Complex division, real part

Time bar (total: 7.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze45.0ms (0.6%)

Memory
-8.1MiB live, 30.4MiB 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)

sample891.0ms (12.8%)

Memory
51.2MiB live, 1 270.2MiB allocated
Samples
582.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-mult: 230.0ms (64.1% of total)
ival-add: 70.0ms (19.5% of total)
ival-div: 50.0ms (13.9% of total)
ival-true: 7.0ms (2% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain152.0ms (2.2%)

Memory
-5.4MiB live, 236.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
870-2(-1.3644618560590808e-248 -2.5548430430715e-183 5.36093578802661e-73 -3.242995483148356e-179)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
10-0-(+.f64 (*.f64 a c) (*.f64 b d))
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
00-0-d
00-0-(*.f64 d d)
00-0-(*.f64 c c)
00-0-(*.f64 a c)
00-0-c
00-0-b
00-0-(*.f64 b d)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/o430
(+.f64 (*.f64 a c) (*.f64 b d))overflow53
(*.f64 a c)overflow26
(*.f64 b d)overflow32
(+.f64 (*.f64 c c) (*.f64 d d))overflow107
(*.f64 c c)overflow58
(*.f64 d d)overflow66
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o270
(+.f64 (*.f64 c c) (*.f64 d d))overflow107
(*.f64 c c)overflow58
(*.f64 d d)overflow66
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n100
(+.f64 (*.f64 a c) (*.f64 b d))overflow53
(*.f64 a c)overflow26
(*.f64 b d)overflow32
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u20
(+.f64 (*.f64 c c) (*.f64 d d))underflow10
(*.f64 c c)underflow59
(*.f64 d d)underflow58
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/n20
(+.f64 (*.f64 a c) (*.f64 b d))underflow3
(*.f64 a c)underflow30
(*.f64 b d)underflow25
+.f64(+.f64 (*.f64 a c) (*.f64 b d))nan-rescue10
(*.f64 a c)overflow26
(*.f64 b d)overflow32
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u10
(+.f64 (*.f64 a c) (*.f64 b d))underflow3
(*.f64 a c)underflow30
(*.f64 b d)underflow25
(+.f64 (*.f64 c c) (*.f64 d d))underflow10
(*.f64 c c)underflow59
(*.f64 d d)underflow58
Confusion
Predicted +Predicted -
+852
-0169
Precision
1.0
Recall
0.9770114942528736
Confusion?
Predicted +Predicted MaybePredicted -
+8502
-00169
Precision?
1.0
Recall?
0.9770114942528736
Freqs
test
numberfreq
0171
184
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms512×0valid
Compiler

Compiled 199 to 59 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 13.0ms (60.6% of total)
ival-add: 4.0ms (18.6% of total)
ival-div: 3.0ms (14% of total)
ival-true: 1.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess340.0ms (4.9%)

Memory
-15.2MiB live, 23.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.5%
(/.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
3.1MiB live, 3.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

localize28.0ms (0.4%)

Memory
-1.9MiB live, 36.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 b d)
accuracy0
(*.f64 a c)
accuracy0.2617166858302058
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy20.61360149714976
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
19.0ms256×0valid
Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (57.9% of total)
ival-add: 2.0ms (19.3% of total)
ival-div: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
20.0MiB live, 20.0MiB allocated
Counts
5 → 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)
(*.f64 b d)
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) (* b d))
2.0ms
b
@-inf
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
1.0ms
a
@-inf
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
1.0ms
a
@0
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))
1.0ms
c
@inf
((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d))

simplify127.0ms (1.8%)

Memory
-29.4MiB live, 90.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186593
1618583
21892559
35765557
08305512
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)

rewrite184.0ms (2.6%)

Memory
35.3MiB live, 151.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
01835
15835
243535
3507335
0876031
Stop Event
iter limit
node limit
iter limit
Counts
5 → 346
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)
(*.f64 b d)
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))))
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(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)))
(*.f64 (exp.f64 (log.f64 b)) d)
(*.f64 d (exp.f64 (log.f64 b)))
(*.f64 d b)
(*.f64 b d)
(pow.f64 (*.f64 d b) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 d b)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 d b)))

eval38.0ms (0.5%)

Memory
-22.9MiB live, 53.5MiB allocated
Compiler

Compiled 11 322 to 1 078 computations (90.5% saved)

prune12.0ms (0.2%)

Memory
27.2MiB live, 27.2MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New35613369
Fresh000
Picked101
Done000
Total35713370
Accuracy
99.9%
Counts
370 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.7%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
38.4%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
22.9%
(/.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))))
67.2%
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
48.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
53.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
52.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
54.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
45.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c))
45.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
41.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
42.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
43.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
Compiler

Compiled 602 to 388 computations (35.5% saved)

simplify204.0ms (2.9%)

Memory
-1.8MiB live, 37.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 c c)
cost-diff0
(/.f64 d (*.f64 c c))
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
cost-diff320
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
cost-diff0
(*.f64 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
(fma.f64 d b (*.f64 c a))
cost-diff0
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))
cost-diff832
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
cost-diff6080
(*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033253
051243
180241
2152238
3376236
4707236
51521236
63047236
74496236
85977236
96395236
106510236
116644236
126712236
136880234
147064234
157156234
167166234
177166234
187166234
197198234
07198232
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
#s(literal -1 binary64)
(*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c))))
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))
(fma.f64 d b (*.f64 c a))
d
b
(*.f64 c a)
c
a
(neg.f64 (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
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)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(/.f64 d (*.f64 c c))
d
(*.f64 c c)
c
b
(/.f64 a c)
a
Outputs
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
#s(literal -1 binary64)
(*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 a c (*.f64 b d)))
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))
(pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64))
(fma.f64 d b (*.f64 c a))
(fma.f64 a c (*.f64 b d))
d
b
(*.f64 c a)
(*.f64 a c)
c
a
(neg.f64 (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 a c)
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 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(+.f64 (*.f64 a c) (*.f64 b d))
(fma.f64 a c (*.f64 b d))
(*.f64 a c)
a
c
(*.f64 b d)
b
d
#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 d (*.f64 c c)) b (/.f64 a c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(/.f64 d (*.f64 c c))
d
(*.f64 c c)
c
b
(/.f64 a c)
a

localize325.0ms (4.7%)

Memory
-16.7MiB live, 66.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 c c)
accuracy6.111586997725994
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
accuracy7.262404445525418
(/.f64 d (*.f64 c c))
accuracy29.39923303557833
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
accuracy0
(*.f64 a c)
accuracy0.2617166858302058
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy20.61360149714976
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy29.10670904055486
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy0
(*.f64 c c)
accuracy7.396239409397898
(/.f64 b (fma.f64 d d (*.f64 c c)))
accuracy10.867924880761054
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
accuracy24.518954556397407
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
accuracy0
(/.f64 a c)
accuracy37.385441260463146
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy0.00390625
(fma.f64 d b (*.f64 c a))
accuracy0.3855264536771737
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
accuracy0.7805933658624076
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))
accuracy20.173872830394192
(*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c))))
Samples
306.0ms256×0valid
Compiler

Compiled 486 to 61 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 26.0ms (58.1% of total)
ival-div: 8.0ms (17.9% of total)
ival-add: 5.0ms (11.2% of total)
ival-pow: 4.0ms (8.9% of total)
ival-neg: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series79.0ms (1.1%)

Memory
5.0MiB live, 43.0MiB allocated
Counts
19 → 158
Calls
Call 1
Inputs
(*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))
(fma.f64 d b (*.f64 c a))
#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 a c) (*.f64 b d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(*.f64 a c)
(*.f64 b d)
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(/.f64 d (*.f64 c c))
(*.f64 c c)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
Outputs
(* -1 (/ (+ (pow c 2) (pow d 2)) (* b d)))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d))) (* a (+ (* -1 (/ (* 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))))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d))) (* a (+ (* a (+ (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))) (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ 1 (* b d))
(+ (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d)))
(+ (* a (- (/ (* a (pow c 2)) (* (pow b 3) (pow d 3))) (/ c (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow c 2) (* (pow b 3) (pow d 3)))))) (/ c (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))
(* b d)
(+ (* a c) (* b d))
(/ a c)
(* a c)
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a c)))
(/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)
(/ (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a)
(/ (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (+ (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))) (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))))) 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 c))
(/ (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)) a)
(/ (- (+ (/ 1 c) (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (pow c 3)))) (/ (* b d) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (pow c 3)))) (/ (* b d) (* a (pow c 2))))) a)
(* a (+ c (/ (* b d) a)))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* -1 (/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a))
(* -1 (/ (+ c (+ (* -1 (/ (+ (* -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)) (/ (pow d 2) c))) a))
(* -1 (/ (+ c (+ (* -1 (/ (+ (* -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)) (/ (pow d 2) c))) a))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (/ (- (/ (* b d) (* a (pow c 2))) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* a (pow c 3))) (/ (* b d) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* a (pow c 4))) (/ (* (pow b 2) (pow d 2)) (pow c 3))) a)) (/ (* b d) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a c))) (* b (+ (* -1 (/ (* 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))))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a c))) (* b (+ (* b (+ (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))) (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))))
(+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) (pow c 3))) (/ d (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 3)) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow d 2) (* (pow a 3) (pow c 3)))))) (/ d (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(/ b (+ (pow c 2) (pow d 2)))
(/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)
(/ (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b)
(/ (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (+ (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))) (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))))) b)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)) b)
(/ (- (+ (/ 1 d) (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))) (/ (* a c) (* b (pow d 2)))) b)
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 4)))) (/ 1 d)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))) (/ (* a c) (* b (pow d 2))))) b)
(* b (+ d (/ (* a c) b)))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* -1 (/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b))
(* -1 (/ (+ d (+ (* -1 (/ (+ (* -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)) (/ (pow c 2) d))) b))
(* -1 (/ (+ d (+ (* -1 (/ (+ (* -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)) (/ (pow c 2) d))) b))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (/ (- (/ (* a c) (* b (pow d 2))) (/ 1 d)) b))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* b (pow d 3))) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 4))) (/ (* (pow a 2) (pow c 2)) (pow d 3))) b)) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (/ d b))
(+ (* -1 (/ d b)) (/ (* a c) (pow b 2)))
(+ (* -1 (/ d b)) (* c (+ (* -1 (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (/ a (pow b 2)))))
(+ (* -1 (/ d b)) (* c (+ (* c (+ (* -1 (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d)))) (/ a (pow b 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 (- (/ (* (pow a 2) c) (* (pow b 3) (pow d 3))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow a 2) (* (pow b 3) (pow d 3)))))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* 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))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ d (pow c 2))
(pow c 2)
(* -1 (/ c a))
(* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a)))
(* c (- (+ (* -1 (/ (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (pow c 2))) (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(* c (- (+ (* -1 (/ (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (pow c 2))) (+ (/ (* b d) (* (pow a 2) c)) (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3))))) (/ 1 a)))
(/ (+ 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 (/ (* b d) (* (pow a 2) c))) (/ 1 a)) c)
(/ (- (+ (/ 1 a) (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))) c)
(* c (+ a (/ (* b d) c)))
(/ (+ (* -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))))
(* -1 (* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a))))
(* -1 (* c (+ (* -1 (/ (- (+ (* -1 (/ (pow d 2) (* a c))) (/ (* b d) (pow a 2))) (/ (* (pow b 2) (pow d 2)) (* (pow a 3) c))) c)) (/ 1 a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(* -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 (/ (- (/ (* b d) (* (pow a 2) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* (pow a 3) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(+ (* -1 (/ c a)) (/ (* b d) (pow a 2)))
(+ (* -1 (/ c a)) (* d (+ (* -1 (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (/ b (pow a 2)))))
(+ (* -1 (/ c a)) (* d (+ (* d (+ (* -1 (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c)))) (/ b (pow a 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 (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* 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)))
(* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)))
(* d (- (+ (* -1 (/ (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (pow d 2))) (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (* -1 (/ (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (pow d 2))) (+ (/ (* a c) (* (pow b 2) d)) (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3))))) (/ 1 b)))
(/ (+ 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 (/ (* a c) (* (pow b 2) d))) (/ 1 b)) d)
(/ (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))) d)
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))) d)
(* d (+ b (/ (* a c) 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 (+ (/ a (* c d)) (/ b (pow c 2))))
(* -1 (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))))
(* -1 (* d (+ (* -1 (/ (- (+ (* -1 (/ (pow c 2) (* b d))) (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d))) d)) (/ 1 b))))
(* -1 (* d (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -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 (/ (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)) d))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) 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 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
Calls

