Complex division, real part

Time bar (total: 9.9s)

analyze34.0ms (0.3%)

Memory
-25.2MiB live, 35.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.0s (10.2%)

Memory
15.6MiB live, 1 657.2MiB allocated
Samples
608.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 368.0ms
ival-mult: 247.0ms (67.1% of total)
ival-add: 64.0ms (17.4% of total)
ival-div: 49.0ms (13.3% of total)
ival-true: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess335.0ms (3.4%)

Memory
15.8MiB live, 55.4MiB allocated
Algorithm
2×egg-herbie
Rules
2 276×times-frac
1 320×div-sub
1 052×distribute-rgt-in
1 014×distribute-lft-in
984×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062233
1131225
2208225
3380225
4928225
52424225
63271225
74118225
84999225
95393225
105521225
115690225
125690225
135690225
145690225
156050225
167020225
177172225
187184225
197188225
207196225
217204225
227204225
237312225
247360225
257360225
01115
11515
01513
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
Outputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
Call 2
Inputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d)))
(/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d)))
(/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d)))
(/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d))))
(neg (/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d))))
(neg (/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d))))
(neg (/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d))))
(neg (/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d)))))
(/ (+ (* b c) (* a d)) (+ (* c c) (* d d)))
(/ (+ (* c a) (* b d)) (+ (* a a) (* d d)))
(/ (+ (* d c) (* b a)) (+ (* c c) (* a a)))
(/ (+ (* a b) (* c d)) (+ (* b b) (* d d)))
(/ (+ (* a c) (* d b)) (+ (* c c) (* b b)))
(/ (+ (* a d) (* b c)) (+ (* d d) (* c c)))
Outputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d)))
(/ (- (* b d) (* a c)) (+ (* c c) (* d d)))
(/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d)))
(/ (- (* a c) (* b d)) (+ (* c c) (* d d)))
(/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d)))
(/ (- (* b d) (* a c)) (+ (* c c) (* d d)))
(/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d))))
(/ (- (* a c) (* b d)) (+ (* c c) (* d d)))
(neg (/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d))))
(/ (- (* a c) (* b d)) (+ (* c c) (* d d)))
(neg (/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d))))
(/ (- (* b d) (* a c)) (+ (* c c) (* d d)))
(neg (/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d))))
(/ (- (* a c) (* b d)) (+ (* c c) (* d d)))
(neg (/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d)))))
(/ (- (* b d) (* a c)) (+ (* c c) (* d d)))
(/ (+ (* b c) (* a d)) (+ (* c c) (* d d)))
(/ (+ (* c b) (* a d)) (+ (* c c) (* d d)))
(/ (+ (* c a) (* b d)) (+ (* a a) (* d d)))
(/ (+ (* a c) (* b d)) (+ (* d d) (* a a)))
(/ (+ (* d c) (* b a)) (+ (* c c) (* a a)))
(/ (+ (* a b) (* c d)) (+ (* c c) (* a a)))
(/ (+ (* a b) (* c d)) (+ (* b b) (* d d)))
(/ (+ (* a b) (* c d)) (+ (* d d) (* b b)))
(/ (+ (* a c) (* d b)) (+ (* c c) (* b b)))
(/ (+ (* a c) (* b d)) (+ (* c c) (* b b)))
(/ (+ (* a d) (* b c)) (+ (* d d) (* c c)))
(/ (+ (* c b) (* a d)) (+ (* c c) (* d d)))

explain163.0ms (1.6%)

