Complex division, real part

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze24.0ms (0.4%)

Memory
13.4MiB live, 13.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample995.0ms (17.7%)

Memory
21.4MiB live, 1 242.8MiB allocated
Samples
695.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 451.0ms
ival-mult: 312.0ms (69.2% of total)
ival-add: 76.0ms (16.9% of total)
ival-div: 54.0ms (12% of total)
ival-true: 7.0ms (1.6% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain118.0ms (2.1%)

Memory
4.2MiB live, 161.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1050-0-(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
00-0-d
00-0-(*.f64 d d)
00-0-(*.f64 c c)
00-0-(*.f64 a c)
00-0-c
00-0-b
00-0-(*.f64 b d)
00-0-(+.f64 (*.f64 a c) (*.f64 b d))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/o440
(+.f64 (*.f64 a c) (*.f64 b d))overflow52
(*.f64 a c)overflow24
(*.f64 b d)overflow29
(+.f64 (*.f64 c c) (*.f64 d d))overflow117
(*.f64 c c)overflow54
(*.f64 d d)overflow74
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o430
(+.f64 (*.f64 c c) (*.f64 d d))overflow117
(*.f64 c c)overflow54
(*.f64 d d)overflow74
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n80
(+.f64 (*.f64 a c) (*.f64 b d))overflow52
(*.f64 a c)overflow24
(*.f64 b d)overflow29
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u50
(+.f64 (*.f64 c c) (*.f64 d d))underflow16
(*.f64 c c)underflow60
(*.f64 d d)underflow55
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u40
(+.f64 (*.f64 a c) (*.f64 b d))underflow5
(*.f64 a c)underflow24
(*.f64 b d)underflow32
(+.f64 (*.f64 c c) (*.f64 d d))underflow16
(*.f64 c c)underflow60
(*.f64 d d)underflow55
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/n10
(+.f64 (*.f64 a c) (*.f64 b d))underflow5
(*.f64 a c)underflow24
(*.f64 b d)underflow32
Confusion
Predicted +Predicted -
+1050
-0151
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+10500
-00151
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0151
1105
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms512×0valid
Compiler

Compiled 154 to 48 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 13.0ms (52.9% of total)
ival-add: 7.0ms (28.5% of total)
ival-div: 4.0ms (16.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess327.0ms (5.8%)

Memory
-6.3MiB live, 32.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060218
1132210
2209210
3373210
4926210
52327210
63124210
73959210
84943210
95340210
105468210
115635210
125635210
135671210
145687210
155687210
166047210
177024210
187176210
197188210
207192210
217200210
227208210
237208210
247316210
257364210
267364210
01115
01815
12215
02213
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff128
(+.f64 (*.f64 c c) (*.f64 d d))
cost-diff128
(+.f64 (*.f64 a c) (*.f64 b d))
Iterations

Useful iterations: 0 (0.0ms)

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

localize29.0ms (0.5%)

Memory
-1.4MiB live, 37.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 a c)
accuracy0.00390625
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy0.015625
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy25.009386848984988
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
22.0ms256×0valid
Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (57.3% of total)
ival-add: 4.0ms (32.7% of total)
ival-div: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
4 → 43
Calls
Call 1
Inputs
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a c)
Outputs
(* b d)
(+ (* a c) (* b d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* a c)
(* a (+ c (/ (* b d) a)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(* c (+ a (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
Calls

12 calls:

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

simplify125.0ms (2.2%)

Memory
1.5MiB live, 79.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186593
1618583
21920559
35924557
08528512
Stop Event
iter limit
node limit
Counts
43 → 43
Calls
Call 1
Inputs
(* b d)
(+ (* a c) (* b d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* a c)
(* a (+ c (/ (* b d) a)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(* c (+ a (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
Outputs
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 c a))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(* a c)
(*.f64 c a)
(* a (+ c (/ (* b d) a)))
(fma.f64 d b (*.f64 c a))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 d b (*.f64 c a))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(* b (+ d (/ (* a c) b)))
(fma.f64 d b (*.f64 c a))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 d b (*.f64 c a))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(* c (+ a (/ (* b d) c)))
(fma.f64 d b (*.f64 c a))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 d b (*.f64 c a))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 b (*.f64 c c))) d (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (pow.f64 c #s(literal 3 binary64))))) d (/.f64 b (*.f64 c c))) d (/.f64 a c))
(* d (+ b (/ (* a c) d)))
(fma.f64 d b (*.f64 c a))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 d b (*.f64 c a))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d)

rewrite150.0ms (2.7%)

Memory
3.0MiB live, 113.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
15832
243532
3513132
0881828
Stop Event
iter limit
node limit
iter limit
Counts
4 → 339
Calls
Call 1
Inputs
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a c)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (-.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (*.f64 c a) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (*.f64 c a)))
(*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 d b) (*.f64 c a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (*.f64 c a))))
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a)))
(*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))))
(*.f64 (fma.f64 d b (*.f64 c a)) (/.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(*.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (fma.f64 (neg.f64 d) b (*.f64 c a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 d b) (*.f64 c a)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (+.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.f64 (*.f64 d b) (*.f64 c a)))
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 (exp.f64 (log.f64 b)) d (*.f64 c a))
(fma.f64 (exp.f64 (log.f64 a)) c (*.f64 d b))
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (*.f64 c a)) (neg.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(fma.f64 (*.f64 (*.f64 a a) c) (/.f64 c (fma.f64 (neg.f64 d) b (*.f64 c a))) (neg.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
(fma.f64 (*.f64 (*.f64 c c) a) (/.f64 a (fma.f64 (neg.f64 d) b (*.f64 c a))) (neg.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a)))))
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(neg.f64 (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (neg.f64 d) d)))
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))))
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a)))
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b)))
(fma.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(fma.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))))
(fma.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(fma.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))))
(+.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(+.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(+.f64 (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (neg.f64 d) d)))
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a)))
(+.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b)))
(*.f64 (exp.f64 (log.f64 a)) c)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 c a)
(*.f64 a c)
(pow.f64 (*.f64 c a) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 c a)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 c a)))

eval60.0ms (1.1%)

Memory
5.9MiB live, 52.4MiB allocated
Compiler

Compiled 11 205 to 1 059 computations (90.5% saved)

prune13.0ms (0.2%)

Memory
-14.5MiB live, 24.1MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New34814362
Fresh000
Picked101
Done000
Total34914363
Accuracy
99.5%
Counts
363 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.3%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))) (fma.f64 (neg.f64 d) b (*.f64 c a)))
60.6%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
36.9%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
32.7%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
23.8%
(/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d b (*.f64 c a))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))
60.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
60.5%
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a))))
49.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
56.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
52.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) d))
45.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
40.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
37.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
38.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
Compiler

Compiled 604 to 396 computations (34.4% saved)

simplify17.0ms (0.3%)

Memory
10.2MiB live, 10.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 c c)
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
cost-diff0
(*.f64 b d)
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff128
(+.f64 (*.f64 a c) (*.f64 b d))
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(/.f64 b (fma.f64 d d (*.f64 c c)))
cost-diff0
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
cost-diff0
(/.f64 a c)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
cost-diff0
(*.f64 b d)
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
cost-diff128
(+.f64 (*.f64 a c) (*.f64 b d))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031217
046209
161209
274209
3108209
4164209
5195209
6220209
7265209
8326209
9368209
10407209
11434209
12440209
13444209
14444209
0444209
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
a
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
(/.f64 b (fma.f64 d d (*.f64 c c)))
b
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
c
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
#s(literal 1 binary64)
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
c
(fma.f64 d b (*.f64 c a))
b
(*.f64 c a)
a
Outputs
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 d b (*.f64 c a))
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 b d)
(*.f64 d b)
b
d
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
a
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 b (fma.f64 d d (*.f64 c c)))
b
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
c
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 d b (*.f64 c a))
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 b d)
(*.f64 d b)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
#s(literal 1 binary64)
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
c
(fma.f64 d b (*.f64 c a))
b
(*.f64 c a)
a

localize58.0ms (1%)