12 calls:

TimeVariablePointExpression
40.0ms
d
@0
((* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (pow (+ (* d b) (* c a)) -1) (+ (* d b) (* c a)) (/ (+ (* 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)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (* c c) (+ (* c c) (* d d)))
6.0ms
b
@-inf
((* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (pow (+ (* d b) (* c a)) -1) (+ (* d b) (* c a)) (/ (+ (* 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)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (* c c) (+ (* c c) (* d d)))
4.0ms
c
@0
((* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (pow (+ (* d b) (* c a)) -1) (+ (* d b) (* c a)) (/ (+ (* 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)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (* c c) (+ (* c c) (* d d)))
4.0ms
b
@inf
((* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (pow (+ (* d b) (* c a)) -1) (+ (* d b) (* c a)) (/ (+ (* 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)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (* c c) (+ (* c c) (* d d)))
3.0ms
d
@inf
((* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (pow (+ (* d b) (* c a)) -1) (+ (* d b) (* c a)) (/ (+ (* 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)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (* c c) (+ (* c c) (* d d)))

simplify185.0ms (2.7%)

Memory
16.8MiB live, 163.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08434296
128644143
082613994
Stop Event
iter limit
node limit
Counts
158 → 158
Calls
Call 1
Inputs
(* -1 (/ (+ (pow c 2) (pow d 2)) (* b d)))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d))) (* a (+ (* -1 (/ (* 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))))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d))) (* a (+ (* a (+ (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))) (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ 1 (* b d))
(+ (* -1 (/ (* a c) (* (pow b 2) (pow d 2)))) (/ 1 (* b d)))
(+ (* a (- (/ (* a (pow c 2)) (* (pow b 3) (pow d 3))) (/ c (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow c 2) (* (pow b 3) (pow d 3)))))) (/ c (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))
(* b d)
(+ (* a c) (* b d))
(/ a c)
(* a c)
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a c)))
(/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)
(/ (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a)
(/ (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (+ (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))) (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))))) 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 c))
(/ (+ (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)) a)
(/ (- (+ (/ 1 c) (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (pow c 3)))) (/ (* b d) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 2) (pow c 3)))) (/ (* b d) (* a (pow c 2))))) a)
(* a (+ c (/ (* b d) a)))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* -1 (/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a))
(* -1 (/ (+ c (+ (* -1 (/ (+ (* -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)) (/ (pow d 2) c))) a))
(* -1 (/ (+ c (+ (* -1 (/ (+ (* -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)) (/ (pow d 2) c))) a))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (/ (- (/ (* b d) (* a (pow c 2))) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* a (pow c 3))) (/ (* b d) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* a (pow c 4))) (/ (* (pow b 2) (pow d 2)) (pow c 3))) a)) (/ (* b d) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a c))) (* b (+ (* -1 (/ (* 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))))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a c))) (* b (+ (* b (+ (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))) (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))))
(+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(+ (* b (- (/ (* b (pow d 2)) (* (pow a 3) (pow c 3))) (/ d (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 3)) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow d 2) (* (pow a 3) (pow c 3)))))) (/ d (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(/ b (+ (pow c 2) (pow d 2)))
(/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)
(/ (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b)
(/ (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (+ (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))) (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))))) b)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)) b)
(/ (- (+ (/ 1 d) (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))) (/ (* a c) (* b (pow d 2)))) b)
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 4)))) (/ 1 d)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) (pow d 3)))) (/ (* a c) (* b (pow d 2))))) b)
(* b (+ d (/ (* a c) b)))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* -1 (/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b))
(* -1 (/ (+ d (+ (* -1 (/ (+ (* -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)) (/ (pow c 2) d))) b))
(* -1 (/ (+ d (+ (* -1 (/ (+ (* -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)) (/ (pow c 2) d))) b))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (/ (- (/ (* a c) (* b (pow d 2))) (/ 1 d)) b))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* b (pow d 3))) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 4))) (/ (* (pow a 2) (pow c 2)) (pow d 3))) b)) (/ (* a c) (pow d 2))) b)) (/ 1 d)) b))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (/ d b))
(+ (* -1 (/ d b)) (/ (* a c) (pow b 2)))
(+ (* -1 (/ d b)) (* c (+ (* -1 (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (/ a (pow b 2)))))
(+ (* -1 (/ d b)) (* c (+ (* c (+ (* -1 (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d)))) (/ a (pow b 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 (- (/ (* (pow a 2) c) (* (pow b 3) (pow d 3))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* b d)))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 4)))) (* -1 (/ (pow a 2) (* (pow b 3) (pow d 3)))))) (/ a (* (pow b 2) (pow d 2))))) (/ 1 (* 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))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ d (pow c 2))
(pow c 2)
(* -1 (/ c a))
(* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a)))
(* c (- (+ (* -1 (/ (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (pow c 2))) (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(* c (- (+ (* -1 (/ (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (pow c 2))) (+ (/ (* b d) (* (pow a 2) c)) (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3))))) (/ 1 a)))
(/ (+ 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 (/ (* b d) (* (pow a 2) c))) (/ 1 a)) c)
(/ (- (+ (/ 1 a) (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 3)) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))) c)
(* c (+ a (/ (* b d) c)))
(/ (+ (* -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))))
(* -1 (* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a))))
(* -1 (* c (+ (* -1 (/ (- (+ (* -1 (/ (pow d 2) (* a c))) (/ (* b d) (pow a 2))) (/ (* (pow b 2) (pow d 2)) (* (pow a 3) c))) c)) (/ 1 a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3)))) (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(* -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 (/ (- (/ (* b d) (* (pow a 2) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow b 2) (pow d 2)) (* (pow a 3) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 3)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(+ (* -1 (/ c a)) (/ (* b d) (pow a 2)))
(+ (* -1 (/ c a)) (* d (+ (* -1 (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (/ b (pow a 2)))))
(+ (* -1 (/ c a)) (* d (+ (* d (+ (* -1 (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c)))) (/ b (pow a 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 (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* 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)))
(* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)))
(* d (- (+ (* -1 (/ (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (pow d 2))) (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (* -1 (/ (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (pow d 2))) (+ (/ (* a c) (* (pow b 2) d)) (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3))))) (/ 1 b)))
(/ (+ 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 (/ (* a c) (* (pow b 2) d))) (/ 1 b)) d)
(/ (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))) d)
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))) d)
(* d (+ b (/ (* a c) 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 (+ (/ a (* c d)) (/ b (pow c 2))))
(* -1 (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))))
(* -1 (* d (+ (* -1 (/ (- (+ (* -1 (/ (pow c 2) (* b d))) (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d))) d)) (/ 1 b))))
(* -1 (* d (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -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 (/ (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)) d))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) 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 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
Outputs
(* -1 (/ (+ (pow c 2) (pow d 2)) (* b d)))
(/.f64 (/.f64 (fma.f64 c c (*.f64 d d)) b) (neg.f64 d))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2))))
(fma.f64 (*.f64 (/.f64 c b) (/.f64 (fma.f64 c c (*.f64 d d)) b)) (/.f64 a (*.f64 d d)) (/.f64 (/.f64 (fma.f64 c c (*.f64 d d)) b) (neg.f64 d)))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d))) (* a (+ (* -1 (/ (* 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))))))
(fma.f64 (fma.f64 (neg.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) c) c) (pow.f64 d #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) c) (*.f64 (*.f64 (*.f64 b b) d) d))) a (/.f64 (/.f64 (fma.f64 c c (*.f64 d d)) b) (neg.f64 d)))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* b d))) (* a (+ (* a (+ (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))) (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 d #s(literal 4 binary64))) (/.f64 (fma.f64 c c (*.f64 d d)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 c) c) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))) a (/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) c) (*.f64 (*.f64 (*.f64 b b) d) d))) a (/.f64 (/.f64 (fma.f64 c c (*.f64 d d)) b) (neg.f64 d)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 d (fma.f64 c c (*.f64 d d)))))
(/ 1 (* b d))
(/.f64 #s(literal 1 binary64) (*.f64 b d))
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(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (*.f64 (/.f64 a d) (/.f64 (/.f64 c (*.f64 b b)) d)))
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(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (-.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 a (/.f64 c d) b)) (*.f64 (/.f64 b d) (/.f64 (*.f64 c c) d))) d)
(/ (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)) d)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 (*.f64 b b) d)) (/.f64 #s(literal 1 binary64) b)) d)
(/ (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))) d)
(/.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 d d)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (neg.f64 a) (/.f64 c (*.f64 (*.f64 b b) d)) (/.f64 #s(literal 1 binary64) b))) d)
(/ (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))) d)
(/.f64 (fma.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 d #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) b) (fma.f64 (/.f64 a d) (/.f64 c (*.f64 b b)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 (neg.f64 d) d))))) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c c) d) b) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (+.f64 b (*.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 c d) (/.f64 c 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)))) d)
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) b) (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 b d) (/.f64 (*.f64 c c) d)))) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c c) d) b) (*.f64 d d))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/.f64 (+.f64 b (*.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 c d) (/.f64 c d))))) (*.f64 d d))
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) b) (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 b d) (/.f64 (*.f64 c c) d)))) (*.f64 d 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))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d)
(* -1 (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 (*.f64 b b) d)) (/.f64 #s(literal 1 binary64) b)) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ (- (+ (* -1 (/ (pow c 2) (* b d))) (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d))) d)) (/ 1 b))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 (/.f64 c b) (/.f64 a b) (-.f64 (/.f64 (*.f64 (neg.f64 c) c) (*.f64 b d)) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (*.f64 (pow.f64 b #s(literal 3 binary64)) d)))) d)) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 (/.f64 c b) (/.f64 a b) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 c) c) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 3 binary64)))) (*.f64 a c)) (*.f64 b d)) (-.f64 (/.f64 (*.f64 (neg.f64 c) c) b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 d))) d)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 a c)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 (*.f64 c b) c)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)) d))
(/.f64 (fma.f64 (/.f64 a d) (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) b)) (neg.f64 d))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a a) d) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (neg.f64 a) (/.f64 c (*.f64 b b)))) d) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b)) (neg.f64 d))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)) d))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 (pow.f64 b #s(literal 4 binary64)) d)) #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 3 binary64)))) d) (*.f64 (/.f64 c b) (/.f64 a b))) (neg.f64 d)) (/.f64 #s(literal 1 binary64) b)) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (neg.f64 b))) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 (/.f64 a c) d)) (neg.f64 d))

rewrite352.0ms (5.1%)

