d)))))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (hypot.f64 c d) (fma.f64 a c (*.f64 b d))))
(/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (fma.f64 a c (*.f64 b d))) (hypot.f64 c d))
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (fma.f64 a c (*.f64 b d)))) (hypot.f64 c d))
(pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b 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 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b 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 #s(literal 1 binary64) (hypot.f64 c d)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 (hypot.f64 c d) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) a)
(-.f64 (exp.f64 (log1p.f64 a)) #s(literal 1 binary64))
(pow.f64 a #s(literal 1 binary64))
(pow.f64 (cbrt.f64 a) #s(literal 3 binary64))
(pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 a) #s(literal 2 binary64))
(neg.f64 a)
(sqrt.f64 (pow.f64 a #s(literal 2 binary64)))
(log.f64 (exp.f64 a))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 a)))
(cbrt.f64 (pow.f64 a #s(literal 3 binary64)))
a
(expm1.f64 (log1p.f64 a))
(log1p.f64 (expm1.f64 a))
(exp.f64 (log.f64 a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 b (/.f64 d c)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (/.f64 d c)))) #s(literal 1 binary64))
(/.f64 (*.f64 b d) c)
(/.f64 (*.f64 b d) (neg.f64 c))
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b d)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (*.f64 b d))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (*.f64 b d)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b (neg.f64 d))))
(/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 b d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 b d))))
(/.f64 (*.f64 b (neg.f64 d)) c)
(/.f64 (*.f64 b (neg.f64 d)) (neg.f64 c))
(/.f64 (*.f64 b (neg.f64 d)) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (*.f64 b (neg.f64 d))) (neg.f64 c))
(/.f64 (neg.f64 (*.f64 b (neg.f64 d))) (neg.f64 (neg.f64 c)))
(pow.f64 (*.f64 b (/.f64 d c)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 d c))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 b (/.f64 d c)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 b (/.f64 d c))) #s(literal 2 binary64))
(pow.f64 (/.f64 c (*.f64 b d)) #s(literal -1 binary64))
(neg.f64 (*.f64 b (/.f64 d c)))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 d c)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 b) (/.f64 d c)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 b (/.f64 d c)))))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 d c)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 d c))))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 d c))))
(exp.f64 (log.f64 (*.f64 b (/.f64 d c))))
(exp.f64 (*.f64 (log.f64 (*.f64 b (/.f64 d c))) #s(literal 1 binary64)))

eval286.0ms (3.7%)

Compiler

Compiled 27057 to 3531 computations (86.9% saved)

prune215.0ms (2.8%)

Pruning

31 alts after pruning (26 fresh and 5 done)

PrunedKeptTotal
New1271131284
Fresh81321
Picked235
Done022
Total1281311312
Accuracy
99.8%
Counts
1312 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.8%
(pow.f64 (/.f64 c a) #s(literal -1 binary64))
41.2%
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) d) d)
22.3%
(/.f64 (/.f64 (*.f64 a c) d) d)
54.8%
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
✓54.8%
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
53.1%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
36.4%
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) (hypot.f64 c d))
36.8%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
✓30.3%
(/.f64 b (neg.f64 (hypot.f64 c d)))
30.2%
(/.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))))
29.2%
(/.f64 b (neg.f64 (expm1.f64 (log1p.f64 (hypot.f64 c d)))))
9.0%
(/.f64 b (neg.f64 d))
10.0%
(/.f64 b (neg.f64 c))
✓39.9%
(/.f64 b d)
✓9.4%
(/.f64 b c)
✓46.0%
(/.f64 a c)
36.3%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 c d) (+.f64 a (*.f64 b (/.f64 d c)))))
6.0%
(+.f64 (/.f64 a d) (/.f64 b c))
34.7%
(+.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
54.3%
(*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d))
47.4%
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 a c) (hypot.f64 c d)))
47.5%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (*.f64 a c) (hypot.f64 c d)))
34.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (-.f64 a (*.f64 b (/.f64 d c))))
29.6%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 c))))))
31.8%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 a (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c)))))
28.7%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) a))
32.0%
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
53.0%
(*.f64 (/.f64 #s(literal -1 binary64) c) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
72.6%
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))))) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
45.9%
(*.f64 a (/.f64 #s(literal 1 binary64) c))
11.7%
(*.f64 #s(literal -1 binary64) (/.f64 a c))
Compiler