Memory
16.4MiB live, 54.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 d d (*.f64 c c))
accuracy0.0078125
(fma.f64 d b (*.f64 c a))
accuracy0.6857068076638332
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
accuracy24.71658332235936
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))
accuracy0.0
(*.f64 a c)
accuracy0.015625
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy25.009386848984988
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy29.9116280490609
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy0.00390625
(fma.f64 d d (*.f64 c c))
accuracy7.086357305436394
(/.f64 b (fma.f64 d d (*.f64 c c)))
accuracy13.84616133272505
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
accuracy26.980383803068346
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
accuracy0.0
(/.f64 a c)
accuracy37.96290306100554
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy0.0
(*.f64 b d)
accuracy0.0
(*.f64 a c)
accuracy0.015625
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy25.009386848984988
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
Samples
41.0ms256×0valid
Compiler

Compiled 432 to 54 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 11.0ms (48.9% of total)
ival-div: 7.0ms (31.1% of total)
ival-add: 4.0ms (17.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.6%)

Memory
-5.6MiB live, 32.7MiB allocated
Counts
16 → 114
Calls
Call 1
Inputs
(+.f64 (*.f64 a c) (*.f64 b d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(*.f64 a c)
(*.f64 b d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
(/.f64 b (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))
(*.f64 c c)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(fma.f64 d b (*.f64 c a))
Outputs
(* b d)
(+ (* a c) (* b d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* a c)
(/ a c)
(/ (+ (pow c 2) (pow d 2)) (* b d))
(+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d))))
(+ (* a (- (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(+ (* a (- (* a (- (* -1 (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(* a (+ c (/ (* b d) a)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (+ (pow c 2) (pow d 2)) (* a c))
(/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a)
(/ (- (+ c (+ (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3))) (/ (pow d 2) c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)
(/ (- (+ c (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))
(/ b (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2)))) (+ (/ c a) (/ (pow d 2) (* a c))))
(+ (* b (- (/ (* b (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 3))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))
(+ (* b (- (* b (- (* -1 (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b)
(/ (- (+ d (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3))) (/ (pow c 2) d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)
(/ (- (+ d (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* b (pow d 3))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* b (pow d 4))) (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3))) b)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(pow c 2)
(* c (+ a (/ (* b d) c)))
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ c a)
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(* d (+ b (/ (* a c) d)))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
Calls

12 calls:

TimeVariablePointExpression
5.0ms
c
@-inf
((+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (* c c) (+ (* c c) (* d d)) (+ (* d b) (* c a)))
4.0ms
a
@inf
((+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (* c c) (+ (* c c) (* d d)) (+ (* d b) (* c a)))
3.0ms
b
@-inf
((+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (* c c) (+ (* c c) (* d d)) (+ (* d b) (* c a)))
2.0ms
b
@inf
((+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (* c c) (+ (* c c) (* d d)) (+ (* d b) (* c a)))
2.0ms
b
@0
((+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (* c c) (+ (* c c) (* d d)) (+ (* d b) (* c a)))

simplify154.0ms (2.7%)

Memory
15.5MiB live, 128.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06253070
120922969
278152934
082632781
Stop Event
iter limit
node limit
Counts
114 → 114
Calls
Call 1
Inputs
(* b d)
(+ (* a c) (* b d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* a c)
(/ a c)
(/ (+ (pow c 2) (pow d 2)) (* b d))
(+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d))))
(+ (* a (- (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(+ (* a (- (* a (- (* -1 (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(* a (+ c (/ (* b d) a)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (+ (pow c 2) (pow d 2)) (* a c))
(/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a)
(/ (- (+ c (+ (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3))) (/ (pow d 2) c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)
(/ (- (+ c (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))
(/ b (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2)))) (+ (/ c a) (/ (pow d 2) (* a c))))
(+ (* b (- (/ (* b (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 3))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))
(+ (* b (- (* b (- (* -1 (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b)
(/ (- (+ d (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3))) (/ (pow c 2) d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)
(/ (- (+ d (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* b (pow d 3))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* b (pow d 4))) (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3))) b)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(pow c 2)
(* c (+ a (/ (* b d) c)))
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ c a)
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(* d (+ b (/ (* a c) d)))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
Outputs
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 c a))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(* a c)
(*.f64 c a)
(/ a c)
(/.f64 a c)
(/ (+ (pow c 2) (pow d 2)) (* b d))
(/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) b) d)
(+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d))))
(fma.f64 (/.f64 c b) (/.f64 c d) (fma.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (*.f64 (/.f64 c d) (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 d b)))
(+ (* a (- (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(fma.f64 (fma.f64 (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d) d) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) c) c) a) (*.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) a (fma.f64 (/.f64 c b) (/.f64 c d) (/.f64 d b)))
(+ (* a (- (* a (- (* -1 (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(fma.f64 (fma.f64 (neg.f64 (/.f64 c (*.f64 b b))) (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d) d) (*.f64 (fma.f64 (neg.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 d d (*.f64 c c))) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) c) c) (*.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) a)) a (fma.f64 (/.f64 c b) (/.f64 c d) (/.f64 d b)))
(* a (+ c (/ (* b d) a)))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 d a) (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 c (fma.f64 d d (*.f64 c c)))) a)
(/ (+ (pow c 2) (pow d 2)) (* a c))
(/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) a) c)
(/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a)
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 d (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) c)) a) (fma.f64 d (/.f64 d c) c)) a)
(/ (- (+ c (+ (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3))) (/ (pow d 2) c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)
(/.f64 (+.f64 (fma.f64 d (/.f64 d c) (/.f64 (fma.f64 (neg.f64 b) (*.f64 d (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) c)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) d) b) b) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) a)) c) a)
(/ (- (+ c (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a)
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) (fma.f64 d d (*.f64 c c))) (pow.f64 c #s(literal 4 binary64))) (fma.f64 d (/.f64 d c) c)) (fma.f64 (neg.f64 (*.f64 b (/.f64 b (*.f64 a a)))) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) d) (pow.f64 c #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) a) (/.f64 b (*.f64 c c))))) a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 d a) b c)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 d a) (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 c (fma.f64 d d (*.f64 c c))))))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a))
(/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) a) (/.f64 b (*.f64 c c)) (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 c))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (*.f64 d (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) c)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) d) b) b) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (neg.f64 a)) (/.f64 (fma.f64 d d (*.f64 c c)) c)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))
(/.f64 (-.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 c)) (/.f64 (fma.f64 (neg.f64 b) (*.f64 d (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) c)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) (fma.f64 d d (*.f64 c c))) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) d) (pow.f64 c #s(literal 3 binary64))))) (neg.f64 a))) a)) (neg.f64 a))
(/ b (+ (pow c 2) (pow d 2)))
(/.f64 b (fma.f64 d d (*.f64 c c)))
(+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2)))) (+ (/ c a) (/ (pow d 2) (* a c))))
(fma.f64 (/.f64 d a) (/.f64 d c) (fma.f64 (/.f64 (neg.f64 b) (*.f64 a a)) (*.f64 d (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) c)) (/.f64 c a)))
(+ (* b (- (/ (* b (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 3))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))
(fma.f64 (fma.f64 (neg.f64 (/.f64 d (*.f64 a a))) (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) c) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) d) b) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) b (fma.f64 (/.f64 d a) (/.f64 d c) (/.f64 c a)))
(+ (* b (- (* b (- (* -1 (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))
(fma.f64 (fma.f64 (neg.f64 (/.f64 d (*.f64 a a))) (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) c) (*.f64 (fma.f64 (neg.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) (fma.f64 d d (*.f64 c c))) (pow.f64 c #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) d) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) b)) b (fma.f64 (/.f64 d a) (/.f64 d c) (/.f64 c a)))
(* b (+ d (/ (* a c) b)))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 c b) (/.f64 d (fma.f64 d d (*.f64 c c)))) b)
(/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b)
(/.f64 (fma.f64 (neg.f64 (/.f64 a b)) (*.f64 (/.f64 c d) (/.f64 (fma.f64 d d (*.f64 c c)) d)) (fma.f64 c (/.f64 c d) d)) b)
(/ (- (+ d (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3))) (/ (pow c 2) d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)
(/.f64 (+.f64 (fma.f64 c (/.f64 c d) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (/.f64 (fma.f64 d d (*.f64 c c)) (pow.f64 d #s(literal 3 binary64))) (*.f64 (neg.f64 a) (*.f64 (/.f64 c d) (/.f64 (fma.f64 d d (*.f64 c c)) d)))) b)) d) b)
(/ (- (+ d (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b)
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 d d (*.f64 c c))) (pow.f64 d #s(literal 4 binary64))) (fma.f64 c (/.f64 c d) d)) (fma.f64 (neg.f64 (*.f64 a (/.f64 a (*.f64 b b)))) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) c) c) (pow.f64 d #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) c) b) (/.f64 a (*.f64 d d))))) b)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 (/.f64 c b) a d)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 c b) (/.f64 d (fma.f64 d d (*.f64 c c))))))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b))
(/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) c) b) (/.f64 a (*.f64 d d)) (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d))) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* b (pow d 3))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) b) (/.f64 (fma.f64 d d (*.f64 c c)) (pow.f64 d #s(literal 3 binary64))) (*.f64 (neg.f64 a) (*.f64 (/.f64 c d) (/.f64 (fma.f64 d d (*.f64 c c)) d)))) (neg.f64 b)) (/.f64 (fma.f64 d d (*.f64 c c)) d)) (neg.f64 b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* b (pow d 4))) (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3))) b)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 d)) (/.f64 (fma.f64 (neg.f64 a) (*.f64 (/.f64 c d) (/.f64 (fma.f64 d d (*.f64 c c)) d)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 d #s(literal 4 binary64))) (/.f64 (fma.f64 d d (*.f64 c c)) b) (*.f64 (*.f64 (neg.f64 a) a) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) c) c) (pow.f64 d #s(literal 3 binary64))))) (neg.f64 b))) b)) (neg.f64 b))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (pow.f64 d #s(literal 3 binary64)))) (/.f64 b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
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(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) (/.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 (*.f64 c c) b))) (neg.f64 d))) (neg.f64 d)) (/.f64 #s(literal 1 binary64) b)) (neg.f64 d))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) (/.f64 (fma.f64 (neg.f64 (/.f64 a b)) (*.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 (*.f64 c c) b))) (/.f64 c d)) (neg.f64 (fma.f64 (*.f64 c c) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 (*.f64 c c) b)))) (neg.f64 d))) d) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b)) (neg.f64 d))

