Complex division, real part

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze28.0ms (0.5%)

Memory
-11.5MiB live, 26.7MiB 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)

sample1.1s (17.9%)

Memory
35.7MiB live, 1 095.5MiB allocated
Samples
758.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 436.0ms
ival-mult: 272.0ms (62.4% of total)
ival-div: 88.0ms (20.2% of total)
ival-add: 67.0ms (15.4% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain288.0ms (4.7%)

Memory
-14.1MiB live, 181.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
950-1(6.928471515936245e-188 6.140718799436313e-81 9.6844789863596e-256 -1.287491677956931e-161)(/.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/o540
(+.f64 (*.f64 a c) (*.f64 b d))overflow61
(*.f64 a c)overflow26
(*.f64 b d)overflow40
(+.f64 (*.f64 c c) (*.f64 d d))overflow115
(*.f64 c c)overflow65
(*.f64 d d)overflow67
/.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))overflow115
(*.f64 c c)overflow65
(*.f64 d d)overflow67
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n70
(+.f64 (*.f64 a c) (*.f64 b d))overflow61
(*.f64 a c)overflow26
(*.f64 b d)overflow40
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u40
(+.f64 (*.f64 c c) (*.f64 d d))underflow11
(*.f64 c c)underflow57
(*.f64 d d)underflow62
/.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))underflow2
(*.f64 a c)underflow24
(*.f64 b d)underflow32
+.f64(+.f64 (*.f64 a c) (*.f64 b d))nan-rescue10
(*.f64 a c)overflow26
(*.f64 b d)overflow40
Confusion
Predicted +Predicted -
+941
-0161
Precision
1.0
Recall
0.9894736842105263
Confusion?
Predicted +Predicted MaybePredicted -
+9401
-00161
Precision?
1.0
Recall?
0.9894736842105263
Freqs
test
numberfreq
0162
193
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
84.0ms512×0valid
Compiler

Compiled 199 to 59 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 57.0ms (87.4% of total)
ival-add: 4.0ms (6.1% of total)
ival-div: 3.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess346.0ms (5.7%)

Memory
3.9MiB live, 40.3MiB 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
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.5%
(/.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
2.6MiB live, 2.6MiB 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)

localize347.0ms (5.7%)

Memory
-169.5MiB live, 47.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a c)
accuracy0.0078125
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy0.2539041858302058
(+.f64 (*.f64 a c) (*.f64 b d))
accuracy22.44365012796451
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
327.0ms256×0valid
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 (59.3% of total)
ival-add: 2.0ms (19.8% of total)
ival-div: 1.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
4 → 43
Calls
Call 1
Inputs
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a c)
Outputs
(* b d)
(+ (* a c) (* b d))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* a c)
(* a (+ c (/ (* b d) a)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(* c (+ a (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
Calls

12 calls:

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

simplify200.0ms (3.3%)

Memory
-14.3MiB live, 105.9MiB 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)

rewrite435.0ms (7.1%)

Memory
17.0MiB live, 174.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
15832
243532
3507332
0876028
Stop Event
iter limit
node limit
iter limit
Counts
4 → 339
Calls
Call 1
Inputs
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 a c)
Outputs
(*.f64 (/.f64 (-.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)))))
(fma.f64 (*.f64 a a) (/.f64 (*.f64 c 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)))))
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(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (neg.f64 d) d)))
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))))
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a)))
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b)))
(fma.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(fma.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))))
(fma.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(fma.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))))
(+.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(+.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))))
(+.f64 (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (neg.f64 d) d)))
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a)))
(+.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b)))
(*.f64 (exp.f64 (log.f64 a)) c)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 c a)
(*.f64 a c)
(pow.f64 (*.f64 c a) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 c a)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 c a)))

eval77.0ms (1.3%)

Memory
-12.7MiB live, 70.9MiB allocated
Compiler

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

prune21.0ms (0.3%)

Memory
-11.9MiB live, 27.8MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New34814362
Fresh000
Picked101
Done000
Total34914363
Accuracy
100.0%
Counts
363 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.5%
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
32.1%
(/.f64 (/.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 c c) (*.f64 d d)))
32.8%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
40.0%
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
52.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
46.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)))
56.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
51.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
44.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) d))
49.3%
#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))
43.6%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))
44.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
40.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
43.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
Compiler

Compiled 686 to 428 computations (37.6% saved)

simplify5.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB 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
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a 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-diff0
(*.f64 d b)
cost-diff0
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
cost-diff0
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff128
(+.f64 (*.f64 c c) (*.f64 d 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 d (*.f64 c c))
cost-diff0
(*.f64 c a)
cost-diff0
(fma.f64 d b (*.f64 c a))
cost-diff0
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029215
043205
156205
269205
376205
476205
076205
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
d
b
(*.f64 c a)
c
a
(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 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
d
b
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
c
(*.f64 d d)
#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 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 d d (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(fma.f64 b d (*.f64 a c))
d
b
(*.f64 c a)
(*.f64 a c)
c
a
(fma.f64 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 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
#s(approx (+ (* a c) (* b d)) (*.f64 b d))
(*.f64 d b)
(*.f64 b d)
d
b
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
(*.f64 d d)
#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

localize93.0ms (1.5%)

Memory
2.0MiB live, 118.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 c c)
accuracy6.6113386384284745
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))
accuracy7.015630210636451
(/.f64 d (*.f64 c c))
accuracy27.958908607919202
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
accuracy0
(*.f64 c c)
accuracy0.0078125
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy22.44365012796451
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
accuracy29.036386379540588
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
accuracy0.0078125
(fma.f64 d d (*.f64 c c))
accuracy8.363174427285
(/.f64 b (fma.f64 d d (*.f64 c c)))
accuracy10.00732961354342
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)
accuracy24.45228216023124
#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)
accuracy35.35421115877612
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
accuracy0
(*.f64 c a)
accuracy0.0078125
(fma.f64 d d (*.f64 c c))
accuracy0.24999724760556022
(fma.f64 d b (*.f64 c a))
accuracy22.44365012796451
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
Samples
77.0ms256×0valid
Compiler