Compiled 1177 to 488 computations (58.5% saved)

regimes227.0ms (3%)

Counts
60 → 2
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 #s(literal -1 binary64) (/.f64 b d))
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(+.f64 (/.f64 a d) (/.f64 b c))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
(/.f64 (+.f64 b (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d)
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) d) d)
(*.f64 (/.f64 #s(literal -1 binary64) c) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(pow.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 b (neg.f64 (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) b)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) b))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
(*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d))
(/.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))))
(+.f64 (*.f64 c (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) (hypot.f64 c d))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (-.f64 a (*.f64 b (/.f64 d c))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 c d) (+.f64 a (*.f64 b (/.f64 d c)))))
(+.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
(+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)))) (/.f64 b d))
(*.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 c #s(literal 2 binary64))) d)) (*.f64 a c)) d))) d))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (*.f64 a c) (hypot.f64 c d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (sqrt.f64 (pow.f64 d #s(literal 4 binary64)))))
(/.f64 (+.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (*.f64 b d)) #s(literal 2 binary64))) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 a (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c)))))
(/.f64 b (neg.f64 (expm1.f64 (log1p.f64 (hypot.f64 c d)))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (hypot.f64 c d)))) (*.f64 #s(literal -1 binary64) b))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 a (/.f64 (*.f64 b d) c)))
(/.f64 (+.f64 b (*.f64 (/.f64 a (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 c (cbrt.f64 d)))) d)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(/.f64 #s(literal 1 binary64) (*.f64 (hypot.f64 c d) (/.f64 (hypot.f64 c d) (fma.f64 b d (*.f64 a c)))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 a c) (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d (pow.f64 (cbrt.f64 c) #s(literal 2 binary64))) (/.f64 b (cbrt.f64 c))))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))) #s(literal 3 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) #s(literal 2 binary64)) (hypot.f64 c d)) (/.f64 (cbrt.f64 (fma.f64 a c (*.f64 b d))) (hypot.f64 c d)))
(*.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 c d)) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 c d))))) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (fma.f64 a c (*.f64 b d)) (hypot.f64 c d)))
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
Calls

5 calls:

155.0ms
b
17.0ms
a
17.0ms
d
16.0ms
c
16.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
73.5%1a
76.4%2b
89.9%5c
84.6%3d
85.2%2(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes112.0ms (1.5%)

Counts
51 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 #s(literal -1 binary64) (/.f64 b d))
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(+.f64 (/.f64 a d) (/.f64 b c))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
(/.f64 (+.f64 b (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d)
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) d) d)
(*.f64 (/.f64 #s(literal -1 binary64) c) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(pow.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 b (neg.f64 (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) b)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) b))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
(*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d))
(/.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))))
(+.f64 (*.f64 c (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) (hypot.f64 c d))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (-.f64 a (*.f64 b (/.f64 d c))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 c d) (+.f64 a (*.f64 b (/.f64 d c)))))
(+.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
(+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a d)))) (/.f64 b d))
(*.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 c #s(literal 2 binary64))) d)) (*.f64 a c)) d))) d))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (/.f64 (*.f64 a c) (hypot.f64 c d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (cbrt.f64 (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (sqrt.f64 (pow.f64 d #s(literal 4 binary64)))))
(/.f64 (+.f64 (*.f64 a c) (pow.f64 (sqrt.f64 (*.f64 b d)) #s(literal 2 binary64))) (+.f64 (*.f64 c c) (*.f64 d d)))
(+.f64 (*.f64 c (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64)))) (/.f64 a (pow.f64 d #s(literal 2 binary64))))) (/.f64 b d))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 a (*.f64 d (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a d) (pow.f64 c #s(literal 2 binary64)))) (/.f64 b c)))))
(/.f64 b (neg.f64 (expm1.f64 (log1p.f64 (hypot.f64 c d)))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (hypot.f64 c d)))) (*.f64 #s(literal -1 binary64) b))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 a (/.f64 (*.f64 b d) c)))
(/.f64 (+.f64 b (*.f64 (/.f64 a (pow.f64 (cbrt.f64 d) #s(literal 2 binary64))) (/.f64 c (cbrt.f64 d)))) d)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) (hypot.f64 c d))
Calls