Memory
14.4MiB live, 175.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
890-3(-7.627349298043116e-42 -3.615846397789925e-206 3.3143256172920733e-158 8.402888683996062e-258)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
00-0-d
00-0-(*.f64 d d)
00-0-(*.f64 c c)
00-0-(*.f64 a c)
00-0-c
00-0-b
00-0-(*.f64 b d)
00-0-(+.f64 (*.f64 a c) (*.f64 b d))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/o390
↳(+.f64 (*.f64 a c) (*.f64 b d))overflow52
↳(*.f64 a c)overflow24
↳(*.f64 b d)overflow29
↳(+.f64 (*.f64 c c) (*.f64 d d))overflow101
↳(*.f64 c c)overflow55
↳(*.f64 d d)overflow58
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o300
↳(+.f64 (*.f64 c c) (*.f64 d d))overflow101
↳(*.f64 c c)overflow55
↳(*.f64 d d)overflow58
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n130
↳(+.f64 (*.f64 a c) (*.f64 b d))overflow52
↳(*.f64 a c)overflow24
↳(*.f64 b d)overflow29
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u20
↳(+.f64 (*.f64 c c) (*.f64 d d))underflow11
↳(*.f64 c c)underflow59
↳(*.f64 d d)underflow67
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u10
↳(+.f64 (*.f64 a c) (*.f64 b d))underflow2
↳(*.f64 a c)underflow28
↳(*.f64 b d)underflow31
↳(+.f64 (*.f64 c c) (*.f64 d d))underflow11
↳(*.f64 c c)underflow59
↳(*.f64 d d)underflow67
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/n10
↳(+.f64 (*.f64 a c) (*.f64 b d))underflow2
↳(*.f64 a c)underflow28
↳(*.f64 b d)underflow31
Confusion
Predicted +Predicted -
+863
-0167
Precision
1.0
Recall
0.9662921348314607
Confusion?
Predicted +Predicted MaybePredicted -
+8603
-00167
Precision?
1.0
Recall?
0.9662921348314607
Freqs
test
numberfreq
0170
186
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms512×0valid
Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 41.0ms (83.8% of total)
ival-add: 4.0ms (8.2% of total)
ival-div: 3.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶67.8%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify4.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
1×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))
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
12×accelerator-lowering-fma.f32
12×accelerator-lowering-fma.f64
8×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
11545
01541
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(+ (* a c) (* b d))
(* a c)
a
c
(* b d)
b
d
(+ (* c c) (* d d))
(* c c)
(* d d)
Outputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(* a c)
(*.f64 a c)
a
c
(* b d)
(*.f64 b d)
b
d
(+ (* c c) (* d d))
(fma.f64 c c (*.f64 d d))
(* c c)
(*.f64 c c)
(* d d)
(*.f64 d d)

localize131.0ms (1.3%)

Memory
-10.9MiB live, 35.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 a c)
✓accuracy100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
✓accuracy100.0%
(+.f64 (*.f64 a c) (*.f64 b d))
✓accuracy68.1%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
121.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (61.1% of total)
ival-div: 2.0ms (20.4% of total)
ival-add: 2.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series154.0ms (1.6%)

Memory
-17.1MiB live, 21.5MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#<alt (+ (* a c) (* b d))>
#<alt (+ (* c c) (* d d))>
#<alt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))>
#<alt (* a c)>
Outputs
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
Calls

36 calls:

TimeVariablePointExpression
141.0ms
d
@0
(+ (* a c) (* b d))
1.0ms
c
@0
(* a c)
1.0ms
c
@inf
(+ (* c c) (* d d))
1.0ms
a
@0
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.0ms
b
@0
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite382.0ms (3.9%)

Memory
-32.0MiB live, 668.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 970×accelerator-lowering-fma.f32
5 970×accelerator-lowering-fma.f64
5 332×*-lowering-*.f32
5 332×*-lowering-*.f64
2 426×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
15132
242832
3506232
0875228
Stop Event
1×iter limit
1×node limit
Counts
4 → 339
Calls
Call 1
Inputs
(+ (* a c) (* b d))
(+ (* c c) (* d d))
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(* a c)
Outputs
(+.f64 (*.f64 a c) (*.f64 b d))
(+.f64 (*.f64 b d) (*.f64 a c))
(+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b d))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
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(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 d c)))) (*.f64 (+.f64 c d) (-.f64 d c)))
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (fma.f64 c c (*.f64 d d))) (fma.f64 (*.f64 a c) (*.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (*.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))) (fma.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (-.f64 (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))))
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d)))
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (-.f64 (*.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d)) (*.f64 a (*.f64 a (*.f64 c c)))))
(exp.f64 (log.f64 (*.f64 a c)))
(exp.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 1 binary64)))
(pow.f64 (*.f64 a c) #s(literal 1 binary64))
(*.f64 a c)
(*.f64 c a)
(*.f64 c (exp.f64 (log.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) c)

simplify292.0ms (2.9%)