rewrite495.0ms (8.8%)

Memory
-26.4MiB live, 214.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031162
046155
1163155
21029155
08478155
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 586
Calls
Call 1
Inputs
(+.f64 (*.f64 a c) (*.f64 b d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(*.f64 a c)
(*.f64 b d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
(/.f64 b (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))
(*.f64 c c)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(fma.f64 d b (*.f64 c a))
Outputs
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (*.f64 c a))))
(*.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a)))
(*.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(literal -1 binary64))))
(*.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)) #s(literal -1 binary64))))
(*.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d)))) (*.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))))) (+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a)))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))))) (+.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (fma.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) (*.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (fma.f64 c a (*.f64 (neg.f64 b) d)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (fma.f64 d b (*.f64 (neg.f64 c) a)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 c a (*.f64 (neg.f64 b) d))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) (*.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (*.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)) (fma.f64 d b (*.f64 (neg.f64 c) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b) d))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 d b (*.f64 (neg.f64 c) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d)))
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)))))
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d b (*.f64 (neg.f64 c) a)))
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 d b (*.f64 c a))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a)))))
(fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d)))))
(fma.f64 #s(literal 1 binary64) (*.f64 d b) (*.f64 #s(literal 1 binary64) (*.f64 c a)))
(fma.f64 #s(literal 1 binary64) (*.f64 c a) (*.f64 #s(literal 1 binary64) (*.f64 d b)))
(fma.f64 (*.f64 d b) #s(literal 1 binary64) (*.f64 (*.f64 c a) #s(literal 1 binary64)))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 c a))
(fma.f64 (*.f64 c a) #s(literal 1 binary64) (*.f64 (*.f64 d b) #s(literal 1 binary64)))
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(/.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a))))
(fma.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a)))))
(fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d)))))
(fma.f64 #s(literal 1 binary64) (*.f64 d b) (*.f64 #s(literal 1 binary64) (*.f64 c a)))
(fma.f64 #s(literal 1 binary64) (*.f64 c a) (*.f64 #s(literal 1 binary64) (*.f64 d b)))
(fma.f64 (*.f64 d b) #s(literal 1 binary64) (*.f64 (*.f64 c a) #s(literal 1 binary64)))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 c a))
(fma.f64 (*.f64 c a) #s(literal 1 binary64) (*.f64 (*.f64 d b) #s(literal 1 binary64)))
(fma.f64 c a (*.f64 d b))
(fma.f64 a c (*.f64 d b))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))))
(-.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d b (*.f64 c a))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (*.f64 (neg.f64 c) a)) (neg.f64 (*.f64 (neg.f64 b) d)))
(+.f64 (*.f64 (*.f64 d b) #s(literal 1 binary64)) (*.f64 (*.f64 c a) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) (*.f64 (*.f64 d b) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 d b)) (*.f64 #s(literal 1 binary64) (*.f64 c a)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 c a)) (*.f64 #s(literal 1 binary64) (*.f64 d b)))
(+.f64 (neg.f64 (*.f64 (neg.f64 b) d)) (neg.f64 (*.f64 (neg.f64 c) a)))
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (neg.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d)))))
(+.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 c) a)))))
(+.f64 (*.f64 d b) (*.f64 c a))
(+.f64 (*.f64 c a) (*.f64 d b))

eval164.0ms (2.9%)

Memory
0.5MiB live, 195.7MiB allocated
Compiler

Compiled 48 443 to 3 705 computations (92.4% saved)

prune61.0ms (1.1%)

Memory
3.6MiB live, 82.6MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1 375151 390
Fresh459
Picked415
Done000
Total1 383211 404
Accuracy
100.0%
Counts
1 404 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
32.7%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
36.9%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
16.2%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
45.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (fma.f64 (fma.f64 (fma.f64 (/.f64 a d) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 d b))) c (/.f64 (neg.f64 a) (*.f64 b b))) c (/.f64 d b))))
37.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 d (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) c)) a) (fma.f64 d (/.f64 d c) c)) a)))
40.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
37.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 d (*.f64 a a)) (/.f64 (neg.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 (*.f64 (*.f64 b b) d) d) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 c))) (neg.f64 c)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 c))))
53.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
49.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
57.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
56.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
52.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) d))
45.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
40.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
40.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
41.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
27.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
38.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
40.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
17.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
Compiler