Compiled 406 to 53 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 19.0ms (53.7% of total)
ival-div: 11.0ms (31.1% of total)
ival-add: 5.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series59.0ms (1%)

Memory
18.1MiB live, 54.8MiB allocated
Counts
17 → 82
Calls
Call 1
Inputs
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(fma.f64 d d (*.f64 c c))
#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)))
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#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))
(*.f64 c c)
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* b d)
(+ (* a c) (* b d))
(* a c)
(/ a c)
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ c (/ (* b d) a)))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/ b (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 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))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ 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)))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ d (pow c 2))
(pow c 2)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* c (+ a (/ (* b d) c)))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ 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))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (+ 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))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
Calls

12 calls:

TimeVariablePointExpression
33.0ms
b
@-inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* 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))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ d (* c c)) (* c c))
5.0ms
d
@inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* 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))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ d (* c c)) (* c c))
2.0ms
d
@-inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* 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))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ d (* c c)) (* c c))
2.0ms
b
@inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* 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))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ d (* c c)) (* c c))
2.0ms
c
@0
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* d d) (* c c)) (/ (+ (* 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))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ d (* c c)) b) (/ a c)) (/ d (* c c)) (* c c))

simplify164.0ms (2.7%)

Memory
-15.1MiB live, 212.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03431449
110851402
233371350
085421282
Stop Event
iter limit
node limit
Counts
82 → 82
Calls
Call 1
Inputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(* b d)
(+ (* a c) (* b d))
(* a c)
(/ a c)
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ c (/ (* b d) a)))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/ b (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 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))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ 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)))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ d (pow c 2))
(pow c 2)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(* c (+ a (/ (* b d) c)))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ 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))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (+ 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))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(* a c)
(*.f64 a c)
(/ a c)
(/.f64 a c)
(/ (* b d) (pow c 2))
(*.f64 (/.f64 b (*.f64 c c)) d)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 (/.f64 b (*.f64 c c)) d (/.f64 a c))
(/ (* 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 d a) (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 c (fma.f64 c c (*.f64 d d)))) a)
(* a (+ c (/ (* b d) a)))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 (*.f64 a (/.f64 b a)) (/.f64 d (*.f64 c c)) (/.f64 a c))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (fma.f64 (/.f64 d a) (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 c (fma.f64 c c (*.f64 d d)))) a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 (*.f64 a (/.f64 b a)) (/.f64 d (*.f64 c c)) (/.f64 a c))
(/ b (+ (pow c 2) (pow d 2)))
(/.f64 b (fma.f64 c c (*.f64 d d)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))) b)
(* b (+ d (/ (* a c) b)))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b)
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))) b)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b)
(/ 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))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (*.f64 (/.f64 b (pow.f64 d #s(literal 5 binary64))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 7 binary64))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 b d))
(/ b (pow d 2))
(/.f64 (/.f64 b d) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 b d) d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (*.f64 (/.f64 b (pow.f64 d #s(literal 6 binary64))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 b d) d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 b d) d))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (/.f64 (fma.f64 a c (*.f64 b d)) c) c)
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 b d)) c) a) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 (*.f64 d d) c) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)
(* c (+ a (/ (* b d) c)))
(*.f64 (fma.f64 (/.f64 d c) b a) 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)
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/.f64 (*.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64)))) c)
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/.f64 (*.f64 b (-.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) d) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c))) (*.f64 c c))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/.f64 (fma.f64 b (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c)))) (*.f64 c c))
(/ b (pow c 2))
(/.f64 b (*.f64 c c))
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/.f64 (/.f64 (-.f64 b (*.f64 (*.f64 d (/.f64 d (*.f64 c c))) b)) c) c)
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) b) (*.f64 c c))
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) (fma.f64 (neg.f64 (pow.f64 d #s(literal 6 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64))) b)) (*.f64 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 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 b d)) c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 b d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (fma.f64 (/.f64 d c) b a) c)
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 b (*.f64 c c))) d (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (pow.f64 c #s(literal 3 binary64))))) d (/.f64 b (*.f64 c c))) d (/.f64 a c))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(/.f64 (*.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64)))) c)
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(fma.f64 (/.f64 b c) (/.f64 d c) (*.f64 (-.f64 (*.f64 (/.f64 b (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))
(fma.f64 (/.f64 b c) (/.f64 d c) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 d) d) (/.f64 b (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64))))
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))
(/.f64 (/.f64 (-.f64 b (*.f64 (*.f64 d (/.f64 d (*.f64 c c))) b)) c) c)
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))
(fma.f64 (-.f64 (*.f64 (/.f64 b (pow.f64 c #s(literal 6 binary64))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 b (*.f64 c c)))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 d) d) (/.f64 b (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 b (*.f64 c c)))
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 a c)) d) b) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c c) d) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d))
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (fma.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))) b) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (-.f64 b (*.f64 b (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2))
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 b d) d))
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2))
(/.f64 (fma.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))) b) (*.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 (-.f64 b (*.f64 b (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) d) d)
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 a c)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(/.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 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 c d) (/.f64 c d))) b) d)
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/.f64 (-.f64 b (*.f64 b (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) d)
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 a c) d) (/.f64 b (*.f64 c c))) d)

rewrite205.0ms (3.3%)