Memory
42.8MiB live, 471.9MiB allocated
Algorithm
1×egg-herbie
Rules
7 676×accelerator-lowering-fma.f32
7 676×accelerator-lowering-fma.f64
4 326×*-lowering-*.f32
4 326×*-lowering-*.f64
1 822×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861356
16181346
218921322
357631320
081851190
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* 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 c 2) (pow d 2))) (/ (* b d) (* a (+ (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 c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (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))
(/ 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)
(/ a 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) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (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 (+ (pow c 2) (pow d 2))) (/ (* a 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) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a 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))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b 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))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
Outputs
(* b d)
(fma.f64 b d #s(literal 0 binary64))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* a (+ c (/ (* b d) a)))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* b d)
(fma.f64 b d #s(literal 0 binary64))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* c (+ a (/ (* b d) c)))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* b d)
(fma.f64 b d #s(literal 0 binary64))
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* b (+ d (/ (* a c) b)))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* b d)
(fma.f64 b d #s(literal 0 binary64))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* b d)
(fma.f64 b d #s(literal 0 binary64))
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* d (+ b (/ (* a c) d)))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* b d)
(fma.f64 b d #s(literal 0 binary64))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(fma.f64 b d (fma.f64 a c #s(literal 0 binary64)))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) c)) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 d d)) c))) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 a (/.f64 (-.f64 (fma.f64 b d #s(literal 0 binary64)) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 d d)) c))) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (-.f64 (fma.f64 b d #s(literal 0 binary64)) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 (fma.f64 d (/.f64 b (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c)))) d)) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (fma.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c c) d)) (fma.f64 a c #s(literal 0 binary64))) 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 (-.f64 (/.f64 (fma.f64 c (/.f64 (fma.f64 a (*.f64 c c) #s(literal 0 binary64)) d) (*.f64 b (*.f64 c c))) d) (fma.f64 a c #s(literal 0 binary64))) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (fma.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c c) d)) (fma.f64 a c #s(literal 0 binary64))) 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 (-.f64 (/.f64 (fma.f64 c (/.f64 (fma.f64 a (*.f64 c c) #s(literal 0 binary64)) d) (*.f64 b (*.f64 c c))) d) (fma.f64 a c #s(literal 0 binary64))) d)) d)
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))

eval56.0ms (0.6%)

Memory
-7.4MiB live, 113.1MiB allocated
Compiler

Compiled 17 479 to 1 020 computations (94.2% saved)

prune300.0ms (3%)

Memory
-7.3MiB live, 154.8MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New46914483
Fresh000
Picked101
Done000
Total47014484
Accuracy
99.5%
Counts
484 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.6%
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
49.6%
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
48.6%
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
56.4%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
44.2%
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
▶51.1%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
▶67.8%
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
43.6%
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
12.1%
(/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))) (+.f64 (*.f64 c c) (*.f64 d d)))
36.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 c (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))))
▶35.2%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
44.1%
(/.f64 b d)
▶44.8%
(/.f64 a c)
▶67.3%
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
Compiler

Compiled 536 to 280 computations (47.8% saved)

simplify314.0ms (3.2%)

Memory
-2.8MiB live, 352.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
✓cost-diff0
(*.f64 b d)
✓cost-diff0
(fma.f64 a c (*.f64 b d))
✓cost-diff320
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
✓cost-diff0
(*.f64 b d)
✓cost-diff0
(*.f64 a c)
✓cost-diff0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
✓cost-diff128
(+.f64 (*.f64 a c) (*.f64 b d))
✓cost-diff0
(/.f64 c d)
✓cost-diff0
(fma.f64 a (/.f64 c d) b)
✓cost-diff64
(/.f64 (fma.f64 a (/.f64 c d) b) d)
✓cost-diff0
(/.f64 a c)
✓cost-diff0
(fma.f64 c c (*.f64 d d))
✓cost-diff0
(*.f64 b d)
✓cost-diff0
(fma.f64 a c (*.f64 b d))
✓cost-diff0
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
Rules
6 886×*-lowering-*.f32
6 886×*-lowering-*.f64
2 708×/-lowering-/.f32
2 708×/-lowering-/.f64
2 702×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020145
134145
246145
390145
4147145
5196145
6343145
7507145
8727145
91574145
102202145
112350145
122530145
132673145
142831145
153036145
164080145
174878145
185882145
196351145
206525145
216560145
226560145
237843145
08254132
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(+ (* a c) (* b d))
a
c
(* b d)
b
d
(+ (* c c) (* d d))
(* d d)
(/ a c)
a
c
(/ (+ (* a (/ c d)) b) d)
(+ (* a (/ c d)) b)
a
(/ c d)
c
d
b
(/ (+ (* a c) (* b d)) (* d d))
(+ (* a c) (* b d))
(* a c)
a
c
(* b d)
b
d
(* d d)
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))
(+ (* a c) (* b d))
a
c
(* b d)
b
d
(/ 1 (+ (* c c) (* d d)))
1
(+ (* c c) (* d d))
(* d d)
Outputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
a
c
(* b d)
(*.f64 b d)
b
d
(+ (* c c) (* d d))
(fma.f64 c c (*.f64 d d))
(* d d)
(*.f64 d d)
(/ a c)
(/.f64 a c)
a
c
(/ (+ (* a (/ c d)) b) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
(+ (* a (/ c d)) b)
(fma.f64 a (/.f64 c d) b)
a
(/ c d)
(/.f64 c d)
c
d
b
(/ (+ (* a c) (* b d)) (* d d))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(* a c)
(*.f64 a c)
a
c
(* b d)
(*.f64 b d)
b
d
(* d d)
(*.f64 d d)
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
a
c
(* b d)
(*.f64 b d)
b
d
(/ 1 (+ (* c c) (* d d)))
(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
1
#s(literal 1 binary64)
(+ (* c c) (* d d))
(fma.f64 c c (*.f64 d d))
(* d d)
(*.f64 d d)

localize67.0ms (0.7%)