Memory
-169.5MiB live, 199.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033207
051197
1199190
21436190
08389190
Stop Event
iter limit
node limit
iter limit
Counts
19 → 742
Calls
Call 1
Inputs
(*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))
(fma.f64 d b (*.f64 c a))
#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 a c) (*.f64 b d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(*.f64 a c)
(*.f64 b d)
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(/.f64 d (*.f64 c c))
(*.f64 c c)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
Outputs
(*.f64 (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) (/.f64 (fma.f64 d d (*.f64 c c)) (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (/.f64 (fma.f64 d d (*.f64 c c)) (pow.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 (fma.f64 d d (*.f64 c c)) (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 (fma.f64 d d (*.f64 c c)) (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (pow.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 d d (*.f64 c c)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64))) (fma.f64 d d (*.f64 c c)))
(*.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1/2 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c))))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a c (*.f64 b d))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a c (*.f64 b d))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a c (*.f64 b d))) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a c (*.f64 b d))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a c (*.f64 b d)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 d) d) (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 c) c) (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 d) d) (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 d) d) (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 c) c) (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 c) c) (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 (neg.f64 d) d) (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 c) c) (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)) (*.f64 (neg.f64 d) d)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)) (*.f64 (neg.f64 c) c)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)) (*.f64 (neg.f64 d) d)) (*.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)) (*.f64 (neg.f64 d) d)) (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)) (*.f64 (neg.f64 c) c)) (*.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)) (*.f64 (neg.f64 c) c))) (*.f64 (*.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)) (*.f64 (neg.f64 d) d)) (*.f64 (pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)) (*.f64 (neg.f64 c) c))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c))))) (neg.f64 (fma.f64 a c (*.f64 b d))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64))) (neg.f64 (fma.f64 a c (*.f64 b d))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (fma.f64 a c (*.f64 b d)))
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(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 c) c) (*.f64 (neg.f64 (/.f64 c a)) (neg.f64 (*.f64 b d)))) (*.f64 (neg.f64 (/.f64 c a)) (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 c b) (/.f64 c d)) (*.f64 (neg.f64 (/.f64 c a)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 c a)) (*.f64 (/.f64 c b) (/.f64 c d))))
(/.f64 (fma.f64 (neg.f64 c) c (*.f64 (neg.f64 (/.f64 c a)) (*.f64 b d))) (*.f64 (neg.f64 (/.f64 c a)) (*.f64 c c)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 c c) d) (*.f64 (neg.f64 (/.f64 c a)) b)) (*.f64 (neg.f64 (/.f64 c a)) (/.f64 (*.f64 c c) d)))
(/.f64 (fma.f64 a c (*.f64 c (/.f64 (*.f64 b d) c))) (*.f64 c c))
(/.f64 (fma.f64 a c (*.f64 c (*.f64 (/.f64 d c) b))) (*.f64 c c))
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) d) (*.f64 c (*.f64 #s(literal 1 binary64) b))) (*.f64 c (/.f64 (*.f64 c c) d)))
(/.f64 (fma.f64 a c (*.f64 c (*.f64 b (/.f64 d c)))) (*.f64 c c))
(/.f64 (fma.f64 a (*.f64 (neg.f64 c) c) (*.f64 c (*.f64 b (neg.f64 d)))) (*.f64 c (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) d) (*.f64 c (*.f64 b #s(literal 1 binary64)))) (*.f64 c (/.f64 (*.f64 c c) d)))
(/.f64 (fma.f64 a (*.f64 (neg.f64 c) c) (*.f64 c (*.f64 (neg.f64 d) b))) (*.f64 c (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 a (*.f64 (neg.f64 c) c) (*.f64 c (neg.f64 (*.f64 b d)))) (*.f64 c (*.f64 (neg.f64 c) c)))
(/.f64 (fma.f64 a (*.f64 (/.f64 c b) (/.f64 c d)) (*.f64 c #s(literal 1 binary64))) (*.f64 c (*.f64 (/.f64 c b) (/.f64 c d))))
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) d) (*.f64 c b)) (*.f64 c (/.f64 (*.f64 c c) d)))
(/.f64 (-.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64))) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (pow.f64 (/.f64 a c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 b d) a) (pow.f64 c #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 a c) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 b d) (neg.f64 c) (*.f64 (*.f64 c c) (neg.f64 a))) (pow.f64 (neg.f64 c) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 b d) (/.f64 c a) (*.f64 (*.f64 c c) #s(literal 1 binary64))) (*.f64 (*.f64 c c) (/.f64 c a)))
(/.f64 (fma.f64 (*.f64 b d) c (*.f64 (*.f64 c c) a)) (pow.f64 c #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 a) (*.f64 c c) (*.f64 (neg.f64 c) (*.f64 b d))) (pow.f64 (neg.f64 c) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 c c) (*.f64 (/.f64 c a) (*.f64 b d))) (*.f64 (/.f64 c a) (*.f64 c c)))
(/.f64 (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b d))) (pow.f64 c #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (pow.f64 (/.f64 a c) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c))
(/.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 b d) a) (pow.f64 c #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64))) (fma.f64 (/.f64 a c) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c) (-.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 c) #s(literal 3 binary64)) (fma.f64 (*.f64 b d) (neg.f64 c) (*.f64 (*.f64 c c) (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 c c) (/.f64 c a)) (fma.f64 (*.f64 b d) (/.f64 c a) (*.f64 (*.f64 c c) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (*.f64 b d) c (*.f64 (*.f64 c c) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (neg.f64 c) #s(literal 3 binary64)) (fma.f64 (neg.f64 a) (*.f64 c c) (*.f64 (neg.f64 c) (*.f64 b d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c a) (*.f64 c c)) (fma.f64 #s(literal 1 binary64) (*.f64 c c) (*.f64 (/.f64 c a) (*.f64 b d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 a (*.f64 c c) (*.f64 c (*.f64 b d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 b d) a) (pow.f64 c #s(literal 3 binary64))))) (+.f64 (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))))
(fma.f64 (/.f64 (neg.f64 d) #s(literal -1 binary64)) (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 (/.f64 b (neg.f64 c)) (/.f64 (neg.f64 d) c) (/.f64 a c))
(fma.f64 (/.f64 (neg.f64 d) c) (/.f64 b (neg.f64 c)) (/.f64 a c))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) (*.f64 c c)) (/.f64 a c))
(fma.f64 (/.f64 b (*.f64 c c)) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal -1 binary64))) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 b (/.f64 c d)) (/.f64 a c))
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 d (*.f64 c c)) b))
(fma.f64 (pow.f64 c #s(literal -1 binary64)) a (*.f64 (/.f64 d (*.f64 c c)) b))
(fma.f64 (pow.f64 c #s(literal -2 binary64)) (/.f64 b (pow.f64 d #s(literal -1 binary64))) (/.f64 a c))
(fma.f64 (neg.f64 a) (pow.f64 (neg.f64 c) #s(literal -1 binary64)) (*.f64 (/.f64 d (*.f64 c c)) b))
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (*.f64 (/.f64 d (*.f64 c c)) b))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(fma.f64 (*.f64 b d) (pow.f64 c #s(literal -2 binary64)) (/.f64 a c))
(fma.f64 a (pow.f64 c #s(literal -1 binary64)) (*.f64 (/.f64 d (*.f64 c c)) b))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 d (*.f64 (pow.f64 c #s(literal -2 binary64)) b) (/.f64 a c))
(-.f64 (/.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c)) (/.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c)))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d (*.f64 c c)) b) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c)) (/.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c)))
(+.f64 (*.f64 (/.f64 d (*.f64 c c)) b) (/.f64 a c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d (*.f64 c c)) b))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 d (neg.f64 c)))
(*.f64 (/.f64 d c) (pow.f64 c #s(literal -1 binary64)))
(*.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 d c))
(*.f64 (pow.f64 c #s(literal -2 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 c #s(literal -2 binary64)) d)
(*.f64 (neg.f64 d) (pow.f64 (*.f64 (neg.f64 c) c) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c c)))
(*.f64 d (pow.f64 c #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 c c) d) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 d c))) (neg.f64 (neg.f64 c)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 d))) (neg.f64 (neg.f64 (*.f64 (neg.f64 c) c))))
(/.f64 (neg.f64 (*.f64 d #s(literal 1 binary64))) (*.f64 (neg.f64 c) c))
(/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 c c))
(/.f64 (neg.f64 (/.f64 d c)) (neg.f64 c))
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (*.f64 (neg.f64 c) c)))
(/.f64 (/.f64 d c) c)
(/.f64 (neg.f64 d) (*.f64 (neg.f64 c) c))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 c c) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 c c) d)))
(/.f64 d (*.f64 c c))
(neg.f64 (/.f64 (neg.f64 d) (*.f64 c c)))
(neg.f64 (/.f64 d (*.f64 (neg.f64 c) c)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c) c)) (/.f64 d (*.f64 (neg.f64 c) c)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c c) d)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (neg.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)))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))

eval193.0ms (2.8%)

Memory
-25.4MiB live, 180.0MiB allocated
Compiler

Compiled 34 108 to 3 682 computations (89.2% saved)

prune23.0ms (0.3%)

Memory
11.4MiB live, 51.1MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New93612948
Fresh538
Picked325
Done000
Total94417961
Accuracy
100.0%
Counts
961 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.4%
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
46.4%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (*.f64 (/.f64 b c) (/.f64 b (pow.f64 a #s(literal 3 binary64))))) (neg.f64 d) (/.f64 b (*.f64 a a))) d (/.f64 (neg.f64 c) a))))
44.8%
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (/.f64 (neg.f64 d) b)))
53.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 b (/.f64 c d)) (/.f64 a c)))
48.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
45.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c))
45.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
41.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
41.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
31.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
43.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
21.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
25.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
53.6%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
54.0%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
55.6%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
46.1%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
Compiler