Memory
12.2MiB live, 297.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029178
043168
1168168
21192168
08553168
Stop Event
iter limit
node limit
iter limit
Counts
17 → 585
Calls
Call 1
Inputs
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(fma.f64 d b (*.f64 c a))
(*.f64 c a)
(fma.f64 d d (*.f64 c c))
#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)))
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (+ (* a c) (* b d)) (*.f64 d b))
(*.f64 d b)
#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))
(*.f64 c c)
Outputs
(*.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))) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
(*.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))) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))))
(*.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))) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))))
(*.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))) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)) (pow.f64 (fma.f64 d d (*.f64 (neg.f64 c) c)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) #s(literal -1 binary64)) (pow.f64 (fma.f64 d d (*.f64 (neg.f64 c) c)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (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)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (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)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (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)) (pow.f64 (fma.f64 d d (*.f64 (neg.f64 c) c)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (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)) (pow.f64 (fma.f64 d d (*.f64 (neg.f64 c) c)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (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)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (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)) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (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)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64))))
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(+.f64 (*.f64 (/.f64 d (*.f64 c c)) b) (/.f64 a c))
(+.f64 (/.f64 a c) (*.f64 (/.f64 d (*.f64 c c)) b))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 d (neg.f64 c)))
(*.f64 (neg.f64 (/.f64 d c)) (/.f64 #s(literal -1 binary64) c))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 c c) d))))
(*.f64 #s(literal -1 binary64) (/.f64 d (*.f64 (neg.f64 c) c)))
(*.f64 (/.f64 d c) (pow.f64 c #s(literal -1 binary64)))
(*.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 (pow.f64 c #s(literal -1 binary64)) (/.f64 d c))
(*.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c c)))
(*.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) (*.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))) c)
(/.f64 (neg.f64 (/.f64 d c)) (neg.f64 c))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 c c) d)))
(/.f64 (/.f64 d c) c)
(/.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 (neg.f64 d) (*.f64 (neg.f64 c) c))
(/.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)))
(-.f64 #s(literal 0 binary64) (/.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 #s(literal -1 binary64) (*.f64 (neg.f64 c) c))
(*.f64 #s(literal 1 binary64) (*.f64 c c))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 (*.f64 c c) #s(literal 1 binary64))
(*.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))
(/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 c) c) #s(literal -1 binary64))
(/.f64 (*.f64 c c) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 c) c))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c) c))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))

eval123.0ms (2%)

Memory
8.2MiB live, 127.7MiB allocated
Compiler

Compiled 23 177 to 2 266 computations (90.2% saved)

prune26.0ms (0.4%)

Memory
-0.8MiB live, 73.1MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New70813721
Fresh639
Picked235
Done000
Total71619735
Accuracy
100.0%
Counts
735 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.8%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
32.1%
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (fma.f64 d d (*.f64 c c)))
40.0%
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
56.2%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
51.6%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
43.6%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
42.8%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
44.4%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
52.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
56.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
51.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
40.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b)))
44.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
44.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
40.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
27.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* d d) (* c c)) (*.f64 d d))) d))
43.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
44.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
22.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
Compiler

Compiled 865 to 539 computations (37.7% saved)

simplify27.0ms (0.4%)

Memory
-25.5MiB live, 26.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
035188
050186
166186
269182
373182
489182
589182
6125182
7154182
8163182
9181182
10218182
11260182
12278182
13286182
14326182
15384182
16392182
17404182
18438182
19452182
20455182
21458182
22459182
0459176
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(fma.f64 (/.f64 b c) d a)
(/.f64 b c)
b
c
d
a
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.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
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
(*.f64 b d)
b
d
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
d
c
b
a
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(fma.f64 (/.f64 b c) d a)
(/.f64 b c)
b
c
d
a
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 a c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 a c)
#s(literal 1 binary64)
(/.f64 c a)
c
a
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)) (fma.f64 d d (*.f64 c c)))
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
#s(approx (+ (* d b) (* c a)) (*.f64 d b))
(*.f64 b d)
(*.f64 d b)
b
d
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(fma.f64 (/.f64 d c) b a)
(fma.f64 (/.f64 b c) d a)
(/.f64 d c)
d
c
b
a

localize68.0ms (1.1%)

Memory
30.3MiB live, 107.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 d c)
accuracy0.9861461052738477
(/.f64 (fma.f64 (/.f64 d c) b a) c)
accuracy3.2439104458876242
(fma.f64 (/.f64 d c) b a)
accuracy27.958908607919202
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
accuracy0
(*.f64 b d)
accuracy0.0078125
(fma.f64 d d (*.f64 c c))
accuracy22.44365012796451
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
accuracy29.036386379540588
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
accuracy0
(/.f64 c a)
accuracy0.6379784435037928
(/.f64 #s(literal 1 binary64) (/.f64 c a))
accuracy35.35421115877612
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
accuracy0
(/.f64 b d)
accuracy36.10718931737173
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
accuracy0
(/.f64 b c)
accuracy0.9861461052738477
(/.f64 (fma.f64 (/.f64 b c) d a) c)
accuracy4.0508337725902
(fma.f64 (/.f64 b c) d a)
accuracy27.958908607919202
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Samples
50.0ms256×0valid
Compiler

Compiled 352 to 65 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 14.0ms (40.7% of total)
ival-mult: 14.0ms (40.7% of total)
ival-add: 6.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.7%)

Memory
-11.6MiB live, 26.6MiB allocated
Counts
17 → 64
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(fma.f64 (/.f64 b c) d a)
(/.f64 b c)
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.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 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
(*.f64 b d)
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
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) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) c)
(+ a (/ (* b d) c))
(/ a c)
(/ c a)
(* b d)
(+ (* a c) (* b d))
(/ (* 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 (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a c)
(* a (+ c (/ (* b d) a)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(/ b c)
(/ b d)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a b) (/ d c)))
(* b (+ d (/ (* a c) b)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) c)
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ 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 (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (+ 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)))
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* -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)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
Calls

12 calls:

TimeVariablePointExpression
24.0ms
a
@0
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c))
3.0ms
c
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c))
2.0ms
b
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c))
2.0ms
d
@-inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c))
2.0ms
b
@inf
((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ b d) (/ 1 (/ c a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ c a) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c))

simplify159.0ms (2.6%)