Memory
-8.0MiB live, 119.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 c c (*.f64 d d))
✓accuracy100.0%
(fma.f64 a c (*.f64 b d))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
✓accuracy68.2%
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
✓accuracy100.0%
(*.f64 b d)
✓accuracy100.0%
(*.f64 a c)
✓accuracy100.0%
(+.f64 (*.f64 a c) (*.f64 b d))
✓accuracy76.0%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
✓accuracy100.0%
(/.f64 c d)
✓accuracy99.6%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
✓accuracy94.6%
(fma.f64 a (/.f64 c d) b)
✓accuracy100.0%
(/.f64 a c)
✓accuracy100.0%
(*.f64 b d)
✓accuracy100.0%
(fma.f64 c c (*.f64 d d))
✓accuracy100.0%
(fma.f64 a c (*.f64 b d))
✓accuracy68.1%
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
Samples
38.0ms256×0valid
Compiler

Compiled 140 to 22 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 9.0ms (43% of total)
ival-mult: 9.0ms (43% of total)
ival-add: 3.0ms (14.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series59.0ms (0.6%)

Memory
3.7MiB live, 38.5MiB allocated
Counts
13 → 480
Calls
Call 1
Inputs
#<alt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (+ (* c c) (* d d))>
#<alt (/ a c)>
#<alt (/ (+ (* a (/ c d)) b) d)>
#<alt (+ (* a (/ c d)) b)>
#<alt (/ c d)>
#<alt (+ (* a c) (* b d))>
#<alt (/ (+ (* a c) (* b d)) (* d d))>
#<alt (* a c)>
#<alt (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))>
#<alt (/ 1 (+ (* c c) (* d d)))>
Outputs
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (/ (* a c) (pow d 2))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ b d)>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (/ b d)>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* a (+ (/ b a) (/ c d)))>
#<alt (* a (+ (/ b a) (/ c d)))>
#<alt (* a (+ (/ b a) (/ c d)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (* c (+ (/ a d) (/ b c)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (/ (* a c) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt (/ (+ (* a c) (* b d)) d)>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (/ (* a c) d))>
#<alt b>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt (* b (+ 1 (/ (* a c) (* b d))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (/ c d)>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (/ b d)>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))>
#<alt (/ b d)>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ (+ (* a c) (* b d)) (pow d 2))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (/ 1 (pow d 2))>
#<alt (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))>
#<alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))>
#<alt (+ (* (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)))>
#<alt (/ 1 (pow c 2))>
#<alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))>
#<alt (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))>
#<alt (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))>
#<alt (/ 1 (pow d 2))>
#<alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))>
Calls

120 calls:

TimeVariablePointExpression
39.0ms
c
@-inf
(/ c d)
1.0ms
d
@-inf
(/ (+ (* a (/ c d)) b) d)
0.0ms
a
@-inf
(/ (+ (* a (/ c d)) b) d)
0.0ms
d
@inf
(/ (+ (* a (/ c d)) b) d)
0.0ms
c
@-inf
(/ (+ (* a (/ c d)) b) d)

rewrite394.0ms (4%)