Compiled 1 123 to 697 computations (37.9% saved)

simplify5.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 d c)
cost-diff0
(fma.f64 (/.f64 d c) b a)
cost-diff0
(/.f64 (fma.f64 (/.f64 d c) b a) c)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(/.f64 d (fma.f64 d d (*.f64 c c)))
cost-diff0
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
cost-diff0
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
cost-diff0
(*.f64 d b)
cost-diff0
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
cost-diff0
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff0
(/.f64 b d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(*.f64 c a)
cost-diff0
(fma.f64 d b (*.f64 c a))
cost-diff0
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031209
047204
158204
262204
364204
064204
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
(fma.f64 d b (*.f64 c a))
d
b
(*.f64 c a)
c
a
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
d
b
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 d (fma.f64 d d (*.f64 c c)))
d
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
d
c
b
a
Outputs
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 c c (*.f64 d d)))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 a c))
d
b
(*.f64 c a)
(*.f64 a c)
c
a
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
#s(approx (+ (* a c) (* b d)) (*.f64 b d))
(*.f64 d b)
(*.f64 b d)
d
b
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(/.f64 d (fma.f64 d d (*.f64 c c)))
(/.f64 d (fma.f64 c c (*.f64 d d)))
d
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(*.f64 c c)
c
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
d
c
b
a

localize64.0ms (1.1%)

Memory
-17.8MiB live, 68.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 d c)
accuracy0.9814966040824115
(/.f64 (fma.f64 (/.f64 d c) b a) c)
accuracy2.616242620145584
(fma.f64 (/.f64 d c) b a)
accuracy31.855144864404572
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
accuracy0.00390625
(fma.f64 d d (*.f64 c c))
accuracy3.3730330006523297
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
accuracy21.043740986964156
(/.f64 d (fma.f64 d d (*.f64 c c)))
accuracy26.980383803068346
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
accuracy0.0
(*.f64 c c)
accuracy25.009386848984988
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy29.9116280490609
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy30.62988845700188
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy0.0
(/.f64 b d)
accuracy34.97235847913835
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy0.0
(*.f64 d d)
accuracy0.0
(*.f64 c a)
accuracy0.0078125
(fma.f64 d b (*.f64 c a))
accuracy25.009386848984988
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
Samples
47.0ms256×0valid
Compiler

Compiled 399 to 56 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 12.0ms (44% of total)
ival-div: 9.0ms (33% of total)
ival-add: 6.0ms (22% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.5%)

Memory
0.1MiB live, 38.8MiB allocated
Counts
20 → 94
Calls
Call 1
Inputs
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(fma.f64 c c (*.f64 d d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 d (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
(*.f64 d d)
(*.f64 c c)
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* b d)
(+ (* a c) (* b d))
(* a c)
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) c)
(+ a (/ (* b d) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ c (/ (* b d) a)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ b d)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a b) (/ d c)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ 1 d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) c)
(/ d c)
(pow c 2)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* c (+ a (/ (* b d) c)))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a d) (/ b c)))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
Calls

12 calls:

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

simplify243.0ms (4.3%)

Memory
8.6MiB live, 126.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04061534
112901488
239021435
081921361
Stop Event
iter limit
node limit
Counts
94 → 93
Calls
Call 1
Inputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* b d)
(+ (* a c) (* b d))
(* a c)
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) c)
(+ a (/ (* b d) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ c (/ (* b d) a)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ b d)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a b) (/ d c)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ 1 d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) c)
(/ d c)
(pow c 2)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* c (+ a (/ (* b d) c)))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a d) (/ b c)))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(* a c)
(*.f64 a c)
(/ (* b d) (pow c 2))
(*.f64 (/.f64 b (*.f64 c c)) d)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 (/.f64 b (*.f64 c c)) d (/.f64 a c))
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(+ a (/ (* b d) c))
(fma.f64 (/.f64 b c) d a)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (*.f64 d d)))) a)
(* a (+ c (/ (* b d) a)))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(/ a c)
(/.f64 a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 b (*.f64 (/.f64 (/.f64 d (*.f64 c c)) a) a) (/.f64 a c))
a
(* a (+ 1 (/ (* b d) (* a c))))
(fma.f64 (/.f64 (/.f64 (*.f64 b d) a) c) a a)
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (*.f64 d d)))) a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 b (*.f64 (/.f64 (/.f64 d (*.f64 c c)) a) a) (/.f64 a c))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(*.f64 (neg.f64 a) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 b d) a) c)))
(/ b d)
(/.f64 b d)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))) b)
(* b (+ d (/ (* a c) b)))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b)
(* b (+ (/ a b) (/ d c)))
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b)
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))) b)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 3 binary64))) (/.f64 b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 7 binary64))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d))
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (-.f64 (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64))))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 a c (*.f64 b d)) c)
(/ d c)
(/.f64 d c)
(pow c 2)
(*.f64 c c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) a) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)
(* c (+ a (/ (* b d) c)))
(*.f64 (fma.f64 (/.f64 b c) d a) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c)
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/.f64 (*.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64)))) c)
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/.f64 (/.f64 (*.f64 b (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) (-.f64 d (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c)))) c) c)
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/.f64 (fma.f64 b (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c)))) (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) c)
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) d) c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) c)
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64)))) c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 b d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (fma.f64 (/.f64 b c) d a) c)
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 b (*.f64 c c))) d (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (pow.f64 c #s(literal 3 binary64))))) d (/.f64 b (*.f64 c c))) d (/.f64 a c))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(fma.f64 (/.f64 (neg.f64 b) c) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (*.f64 (/.f64 b (*.f64 c c)) d))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(fma.f64 (/.f64 b c) (/.f64 d c) (*.f64 (-.f64 (*.f64 (*.f64 d d) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(fma.f64 (/.f64 b c) (/.f64 d c) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 d) d) (/.f64 b (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64))))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) c) (/.f64 d (*.f64 c c)))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(fma.f64 (fma.f64 d (/.f64 d (pow.f64 c #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64)) (/.f64 d (*.f64 c c)))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 d) (/.f64 d (pow.f64 c #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64)) (/.f64 d (*.f64 c c)))
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 a c)) d) b) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 3 binary64))) (/.f64 b d))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (fma.f64 b (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) b) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (-.f64 b (*.f64 b (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) d))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) d)
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d)
(* d (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 a c)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 3 binary64))) (/.f64 b d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(/.f64 (fma.f64 b (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) b) d)
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/.f64 (-.f64 b (*.f64 b (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) d)
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d)
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) d)
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d)

rewrite244.0ms (4.3%)