Memory
-4.7MiB live, 150.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0241822
1815812
22563786
36293778
08084727
Stop Event
iter limit
node limit
Counts
64 → 63
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) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) c)
(+ a (/ (* b d) c))
(/ a c)
(/ c a)
(* b d)
(+ (* a c) (* b d))
(/ (* 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 (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a c)
(* a (+ c (/ (* b d) a)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(/ b c)
(/ b d)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a b) (/ d c)))
(* b (+ d (/ (* a c) b)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) c)
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ 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 (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(/ (+ 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)))
(* d (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* -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)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a))
(/ (* b d) (pow c 2))
(*.f64 (/.f64 (/.f64 b c) c) d)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(+ a (/ (* b d) c))
(fma.f64 (/.f64 d c) b a)
(/ a c)
(/.f64 a c)
(/ c a)
(/.f64 c a)
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(fma.f64 d b (*.f64 c a))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 d a) (/.f64 c (fma.f64 d d (*.f64 c c)))) a)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 b (*.f64 (/.f64 (/.f64 (/.f64 d c) a) c) a) (/.f64 a c))
a
(* a (+ 1 (/ (* b d) (* a c))))
(fma.f64 (/.f64 (*.f64 d b) a) (/.f64 a c) a)
(* a c)
(*.f64 c a)
(* a (+ c (/ (* b d) a)))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (fma.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 d a) (/.f64 c (fma.f64 d d (*.f64 c c)))) a)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 b (*.f64 (/.f64 (/.f64 (/.f64 d c) a) c) a) (/.f64 a c))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(fma.f64 (/.f64 (*.f64 d b) a) (/.f64 a c) a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 (fma.f64 (/.f64 d a) b c) a)
(/ b c)
(/.f64 b c)
(/ b d)
(/.f64 b d)
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 c b) (/.f64 d (fma.f64 d d (*.f64 c c)))) 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)
(* b (+ d (/ (* a c) b)))
(*.f64 (fma.f64 (/.f64 a b) c d) b)
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 c b) (/.f64 d (fma.f64 d d (*.f64 c c)))) 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)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (fma.f64 (/.f64 a b) c d) b)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 (fma.f64 (/.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))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (/.f64 (fma.f64 d b (*.f64 c a)) c) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 d b (*.f64 c a)) c)
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c 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 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 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c)
(* c (+ a (/ (* b d) c)))
(*.f64 (fma.f64 (/.f64 d c) b a) c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c)
(* -1 (/ (+ (* -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 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 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (fma.f64 (/.f64 d c) b a) c)
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) 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))
(/ (+ 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 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 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 b c) 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 c) d) (/.f64 (/.f64 b c) c)) d)
(* d (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 c d) a b) d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 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 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 b c) 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 c) d) (/.f64 (/.f64 b c) c)) d)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (fma.f64 (/.f64 c d) a b) d)

rewrite187.0ms (3.1%)

Memory
11.6MiB live, 165.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035169
050167
1210163
21198163
08410157
Stop Event
iter limit
node limit
iter limit
Counts
17 → 526
Calls
Call 1
Inputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(/.f64 (fma.f64 (/.f64 b c) d a) c)
(fma.f64 (/.f64 b c) d a)
(/.f64 b c)
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.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 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
(*.f64 b d)
(fma.f64 d d (*.f64 c c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(fma.f64 (/.f64 d c) b a)
(/.f64 d c)
Outputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(*.f64 (*.f64 (pow.f64 c #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) (pow.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 c #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 b c) d a))) (/.f64 #s(literal -1 binary64) c))
(*.f64 (pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) c) (/.f64 (fma.f64 (/.f64 b c) d a) (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 c (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 c (+.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) c) (pow.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) c) (pow.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a)))))
(*.f64 (pow.f64 c #s(literal -1 binary64)) (fma.f64 (/.f64 b c) d a))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) c)))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) c))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b c) d a) c))
(*.f64 (/.f64 (fma.f64 (/.f64 b c) d a) c) (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) (fma.f64 (/.f64 d c) b (neg.f64 a))))
(*.f64 (fma.f64 (/.f64 b c) d a) (pow.f64 c #s(literal -1 binary64)))
(pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) c)) (fma.f64 (neg.f64 d) (/.f64 b c) a))
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) c)) (neg.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) c) (fma.f64 (/.f64 d c) b (neg.f64 a)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) c) (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (*.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (*.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (*.f64 c (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c))
(/.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (*.f64 (/.f64 d c) b)) (-.f64 (*.f64 a a) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 d c) b) (fma.f64 (/.f64 d c) b (neg.f64 a)))) (+.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)))
(fma.f64 (*.f64 (*.f64 d b) #s(literal 1 binary64)) (pow.f64 c #s(literal -1 binary64)) a)
(fma.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 b) c) a)
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) c) a)
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 d c) a)
(fma.f64 (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 d c) b))
(fma.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal -1 binary64) c) a)
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 b (pow.f64 d #s(literal -1 binary64))) a)
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 d (pow.f64 b #s(literal -1 binary64))) a)
(fma.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (/.f64 d c) b (neg.f64 a)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 a) (*.f64 (/.f64 d c) b))
(fma.f64 (/.f64 d c) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))) a)
(fma.f64 (/.f64 d c) b a)
(fma.f64 (*.f64 d b) (pow.f64 c #s(literal -1 binary64)) a)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 d c) b) a)
(fma.f64 #s(literal 1 binary64) a (*.f64 (/.f64 d c) b))
(fma.f64 (/.f64 b c) d a)
(fma.f64 d (/.f64 b c) a)
(fma.f64 b (/.f64 d c) a)
(fma.f64 a #s(literal 1 binary64) (*.f64 (/.f64 d c) b))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 (/.f64 d c) b))) (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (-.f64 a (*.f64 (/.f64 d c) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (fma.f64 (/.f64 d c) b (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (/.f64 d c) b (neg.f64 a))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 b c) d a)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (fma.f64 (/.f64 d c) b (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 (/.f64 d c) b (neg.f64 a)))))
(+.f64 (*.f64 (/.f64 d c) b) a)
(+.f64 a (*.f64 (/.f64 d c) b))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 d)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 c #s(literal -1 binary64)) d)
(*.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) c))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) c))
(*.f64 #s(literal 1 binary64) (/.f64 d c))
(*.f64 d (pow.f64 c #s(literal -1 binary64)))
(pow.f64 (/.f64 c d) #s(literal -1 binary64))
(/.f64 (neg.f64 d) (neg.f64 c))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) d))
(/.f64 #s(literal 1 binary64) (/.f64 c d))
(/.f64 d c)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 c d)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) c)))
(neg.f64 (/.f64 (neg.f64 d) c))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (neg.f64 d) c))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 d) c))
(exp.f64 (*.f64 (log.f64 (/.f64 c d)) #s(literal -1 binary64)))

eval91.0ms (1.5%)