Memory
35.7MiB live, 543.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 110×accelerator-lowering-fma.f32
7 110×accelerator-lowering-fma.f64
6 212×*-lowering-*.f32
6 212×*-lowering-*.f64
3 588×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02099
111099
285799
0880388
Stop Event
1×iter limit
1×node limit
Counts
13 → 945
Calls
Call 1
Inputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(+ (* a c) (* b d))
(* b d)
(+ (* c c) (* d d))
(/ a c)
(/ (+ (* a (/ c d)) b) d)
(+ (* a (/ c d)) b)
(/ c d)
(+ (* a c) (* b d))
(/ (+ (* a c) (* b d)) (* d d))
(* a c)
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))
(/ 1 (+ (* c c) (* d d)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)))
(+.f64 (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(+.f64 (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))))
(+.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))
(+.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 c (*.f64 c c)))))
(+.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (-.f64 #s(literal 0 binary64) (*.f64 d d))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))))
(+.f64 (*.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))))
(+.f64 (*.f64 (*.f64 c c) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a c (*.f64 b d)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (-.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 a c (*.f64 b d)) (-.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 a c) (*.f64 b d)))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 a c) (*.f64 b d)))))
(fma.f64 a (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(fma.f64 c (*.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(fma.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 d (*.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 b d) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 c c) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 #s(literal 1 binary64) (*.f64 a c)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 #s(literal 1 binary64) (*.f64 b d)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)))
(fma.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))))
(fma.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))))
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)) (*.f64 a c)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)))
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)) (*.f64 b d)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 c (*.f64 c c)))))
(fma.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 c c) (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (-.f64 #s(literal 0 binary64) (*.f64 d d))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 a c)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 b d)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 a c)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 b d)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)))
(fma.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (*.f64 a c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (*.f64 b d) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (*.f64 b d) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) a) c (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) c) a (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b d)))
(fma.f64 (*.f64 (*.f64 b d) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (*.f64 b d) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (*.f64 b d) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (+.f64 c d) (-.f64 c d)) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) b) d (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) d) b (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a c)))
(fma.f64 (*.f64 (*.f64 a c) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (+.f64 c d) (-.f64 c d)) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))))
(neg.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (-.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 a c (*.f64 b d))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (-.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a c (*.f64 b d)))))
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 d d (*.f64 c c)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a c (*.f64 b d))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 b (*.f64 d (fma.f64 b d (-.f64 #s(literal 0 binary64) (*.f64 a c)))) (*.f64 a (*.f64 a (*.f64 c c))))) (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a c)) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))))
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(fma.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 c (*.f64 c (*.f64 c c)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 c c) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (-.f64 #s(literal 0 binary64) (*.f64 d d))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))
(/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c))))) (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))))
(/.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) c) (*.f64 d d)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c (-.f64 #s(literal 0 binary64) c) (*.f64 d d))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (+.f64 d c) (-.f64 d c))))))) (*.f64 (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))) (fma.f64 c (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (-.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 c (*.f64 c (*.f64 c c))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (*.f64 (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c))))))
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 d d (*.f64 c c)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))))
(*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 c d) (fma.f64 d d (*.f64 c c))) (/.f64 (-.f64 c d) (*.f64 (+.f64 c d) (-.f64 c d))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (+.f64 c d)) (-.f64 c d))

simplify441.0ms (4.5%)

Memory
-17.6MiB live, 624.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 526×accelerator-lowering-fma.f32
7 526×accelerator-lowering-fma.f64
4 832×*-lowering-*.f32
4 832×*-lowering-*.f64
4 202×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03084690
19904654
230254598
374664598
088164278
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
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))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* 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 c 2) (pow d 2))) (/ (* b d) (* a (+ (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 c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (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))
(/ 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)
(/ a 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) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
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(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a c)
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(/ b d)
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(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b 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))
(* b d)
(+ (* a c) (* b d))
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(* a c)
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(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
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(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
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(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
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(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* a c)
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(* d (+ b (/ (* a c) d)))
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(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
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(pow d 2)
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(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
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(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ a c)
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(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
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(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
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(* c (+ (/ a (pow d 2)) (/ b (* c d))))
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(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
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b
(+ b (/ (* a c) d))
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(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
b
(+ b (/ (* a c) d))
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(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/ (* a c) (pow d 2))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/ b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(/ (* a c) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(/ (* 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) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* 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 c 2) (pow d 2))) (/ (* b d) (* a (+ (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 c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (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))
(/ 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)
(/ a 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) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (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 (+ (pow c 2) (pow d 2))) (/ (* a 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) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ a 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))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/ 1 (pow d 2))
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(+ (* (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)))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ 1 (pow c 2))
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 c (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 c (-.f64 #s(literal 0 binary64) (fma.f64 c (/.f64 a (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 d (*.f64 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 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 d (*.f64 d a))) c)) c)) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 d (*.f64 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 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 d (*.f64 d a))) c)) c)) c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (/.f64 (*.f64 d a) (*.f64 c (*.f64 c c)))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 d (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) d) (*.f64 c a)) 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 (-.f64 (*.f64 c a) (/.f64 (fma.f64 a (*.f64 c (/.f64 (*.f64 c c) d)) (*.f64 b (*.f64 c c))) d)) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 c (/.f64 a d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) d) (*.f64 c a)) 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 (-.f64 (*.f64 c a) (/.f64 (fma.f64 a (*.f64 c (/.f64 (*.f64 c c) d)) (*.f64 b (*.f64 c c))) d)) d)) d)
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 c a))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 c a))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 c a))
(* a c)
(*.f64 c a)
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 d (/.f64 b a) c))
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 d (/.f64 b a) c))
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 d (/.f64 b a) c))
(* a c)
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(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
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(/.f64 (fma.f64 d (/.f64 d (-.f64 #s(literal 0 binary64) (*.f64 c c))) #s(literal 1 binary64)) (*.f64 c c))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(fma.f64 (*.f64 d d) (/.f64 (*.f64 d d) (pow.f64 c #s(literal 6 binary64))) (/.f64 (fma.f64 d (/.f64 d (-.f64 #s(literal 0 binary64) (*.f64 c c))) #s(literal 1 binary64)) (*.f64 c c)))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(fma.f64 (*.f64 d d) (*.f64 (*.f64 d d) (fma.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 d (pow.f64 c #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 6 binary64))))) (/.f64 (fma.f64 d (/.f64 d (-.f64 #s(literal 0 binary64) (*.f64 c c))) #s(literal 1 binary64)) (*.f64 c c)))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 d d))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 d d))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))))) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 d d))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (-.f64 #s(literal 0 binary64) (*.f64 d d))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))))) (*.f64 d d))

eval364.0ms (3.7%)