Memory
24.6MiB live, 146.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031190
047185
1173185
21101185
08878185
Stop Event
iter limit
node limit
iter limit
Counts
20 → 798
Calls
Call 1
Inputs
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(fma.f64 c c (*.f64 d d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 d (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
(*.f64 d d)
(*.f64 c c)
Outputs
(*.f64 (*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (+.f64 d c)) (-.f64 d c))
(*.f64 (*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 c d)) (-.f64 c d))
(*.f64 (*.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) (pow.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (pow.f64 (fma.f64 b d (*.f64 (neg.f64 c) a)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (*.f64 (+.f64 d c) (-.f64 d c)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (*.f64 (+.f64 c d) (-.f64 c d)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 a c)) (+.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 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 a c)) (+.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 #s(literal 1 binary64) (neg.f64 (fma.f64 b d (*.f64 a c)))) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))))
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 b d (*.f64 a c))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 b d (*.f64 a c))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b 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))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) #s(literal -1 binary64)) (pow.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))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 (neg.f64 c) a)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 (neg.f64 c) a)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 (neg.f64 c) a)) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 (neg.f64 c) a)) #s(literal -1 binary64)) (pow.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))) #s(literal -1 binary64))))
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(pow.f64 (pow.f64 (fma.f64 (/.f64 d c) b a) #s(literal -1 binary64)) #s(literal -1 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 d c) b) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 d c) b) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 d c) b) a)) (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 d c) b) a)) (fma.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 d c) b) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 d c) b) a)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 d c) b) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 d c) b) a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (*.f64 (/.f64 d c) b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 d c) b) a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)))) (-.f64 (*.f64 (/.f64 d c) b) a))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))))) (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 d c) b) a)) (*.f64 (-.f64 (*.f64 (/.f64 d c) b) a) (*.f64 a a))) (*.f64 (-.f64 (*.f64 (/.f64 d c) b) a) (-.f64 (*.f64 (/.f64 d c) b) a)))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) (-.f64 a (*.f64 (/.f64 d c) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (-.f64 (*.f64 (/.f64 d c) b) a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 d c) b) (-.f64 (*.f64 (/.f64 d c) b) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 d c) b a) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 d c) b) a))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (-.f64 (*.f64 (/.f64 d c) b) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (*.f64 (/.f64 d c) b)) (-.f64 (*.f64 a a) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 d c) b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 d c) b) (-.f64 (*.f64 (/.f64 d c) b) a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 d c) b a) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (fma.f64 a a (*.f64 (*.f64 (/.f64 d c) b) (-.f64 (*.f64 (/.f64 d c) b) a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)))
(fma.f64 (*.f64 (*.f64 b d) #s(literal 1 binary64)) (pow.f64 c #s(literal -1 binary64)) (neg.f64 (neg.f64 a)))
(fma.f64 (*.f64 (*.f64 b d) #s(literal 1 binary64)) (pow.f64 c #s(literal -1 binary64)) a)
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) c) (neg.f64 (neg.f64 a)))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) c) a)
(fma.f64 (/.f64 b c) d (neg.f64 (neg.f64 a)))
(fma.f64 (/.f64 b c) d a)
(fma.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal -1 binary64) c) (neg.f64 (neg.f64 a)))
(fma.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal -1 binary64) c) a)
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 b (pow.f64 d #s(literal -1 binary64))) (neg.f64 (neg.f64 a)))
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 b (pow.f64 d #s(literal -1 binary64))) a)
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 b d) (neg.f64 (neg.f64 a)))
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 b d) a)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 d c) b) (neg.f64 (neg.f64 a)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 d c) b) a)
(fma.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 d c) b) a) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 d c) b) a))))
(fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal -1 binary64) c) b) (neg.f64 (neg.f64 a)))
(fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal -1 binary64) c) b) a)
(fma.f64 (/.f64 d c) b (neg.f64 (neg.f64 a)))
(fma.f64 (/.f64 d c) b a)
(fma.f64 (*.f64 b d) (pow.f64 c #s(literal -1 binary64)) (neg.f64 (neg.f64 a)))
(fma.f64 (*.f64 b d) (pow.f64 c #s(literal -1 binary64)) a)
(fma.f64 b (/.f64 d c) (neg.f64 (neg.f64 a)))
(fma.f64 b (/.f64 d c) a)
(fma.f64 d (/.f64 b c) (neg.f64 (neg.f64 a)))
(fma.f64 d (/.f64 b c) a)
(fma.f64 d (*.f64 (pow.f64 c #s(literal -1 binary64)) b) (neg.f64 (neg.f64 a)))
(fma.f64 d (*.f64 (pow.f64 c #s(literal -1 binary64)) b) a)
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 (/.f64 d c) b))) (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (-.f64 a (*.f64 (/.f64 d c) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 d c) b) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 d c) b) a)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 d c) b a)))
(+.f64 (neg.f64 (neg.f64 a)) (*.f64 (/.f64 d c) b))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 d c) b) a)) (neg.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 d c) b) a))))
(+.f64 (*.f64 (/.f64 d c) b) (neg.f64 (neg.f64 a)))
(+.f64 (*.f64 (/.f64 d c) b) a)
(+.f64 a (*.f64 (/.f64 d c) b))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 d)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) c))
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 c #s(literal -1 binary64)) d)
(*.f64 #s(literal 1 binary64) (/.f64 d c))
(*.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) c))
(*.f64 d (pow.f64 c #s(literal -1 binary64)))
(pow.f64 (/.f64 c d) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) d))
(/.f64 #s(literal 1 binary64) (/.f64 c d))
(/.f64 (neg.f64 d) (neg.f64 c))
(/.f64 d c)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 c d)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) c)))
(neg.f64 (/.f64 (neg.f64 d) c))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (neg.f64 d) c))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 d) c))
(exp.f64 (*.f64 (log.f64 (/.f64 c d)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)))
(*.f64 d d)
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64))
(pow.f64 (*.f64 d d) #s(literal 1 binary64))
(pow.f64 d #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))

eval104.0ms (1.9%)

Memory
9.6MiB live, 116.8MiB allocated
Compiler

Compiled 26 933 to 2 364 computations (91.2% saved)

prune86.0ms (1.5%)

Memory
-30.0MiB live, 64.7MiB allocated
Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New79010800
Fresh6915
Picked235
Done011
Total79823821
Accuracy
100.0%
Counts
821 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.9%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
32.7%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
16.2%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
37.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 d (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) c)) a) (fma.f64 d (/.f64 d c) c)) a)))
40.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
37.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 d (*.f64 a a)) (/.f64 (neg.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 (*.f64 (*.f64 b b) d) d) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 c))) (neg.f64 c)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 c))))
53.5%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d))
57.5%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
53.2%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 a c)) d) b) d))
45.5%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) a) c))
41.3%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
53.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
49.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
56.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
17.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
45.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
40.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
27.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
49.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) (/.f64 #s(literal -1 binary64) c)))
40.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
16.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b))
45.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
17.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
Compiler

Compiled 1 225 to 746 computations (39.1% saved)

simplify6.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 c d)
cost-diff0
(/.f64 (/.f64 c d) d)
cost-diff0
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
cost-diff0
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
cost-diff0
(*.f64 c a)
cost-diff0
(fma.f64 d b (*.f64 c a))
cost-diff0
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff0
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
cost-diff0
(/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
cost-diff0
(*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
cost-diff0
(/.f64 #s(literal 1 binary64) d)
cost-diff0
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))
cost-diff0
(*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
cost-diff0
(/.f64 c d)
cost-diff0
(fma.f64 (/.f64 c d) a b)
cost-diff0
(/.f64 (fma.f64 (/.f64 c d) a b) d)
cost-diff0
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040280
057277
176277
282277
389277
490277
090264
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
c
d
a
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
(*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b)
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal 1 binary64) d)
#s(literal 1 binary64)
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
(*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d)
(/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
b
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(*.f64 d d)
d
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
d
b
(*.f64 c a)
c
a
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(/.f64 (/.f64 c d) d)
(/.f64 c d)
c
d
a
(/.f64 b d)
b
Outputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
c
d
a
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
(*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b)
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal 1 binary64) d)
#s(literal 1 binary64)
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) #s(approx (+ (* d d) (* c c)) (*.f64 d d))))
(*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d)
(/.f64 (*.f64 b d) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
(/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
b
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(*.f64 d d)
d
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(fma.f64 a c (*.f64 b d))
d
b
(*.f64 c a)
(*.f64 a c)
c
a
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(/.f64 (/.f64 c d) d)
(/.f64 c d)
c
d
a
(/.f64 b d)
b

localize128.0ms (2.3%)

Memory
19.7MiB live, 92.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 b d)
accuracy0.10546875
(/.f64 (/.f64 c d) d)
accuracy5.644202744870548
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
accuracy26.92349325710688
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
accuracy0.0
(*.f64 c a)
accuracy0.0078125
(fma.f64 d b (*.f64 c a))
accuracy25.009386848984988
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy29.9116280490609
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy7.086357305436394
(/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
accuracy13.84616133272505
(*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d)
accuracy25.247499729289302
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
accuracy26.980383803068346
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
accuracy0.0
(/.f64 #s(literal 1 binary64) d)
accuracy3.3730330006523297
(*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b)
accuracy26.980383803068346
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
accuracy28.425494746993632
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))
accuracy0.0
(/.f64 c d)
accuracy0.524850219765443
(/.f64 (fma.f64 (/.f64 c d) a b) d)
accuracy3.1177819254393864
(fma.f64 (/.f64 c d) a b)
accuracy26.92349325710688
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
Samples
109.0ms256×0valid
Compiler