Memory
11.7MiB live, 97.8MiB allocated
Compiler

Compiled 13 796 to 1 404 computations (89.8% saved)

prune23.0ms (0.4%)

Memory
-24.7MiB live, 47.3MiB allocated
Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New4247431
Fresh3811
Picked145
Done033
Total42822450
Accuracy
100.0%
Counts
450 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.8%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
32.1%
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (fma.f64 d d (*.f64 c c)))
27.2%
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
22.8%
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
56.2%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
51.6%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
43.6%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
42.8%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
42.8%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
44.4%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
43.4%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
52.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
56.4%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
51.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
25.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c))
44.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
44.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
40.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
43.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
44.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
22.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* d d) (* c c))) (/.f64 b (*.f64 c c))) d))
24.9%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
Compiler

Compiled 933 to 591 computations (36.7% saved)

simplify194.0ms (3.2%)

Memory
14.5MiB live, 63.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
cost-diff0
(/.f64 (/.f64 b c) c)
cost-diff0
(*.f64 (/.f64 (/.f64 b c) c) d)
cost-diff0
#s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
cost-diff0
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
cost-diff0
(*.f64 b d)
cost-diff0
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
cost-diff0
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
cost-diff0
(neg.f64 a)
cost-diff0
(/.f64 #s(literal -1 binary64) c)
cost-diff0
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))
cost-diff0
(/.f64 c d)
cost-diff0
(fma.f64 (/.f64 c d) a b)
cost-diff0
(/.f64 (fma.f64 (/.f64 c d) a b) d)
cost-diff0
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044257
061253
188251
2114247
3153247
4305247
5655247
61273247
72067247
83030247
93549247
103763247
113780247
123785247
133801247
143909247
154138247
164230247
174254247
184254247
194254247
204258247
04258239
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
c
d
a
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))
(/.f64 #s(literal -1 binary64) c)
#s(literal -1 binary64)
c
(neg.f64 a)
a
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
(*.f64 b d)
b
d
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* (/ b c) d) 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
#s(approx (/ (+ (* d b) (* c a)) (+ (* 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
Outputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
c
d
a
b
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))
(/.f64 a c)
(/.f64 #s(literal -1 binary64) c)
#s(literal -1 binary64)
c
(neg.f64 a)
a
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
(*.f64 b d)
b
d
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
(*.f64 c c)
c
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* (/ b c) d) 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
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
(/.f64 c (fma.f64 c c (*.f64 d d)))
c
(fma.f64 c c (*.f64 d d))
(*.f64 d d)
d
a

localize131.0ms (2.1%)

Memory
-6.7MiB live, 157.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 d d)
accuracy3.4206627459474523
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)
accuracy19.135216388697362
(/.f64 c (fma.f64 c c (*.f64 d d)))
accuracy26.76331890319506
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
accuracy0.09765625
(/.f64 (/.f64 b c) c)
accuracy5.058678284516489
(*.f64 (/.f64 (/.f64 b c) c) d)
accuracy24.44493664633199
#s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))
accuracy27.958908607919202
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
accuracy0
(*.f64 b d)
accuracy22.44365012796451
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
accuracy27.046037228257795
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
accuracy29.036386379540588
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
accuracy0
(/.f64 #s(literal -1 binary64) c)
accuracy0
(neg.f64 a)
accuracy0.1640625
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))
accuracy35.35421115877612
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
accuracy0
(/.f64 c d)
accuracy0.9988071569659709
(/.f64 (fma.f64 (/.f64 c d) a b) d)
accuracy4.214806592848786
(fma.f64 (/.f64 c d) a b)
accuracy30.6085087346029
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
Samples
112.0ms256×0valid
Compiler

Compiled 456 to 78 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-div: 27.0ms (36.8% of total)
ival-mult: 26.0ms (35.4% of total)
ival-neg: 13.0ms (17.7% of total)
ival-add: 8.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series98.0ms (1.6%)

Memory
-11.8MiB live, 61.8MiB allocated
Counts
21 → 105
Calls
Call 1
Inputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
(/.f64 #s(literal -1 binary64) c)
(neg.f64 a)
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
(*.f64 b d)
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))
(*.f64 (/.f64 (/.f64 b c) c) d)
(/.f64 (/.f64 b c) c)
#s(approx (/ (+ (* d b) (* c a)) (+ (* 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 d d)
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
b
(+ b (/ (* a c) d))
(/ a c)
(* -1 a)
(* b d)
(+ (* a c) (* b d))
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/ b (pow c 2))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 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 d)
(/ -1 c)
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(/ 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))))
(/ (+ 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)))
(* c (+ a (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (+ 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)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -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))
(+ (* 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)
(+ (* -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 (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/ (+ 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))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
Calls

12 calls:

TimeVariablePointExpression
59.0ms
b
@0
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (/ -1 c) (neg a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ -1 c) (neg a) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* d d))
9.0ms
c
@-inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (/ -1 c) (neg a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ -1 c) (neg a) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* d d))
5.0ms
d
@inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (/ -1 c) (neg a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ -1 c) (neg a) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* d d))
3.0ms
c
@0
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (/ -1 c) (neg a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ -1 c) (neg a) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* d d))
3.0ms
c
@inf
((/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (* (/ -1 c) (neg a)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ -1 c) (neg a) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* b d) (+ (* d d) (* c c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (* d d))

simplify150.0ms (2.5%)