3 calls:

80.0ms
c
14.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
14.0ms
d
Results
AccuracySegmentsBranch
84.1%5d
84.9%4c
80.6%5(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes15.0ms (0.2%)

Counts
37 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 #s(literal -1 binary64) (/.f64 b d))
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(+.f64 (/.f64 a d) (/.f64 b c))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
(/.f64 (+.f64 b (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d)
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) d) d)
(*.f64 (/.f64 #s(literal -1 binary64) c) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(pow.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 b (neg.f64 (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) b)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) b))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
(*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d))
(/.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))))
(+.f64 (*.f64 c (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) (hypot.f64 c d))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (+.f64 a (/.f64 (*.f64 b d) c)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (-.f64 a (*.f64 b (/.f64 d c))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 c d) (+.f64 a (*.f64 b (/.f64 d c)))))
(+.f64 (*.f64 c (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b c) (pow.f64 d #s(literal 3 binary64))))) (/.f64 b d))
Outputs
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 a (*.f64 b (/.f64 d c))) (hypot.f64 c d))
Calls

1 calls:

12.0ms
c
Results
AccuracySegmentsBranch
84.9%4c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.1%)

Counts
32 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 #s(literal -1 binary64) (/.f64 b d))
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(+.f64 (/.f64 a d) (/.f64 b c))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
(/.f64 (+.f64 b (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d)
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) d) d)
(*.f64 (/.f64 #s(literal -1 binary64) c) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(pow.f64 (/.f64 c a) #s(literal -1 binary64))
(/.f64 b (neg.f64 (hypot.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) a)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) b)
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 c d)) (*.f64 #s(literal -1 binary64) b))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
(*.f64 (fma.f64 c (/.f64 a d) b) (/.f64 #s(literal 1 binary64) d))
(/.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 c d)))))
(+.f64 (*.f64 c (/.f64 a (pow.f64 d #s(literal 2 binary64)))) (/.f64 b d))
Outputs
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 a c)
Calls

1 calls:

9.0ms
c
Results
AccuracySegmentsBranch
83.4%4c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes15.0ms (0.2%)

Counts
21 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 #s(literal -1 binary64) (/.f64 b d))
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(+.f64 (/.f64 a d) (/.f64 b c))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d))) d)
(/.f64 (+.f64 b (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d)
(/.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) d) d)
(*.f64 (/.f64 #s(literal -1 binary64) c) (+.f64 (*.f64 #s(literal -1 binary64) a) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b d) c))))
Outputs
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
Calls

2 calls:

7.0ms
c
7.0ms
d
Results
AccuracySegmentsBranch
77.7%3d
80.9%3c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Counts
13 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 #s(literal -1 binary64) (/.f64 b d))
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(+.f64 (/.f64 a d) (/.f64 b c))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
Outputs
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
Calls

1 calls:

4.0ms
c
Results
AccuracySegmentsBranch
80.9%3c
Compiler

Compiled 5 to 4 computations (20% saved)

regimes19.0ms (0.3%)

Counts
12 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 #s(literal -1 binary64) (/.f64 b d))
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(+.f64 (/.f64 a d) (/.f64 b c))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
Outputs
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 b d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
Calls

4 calls:

6.0ms
b
4.0ms
d
4.0ms
a
4.0ms
c
Results
AccuracySegmentsBranch
56.8%3a
70.6%3d
57.0%2b
71.2%3c
Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b c)
(/.f64 b d)
(/.f64 b (neg.f64 c))
(/.f64 b (neg.f64 d))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 #s(literal -1 binary64) (/.f64 b c))
(*.f64 #s(literal -1 binary64) (/.f64 b d))
(*.f64 a (/.f64 #s(literal 1 binary64) c))
(+.f64 (/.f64 a d) (/.f64 b c))
(/.f64 (/.f64 (*.f64 a c) d) d)
Outputs
(/.f64 a c)
(/.f64 b d)
(/.f64 a c)
Calls

2 calls:

4.0ms
d
4.0ms
c
Results
AccuracySegmentsBranch
63.9%3d
67.1%3c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Accuracy

Total -24.5b remaining (-71%)

Threshold costs -24.5b (-71%)

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

4 calls:

3.0ms
d
2.0ms
b
2.0ms
a
1.0ms
c
Results
AccuracySegmentsBranch
46.0%1a
46.0%1b
46.0%1d
46.0%1c
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.598264889848491e+306
+inf
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch29.0ms (0.4%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
4.0ms
3.3369480144036367e+40
3.855224945308707e+40
16.0ms
1.8575957063137476e-64
8.368762840424448e-62
7.0ms
-14907904364415.553
-7665410507038.571
Results
19.0ms224×0valid
Compiler

Compiled 514 to 325 computations (36.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (62% of total)
ival-add: 2.0ms (20.7% of total)
ival-div: 1.0ms (10.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
3.0ms
3.3369480144036367e+40
3.855224945308707e+40
14.0ms
1.8575957063137476e-64
8.368762840424448e-62
7.0ms
-14907904364415.553
-7665410507038.571
Results
17.0ms224×0valid
Compiler

Compiled 482 to 301 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (62.3% of total)
ival-add: 2.0ms (20.8% of total)
ival-div: 1.0ms (10.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.7632642785475986e+117
4.0037511238574643e+126
16.0ms
1.8575957063137476e-64
8.368762840424448e-62
7.0ms
-14907904364415.553
-7665410507038.571
Results
26.0ms336×0valid
Compiler

Compiled 662 to 419 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (61.2% of total)
ival-add: 3.0ms (20.4% of total)
ival-div: 2.0ms (13.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
3.570925229951847
93724.1139941993
7.0ms
-14907904364415.553
-7665410507038.571
Results
17.0ms192×0valid
Compiler

Compiled 362 to 233 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (59.8% of total)
ival-add: 2.0ms (23.9% of total)
ival-div: 1.0ms (12% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

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

Compiled 362 to 233 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (59.4% of total)
ival-add: 2.0ms (23.7% of total)
ival-div: 1.0ms (11.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
1.9206626476098136e-128
6.312576695261004e-124
7.0ms
-14907904364415.553
-7665410507038.571
Results
15.0ms192×0valid
Compiler

Compiled 290 to 197 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (60.9% of total)
ival-add: 2.0ms (24.4% of total)
ival-div: 1.0ms (12.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.9287584684412091e-56
4.825914859388833e-56
18.0ms
-14907904364415.553
-7665410507038.571
Results
11.0ms144×0valid
Compiler

Compiled 170 to 125 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (65.2% of total)
ival-div: 1.0ms (16.3% of total)
ival-add: 1.0ms (16.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

soundness351.0ms (4.6%)

Rules
822×log1p-expm1-u
822×expm1-log1p-u
503×fma-define
308×log1p-expm1-u
308×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037545
1599461
022260
1267240
23557240
043634
1691576
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1002 to 229 computations (77.1% saved)

preprocess73.0ms (1%)

Compiler

Compiled 786 to 240 computations (69.5% saved)

end0.0ms (0%)

Profiling

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