Compiled 923 to 587 computations (36.4% saved)

simplify222.0ms (3.2%)

Memory
19.1MiB live, 57.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 d c)
cost-diff0
(fma.f64 b (/.f64 d c) a)
cost-diff0
(/.f64 (fma.f64 b (/.f64 d c) a) c)
cost-diff0
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
cost-diff0
(/.f64 b c)
cost-diff0
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c)))
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
cost-diff384
(*.f64 (/.f64 b c) (/.f64 d c))
cost-diff0
(/.f64 c a)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 c a))
cost-diff0
(/.f64 b d)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
cost-diff0
(/.f64 c d)
cost-diff0
(fma.f64 a (/.f64 c d) b)
cost-diff0
(/.f64 (fma.f64 a (/.f64 c d) b) d)
cost-diff0
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042226
055226
190222
2158216
3387212
4726212
51552212
63214210
74709206
85683206
95934206
105964206
115972206
125992206
136084206
146418206
156814206
167088206
177114206
187116206
197120206
207140206
217396206
08200196
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
a
(/.f64 c d)
c
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
#s(literal 1 binary64)
(/.f64 c a)
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c)))
(*.f64 (/.f64 b c) (/.f64 d c))
(/.f64 b c)
b
c
(/.f64 d c)
d
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d c) a)
b
(/.f64 d c)
d
c
a
Outputs
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 a (/.f64 c d) b)
(fma.f64 (/.f64 c d) a b)
a
(/.f64 c d)
c
d
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
b
d
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 a c)
#s(literal 1 binary64)
(/.f64 c a)
c
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 d (*.f64 c c)) b)))
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c)))
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 d (*.f64 c c)) b))
(*.f64 (/.f64 b c) (/.f64 d c))
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 b c)
b
c
(/.f64 d c)
d
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 b (/.f64 d c) a)
(fma.f64 (/.f64 d c) b a)
b
(/.f64 d c)
d
c
a

localize223.0ms (3.2%)

Memory
-21.5MiB live, 61.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 d c)
accuracy0.5417898341140766
(/.f64 (fma.f64 b (/.f64 d c) a) c)
accuracy2.374833555108895
(fma.f64 b (/.f64 d c) a)
accuracy29.39923303557833
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
accuracy0
(/.f64 b c)
accuracy3.421959112549096
(*.f64 (/.f64 b c) (/.f64 d c))
accuracy24.918359989033654
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c)))
accuracy29.39923303557833
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
accuracy0
(/.f64 c a)
accuracy0.3038377204975193
(/.f64 #s(literal 1 binary64) (/.f64 c a))
accuracy37.385441260463146
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
accuracy0
(/.f64 b d)
accuracy35.19770842495603
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
accuracy0
(/.f64 c d)
accuracy0.7635105917092956
(/.f64 (fma.f64 a (/.f64 c d) b) d)
accuracy1.959822840996388
(fma.f64 a (/.f64 c d) b)
accuracy28.171747660696678
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Samples
129.0ms256×0valid
Compiler

Compiled 402 to 82 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 19.0ms (39.2% of total)
ival-mult: 16.0ms (33% of total)
ival-add: 7.0ms (14.4% of total)
ival-pow: 4.0ms (8.2% of total)
ival-neg: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.6%)

Memory
9.9MiB live, 46.1MiB allocated
Counts
17 → 67
Calls
Call 1
Inputs
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
(/.f64 c d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
(/.f64 c a)
(*.f64 (/.f64 b c) (/.f64 d c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c)))
(/.f64 b c)
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d c) a)
(/.f64 d 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)
(+ (/ b d) (/ (* a c) (pow d 2)))
b
(+ b (/ (* a c) d))
(/ a c)
(/ c a)
(/ (* 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) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* 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 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ b c)
(* 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 (+ (/ 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 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(+ (* 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)
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) c)
(/ 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)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a d) (/ b 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)))))
(+ (* 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)
(/ (+ 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 (+ (/ 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 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
Calls

12 calls:

TimeVariablePointExpression
12.0ms
c
@0
((/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (* (/ b c) (/ d c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ b c) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c))
3.0ms
c
@-inf
((/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (* (/ b c) (/ d c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ b c) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c))
3.0ms
b
@-inf
((/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (* (/ b c) (/ d c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ b c) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c))
3.0ms
d
@-inf
((/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (* (/ b c) (/ d c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ b c) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c))
3.0ms
b
@inf
((/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (* (/ b c) (/ d c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ b c) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* b (/ d c)) a) c) (+ (* b (/ d c)) a) (/ d c))

simplify204.0ms (2.9%)

Memory
-12.8MiB live, 108.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0260881
1871871
22845845
37739845
08721798
Stop Event
iter limit
node limit
Counts
67 → 65
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))
(/ a c)
(/ c a)
(/ (* 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) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* 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 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ b c)
(* 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 (+ (/ 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 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(+ (* 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)
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) c)
(/ 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)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a d) (/ b 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)))))
(+ (* 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)
(/ (+ 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 (+ (/ 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 (/ 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)
(+ (/ 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)
(/ a c)
(/.f64 a c)
(/ c a)
(/.f64 c a)
(/ (* b d) (pow c 2))
(*.f64 (/.f64 (/.f64 b c) c) d)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 (/.f64 (/.f64 b c) c) d (/.f64 a c))
(/ (* b d) c)
(/.f64 (*.f64 b d) c)
(+ a (/ (* b d) c))
(fma.f64 (/.f64 d c) b 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) (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 (+ (/ 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) c) a) 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 (/ 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 (/ (* 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) c) a)))
(/ b c)
(/.f64 b c)
(* 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 (+ (/ 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 (/ (* 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 (/ 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)
(+ (* 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)
(/ (+ (* 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)
(/ (+ 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 a (/.f64 (fma.f64 (neg.f64 d) b (/.f64 (*.f64 (*.f64 a d) d) c)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 (/.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)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 (+.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 d d))) c)
(* c (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) 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 a (/.f64 (fma.f64 (neg.f64 d) b (/.f64 (*.f64 (*.f64 a d) d) c)) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.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 c) d) (/.f64 a (*.f64 d d))) c)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) 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)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (+.f64 (/.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)
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d)
(* d (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.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 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)

rewrite185.0ms (2.7%)

Memory
13.1MiB live, 207.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042207
055203
1257193
22173193
08664181
Stop Event
iter limit
node limit
iter limit
Counts
17 → 465
Calls
Call 1
Inputs
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 a (/.f64 c d) b)
(/.f64 c d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
(/.f64 b d)
(/.f64 #s(literal 1 binary64) (/.f64 c a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
(/.f64 c a)
(*.f64 (/.f64 b c) (/.f64 d c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c)))
(/.f64 b c)
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d c) a)
(/.f64 d c)
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) 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 (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 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 c d) a b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (fma.f64 (/.f64 c d) a b))
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (pow.f64 (neg.f64 d) #s(literal -1 binary64)))
(*.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 (fma.f64 (/.f64 c d) a b) (pow.f64 d #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal 1 binary64)) #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 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)) 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)) 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)) 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 (neg.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b)))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (fma.f64 (/.f64 c d) a b))))
(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)))
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 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)))
(pow.f64 (/.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (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)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (fma.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (*.f64 (/.f64 c d) a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) (-.f64 b (*.f64 (/.f64 c d) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (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 (fma.f64 b b (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 c d) a) 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 (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 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) (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))) (fma.f64 b b (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 c d) a) b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (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 (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 (/.f64 (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) (neg.f64 (/.f64 (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))))))
(fma.f64 (/.f64 a (pow.f64 (neg.f64 c) #s(literal -1 binary64))) (pow.f64 (neg.f64 d) #s(literal -1 binary64)) b)
(fma.f64 (/.f64 a (pow.f64 c #s(literal -1 binary64))) (pow.f64 d #s(literal -1 binary64)) b)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 c) #s(literal -1 binary64))) (/.f64 a (neg.f64 d)) b)
(fma.f64 (/.f64 a (neg.f64 d)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 c) #s(literal -1 binary64))) b)
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) d) b)
(fma.f64 (/.f64 a d) c b)
(fma.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) (/.f64 a (pow.f64 (neg.f64 c) #s(literal -1 binary64))) b)
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d) b)
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 c d) b)
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 a (pow.f64 c #s(literal -1 binary64))) b)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 c d) a) b)
(fma.f64 (*.f64 a c) (pow.f64 d #s(literal -1 binary64)) b)
(fma.f64 (/.f64 c d) a b)
(fma.f64 a (/.f64 c d) b)
(fma.f64 c (/.f64 a d) b)
(fma.f64 c (*.f64 (pow.f64 d #s(literal -1 binary64)) a) b)
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (*.f64 (/.f64 c d) a))) (/.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (-.f64 b (*.f64 (/.f64 c d) a))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) a (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))))
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(neg.f64 (/.f64 d (neg.f64 c)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 d (neg.f64 c)))
(exp.f64 (*.f64 (log.f64 (/.f64 c d)) #s(literal -1 binary64)))

eval97.0ms (1.4%)

Memory
-9.9MiB live, 147.4MiB allocated
Compiler

Compiled 19 309 to 2 035 computations (89.5% saved)

prune18.0ms (0.3%)

Memory
38.1MiB live, 38.1MiB allocated
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New5339542
Fresh6410
Picked235
Done022
Total54118559
Accuracy
100.0%
Counts
559 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.4%
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
48.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
45.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
41.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
43.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
21.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
42.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) c)))
21.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (*.f64 b d) (*.f64 c c))))
22.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 d c) c) b)))
23.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
53.6%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
54.0%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
55.6%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
22.5%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 b d) c)) c))
21.6%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
55.1%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
46.1%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
22.0%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
Compiler

Compiled 968 to 596 computations (38.4% saved)

simplify500.0ms (7.2%)