Memory
23.3MiB live, 211.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04321644
113881598
242431547
081601470
Stop Event
iter limit
node limit
Counts
105 → 104
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)
(* -1 a)
(* b d)
(+ (* a c) (* b d))
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/ b (pow c 2))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ d (/ (* a c) b)))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 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 d)
(/ -1 c)
(pow d 2)
(+ (pow c 2) (pow d 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(/ 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))))
(/ (+ 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)))
(* c (+ a (/ (* b d) c)))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(/ (+ 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)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -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))
(+ (* 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)
(+ (* -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 (+ b (/ (* a c) d)))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2))
(/ (+ 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))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
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)
(* -1 a)
(neg.f64 a)
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(/ (* 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))
(/ (* 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 c)
(*.f64 a c)
(* a (+ c (/ (* b d) a)))
(*.f64 (fma.f64 d (/.f64 b a) c) a)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(fma.f64 (*.f64 a b) (/.f64 (/.f64 d (*.f64 c c)) a) (/.f64 a c))
(* -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 c) (* -1 (/ (* b d) a)))))
(*.f64 (fma.f64 d (/.f64 b a) c) a)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(fma.f64 (*.f64 a b) (/.f64 (/.f64 d (*.f64 c c)) a) (/.f64 a c))
(/ b (pow c 2))
(/.f64 (/.f64 b c) 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 (+ d (/ (* a c) b)))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b)
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 c b) (/.f64 d (fma.f64 c c (*.f64 d d)))) b)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(*.f64 (neg.f64 b) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 a c) d) b)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 (fma.f64 (/.f64 c b) a d) b)
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) 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)
(/ -1 c)
(/.f64 #s(literal -1 binary64) 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 a c (*.f64 b d)) c) c)
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(fma.f64 (/.f64 (neg.f64 a) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (*.f64 (/.f64 a (*.f64 d d)) 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 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 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))))
(fma.f64 (/.f64 a d) (/.f64 c d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 a (pow.f64 d #s(literal 4 binary64))))))
(/ c (pow d 2))
(/.f64 c (*.f64 d d))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) d) (/.f64 c (*.f64 d d)))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (/.f64 c (*.f64 d d)))
(* 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 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (/.f64 c (*.f64 d d)))
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 b d)) c) a) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 (*.f64 d d) c) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c)
(* c (+ (/ a d) (/ b c)))
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) c)
(* c (+ a (/ (* b d) c)))
(*.f64 (fma.f64 d (/.f64 b c) a) 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)
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/.f64 (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) (neg.f64 a) a) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 a (fma.f64 (/.f64 (neg.f64 d) c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) 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 (fma.f64 a (-.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.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 c #s(literal 4 binary64)))) (neg.f64 a)) (neg.f64 c))
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/.f64 (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c)
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/.f64 (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 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 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64))) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 b d)) c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 (/.f64 (fma.f64 b d (/.f64 (fma.f64 (*.f64 a d) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c)
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 (fma.f64 d (/.f64 b c) a) c)
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(/.f64 (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) (neg.f64 a) a) c)
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(/.f64 (fma.f64 a (fma.f64 (/.f64 (neg.f64 d) c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) a) 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 (-.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.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 c #s(literal 4 binary64)))) (neg.f64 a)) (neg.f64 c))
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))
(/.f64 (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c)
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))
(/.f64 (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64))) 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 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64))) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) 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)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(/.f64 (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) (neg.f64 a) 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 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 d) d) (/.f64 a (pow.f64 c #s(literal 7 binary64))) (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (*.f64 d d)) (/.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 (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) 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 d (/.f64 d (pow.f64 c #s(literal 5 binary64))) (+.f64 (/.f64 (neg.f64 (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 7 binary64))) (/.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 a d) c b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 a c)) d) b) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d)
(* d (+ b (/ (* a c) d)))
(*.f64 (fma.f64 (/.f64 a d) c b) 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 (/.f64 b c) c)) d)
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/.f64 (*.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) d)
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (/.f64 (*.f64 a (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (-.f64 c (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)))) d) 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 (fma.f64 a (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)))) (*.f64 d 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 (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)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 (/.f64 a d) c b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 a c)) d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 (/.f64 (fma.f64 a c (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 (fma.f64 (/.f64 a d) c 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)

rewrite165.0ms (2.7%)

Memory
9.4MiB live, 130.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044235
061231
1232229
21471225
08248217
Stop Event
iter limit
node limit
iter limit
Counts
21 → 420
Calls
Call 1
Inputs
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(/.f64 (fma.f64 (/.f64 c d) a b) d)
(fma.f64 (/.f64 c d) a b)
(/.f64 c d)
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
(/.f64 #s(literal -1 binary64) c)
(neg.f64 a)
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
#s(approx (+ (* d b) (* c a)) (*.f64 b d))
(*.f64 b d)
#s(approx (+ (* d d) (* c c)) (*.f64 c c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))
(*.f64 (/.f64 (/.f64 b c) c) d)
(/.f64 (/.f64 b c) c)
#s(approx (/ (+ (* d b) (* c a)) (+ (* 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 d d)
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(*.f64 (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) d) (/.f64 (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 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) d) (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) d) (pow.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))))
(*.f64 (pow.f64 d #s(literal -1 binary64)) (fma.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))) (/.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))) d)))
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 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)) (/.f64 #s(literal -1 binary64) d))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 c d) a b) d))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.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 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)) d)) (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))) d)) (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)))))
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(/.f64 c (fma.f64 c c (*.f64 d d)))
(neg.f64 (/.f64 (neg.f64 c) (fma.f64 c c (*.f64 d d))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) (/.f64 (neg.f64 c) (fma.f64 c c (*.f64 d d))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 c) (fma.f64 c c (*.f64 d d))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (+.f64 d c)) (+.f64 d c))
(*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (+.f64 c d)) (+.f64 c d))
(*.f64 (neg.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
(*.f64 (fma.f64 c c (*.f64 d d)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 c c (*.f64 d d))))
(pow.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))))) (+.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))))) (+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) (fma.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 (-.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (neg.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (+.f64 d c) (-.f64 d c)))
(/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (+.f64 c d) (-.f64 c d)))
(/.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 c d) #s(literal 2 binary64))) (pow.f64 d #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 c d) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)))
(/.f64 (fma.f64 c c (*.f64 d d)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64))))
(neg.f64 (neg.f64 (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c c) (+.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 c d)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (+.f64 d c)) (/.f64 d (-.f64 d c)) (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (/.f64 (*.f64 d d) (+.f64 d c)) (/.f64 (*.f64 d d) (-.f64 d c)) (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (/.f64 d (+.f64 d c)) (/.f64 (pow.f64 d #s(literal 3 binary64)) (-.f64 d c)) (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d))
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c))
(fma.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(-.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))))
(-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d))))
(+.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) (neg.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(+.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 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)))