Memory
-11.5MiB live, 193.2MiB allocated
Compiler

Compiled 46 391 to 2 248 computations (95.2% saved)

prune341.0ms (3.4%)

Memory
20.4MiB live, 225.8MiB allocated
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New1 671161 687
Fresh639
Picked325
Done000
Total1 680211 701
Accuracy
99.8%
Counts
1 701 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(/.f64 (fma.f64 d b (*.f64 a c)) (*.f64 d d))
35.2%
(/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 d d))
56.4%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
▶44.2%
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
✓51.1%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
51.1%
(/.f64 (fma.f64 a (/.f64 #s(literal 1 binary64) (/.f64 d c)) b) d)
42.3%
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
▶19.9%
(/.f64 (*.f64 c (/.f64 a d)) d)
43.6%
(/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))
18.0%
(/.f64 (*.f64 c a) (*.f64 d d))
31.2%
(/.f64 (*.f64 b (fma.f64 c (/.f64 a b) d)) (*.f64 d d))
29.1%
(/.f64 (*.f64 b d) (*.f64 d d))
▶59.4%
(/.f64 (*.f64 a (fma.f64 d (/.f64 b a) c)) (fma.f64 c c (*.f64 d d)))
▶44.1%
(/.f64 b d)
✓44.8%
(/.f64 a c)
50.6%
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
▶44.0%
(/.f64 #s(literal 1 binary64) (/.f64 c a))
41.8%
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
44.7%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
44.4%
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
45.3%
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
Compiler

Compiled 515 to 314 computations (39% saved)

simplify522.0ms (5.3%)

Memory
-15.8MiB live, 219.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 c c)
✓cost-diff0
(fma.f64 d d (*.f64 c c))
✓cost-diff0
(fma.f64 b d #s(literal 0 binary64))
✓cost-diff0
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
✓cost-diff-64
(*.f64 c (/.f64 a d))
✓cost-diff0
(/.f64 a d)
✓cost-diff320
(/.f64 (*.f64 c (/.f64 a d)) d)
✓cost-diff0
(/.f64 c a)
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓cost-diff0
(/.f64 b d)
✓cost-diff0
(/.f64 b a)
✓cost-diff0
(fma.f64 d (/.f64 b a) c)
✓cost-diff0
(/.f64 (*.f64 a (fma.f64 d (/.f64 b a) c)) (fma.f64 c c (*.f64 d d)))
✓cost-diff640
(*.f64 a (fma.f64 d (/.f64 b a) c))
Rules
6 976×*-lowering-*.f32
6 976×*-lowering-*.f64
4 434×accelerator-lowering-fma.f32
4 434×accelerator-lowering-fma.f64
2 188×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024112
148112
281110
3118110
4281106
5450106
61244106
72016106
82480106
92805106
102901106
112985106
123033106
133085106
143443106
154012106
164663106
175398106
186019106
196681106
207255106
217509106
227738106
237810106
0813099
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* a (+ (* d (/ b a)) c)) (+ (* c c) (* d d)))
(* a (+ (* d (/ b a)) c))
a
(+ (* d (/ b a)) c)
d
(/ b a)
b
c
(+ (* c c) (* d d))
(* d d)
(/ b d)
b
d
(/ 1 (/ c a))
1
(/ c a)
c
a
(/ (* c (/ a d)) d)
(* c (/ a d))
c
(/ a d)
a
d
(/ (+ (* b d) 0) (+ (* d d) (* c c)))
(+ (* b d) 0)
b
d
0
(+ (* d d) (* c c))
(* c c)
c
Outputs
(/ (* a (+ (* d (/ b a)) c)) (+ (* c c) (* d d)))
(/.f64 (fma.f64 a c (fma.f64 d b #s(literal 0 binary64))) (fma.f64 d d (fma.f64 c c #s(literal 0 binary64))))
(* a (+ (* d (/ b a)) c))
(fma.f64 a c (fma.f64 d b #s(literal 0 binary64)))
a
(+ (* d (/ b a)) c)
(fma.f64 d (/.f64 b a) c)
d
(/ b a)
(/.f64 b a)
b
c
(+ (* c c) (* d d))
(fma.f64 d d (fma.f64 c c #s(literal 0 binary64)))
(* d d)
(fma.f64 d d #s(literal 0 binary64))
(/ b d)
(/.f64 b d)
b
d
(/ 1 (/ c a))
(/.f64 a c)
1
#s(literal 1 binary64)
(/ c a)
(/.f64 c a)
c
a
(/ (* c (/ a d)) d)
(fma.f64 a (/.f64 c (fma.f64 d d #s(literal 0 binary64))) #s(literal 0 binary64))
(* c (/ a d))
(fma.f64 c (/.f64 a d) #s(literal 0 binary64))
c
(/ a d)
(/.f64 a d)
a
d
(/ (+ (* b d) 0) (+ (* d d) (* c c)))
(fma.f64 b (/.f64 d (fma.f64 d d (fma.f64 c c #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* b d) 0)
(fma.f64 d b #s(literal 0 binary64))
b
d
0
#s(literal 0 binary64)
(+ (* d d) (* c c))
(fma.f64 d d (fma.f64 c c #s(literal 0 binary64)))
(* c c)
(fma.f64 c c #s(literal 0 binary64))
c