Memory
-10.9MiB live, 109.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
cost-diff0
(*.f64 b d)
cost-diff0
(fma.f64 a c (*.f64 b d))
cost-diff0
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff0
(/.f64 (/.f64 b c) c)
cost-diff0
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
cost-diff384
(*.f64 (/.f64 (/.f64 b c) c) d)
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(/.f64 c (fma.f64 c c (*.f64 d d)))
cost-diff0
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
cost-diff0
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
cost-diff0
(/.f64 a (*.f64 d d))
cost-diff0
(*.f64 (/.f64 a (*.f64 d d)) c)
cost-diff0
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c))
cost-diff0
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
cost-diff0
(fma.f64 (/.f64 c d) a b)
cost-diff0
(/.f64 d (fma.f64 (/.f64 c d) a b))
cost-diff0
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053310
073302
1118296
2208289
3462283
4858283
51770283
63224283
75265283
86646283
97195283
107324283
117452283
127456283
137468283
147541283
157569283
167569279
177637279
187817279
197963279
207995279
217995279
227995279
07995277
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b)))
#s(literal 1 binary64)
(/.f64 d (fma.f64 (/.f64 c d) a b))
d
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
c
a
b
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c))
(*.f64 (/.f64 a (*.f64 d d)) c)
(/.f64 a (*.f64 d d))
a
(*.f64 d d)
d
c
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(/.f64 c (fma.f64 c c (*.f64 d d)))
c
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
d
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))
(*.f64 (/.f64 (/.f64 b c) c) d)
(/.f64 (/.f64 b c) c)
(/.f64 b c)
b
c
d
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(fma.f64 a c (*.f64 b d))
a
c
(*.f64 b d)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
Outputs
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b)))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
#s(literal 1 binary64)
(/.f64 d (fma.f64 (/.f64 c d) a b))
d
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
c
a
b
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c))
(*.f64 (/.f64 a (*.f64 d d)) c)
(/.f64 a (*.f64 d d))
a
(*.f64 d d)
d
c
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)
(/.f64 c (fma.f64 c c (*.f64 d d)))
c
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
d
a
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 d (*.f64 c c)) b)))
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 d (*.f64 c c)) b))
(*.f64 (/.f64 (/.f64 b c) c) d)
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (/.f64 b c) c)
(/.f64 b c)
b
c
d
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(fma.f64 a c (*.f64 b d))
a
c
(*.f64 b d)
b
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)

localize99.0ms (1.4%)

Memory
-4.8MiB live, 109.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 b d)
accuracy0.2578097476055602
(fma.f64 a c (*.f64 b d))
accuracy20.61360149714976
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy29.10670904055486
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy0.125
(/.f64 (/.f64 b c) c)
accuracy6.693878015193997
(*.f64 (/.f64 (/.f64 b c) c) d)
accuracy24.918359989033654
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))
accuracy29.39923303557833
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
accuracy0
(*.f64 d d)
accuracy1.6413534722880472
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
accuracy16.590385376491998
(/.f64 c (fma.f64 c c (*.f64 d d)))
accuracy28.154602708489698
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
accuracy5.71014990348494
(/.f64 a (*.f64 d d))
accuracy8.698500600123896
(*.f64 (/.f64 a (*.f64 d d)) c)
accuracy28.171747660696678
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
accuracy28.594142987151407
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c))
accuracy0.3972452036771737
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b)))
accuracy0.8128585002269226
(/.f64 d (fma.f64 (/.f64 c d) a b))
accuracy1.959822840996388
(fma.f64 (/.f64 c d) a b)
accuracy28.171747660696678
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
Samples
77.0ms256×0valid
Compiler

Compiled 554 to 95 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 23.0ms (39.9% of total)
ival-div: 21.0ms (36.4% of total)
ival-add: 8.0ms (13.9% of total)
ival-pow: 4.0ms (6.9% of total)
ival-neg: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series84.0ms (1.2%)

Memory
9.4MiB live, 60.5MiB allocated
Counts
21 → 140
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
(/.f64 d (fma.f64 (/.f64 c d) a b))
(fma.f64 (/.f64 c d) a b)
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c))
(*.f64 (/.f64 a (*.f64 d d)) c)
(/.f64 a (*.f64 d d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(/.f64 c (fma.f64 c c (*.f64 d d)))
(fma.f64 c c (*.f64 d d))
(*.f64 (/.f64 (/.f64 b c) c) d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))
(/.f64 (/.f64 b c) c)
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(fma.f64 a c (*.f64 b d))
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 d d)
Outputs
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(+ (* a (- (/ (* a (pow c 2)) (* (pow b 3) d)) (/ c (pow b 2)))) (/ d b))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (* (pow b 4) (pow d 2)))) (* -1 (/ (pow c 2) (* (pow b 3) d))))) (/ c (pow b 2)))) (/ d b))
b
(+ b (/ (* a c) d))
(/ (* a c) (pow d 2))
(/ a (pow d 2))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(* b d)
(+ (* a c) (* b d))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (pow d 2) (* a c))
(/ (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 2)))) (/ (pow d 2) c)) a)
(/ (- (+ (/ (* (pow b 2) (pow d 4)) (* (pow a 2) (pow c 3))) (/ (pow d 2) c)) (/ (* b (pow d 3)) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 5)) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c)) (+ (* -1 (/ (* (pow b 2) (pow d 4)) (* (pow a 2) (pow c 3)))) (/ (* b (pow d 3)) (* a (pow c 2))))) a)
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a c)
(* a (+ c (/ (* b d) a)))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (/ (+ (* -1 (/ (pow d 2) c)) (/ (* b (pow d 3)) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow b 2) (pow d 4)) (* a (pow c 3))) (/ (* b (pow d 3)) (pow c 2))) a)) (* -1 (/ (pow d 2) c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 5)) (* a (pow c 4))) (/ (* (pow b 2) (pow d 4)) (pow c 3))) a)) (/ (* b (pow d 3)) (pow c 2))) a)) (* -1 (/ (pow d 2) c))) a))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(+ (* -1 (/ (* b (pow d 3)) (* (pow a 2) (pow c 2)))) (/ (pow d 2) (* a c)))
(+ (* b (- (/ (* b (pow d 4)) (* (pow a 3) (pow c 3))) (/ (pow d 3) (* (pow a 2) (pow c 2))))) (/ (pow d 2) (* a c)))
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 5)) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow d 4) (* (pow a 3) (pow c 3)))))) (/ (pow d 3) (* (pow a 2) (pow c 2))))) (/ (pow d 2) (* a c)))
(/ b (pow c 2))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (+ d (* -1 (/ (* a c) b))) b)
(/ (- (+ d (/ (* (pow a 2) (pow c 2)) (* (pow b 2) d))) (/ (* a c) b)) b)
(/ (- (+ d (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) d))) (/ (* a c) b))) b)
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ d (/ (* a c) b)))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (/ (+ (* -1 d) (/ (* a c) b)) b))
(* -1 (/ (+ (* -1 d) (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* b d)) (* a c)) b))) b))
(* -1 (/ (+ (* -1 d) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 2))) (/ (* (pow a 2) (pow c 2)) d)) b)) (* a c)) b))) b))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -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 (- (/ (* (pow a 2) c) (* (pow b 3) d)) (/ a (pow b 2)))) (/ d b))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 2)))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(/ c (pow d 2))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (+ 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 (/ (* b (pow d 3)) (* (pow a 2) c))) (/ (pow d 2) a)) c)
(/ (- (+ (/ (* (pow b 2) (pow d 4)) (* (pow a 3) (pow c 2))) (/ (pow d 2) a)) (/ (* b (pow d 3)) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 5)) (* (pow a 4) (pow c 3)))) (/ (pow d 2) a)) (+ (* -1 (/ (* (pow b 2) (pow d 4)) (* (pow a 3) (pow c 2)))) (/ (* b (pow d 3)) (* (pow a 2) c)))) c)
(* c (+ (/ a d) (/ b c)))
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)
(/ 1 c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* c (+ a (/ (* b d) c)))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -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 (/ (+ (* -1 (/ (pow d 2) a)) (/ (* b (pow d 3)) (* (pow a 2) c))) c))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow b 2) (pow d 4)) (* (pow a 3) c)) (/ (* b (pow d 3)) (pow a 2))) c)) (* -1 (/ (pow d 2) a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 5)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 4)) (pow a 3))) c)) (/ (* b (pow d 3)) (pow a 2))) c)) (* -1 (/ (pow d 2) a))) c))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(/ (+ (* a c) (* b d)) (pow d 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))
(* (pow d 2) (+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))
(* (pow d 2) (+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(* (pow d 2) (+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(/ (+ (* a c) (* b d)) d)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))
(/ (+ 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 (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))
(* d (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 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 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
Calls

12 calls:

TimeVariablePointExpression
48.0ms
c
@0
((/ 1 (/ d (+ (* (/ c d) a) b))) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ d (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* a (/ c d)) b) d) (* (/ a (* d d)) c) (/ a (* d d)) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* (/ (/ b c) c) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ (/ b c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (* d d))
4.0ms
a
@inf
((/ 1 (/ d (+ (* (/ c d) a) b))) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ d (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* a (/ c d)) b) d) (* (/ a (* d d)) c) (/ a (* d d)) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* (/ (/ b c) c) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ (/ b c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (* d d))
4.0ms
c
@-inf
((/ 1 (/ d (+ (* (/ c d) a) b))) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ d (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* a (/ c d)) b) d) (* (/ a (* d d)) c) (/ a (* d d)) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* (/ (/ b c) c) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ (/ b c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (* d d))
4.0ms
a
@-inf
((/ 1 (/ d (+ (* (/ c d) a) b))) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ d (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* a (/ c d)) b) d) (* (/ a (* d d)) c) (/ a (* d d)) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* (/ (/ b c) c) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ (/ b c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (* d d))
3.0ms
c
@inf
((/ 1 (/ d (+ (* (/ c d) a) b))) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ d (+ (* (/ c d) a) b)) (+ (* (/ c d) a) b) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/ (+ (* a (/ c d)) b) d) (* (/ a (* d d)) c) (/ a (* d d)) (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* (/ (/ b c) c) d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ (/ b c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* b d) (+ (* c c) (* d d)) (* d d))

simplify152.0ms (2.2%)