Compiled 489 to 72 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-div: 44.0ms (66.8% of total)
ival-mult: 15.0ms (22.8% of total)
ival-add: 6.0ms (9.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.7%)

Memory
-5.4MiB live, 43.8MiB allocated
Counts
20 → 111
Calls
Call 1
Inputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
(*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b)
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal 1 binary64) d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
(*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d)
(/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(/.f64 (/.f64 c d) d)
(/.f64 b d)
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
b
(+ b (/ (* a c) d))
(* b d)
(+ (* a c) (* b d))
(* a c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ c (/ (* b d) a)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(/ b (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ d (/ (* a c) b)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ c d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ 1 d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ c (pow d 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a d) (/ b c)))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* c (+ a (/ (* b d) c)))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) d)
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* d (+ b (/ (* a c) d)))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
Calls

12 calls:

TimeVariablePointExpression
8.0ms
c
@inf
((/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ d (+ (* d d) (* c c))) b) (/ d (+ (* d d) (* c c))) (/ 1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ c d) d) a) (/ b d)) (/ (/ c d) d) (/ b d))
7.0ms
a
@-inf
((/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ d (+ (* d d) (* c c))) b) (/ d (+ (* d d) (* c c))) (/ 1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ c d) d) a) (/ b d)) (/ (/ c d) d) (/ b d))
3.0ms
c
@-inf
((/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ d (+ (* d d) (* c c))) b) (/ d (+ (* d d) (* c c))) (/ 1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ c d) d) a) (/ b d)) (/ (/ c d) d) (/ b d))
3.0ms
b
@-inf
((/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ d (+ (* d d) (* c c))) b) (/ d (+ (* d d) (* c c))) (/ 1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ c d) d) a) (/ b d)) (/ (/ c d) d) (/ b d))
3.0ms
d
@-inf
((/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ d (+ (* d d) (* c c))) b) (/ d (+ (* d d) (* c c))) (/ 1 d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* d d) (* c c))) d) (/ b (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (+ (* d b) (* c a)) (* c a) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ c d) d) a) (/ b d)) (/ (/ c d) d) (/ b d))

simplify143.0ms (2.5%)

Memory
-12.0MiB live, 177.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04451877
114041817
242211758
083181677
Stop Event
iter limit
node limit
Counts
111 → 110
Calls
Call 1
Inputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
b
(+ b (/ (* a c) d))
(* b d)
(+ (* a c) (* b d))
(* a c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ c (/ (* b d) a)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(/ b (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ d (/ (* a c) b)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ c d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ 1 d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(/ b (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ c (pow d 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a d) (/ b c)))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ b (pow c 2))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* c (+ a (/ (* b d) c)))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) d)
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* d (+ b (/ (* a c) d)))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 a (*.f64 d d)) c (/.f64 b d))
b
(+ b (/ (* a c) d))
(fma.f64 (/.f64 a d) c b)
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(* a c)
(*.f64 a c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) a) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a)
(/ (* a c) (pow d 2))
(*.f64 (/.f64 a (*.f64 d d)) c)
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* a (+ (/ b a) (/ c d)))
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a)
(* a (+ c (/ (* b d) a)))
(*.f64 (fma.f64 d (/.f64 b a) c) a)
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (fma.f64 (/.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) a) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a)
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (fma.f64 d (/.f64 b a) c) a)
(/ b (+ (pow c 2) (pow d 2)))
(/.f64 b (fma.f64 c c (*.f64 d d)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))) b)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d))
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 (/.f64 (/.f64 (*.f64 a c) d) b) b b)
(* b (+ d (/ (* a c) b)))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))) b)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(*.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) d) b)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d))
(/ c d)
(/.f64 c d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(*.f64 b (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 7 binary64))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d))
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d)
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (+.f64 (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 7 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 3 binary64))))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d))
(/ b (pow d 2))
(/.f64 (/.f64 b d) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(/.f64 (*.f64 b (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d)) d)
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 b d) d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 b d) d))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) a) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c)
(* c (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)
(/ (* b d) (pow c 2))
(*.f64 (/.f64 (/.f64 b c) c) d)
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/.f64 (*.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64)))) c)
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/.f64 (/.f64 (*.f64 b (-.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) d) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c))) c) c)
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c)) (*.f64 b (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))))) (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) c)
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) d) c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) c)
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64)))) c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) c)
(/ b (pow c 2))
(/.f64 (/.f64 b c) c)
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c))))) (*.f64 c c))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) b) (*.f64 c c))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/.f64 (fma.f64 (neg.f64 (pow.f64 d #s(literal 6 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64))) (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) b)) (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* c (+ a (/ (* b d) c)))
(*.f64 (fma.f64 (/.f64 d c) b a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 b d (/.f64 (fma.f64 (*.f64 a d) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c)
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (fma.f64 (/.f64 d c) b a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 (/.f64 (/.f64 b c) c) d (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 (/.f64 b c) c)) d (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (pow.f64 c #s(literal 3 binary64))))) d (/.f64 (/.f64 b c) c)) d (/.f64 a c))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) d) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 a c (*.f64 b d)) d)
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(fma.f64 (/.f64 d c) (/.f64 b c) (*.f64 (neg.f64 b) (/.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) c)))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(fma.f64 (/.f64 d c) (/.f64 b c) (*.f64 (-.f64 (*.f64 (*.f64 d d) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(fma.f64 (/.f64 d c) (/.f64 b c) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 d) d) (/.f64 b (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64))))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) c) (/.f64 d (*.f64 c c)))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(fma.f64 (fma.f64 d (/.f64 d (pow.f64 c #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64)) (/.f64 d (*.f64 c c)))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(fma.f64 (fma.f64 d (/.f64 d (pow.f64 c #s(literal 6 binary64))) (+.f64 (/.f64 (neg.f64 (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 d #s(literal 3 binary64)) (/.f64 d (*.f64 c c)))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c))))) (*.f64 c c))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(fma.f64 (-.f64 (*.f64 (*.f64 d d) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 (/.f64 b c) c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 d) d) (/.f64 b (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 (/.f64 b c) c))
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 a c)) d) b) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(*.f64 b (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (*.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (fma.f64 b (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (neg.f64 b)) (neg.f64 d))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (*.f64 b (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d)) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/.f64 (*.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) (*.f64 d d))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (/.f64 (fma.f64 b (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (neg.f64 b)) (neg.f64 d)) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 a c)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(*.f64 b (/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(/.f64 (*.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d)
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/.f64 (fma.f64 b (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (neg.f64 b)) (neg.f64 d))
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d)
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d)
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (fma.f64 (/.f64 a d) c b) d)

rewrite252.0ms (4.5%)