localize103.0ms (1%)

Memory
16.9MiB live, 55.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 d d (*.f64 c c))
✓accuracy100.0%
(fma.f64 b d #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 c c)
✓accuracy74.0%
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
✓accuracy100.0%
(/.f64 a d)
✓accuracy97.7%
(/.f64 (*.f64 c (/.f64 a d)) d)
✓accuracy93.2%
(*.f64 c (/.f64 a d))
✓accuracy100.0%
(/.f64 c a)
✓accuracy98.7%
(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓accuracy100.0%
(/.f64 b d)
✓accuracy100.0%
(fma.f64 c c (*.f64 d d))
✓accuracy95.0%
(fma.f64 d (/.f64 b a) c)
✓accuracy92.5%
(*.f64 a (fma.f64 d (/.f64 b a) c))
✓accuracy68.1%
(/.f64 (*.f64 a (fma.f64 d (/.f64 b a) c)) (fma.f64 c c (*.f64 d d)))
Samples
39.0ms256×0valid
Compiler

Compiled 109 to 26 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 12.0ms (48.7% of total)
ival-mult: 8.0ms (32.5% of total)
ival-add: 4.0ms (16.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series159.0ms (1.6%)

Memory
-40.0MiB live, 19.9MiB allocated
Counts
15 → 456
Calls
Call 1
Inputs
#<alt (* a (+ (* d (/ b a)) c))>
#<alt (/ (* a (+ (* d (/ b a)) c)) (+ (* c c) (* d d)))>
#<alt (+ (* d (/ b a)) c)>
#<alt (/ b a)>
#<alt (/ b d)>
#<alt (/ 1 (/ c a))>
#<alt (/ c a)>
#<alt (/ (* c (/ a d)) d)>
#<alt (/ a d)>
#<alt (* c (/ a d))>
#<alt (/ (+ (* b d) 0) (+ (* d d) (* c c)))>
#<alt (+ (* b d) 0)>
#<alt (+ (* d d) (* c c))>
#<alt (* c c)>
#<alt (+ (* c c) (* d d))>
Outputs
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt c>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (/ (* b d) a)>
#<alt (* d (+ (/ b a) (/ c d)))>
#<alt (* d (+ (/ b a) (/ c d)))>
#<alt (* d (+ (/ b a) (/ c d)))>
#<alt (/ (* b d) a)>
#<alt (* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt c>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (/ (* b d) a)>
#<alt (* b (+ (/ c b) (/ d a)))>
#<alt (* b (+ (/ c b) (/ d a)))>
#<alt (* b (+ (/ c b) (/ d a)))>
#<alt (/ (* b d) a)>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a)))))>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a)))))>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a)))))>
#<alt (/ (* b d) a)>
#<alt (/ (+ (* a c) (* b d)) a)>
#<alt (/ (+ (* a c) (* b d)) a)>
#<alt (/ (+ (* a c) (* b d)) a)>
#<alt c>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt c>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (/ (* b d) a)>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt c>
#<alt (* c (+ 1 (/ (* b d) (* a c))))>
#<alt (* c (+ 1 (/ (* b d) (* a c))))>
#<alt (* c (+ 1 (/ (* b d) (* a c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ c a)>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))>
#<alt (* 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))))>
#<alt (/ b d)>
#<alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)>
#<alt (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ (- (+ 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)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))>
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))>
#<alt (* -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))>
#<alt (/ b d)>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))>
#<alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))>
#<alt (+ (* (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))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))>
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ (* -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))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))>
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ (* -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))>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
Calls

114 calls:

TimeVariablePointExpression
130.0ms
a
@0
(/ b a)
6.0ms
c
@0
(/ (+ (* b d) 0) (+ (* d d) (* c c)))
1.0ms
c
@inf
(/ (+ (* b d) 0) (+ (* d d) (* c c)))
1.0ms
c
@inf
(/ (* c (/ a d)) d)
1.0ms
a
@-inf
(/ (* a (+ (* d (/ b a)) c)) (+ (* c c) (* d d)))

rewrite761.0ms (7.7%)