Memory
9.1MiB live, 120.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06792828
122522724
275372692
082482599
Stop Event
iter limit
node limit
Counts
140 → 139
Calls
Call 1
Inputs
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(+ (* a (- (/ (* a (pow c 2)) (* (pow b 3) d)) (/ c (pow b 2)))) (/ d b))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (* (pow b 4) (pow d 2)))) (* -1 (/ (pow c 2) (* (pow b 3) d))))) (/ c (pow b 2)))) (/ d b))
b
(+ b (/ (* a c) d))
(/ (* a c) (pow d 2))
(/ a (pow d 2))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(* b d)
(+ (* a c) (* b d))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (pow d 2) (* a c))
(/ (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 2)))) (/ (pow d 2) c)) a)
(/ (- (+ (/ (* (pow b 2) (pow d 4)) (* (pow a 2) (pow c 3))) (/ (pow d 2) c)) (/ (* b (pow d 3)) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 5)) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c)) (+ (* -1 (/ (* (pow b 2) (pow d 4)) (* (pow a 2) (pow c 3)))) (/ (* b (pow d 3)) (* a (pow c 2))))) a)
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a c)
(* a (+ c (/ (* b d) a)))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (/ (+ (* -1 (/ (pow d 2) c)) (/ (* b (pow d 3)) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow b 2) (pow d 4)) (* a (pow c 3))) (/ (* b (pow d 3)) (pow c 2))) a)) (* -1 (/ (pow d 2) c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 5)) (* a (pow c 4))) (/ (* (pow b 2) (pow d 4)) (pow c 3))) a)) (/ (* b (pow d 3)) (pow c 2))) a)) (* -1 (/ (pow d 2) c))) a))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(+ (* -1 (/ (* b (pow d 3)) (* (pow a 2) (pow c 2)))) (/ (pow d 2) (* a c)))
(+ (* b (- (/ (* b (pow d 4)) (* (pow a 3) (pow c 3))) (/ (pow d 3) (* (pow a 2) (pow c 2))))) (/ (pow d 2) (* a c)))
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 5)) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow d 4) (* (pow a 3) (pow c 3)))))) (/ (pow d 3) (* (pow a 2) (pow c 2))))) (/ (pow d 2) (* a c)))
(/ b (pow c 2))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (+ d (* -1 (/ (* a c) b))) b)
(/ (- (+ d (/ (* (pow a 2) (pow c 2)) (* (pow b 2) d))) (/ (* a c) b)) b)
(/ (- (+ d (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) d))) (/ (* a c) b))) b)
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ d (/ (* a c) b)))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (/ (+ (* -1 d) (/ (* a c) b)) b))
(* -1 (/ (+ (* -1 d) (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* b d)) (* a c)) b))) b))
(* -1 (/ (+ (* -1 d) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 2))) (/ (* (pow a 2) (pow c 2)) d)) b)) (* a c)) b))) b))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -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 (- (/ (* (pow a 2) c) (* (pow b 3) d)) (/ a (pow b 2)))) (/ d b))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 2)))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(/ c (pow d 2))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (+ 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 (/ (* b (pow d 3)) (* (pow a 2) c))) (/ (pow d 2) a)) c)
(/ (- (+ (/ (* (pow b 2) (pow d 4)) (* (pow a 3) (pow c 2))) (/ (pow d 2) a)) (/ (* b (pow d 3)) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 5)) (* (pow a 4) (pow c 3)))) (/ (pow d 2) a)) (+ (* -1 (/ (* (pow b 2) (pow d 4)) (* (pow a 3) (pow c 2)))) (/ (* b (pow d 3)) (* (pow a 2) c)))) c)
(* c (+ (/ a d) (/ b c)))
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)
(/ 1 c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* c (+ a (/ (* b d) c)))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -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 (/ (+ (* -1 (/ (pow d 2) a)) (/ (* b (pow d 3)) (* (pow a 2) c))) c))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow b 2) (pow d 4)) (* (pow a 3) c)) (/ (* b (pow d 3)) (pow a 2))) c)) (* -1 (/ (pow d 2) a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 5)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 4)) (pow a 3))) c)) (/ (* b (pow d 3)) (pow a 2))) c)) (* -1 (/ (pow d 2) a))) c))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(/ (+ (* a c) (* b d)) (pow d 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))
(* (pow d 2) (+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))
(* (pow d 2) (+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(* (pow d 2) (+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(/ (+ (* a c) (* b d)) d)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))
(/ (+ 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 (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))
(* d (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 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 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(/ (* 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))
(/ d b)
(/.f64 d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(/.f64 (-.f64 d (/.f64 (*.f64 a c) b)) b)
(+ (* a (- (/ (* a (pow c 2)) (* (pow b 3) d)) (/ c (pow b 2)))) (/ d b))
(fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 c (/.f64 c d))) (/.f64 c (*.f64 b b))) a (/.f64 d b))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (* (pow b 4) (pow d 2)))) (* -1 (/ (pow c 2) (* (pow b 3) d))))) (/ c (pow b 2)))) (/ d b))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 c d))) a (/.f64 (neg.f64 c) (*.f64 b b))) a (/.f64 d b))
b
(+ b (/ (* a c) d))
(fma.f64 (/.f64 c d) a b)
(/ (* a c) (pow d 2))
(*.f64 (/.f64 (/.f64 c d) d) a)
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(/ (* b d) (pow c 2))
(*.f64 (/.f64 d (*.f64 c c)) b)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 (+.f64 (/.f64 (/.f64 c d) d) (/.f64 (/.f64 b d) a)) 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)
(/ (pow d 2) (* a c))
(*.f64 (/.f64 d c) (/.f64 d a))
(/ (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 2)))) (/ (pow d 2) c)) a)
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c) (/.f64 (*.f64 d d) c)) a)
(/ (- (+ (/ (* (pow b 2) (pow d 4)) (* (pow a 2) (pow c 3))) (/ (pow d 2) c)) (/ (* b (pow d 3)) (* a (pow c 2)))) a)
(/.f64 (fma.f64 d (/.f64 d c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 c #s(literal 3 binary64))) (/.f64 (pow.f64 d #s(literal 4 binary64)) a) (*.f64 (neg.f64 b) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c))) a)) a)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 5)) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c)) (+ (* -1 (/ (* (pow b 2) (pow d 4)) (* (pow a 2) (pow c 3)))) (/ (* b (pow d 3)) (* a (pow c 2))))) a)
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (*.f64 d d) c)) (fma.f64 (neg.f64 (*.f64 b (/.f64 (/.f64 b a) a))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) a) (/.f64 b (*.f64 c c))))) a)
(/ (* a c) d)
(*.f64 (/.f64 c d) a)
(* a (+ (/ b a) (/ c d)))
(*.f64 (+.f64 (/.f64 b a) (/.f64 c d)) a)
(/ a c)
(/.f64 a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 d (*.f64 c c)) a) b (/.f64 #s(literal 1 binary64) c)) a)
(* a c)
(*.f64 a c)
(* a (+ c (/ (* b d) a)))
(*.f64 (fma.f64 d (/.f64 b a) c) a)
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 c) (*.f64 d d)) (/.f64 (/.f64 b d) a)))
(* -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 b (fma.f64 c c (*.f64 d d))) (/.f64 d a) (/.f64 c (fma.f64 c c (*.f64 d d))))))
(* -1 (/ (+ (* -1 (/ (pow d 2) c)) (/ (* b (pow d 3)) (* a (pow c 2)))) a))
(/.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) a) (/.f64 b (*.f64 c c)) (/.f64 (*.f64 (neg.f64 d) d) c)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow b 2) (pow d 4)) (* a (pow c 3))) (/ (* b (pow d 3)) (pow c 2))) a)) (* -1 (/ (pow d 2) c))) a))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 d c) (/.f64 (fma.f64 (/.f64 (*.f64 b b) (pow.f64 c #s(literal 3 binary64))) (/.f64 (pow.f64 d #s(literal 4 binary64)) a) (*.f64 (neg.f64 b) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c))) a))) a)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 5)) (* a (pow c 4))) (/ (* (pow b 2) (pow d 4)) (pow c 3))) a)) (/ (* b (pow d 3)) (pow c 2))) a)) (* -1 (/ (pow d 2) c))) a))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 d c) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c) (/.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))))) (neg.f64 a))) a))) a)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 c) d) (/.f64 b a)))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 (/.f64 d (*.f64 c c)) a) (/.f64 #s(literal -1 binary64) c)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 d (/.f64 b a) c)))
(+ (* -1 (/ (* b (pow d 3)) (* (pow a 2) (pow c 2)))) (/ (pow d 2) (* a c)))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c) (/.f64 (*.f64 d d) c)) a)
(+ (* b (- (/ (* b (pow d 4)) (* (pow a 3) (pow c 3))) (/ (pow d 3) (* (pow a 2) (pow c 2))))) (/ (pow d 2) (* a c)))
(fma.f64 (-.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) b) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 c c) a) a))) b (*.f64 (/.f64 d c) (/.f64 d a)))
(+ (* b (- (* b (- (* -1 (/ (* b (pow d 5)) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow d 4) (* (pow a 3) (pow c 3)))))) (/ (pow d 3) (* (pow a 2) (pow c 2))))) (/ (pow d 2) (* a c)))
(fma.f64 (/.f64 d c) (/.f64 d a) (*.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) b (/.f64 (neg.f64 (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 c c) a) a))) b))
(/ b (pow c 2))
(/.f64 b (*.f64 c c))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(fma.f64 a (*.f64 (/.f64 (/.f64 (/.f64 c d) d) b) b) (/.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)
(/ (+ d (* -1 (/ (* a c) b))) b)
(/.f64 (-.f64 d (/.f64 (*.f64 a c) b)) b)
(/ (- (+ d (/ (* (pow a 2) (pow c 2)) (* (pow b 2) d))) (/ (* a c) b)) b)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a a) d) (/.f64 (*.f64 c c) b) (*.f64 (neg.f64 a) c)) b) d) b)
(/ (- (+ d (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 3) (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 2) d))) (/ (* a c) b))) 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)) d) d) d) (-.f64 (/.f64 (*.f64 a c) b) (*.f64 (*.f64 a (/.f64 a b)) (*.f64 c (/.f64 (/.f64 c d) b))))) b)
(* b (+ 1 (/ (* a c) (* b d))))
(fma.f64 (/.f64 (/.f64 (*.f64 a c) b) d) b b)
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b)
(* b (+ d (/ (* a c) b)))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) (/.f64 (neg.f64 c) (*.f64 d d)) (/.f64 #s(literal -1 binary64) 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 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d))))))
(* -1 (/ (+ (* -1 d) (/ (* a c) b)) b))
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) d) (neg.f64 b))
(* -1 (/ (+ (* -1 d) (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* b d)) (* a c)) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 a a) d) (/.f64 (*.f64 c c) b) (*.f64 (neg.f64 a) c)) (neg.f64 b)) d) (neg.f64 b))
(* -1 (/ (+ (* -1 d) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* b (pow d 2))) (/ (* (pow a 2) (pow c 2)) d)) b)) (* a c)) b))) b))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 c (/.f64 c d)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 (*.f64 d d) b))) (neg.f64 b))) (neg.f64 b)) d) (neg.f64 b))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 a b) (/.f64 (neg.f64 c) d) #s(literal -1 binary64)))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (/.f64 (neg.f64 d) c) c) (/.f64 (/.f64 a c) b)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 (/.f64 c b) a 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))
(+ (* c (- (/ (* (pow a 2) c) (* (pow b 3) d)) (/ a (pow b 2)))) (/ d b))
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 a a) d) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 a (*.f64 b b))) c (/.f64 d b))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (* (pow b 4) (pow d 2)))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) (*.f64 d d)) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 a d))) c (/.f64 (neg.f64 a) (*.f64 b b))) c (/.f64 d b))
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(*.f64 (-.f64 (/.f64 a (*.f64 d d)) (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 4 binary64))))) c)
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(fma.f64 (/.f64 a d) (/.f64 c d) (*.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 3 binary64))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (*.f64 c (/.f64 c (pow.f64 d #s(literal 8 binary64)))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c) (/.f64 (neg.f64 a) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 a (*.f64 d d))) c)
(/ c (pow d 2))
(/.f64 (/.f64 c d) d)
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) d) d) (*.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64))))) c)
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) d) d) c))
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 6 binary64))) (*.f64 c (/.f64 c (pow.f64 d #s(literal 8 binary64))))) (*.f64 c c) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 c #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) d) d) c))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) c) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) 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 (neg.f64 a) (/.f64 (*.f64 d d) c) (*.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 (+.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 d d) c) (*.f64 b d)) c)) a) c)
(/ (+ (* -1 (/ (* b (pow d 3)) (* (pow a 2) c))) (/ (pow d 2) a)) c)
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c) (/.f64 (*.f64 d d) c)) a)
(/ (- (+ (/ (* (pow b 2) (pow d 4)) (* (pow a 3) (pow c 2))) (/ (pow d 2) a)) (/ (* b (pow d 3)) (* (pow a 2) c))) c)
(/.f64 (fma.f64 d (/.f64 d a) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) (*.f64 (neg.f64 a) a))) c)) c)
(/ (- (+ (* -1 (/ (* (pow b 3) (pow d 5)) (* (pow a 4) (pow c 3)))) (/ (pow d 2) a)) (+ (* -1 (/ (* (pow b 2) (pow d 4)) (* (pow a 3) (pow c 2)))) (/ (* b (pow d 3)) (* (pow a 2) c)))) c)
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 d d) a)) (fma.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (*.f64 a a)) b (*.f64 (*.f64 (neg.f64 b) b) (/.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 c c))))) c)
(* c (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c)
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(fma.f64 (*.f64 (neg.f64 a) (/.f64 d (pow.f64 c #s(literal 3 binary64)))) d (/.f64 a c))
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) a) c)
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)
(/.f64 (-.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) a) (fma.f64 (neg.f64 a) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (*.f64 d (/.f64 d (*.f64 c c))) a))) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) c)
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/.f64 (fma.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) c)
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (*.f64 d (/.f64 d (*.f64 c c))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) 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 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 b) d) c) (/.f64 a (*.f64 d d))) (neg.f64 c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) (neg.f64 c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 d d) c) (*.f64 b d)) (neg.f64 c)) a) (neg.f64 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))) (neg.f64 c)) a) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (pow d 2) a)) (/ (* b (pow d 3)) (* (pow a 2) c))) c))
(/.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) a) (/.f64 b (*.f64 c c)) (/.f64 (*.f64 (neg.f64 d) d) c)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow b 2) (pow d 4)) (* (pow a 3) c)) (/ (* b (pow d 3)) (pow a 2))) c)) (* -1 (/ (pow d 2) a))) c))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 d a) (/.f64 (fma.f64 (/.f64 (*.f64 b b) c) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) (*.f64 (neg.f64 a) a))) c))) c)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow d 5)) (* (pow a 4) c)) (/ (* (pow b 2) (pow d 4)) (pow a 3))) c)) (/ (* b (pow d 3)) (pow a 2))) c)) (* -1 (/ (pow d 2) a))) c))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 d a) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) a) a) (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) c))) (neg.f64 c))) c))) c)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (-.f64 (/.f64 b (neg.f64 c)) (/.f64 a d)) (neg.f64 c))
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(/.f64 (*.f64 a (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64))) (neg.f64 c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 a (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c))
(/.f64 (fma.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 d #s(literal 4 binary64)) (/.f64 a (pow.f64 c #s(literal 4 binary64))) a))) (neg.f64 c))
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) c)
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))
(/.f64 (neg.f64 (fma.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (neg.f64 c))
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c))))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 d c) b a)) (neg.f64 c))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) d) d)
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (neg.f64 a) (/.f64 d (pow.f64 c #s(literal 3 binary64))) (/.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))
(* (pow d 2) (+ (* -1 (/ (* b d) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (/.f64 (/.f64 (neg.f64 d) c) c) (/.f64 (/.f64 #s(literal 1 binary64) c) a)) (*.f64 d d))
(* (pow d 2) (+ (* d (- (/ (* (pow b 2) d) (* (pow a 3) (pow c 3))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) d) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (/.f64 b (*.f64 (*.f64 (*.f64 c c) a) a))) d (/.f64 (/.f64 #s(literal 1 binary64) c) a)) (*.f64 d d))
(* (pow d 2) (+ (* d (- (* d (- (* -1 (/ (* (pow b 3) d) (* (pow a 4) (pow c 4)))) (* -1 (/ (pow b 2) (* (pow a 3) (pow c 3)))))) (/ b (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 d (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (/.f64 b (pow.f64 c #s(literal 3 binary64))) (/.f64 b (pow.f64 a #s(literal 3 binary64))))) d (/.f64 (/.f64 (/.f64 b a) a) (*.f64 (neg.f64 c) c))) d (/.f64 (/.f64 #s(literal 1 binary64) c) a)) (*.f64 d d))
(/ (+ (* a c) (* b d)) d)
(/.f64 (fma.f64 b d (*.f64 a c)) d)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(fma.f64 (*.f64 (neg.f64 a) (/.f64 d (pow.f64 c #s(literal 3 binary64)))) d (/.f64 a c))
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(fma.f64 (-.f64 (*.f64 (*.f64 d d) (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 a c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d (pow.f64 c #s(literal 7 binary64)))) (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (*.f64 d d) (/.f64 (neg.f64 a) (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 a c))
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) c)
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))
(fma.f64 (fma.f64 d (/.f64 d (pow.f64 c #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) c))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (*.f64 d (/.f64 d (pow.f64 c #s(literal 7 binary64))))) (*.f64 d d) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 3 binary64)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) 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 (neg.f64 b) (*.f64 c (/.f64 c d)) (*.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 (+.f64 (fma.f64 (neg.f64 a) (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c d)) (*.f64 a c)) d)) b) d)
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 (/.f64 c (*.f64 b b)) d) (/.f64 #s(literal 1 binary64) b)) d)
(* d (- (+ (/ 1 b) (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 c (/.f64 c d))) (/.f64 c (*.f64 b b))) a) d) (/.f64 #s(literal 1 binary64) b)) d)
(* d (- (+ (* -1 (/ (* (pow a 3) (pow c 3)) (* (pow b 4) (pow d 3)))) (/ 1 b)) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(*.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) b)) (fma.f64 (/.f64 (/.f64 c (*.f64 b b)) d) a (*.f64 (*.f64 (neg.f64 a) a) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 c d) d))))) d)
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/.f64 (fma.f64 (neg.f64 a) (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (*.f64 (/.f64 c d) a)) d)
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (-.f64 (/.f64 (*.f64 a (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c)) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) a)) d)
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (*.f64 a c) (*.f64 (pow.f64 c #s(literal 7 binary64)) (/.f64 a (pow.f64 d #s(literal 6 binary64))))) (*.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))))) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) a)) d)
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (neg.f64 (pow.f64 c #s(literal 5 binary64))) (pow.f64 d #s(literal 4 binary64)))) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) 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 (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 b (*.f64 c c))) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (*.f64 #s(literal 1 binary64) (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 (neg.f64 b) (*.f64 c (/.f64 c d)) (*.f64 a c)) (neg.f64 d)) b) (neg.f64 d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d))
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(*.f64 (fma.f64 (/.f64 (/.f64 c (*.f64 b b)) d) a (/.f64 #s(literal -1 binary64) b)) (neg.f64 d))
(* -1 (* d (- (* -1 (/ (- (/ (* (pow a 2) (pow c 2)) (* (pow b 3) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 c (/.f64 c d))) (/.f64 c (*.f64 b b))) a) d) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b)) (neg.f64 d))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (* (pow b 4) d)) (/ (* (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 (*.f64 (neg.f64 a) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 (pow.f64 b #s(literal 4 binary64)) d))) (neg.f64 d))) d) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) b)) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 b (neg.f64 c)) c) (/.f64 (/.f64 a d) c)) (neg.f64 d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 c d) a b)) d)