Memory
19.9MiB live, 216.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040254
057251
1219251
21523251
08519238
Stop Event
iter limit
node limit
iter limit
Counts
20 → 563
Calls
Call 1
Inputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
(*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b)
#s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal 1 binary64) d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
(*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d)
(/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (+ (* d d) (* c c)) (*.f64 d d))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(/.f64 (/.f64 c d) d)
(/.f64 b d)
Outputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(*.f64 (/.f64 (fma.f64 (/.f64 c d) a b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d))
(*.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) d) (/.f64 (fma.f64 (/.f64 c d) a b) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) d) (/.f64 (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) d) (/.f64 (pow.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 d (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 c d) a b) #s(literal 1 binary64)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (/.f64 #s(literal -1 binary64) d))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (fma.f64 (/.f64 c d) a b))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(*.f64 (/.f64 (fma.f64 (/.f64 c d) a b) d) (/.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (fma.f64 (/.f64 c d) a (neg.f64 b))))
(*.f64 (/.f64 (fma.f64 (/.f64 c d) a b) d) #s(literal 1 binary64))
(*.f64 (fma.f64 (/.f64 c d) a b) (pow.f64 d #s(literal -1 binary64)))
(pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 d #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 c d) a (neg.f64 b))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) (pow.f64 d #s(literal -1 binary64)))) (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 c d) a b) #s(literal -1 binary64))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 c d) a b) #s(literal 1 binary64))) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)))) (neg.f64 (neg.f64 (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) d)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 d #s(literal -1 binary64))) (fma.f64 (/.f64 c d) a (neg.f64 b)))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) (pow.f64 d #s(literal -1 binary64))) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 c d) a b) #s(literal -1 binary64)) (neg.f64 d))
(/.f64 (*.f64 (fma.f64 (/.f64 c d) a b) #s(literal 1 binary64)) d)
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 c d) a b))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)))) (neg.f64 (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (neg.f64 d)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) (neg.f64 d)))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) d))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (fma.f64 (/.f64 c d) a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 d #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) (pow.f64 d #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) (*.f64 (fma.f64 (/.f64 c d) a b) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (fma.f64 (/.f64 c d) a b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (neg.f64 d)) (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d) (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) (neg.f64 d)) (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) d) (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b))) (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)))) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b)))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d))
(neg.f64 (/.f64 (fma.f64 (/.f64 c d) a b) (neg.f64 d)))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))) (/.f64 (*.f64 b b) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) d) (/.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) d))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (fma.f64 (/.f64 c d) a b) (neg.f64 d)))
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 (/.f64 c d) a b))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64)))
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(/.f64 (*.f64 (/.f64 c d) #s(literal -1 binary64)) (neg.f64 d))
(/.f64 (neg.f64 (pow.f64 d #s(literal -1 binary64))) (neg.f64 (/.f64 d c)))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 (*.f64 d d))))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (*.f64 d (neg.f64 d))))
(/.f64 (*.f64 (neg.f64 c) #s(literal -1 binary64)) (*.f64 d d))
(/.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)) (*.f64 (neg.f64 d) d))
(/.f64 (*.f64 c #s(literal -1 binary64)) (*.f64 d (neg.f64 d)))
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d d))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 d d)))
(/.f64 (neg.f64 c) (*.f64 d (neg.f64 d)))
(/.f64 (/.f64 c (neg.f64 d)) (neg.f64 (neg.f64 (neg.f64 d))))
(/.f64 (/.f64 c (neg.f64 d)) (neg.f64 d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d d) c)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (neg.f64 d)))
(/.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 d c))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) (*.f64 (/.f64 c d) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 (neg.f64 c) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 d) d) (*.f64 (neg.f64 c) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (neg.f64 d)) (*.f64 c #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 c #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (neg.f64 d)) (neg.f64 c)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 d c) (neg.f64 d)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 d d) c))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 d c) (neg.f64 d))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) c))
(/.f64 (/.f64 c d) (neg.f64 (neg.f64 d)))
(/.f64 (/.f64 c d) d)
(/.f64 c (*.f64 d d))
(neg.f64 (/.f64 (/.f64 c (neg.f64 d)) d))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 d d))) (/.f64 c (neg.f64 (*.f64 d d))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 d (neg.f64 d))) (/.f64 c (*.f64 d (neg.f64 d))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (/.f64 c (neg.f64 d)) d))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d d) c)) #s(literal -1 binary64)))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d))
(*.f64 (*.f64 b #s(literal 1 binary64)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))
(*.f64 (/.f64 b d) #s(literal 1 binary64))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 d #s(literal -1 binary64)) b)
(*.f64 #s(literal 1 binary64) (/.f64 b d))
(*.f64 b (pow.f64 d #s(literal -1 binary64)))
(pow.f64 (/.f64 d b) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 b #s(literal -1 binary64))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 d))))
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 d))
(/.f64 (*.f64 b #s(literal -1 binary64)) (neg.f64 d))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 d)))
(/.f64 (*.f64 b #s(literal 1 binary64)) d)
(/.f64 (neg.f64 b) (neg.f64 d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d b)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) (*.f64 b #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 b #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d b))))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(/.f64 b d)
(neg.f64 (/.f64 (neg.f64 b) d))
(neg.f64 (/.f64 b (neg.f64 d)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 b (neg.f64 d)))
(exp.f64 (*.f64 (log.f64 (/.f64 d b)) #s(literal -1 binary64)))

eval125.0ms (2.2%)

Memory
-36.5MiB live, 142.3MiB allocated
Compiler

Compiled 23 800 to 2 491 computations (89.5% saved)

prune30.0ms (0.5%)

Memory
20.1MiB live, 59.4MiB allocated
Pruning

29 alts after pruning (20 fresh and 9 done)

PrunedKeptTotal
New6639672
Fresh31114
Picked055
Done044
Total66629695
Accuracy
100.0%
Counts
695 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.9%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
32.7%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
16.2%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
37.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 d (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) c)) a) (fma.f64 d (/.f64 d c) c)) a)))
40.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
37.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 d (*.f64 a a)) (/.f64 (neg.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 (*.f64 (*.f64 b b) d) d) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 c))) (neg.f64 c)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 c))))
53.5%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d))
57.5%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
56.4%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
57.5%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) d)) a b) d))
45.5%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) a) c))
57.5%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 (/.f64 c d) a) b) d))
24.0%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
57.0%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
41.3%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
21.1%
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
53.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
56.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a (/.f64 d (neg.f64 c))) (/.f64 #s(literal -1 binary64) d) (/.f64 b d)))
49.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
17.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
45.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
40.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
27.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
17.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
49.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) (/.f64 #s(literal -1 binary64) c)))
40.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
16.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b))
45.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
17.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
Compiler

Compiled 2 127 to 751 computations (64.7% saved)

regimes85.0ms (1.5%)

Memory
-27.8MiB live, 59.8MiB allocated
Counts
49 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 (/.f64 c d) a) b) d))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) d)) a b) d))
(/.f64 (+.f64 (*.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)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 a (/.f64 d (neg.f64 c))) (/.f64 #s(literal -1 binary64) d) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 b d)) c) a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 a c)) d) b) d))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 d (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) c)) a) (fma.f64 d (/.f64 d c) c)) a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (fma.f64 (fma.f64 (fma.f64 (/.f64 a d) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 d b))) c (/.f64 (neg.f64 a) (*.f64 b b))) c (/.f64 d b))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 d (*.f64 a a)) (/.f64 (neg.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 (*.f64 (*.f64 b b) d) d) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 c))) (neg.f64 c)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 c))))
(/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d b (*.f64 c a))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))) (fma.f64 (neg.f64 d) b (*.f64 c a)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
Calls

5 calls:

28.0ms
d
15.0ms
a
14.0ms
b
13.0ms
c
13.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
68.8%4a
71.9%3b
83.6%5c
87.4%5d
77.1%4(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes10.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
30 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 (+.f64 (*.f64 (/.f64 c d) a) b) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
84.6%5d
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes8.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
24 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
Calls

1 calls:

7.0ms
d
Results
AccuracySegmentsBranch
84.1%5d
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes10.0ms (0.2%)

Memory
-21.2MiB live, 16.4MiB allocated
Counts
23 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
84.1%5d
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes14.0ms (0.3%)

Memory
27.9MiB live, 27.9MiB allocated
Counts
22 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
Calls

2 calls:

7.0ms
c
6.0ms
d
Results
AccuracySegmentsBranch
73.9%3c
79.5%5d
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes28.0ms (0.5%)

Memory
-10.1MiB live, 26.8MiB allocated
Counts
21 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
Calls

4 calls:

6.0ms
b
6.0ms
d
6.0ms
c
6.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
56.8%3b
68.4%5c
55.5%4(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
73.9%5d
Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes6.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
15 → 5
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
Calls

1 calls:

5.0ms
d
Results
AccuracySegmentsBranch
72.8%5d
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes5.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) d)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* d d) (* c c))) (/.f64 d (*.f64 c c))) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (/.f64 b c) c)) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
Calls

1 calls:

4.0ms
d
Results
AccuracySegmentsBranch
68.2%3d
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes32.0ms (0.6%)

Memory
-36.4MiB live, 9.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

28.0ms
c
1.0ms
a
1.0ms
d
1.0ms
b
1.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
40.7%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
40.7%1b
40.7%1c
40.7%1a
40.7%1d
Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch58.0ms (1%)

Memory
33.0MiB live, 69.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
4.03282512648393e+84
7.594665387658488e+90
16.0ms
6.545695705149761e-80
3.6897100599468536e-77
10.0ms
-2.4414659191276088e-110
-4.45605426437711e-111
12.0ms
-8.26097386688207e+75
-2.1752368819446705e+74
Samples
32.0ms480×0valid
Compiler

Compiled 1 128 to 798 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 12.0ms (62.8% of total)
ival-add: 4.0ms (20.9% of total)
ival-div: 3.0ms (15.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch54.0ms (1%)

Memory
7.0MiB live, 79.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
4.03282512648393e+84
7.594665387658488e+90
14.0ms
-2.880606286023334e-108
-2.4414659191276088e-110
11.0ms
-0.00013248780174100608
-9.321651590143851e-7
12.0ms
-8.26097386688207e+75
-2.1752368819446705e+74
Samples
31.0ms416×0valid
Compiler

Compiled 1 486 to 992 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 14.0ms (68.7% of total)
ival-add: 3.0ms (14.7% of total)
ival-div: 2.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.5%)

Memory
-22.5MiB live, 22.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.03282512648393e+84
7.594665387658488e+90
24.0ms
-6.432763761444242e-105
-2.880606286023334e-108
1.0ms
-0.00013248780174100608
-9.321651590143851e-7
1.0ms
-8.26097386688207e+75
-2.1752368819446705e+74
Samples
19.0ms128×0valid
Compiler

Compiled 1 536 to 1 025 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59.3% of total)
ival-div: 1.0ms (19.8% of total)
ival-add: 1.0ms (19.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.03282512648393e+84
7.594665387658488e+90
1.0ms
-6.432763761444242e-105
-2.880606286023334e-108
1.0ms
-0.00013248780174100608
-9.321651590143851e-7
1.0ms
-8.26097386688207e+75
-2.1752368819446705e+74
Compiler

Compiled 1 536 to 1 025 computations (33.3% saved)

bsearch42.0ms (0.7%)

Memory
9.2MiB live, 47.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.5442444200385665e-27
2.4533140927174932e-25
13.0ms
-5.073919105547132e-113
-3.969415209975005e-117
12.0ms
-0.00013248780174100608
-9.321651590143851e-7
1.0ms
-8.26097386688207e+75
-2.1752368819446705e+74
Samples
24.0ms336×0valid
Compiler

Compiled 1 295 to 903 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 11.0ms (70.9% of total)
ival-add: 3.0ms (19.3% of total)
ival-div: 2.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.5442444200385665e-27
2.4533140927174932e-25
1.0ms
-5.073919105547132e-113
-3.969415209975005e-117
1.0ms
-0.00013248780174100608
-9.321651590143851e-7
1.0ms
-8.26097386688207e+75
-2.1752368819446705e+74
Compiler

Compiled 1 225 to 875 computations (28.6% saved)

bsearch42.0ms (0.7%)

Memory
-30.8MiB live, 6.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.5442444200385665e-27
2.4533140927174932e-25
1.0ms
-5.073919105547132e-113
-3.969415209975005e-117
39.0ms
-0.00013248780174100608
-9.321651590143851e-7
1.0ms
-8.26097386688207e+75
-2.1752368819446705e+74
Compiler

Compiled 1 225 to 875 computations (28.6% saved)

bsearch2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.5442444200385665e-27
2.4533140927174932e-25
1.0ms
-2.880606286023334e-108
-2.4414659191276088e-110
Compiler

Compiled 550 to 410 computations (25.5% saved)

simplify12.0ms (0.2%)

Memory
24.2MiB live, 24.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096958
1103958
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 d #s(literal -1349999999999999991218969577817821545972252034709678039678491066985586098176 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -7581518694861603/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 6883551971229495/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 229999999999999989561567209474093222253598162654819758731862536708280053452715642060800 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))))))
(if (<=.f64 d #s(literal -220000000000000011960167633358193585156273323314228479336334603550554324992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -1357680363825023/590295810358705651712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal -231369589076587/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 d #s(literal 4100000000000000301546972583436711987193631429940976578831118253359694524118055518208 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))))))
(if (<=.f64 d #s(literal -220000000000000011960167633358193585156273323314228479336334603550554324992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -1357680363825023/590295810358705651712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal -8263199609878107/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 d #s(literal 4100000000000000301546972583436711987193631429940976578831118253359694524118055518208 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))))))
(if (<=.f64 d #s(literal -220000000000000011960167633358193585156273323314228479336334603550554324992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -1357680363825023/590295810358705651712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal -8263199609878107/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 d #s(literal 4100000000000000301546972583436711987193631429940976578831118253359694524118055518208 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 d #s(literal -220000000000000011960167633358193585156273323314228479336334603550554324992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -2582544170319337/36893488147419103232 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal -1663601816472489/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 d #s(literal 8711228593176025/696898287454081973172991196020261297061888 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
(if (<=.f64 d #s(literal -220000000000000011960167633358193585156273323314228479336334603550554324992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -2582544170319337/36893488147419103232 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal -1663601816472489/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 d #s(literal 8711228593176025/696898287454081973172991196020261297061888 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -220000000000000011960167633358193585156273323314228479336334603550554324992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -2582544170319337/36893488147419103232 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal -1663601816472489/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) (if (<=.f64 d #s(literal 8711228593176025/696898287454081973172991196020261297061888 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))
(if (<=.f64 d #s(literal -231369589076587/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 8711228593176025/696898287454081973172991196020261297061888 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Outputs
(if (<=.f64 d #s(literal -1349999999999999991218969577817821545972252034709678039678491066985586098176 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -7581518694861603/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 6883551971229495/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 229999999999999989561567209474093222253598162654819758731862536708280053452715642060800 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 c c (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))))))
(if (<=.f64 d #s(literal -220000000000000011960167633358193585156273323314228479336334603550554324992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -1357680363825023/590295810358705651712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal -231369589076587/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 d #s(literal 4100000000000000301546972583436711987193631429940976578831118253359694524118055518208 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))))))
(if (<=.f64 d #s(literal -220000000000000011960167633358193585156273323314228479336334603550554324992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -1357680363825023/590295810358705651712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal -8263199609878107/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 d #s(literal 4100000000000000301546972583436711987193631429940976578831118253359694524118055518208 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))))))
(if (<=.f64 d #s(literal -220000000000000011960167633358193585156273323314228479336334603550554324992 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -1357680363825023/590295810358705651712 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal -8263199609878107/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 d #s(literal 4100000000000000301546972583436711987193631429940976578831118253359694524118055518208 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))))
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(if (or (<=.f64 d #s(literal -231369589076587/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) (not (<=.f64 d #s(literal 8711228593176025/696898287454081973172991196020261297061888 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

soundness721.0ms (12.9%)

Memory
4.4MiB live, 509.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
15832
243532
3513132
0881828
06253070
120922969
278152934
082632781
0186593
1618583
21920559
35924557
08528512
031162
046155
1163155
21029155
08478155
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 492 to 433 computations (71% saved)

preprocess111.0ms (2%)

Memory
-2.2MiB live, 81.5MiB allocated
Compiler

Compiled 2 018 to 258 computations (87.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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