eval74.0ms (1.2%)

Memory
-26.9MiB live, 60.2MiB allocated
Compiler

Compiled 17 131 to 1 987 computations (88.4% saved)

prune27.0ms (0.4%)

Memory
9.4MiB live, 47.8MiB allocated
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New48412496
Fresh5510
Picked235
Done167
Total49226518
Accuracy
100.0%
Counts
518 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.8%
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
32.1%
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (fma.f64 d d (*.f64 c c)))
41.6%
(/.f64 #s(approx (+ (* d b) (* c a)) (fma.f64 a c (*.f64 b d))) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
40.0%
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (fma.f64 c c (*.f64 d d))))
22.8%
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
56.2%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
51.6%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
51.3%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
19.4%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
43.6%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
50.8%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
42.8%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
32.1%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.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))))
44.4%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
43.4%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
17.5%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 c (*.f64 d d))) a))
44.7%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
19.2%
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
52.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))
25.2%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c))
44.8%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
44.0%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
40.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
25.5%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (/.f64 d (*.f64 (/.f64 c b) c))))
22.7%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b)))
26.3%
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d c) (/.f64 b c))))
Compiler

Compiled 1 931 to 644 computations (66.6% saved)

regimes72.0ms (1.2%)

Memory
22.9MiB live, 97.5MiB allocated
Counts
47 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b)))
#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))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 c (*.f64 d d))) a))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (/.f64 d (*.f64 (/.f64 c b) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (fma.f64 a c (*.f64 b d))) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b)))
#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 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
#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))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (*.f64 (*.f64 b c) c) d)) d)) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.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 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (fma.f64 d d (*.f64 c c)))
(/.f64 (/.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 c c) (*.f64 d d)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Calls

5 calls:

16.0ms
d
14.0ms
b
13.0ms
a
13.0ms
c
13.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
68.7%3a
73.2%4b
86.9%5c
84.1%4d
78.9%2(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 27 computations (-42.1% saved)

regimes22.0ms (0.4%)

Memory
-40.4MiB live, 11.7MiB allocated
Counts
41 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b)))
#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))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 c (*.f64 d d))) a))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (/.f64 d (*.f64 (/.f64 c b) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (fma.f64 a c (*.f64 b d))) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b)))
#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 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Calls

1 calls:

20.0ms
c
Results
AccuracySegmentsBranch
86.9%5c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes27.0ms (0.4%)

Memory
4.9MiB live, 42.1MiB allocated
Counts
39 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b)))
#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))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 c (*.f64 d d))) a))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (/.f64 d (*.f64 (/.f64 c b) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (fma.f64 a c (*.f64 b d))) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) b a) c))
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 d (/.f64 (fma.f64 d d (*.f64 c c)) b)))
#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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Calls

2 calls:

14.0ms
d
11.0ms
c
Results
AccuracySegmentsBranch
81.8%3d
82.0%3c
Compiler

Compiled 2 to 8 computations (-300% saved)

regimes11.0ms (0.2%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
32 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b)))
#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))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 c (*.f64 d d))) a))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (/.f64 d (*.f64 (/.f64 c b) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (fma.f64 a c (*.f64 b d))) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c))
Calls

1 calls:

9.0ms
c
Results
AccuracySegmentsBranch
81.8%3c
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes30.0ms (0.5%)

Memory
6.4MiB live, 43.3MiB allocated
Counts
30 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b)))
#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))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 c (*.f64 d d))) a))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (/.f64 d (*.f64 (/.f64 c b) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (fma.f64 a c (*.f64 b d))) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))
Outputs
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 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 a c))
Calls

3 calls:

12.0ms
c
9.0ms
d
8.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
66.0%4(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
74.5%3d
76.8%3c
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes34.0ms (0.5%)

Memory
4.3MiB live, 41.7MiB allocated
Counts
29 → 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 (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 b d))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) a))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b)))
#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))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 a (*.f64 d d)) c)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 c (*.f64 d d))) a))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a)))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d b)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d c) (/.f64 b c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 (/.f64 b c) c) d)))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (/.f64 d (*.f64 (/.f64 c b) c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ b c) d) a) (/.f64 (*.f64 d b) c)) c))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 a c) d)) d))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) #s(approx (+ (* d d) (* c c)) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(/.f64 #s(approx (+ (* d b) (* c a)) (fma.f64 a c (*.f64 b d))) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))
Outputs
#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))
Calls

3 calls:

15.0ms
d
9.0ms
b
8.0ms
c
Results
AccuracySegmentsBranch
65.9%5b
71.6%5d
70.0%3c
Compiler

Compiled 3 to 12 computations (-300% saved)

regimes44.0ms (0.7%)

Memory
-27.6MiB live, 15.2MiB 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:

38.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
1.0ms
b
1.0ms
c
1.0ms
d
1.0ms
a
Results
AccuracySegmentsBranch
44.8%1b
44.8%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
44.8%1d
44.8%1a
44.8%1c
Compiler

Compiled 19 to 27 computations (-42.1% saved)

bsearch84.0ms (1.4%)

Memory
3.2MiB live, 115.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.999918160225503e-54
7.833955766967689e-53
11.0ms
-1.0639828866135366e-126
-1.4852937481117475e-128
17.0ms
-4.199795705368806e+116
-5.5469818938466156e+110
19.0ms
-2.9295739305974412e+137
-3.043293109711087e+125
Samples
37.0ms528×0valid
Compiler

Compiled 1 464 to 1 016 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 13.0ms (61.5% of total)
ival-add: 4.0ms (18.9% of total)
ival-div: 3.0ms (14.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.999918160225503e-54
7.833955766967689e-53
1.0ms
-1.0639828866135366e-126
-1.4852937481117475e-128
1.0ms
-4.199795705368806e+116
-5.5469818938466156e+110
1.0ms
-2.9295739305974412e+137
-3.043293109711087e+125
Compiler

Compiled 1 426 to 978 computations (31.4% saved)

bsearch19.0ms (0.3%)

Memory
21.3MiB live, 21.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.999918160225503e-54
7.833955766967689e-53
16.0ms
-3.395182200555676e+51
-1.299077657671157e+40
Samples
10.0ms160×0valid
Compiler

Compiled 834 to 562 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (63.5% of total)
ival-div: 1.0ms (15.9% of total)
ival-add: 1.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.999918160225503e-54
7.833955766967689e-53
1.0ms
-3.395182200555676e+51
-1.299077657671157e+40
Compiler

Compiled 834 to 562 computations (32.6% saved)

bsearch30.0ms (0.5%)

Memory
-36.9MiB live, 13.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.999918160225503e-54
7.833955766967689e-53
28.0ms
-2.9295739305974412e+137
-3.043293109711087e+125
Samples
22.0ms144×0valid
Compiler

Compiled 749 to 528 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-add: 14.0ms (75.8% of total)
ival-mult: 4.0ms (21.6% of total)
ival-div: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.4%)

Memory
19.9MiB live, 19.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
5.58575209772287e-72
5.558877149801386e-69
7.0ms
-2.9295739305974412e+137
-3.043293109711087e+125
Samples
12.0ms192×0valid
Compiler

Compiled 702 to 522 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (67.1% of total)
ival-add: 2.0ms (26.8% of total)
ival-div: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify29.0ms (0.5%)

Memory
-5.8MiB live, 32.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070566
174566
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 c #s(literal -309999999999999999255014896516592420927861698826435385852712520909711960782489164956187324166714529914484702602012764114255872 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -479999999999999966457568652462611069664319912066708887645563049359067031975883867380574252170924214443706945634304 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b)))) (if (<=.f64 c #s(literal -5853278531842485/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a 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 -309999999999999999255014896516592420927861698826435385852712520909711960782489164956187324166714529914484702602012764114255872 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -479999999999999966457568652462611069664319912066708887645563049359067031975883867380574252170924214443706945634304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal -5853278531842485/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a 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 -279999999999999987937944528239330750560831799296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a 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 -279999999999999987937944528239330750560831799296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #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))))
(if (<=.f64 c #s(literal -470000000000000025635421388369604186264776635600914400493125192017043968923534816241238725311554602748555412705175978893782319890432 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
(if (<=.f64 c #s(literal -300000000000000013009672699266174654017598695052190995627123376141479412678997252558601588794846715676587177906715251140148034797568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 5342339453620755/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))
Outputs
(if (<=.f64 c #s(literal -309999999999999999255014896516592420927861698826435385852712520909711960782489164956187324166714529914484702602012764114255872 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -479999999999999966457568652462611069664319912066708887645563049359067031975883867380574252170924214443706945634304 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b)))) (if (<=.f64 c #s(literal -5853278531842485/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a 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 -309999999999999999255014896516592420927861698826435385852712520909711960782489164956187324166714529914484702602012764114255872 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -479999999999999966457568652462611069664319912066708887645563049359067031975883867380574252170924214443706945634304 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b)))) (if (<=.f64 c #s(literal -5853278531842485/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (/.f64 (fma.f64 d b (*.f64 a c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a 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 -309999999999999999255014896516592420927861698826435385852712520909711960782489164956187324166714529914484702602012764114255872 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -479999999999999966457568652462611069664319912066708887645563049359067031975883867380574252170924214443706945634304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal -5853278531842485/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a 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 -309999999999999999255014896516592420927861698826435385852712520909711960782489164956187324166714529914484702602012764114255872 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal -479999999999999966457568652462611069664319912066708887645563049359067031975883867380574252170924214443706945634304 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 c #s(literal -5853278531842485/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) (/.f64 (fma.f64 d b (*.f64 a c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a 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 -279999999999999987937944528239330750560831799296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 c d) a 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 -279999999999999987937944528239330750560831799296 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #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))))
(if (<=.f64 c #s(literal -470000000000000025635421388369604186264776635600914400493125192017043968923534816241238725311554602748555412705175978893782319890432 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
(if (<=.f64 c #s(literal -300000000000000013009672699266174654017598695052190995627123376141479412678997252558601588794846715676587177906715251140148034797568 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 5342339453620755/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))

soundness662.0ms (10.8%)

Memory
3.0MiB live, 440.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03431449
110851402
233371350
085421282
0186593
1618583
21892559
35765557
08305512
01132
01832
15832
243532
3507332
0876028
044235
061231
1232229
21471225
08248217
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 026 to 290 computations (71.7% saved)

preprocess55.0ms (0.9%)

Memory
-7.8MiB live, 104.7MiB allocated
Compiler

Compiled 1 234 to 202 computations (83.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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