rewrite185.0ms (2.6%)

Memory
-25.6MiB live, 210.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053280
073268
1297253
21946253
08535251
Stop Event
iter limit
node limit
iter limit
Counts
21 → 560
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
(/.f64 d (fma.f64 (/.f64 c d) a b))
(fma.f64 (/.f64 c d) a b)
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c))
(*.f64 (/.f64 a (*.f64 d d)) c)
(/.f64 a (*.f64 d d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(/.f64 c (fma.f64 c c (*.f64 d d)))
(fma.f64 c c (*.f64 d d))
(*.f64 (/.f64 (/.f64 b c) c) d)
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))
(/.f64 (/.f64 b c) c)
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(fma.f64 a c (*.f64 b d))
(*.f64 b d)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 d d)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)) (*.f64 b b)) #s(literal -1 binary64))) (/.f64 (pow.f64 d #s(literal -1 binary64)) (fma.f64 a (/.f64 c d) (neg.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 d #s(literal -1 binary64)) (fma.f64 b (-.f64 b (*.f64 a (/.f64 c d))) (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 a (/.f64 c d))) (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64))) d) (/.f64 (fma.f64 a (/.f64 c d) b) (fma.f64 b (-.f64 b (*.f64 a (/.f64 c d))) (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 d (-.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a (/.f64 c d) (neg.f64 b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (+.f64 (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (-.f64 b (*.f64 a (/.f64 c d))) (pow.f64 (*.f64 a (/.f64 c d)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 d) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) (neg.f64 (fma.f64 a (/.f64 c d) b)))
(*.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64)) (pow.f64 d #s(literal -1 binary64)))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 a (/.f64 c d) b) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(*.f64 (pow.f64 d #s(literal -1 binary64)) (fma.f64 a (/.f64 c d) b))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 b d) #s(literal 3 binary64)) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))))
(fma.f64 b d (*.f64 a c))
(fma.f64 a c (*.f64 b d))
(fma.f64 c a (*.f64 b d))
(fma.f64 d b (*.f64 a c))
(-.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (fma.f64 a c (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (fma.f64 a c (*.f64 (neg.f64 b) d))))
(-.f64 (/.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (fma.f64 b d (*.f64 (neg.f64 a) c))))
(exp.f64 (log.f64 (fma.f64 b d (*.f64 a c))))
(+.f64 (*.f64 b d) (*.f64 a c))
(+.f64 (*.f64 a c) (*.f64 b d))
(*.f64 b d)
(*.f64 d b)
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.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)))

eval294.0ms (4.2%)

Memory
11.9MiB live, 126.2MiB allocated
Compiler

Compiled 28 027 to 2 934 computations (89.5% saved)

prune26.0ms (0.4%)

Memory
8.0MiB live, 47.1MiB allocated
Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New6897696
Fresh358
Picked235
Done055
Total69420714
Accuracy
100.0%
Counts
714 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.4%
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
21.3%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
48.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
45.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
41.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
43.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
21.1%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
42.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) c) c)))
22.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 d c) c) b)))
23.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
21.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 d (*.f64 c c)) b)))
53.6%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
54.0%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
55.6%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
22.5%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 b d) c)) c))
22.3%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
41.5%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
22.6%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
23.1%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
22.0%
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
Compiler

Compiled 1 854 to 584 computations (68.5% saved)

regimes107.0ms (1.5%)

Memory
3.4MiB live, 78.1MiB allocated
Counts
42 → 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 (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 d (*.f64 c c)) b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (*.f64 b d) (*.f64 c 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 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
(/.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)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (/.f64 (neg.f64 d) b)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 d c) c) b)))
#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))
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) c) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 b (/.f64 c d)) (/.f64 a c)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) (*.f64 (/.f64 b c) (/.f64 b (pow.f64 a #s(literal 3 binary64))))) (neg.f64 d) (/.f64 b (*.f64 a a))) d (/.f64 (neg.f64 c) a))))
(/.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))))
Outputs
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) 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))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Calls

5 calls:

54.0ms
d
16.0ms
a
12.0ms
c
12.0ms
b
11.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
73.2%3a
74.9%4b
87.8%5c
87.2%5d
79.8%3(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes33.0ms (0.5%)

Memory
-26.6MiB live, 29.0MiB allocated
Counts
34 → 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 (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 d (*.f64 c c)) b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (*.f64 b d) (*.f64 c 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 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
(/.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)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (/.f64 (neg.f64 d) b)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 d c) c) b)))
#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))
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (/.f64 (fma.f64 b d (*.f64 a c)) c) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
Outputs
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Calls

2 calls:

22.0ms
d
10.0ms
c
Results
AccuracySegmentsBranch
78.8%3d
80.9%3c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes10.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 d (*.f64 c c)) b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (*.f64 b d) (*.f64 c 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 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
(/.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)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (/.f64 (neg.f64 d) b)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 d c) c) b)))
#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))
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
Outputs
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))
Calls

1 calls:

8.0ms
c
Results
AccuracySegmentsBranch
80.4%3c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes24.0ms (0.3%)

Memory
-16.0MiB live, 22.8MiB allocated
Counts
25 → 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 (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 d (*.f64 c c)) b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (*.f64 b d) (*.f64 c 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 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
(/.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)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (/.f64 (neg.f64 d) b)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 d c) c) b)))
#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))
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
Calls

3 calls:

7.0ms
c
7.0ms
d
7.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
73.9%4d
60.7%3(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
74.1%3c
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes30.0ms (0.4%)

Memory
15.1MiB live, 15.1MiB 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 (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 d (*.f64 c c)) b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (*.f64 b d) (*.f64 c 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 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
(/.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)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (/.f64 (neg.f64 d) b)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 d c) c) b)))
#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))
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.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 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
Calls

4 calls:

7.0ms
a
7.0ms
b
7.0ms
d
7.0ms
c
Results
AccuracySegmentsBranch
70.2%5d
59.6%4a
62.6%3b
69.5%5c
Compiler

Compiled 4 to 16 computations (-300% saved)

regimes15.0ms (0.2%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
22 → 4
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 d (*.f64 c c)) b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (*.f64 b d) (*.f64 c 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 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
(/.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)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (/.f64 (neg.f64 d) b)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) d)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* b (/ d c)) a) (/.f64 (*.f64 b d) c)) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 b c) (/.f64 d c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 (/.f64 d c) c) b)))
#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 a c))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))))
#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(literal 1 binary64) (/.f64 c a)))
Calls

2 calls:

7.0ms
c
7.0ms
d
Results
AccuracySegmentsBranch
67.5%4c
65.4%3d
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes12.0ms (0.2%)

Memory
-29.3MiB live, 9.5MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (*.f64 (/.f64 d (*.f64 c c)) b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (*.f64 b d) (*.f64 c 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 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
(/.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)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
(/.f64 #s(literal -1 binary64) #s(approx (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c)))) (/.f64 (neg.f64 d) b)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 (/.f64 a d) d) c)))
#s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (*.f64 (/.f64 a d) c) 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 b d))
Calls

2 calls:

6.0ms
d
5.0ms
c
Results
AccuracySegmentsBranch
65.4%3d
64.8%3c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes7.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
d
1.0ms
b
1.0ms
c
1.0ms
a
1.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
41.6%1a
41.6%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
41.6%1b
41.6%1c
41.6%1d
Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch56.0ms (0.8%)

Memory
-13.3MiB live, 66.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
8.03863913199923e+96
5.314203175108924e+101
10.0ms
3.2401059765210904e-111
4.935322518193519e-110
19.0ms
-4.451710724154064e-140
-1.6216973194847838e-148
5.0ms
-2.4511409739097574e+33
-1.992558726143056e+33
Samples
32.0ms432×0valid
Compiler

Compiled 1 161 to 846 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 15.0ms (71% of total)
ival-add: 4.0ms (18.9% of total)
ival-div: 2.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.6%)

Memory
-1.5MiB live, 36.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.324977172258302e-7
403.3968991201067
12.0ms
-6.758783426731995e+32
-7.667753266677248e+30
Samples
17.0ms256×0valid
Compiler

Compiled 901 to 622 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (58.8% of total)
ival-add: 2.0ms (19.6% of total)
ival-div: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.324977172258302e-7
403.3968991201067
1.0ms
-6.758783426731995e+32
-7.667753266677248e+30
Compiler

Compiled 946 to 658 computations (30.4% saved)

bsearch20.0ms (0.3%)

Memory
23.6MiB live, 23.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
6.411640826697351e+19
2.2452202407758626e+23
5.0ms
-6.758783426731995e+32
-7.667753266677248e+30
Samples
11.0ms176×0valid
Compiler

Compiled 754 to 544 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (58.4% of total)
ival-div: 1.0ms (14.6% of total)
ival-add: 1.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch83.0ms (1.2%)

Memory
-23.0MiB live, 94.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
3.2202279132660767e+155
1.3638348896929703e+159
15.0ms
1.8995124572695668e-38
4.012041554146197e-37
13.0ms
-2.2840283221907115e-57
-1.2534115024562587e-61
30.0ms
-2.2095132818096616e+92
-1.3892597069915646e+71
Samples
39.0ms544×0valid
Compiler

Compiled 1 548 to 1 072 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 14.0ms (64.7% of total)
ival-add: 4.0ms (18.5% of total)
ival-div: 3.0ms (13.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Memory
43.3MiB live, 77.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
1.4389295350717288e-111
3.2401059765210904e-111
14.0ms
-1.5214246675719074e-26
-2.8509333005388803e-27
11.0ms
-4.269936929861915e+50
-3.466408247904322e+48
Samples
18.0ms288×0valid
Compiler

Compiled 868 to 623 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (61.8% of total)
ival-div: 2.0ms (17.7% of total)
ival-add: 2.0ms (17.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Memory
-12.9MiB live, 64.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
4.012041554146197e-37
4.376767270368093e-34
13.0ms
-2.7157463406507616e-120
-7.390290252242179e-125
Samples
18.0ms256×0valid
Compiler

Compiled 626 to 466 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (58.9% of total)
ival-add: 2.0ms (19.6% of total)
ival-div: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify154.0ms (2.2%)

Memory
-7.9MiB live, 41.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108701
1117701
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 c #s(literal -2349999999999999900924830434721792 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal -686479766013061/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 4146143036252439/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 580000000000000019908355750902262357221967384238180307140554613136142015670850355091154827808342016 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))))
(if (<=.f64 c #s(literal -154999999999999996608192385646592 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -154999999999999996608192385646592 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 c #s(literal -210000000000000005864621076381696 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 1950000000000000000000 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))))
(if (<=.f64 d #s(literal -1199999999999999947663172542221813969489814972339193549730036029167321479840268288 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -7526485800425553/57896044618658097711785492504343953926634992332820282019728792003956564819968 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 1819838454778243/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 329999999999999986887073051983365257158445238956042850857074078531302353998095472035007477664216376281067266221286379457865168866772671403703834048945192960 binary64)) #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 b d))))))
(if (<=.f64 c #s(literal -32999999999999998363986560732460608262941377036288 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -2439144006089287/696898287454081973172991196020261297061888 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))) (if (<=.f64 c #s(literal 4332296397063773/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 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 #s(literal 1 binary64) (/.f64 c a))))))
(if (<=.f64 d #s(literal -8140593712110797/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 3591786423904427/374144419156711147060143317175368453031918731001856 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 c #s(literal -2349999999999999900924830434721792 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal -686479766013061/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 4146143036252439/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 580000000000000019908355750902262357221967384238180307140554613136142015670850355091154827808342016 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))))
(if (<=.f64 c #s(literal -2349999999999999900924830434721792 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal -686479766013061/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) (/.f64 (+.f64 (*.f64 b d) (*.f64 a c)) (+.f64 (*.f64 d d) (*.f64 c c))) (if (<=.f64 c #s(literal 4146143036252439/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 580000000000000019908355750902262357221967384238180307140554613136142015670850355091154827808342016 binary64)) (/.f64 (+.f64 (*.f64 b d) (*.f64 a c)) (+.f64 (*.f64 d d) (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))))
(if (<=.f64 c #s(literal -154999999999999996608192385646592 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))))
(if (<=.f64 c #s(literal -154999999999999996608192385646592 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))
(if (<=.f64 c #s(literal -210000000000000005864621076381696 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 1950000000000000000000 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))))
(if (<=.f64 d #s(literal -1199999999999999947663172542221813969489814972339193549730036029167321479840268288 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -7526485800425553/57896044618658097711785492504343953926634992332820282019728792003956564819968 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 1819838454778243/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 329999999999999986887073051983365257158445238956042850857074078531302353998095472035007477664216376281067266221286379457865168866772671403703834048945192960 binary64)) #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 b d))))))
(if (<=.f64 c #s(literal -32999999999999998363986560732460608262941377036288 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -2439144006089287/696898287454081973172991196020261297061888 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))) (if (<=.f64 c #s(literal 4332296397063773/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 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 #s(literal 1 binary64) (/.f64 c a))))))
(if (<=.f64 c #s(literal -32999999999999998363986560732460608262941377036288 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -2439144006089287/696898287454081973172991196020261297061888 binary64)) #s(approx (/ -1 (* (pow (+ (* d b) (* c a)) -1) (neg (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (if (<=.f64 c #s(literal 4332296397063773/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 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 #s(literal 1 binary64) (/.f64 c a))))))
(if (<=.f64 d #s(literal -8140593712110797/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 3591786423904427/374144419156711147060143317175368453031918731001856 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))

soundness682.0ms (9.8%)

Memory
-0.9MiB live, 394.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
01835
15835
243535
3507335
0876031
08434296
128644143
082613994
0186593
1618583
21892559
35765557
08305512
033207
051197
1199190
21436190
08389190
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 981 to 351 computations (64.2% saved)

preprocess96.0ms (1.4%)

Memory
-14.2MiB live, 71.7MiB allocated
Compiler

Compiled 1 504 to 278 computations (81.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...