Memory
5.6MiB live, 473.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 222×accelerator-lowering-fma.f32
8 222×accelerator-lowering-fma.f64
6 580×*-lowering-*.f32
6 580×*-lowering-*.f64
3 936×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02493
114791
2115291
0893184
Stop Event
1×iter limit
1×node limit
Counts
15 → 1 114
Calls
Call 1
Inputs
(* a (+ (* d (/ b a)) c))
(/ (* a (+ (* d (/ b a)) c)) (+ (* c c) (* d d)))
(+ (* d (/ b a)) c)
(/ b a)
(/ b d)
(/ 1 (/ c a))
(/ c a)
(/ (* c (/ a d)) d)
(/ a d)
(* c (/ a d))
(/ (+ (* b d) 0) (+ (* d d) (* c c)))
(+ (* b d) 0)
(+ (* d d) (* c c))
(* c c)
(+ (* c c) (* d d))
Outputs
(+.f64 (/.f64 (*.f64 a (fma.f64 d b #s(literal 0 binary64))) a) (*.f64 a c))
(+.f64 (/.f64 (*.f64 a (fma.f64 d b #s(literal 0 binary64))) a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(+.f64 (*.f64 a c) (/.f64 (*.f64 a (fma.f64 d b #s(literal 0 binary64))) a))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 d (/.f64 b a) c))))
(-.f64 (/.f64 (*.f64 (/.f64 (fma.f64 d (fma.f64 d (*.f64 b b) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a a)) (*.f64 a a)) (*.f64 a (-.f64 (/.f64 (fma.f64 d b #s(literal 0 binary64)) a) c))) (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 a (-.f64 (/.f64 (fma.f64 d b #s(literal 0 binary64)) a) c))))
(fma.f64 a (/.f64 (fma.f64 d b #s(literal 0 binary64)) a) (*.f64 a c))
(fma.f64 a (/.f64 (fma.f64 d b #s(literal 0 binary64)) a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 a c (/.f64 (*.f64 a (fma.f64 d b #s(literal 0 binary64))) a))
(fma.f64 d (*.f64 (/.f64 b a) a) (*.f64 a c))
(fma.f64 d (*.f64 (/.f64 b a) a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 d a)) (*.f64 a c))
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 d a)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 b (*.f64 (/.f64 d a) a) (*.f64 a c))
(fma.f64 b (*.f64 (/.f64 d a) a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 b (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) d) a) (*.f64 a c))
(fma.f64 b (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) d) a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (/.f64 b a) (*.f64 d a) (*.f64 a c))
(fma.f64 (/.f64 b a) (*.f64 d a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (/.f64 (fma.f64 d b #s(literal 0 binary64)) a) a (*.f64 a c))
(fma.f64 (/.f64 (fma.f64 d b #s(literal 0 binary64)) a) a (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 c a (/.f64 (*.f64 a (fma.f64 d b #s(literal 0 binary64))) a))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 d b #s(literal 0 binary64))) a) (*.f64 a c))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 d b #s(literal 0 binary64))) a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (fma.f64 d b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) a) (*.f64 a c))
(fma.f64 (fma.f64 d b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) a) a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 d a)) (*.f64 a c))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 d a)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 d a)) (*.f64 a c))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 d a)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (*.f64 a c) #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 d b #s(literal 0 binary64))) a))
(fma.f64 (*.f64 a d) (/.f64 b a) (*.f64 a c))
(fma.f64 (*.f64 a d) (/.f64 b a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (*.f64 a (/.f64 b a)) d (*.f64 a c))
(fma.f64 (*.f64 a (/.f64 b a)) d (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (*.f64 a (fma.f64 d b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) a) (*.f64 a c))
(fma.f64 (*.f64 a (fma.f64 d b #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (*.f64 b (*.f64 d a)) (/.f64 #s(literal 1 binary64) a) (*.f64 a c))
(fma.f64 (*.f64 b (*.f64 d a)) (/.f64 #s(literal 1 binary64) a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (*.f64 a b) (/.f64 d a) (*.f64 a c))
(fma.f64 (*.f64 a b) (/.f64 d a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (*.f64 a b) (*.f64 (/.f64 #s(literal 1 binary64) a) d) (*.f64 a c))
(fma.f64 (*.f64 a b) (*.f64 (/.f64 #s(literal 1 binary64) a) d) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (*.f64 (*.f64 a d) #s(literal 1 binary64)) (/.f64 b a) (*.f64 a c))
(fma.f64 (*.f64 (*.f64 a d) #s(literal 1 binary64)) (/.f64 b a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (*.f64 (*.f64 a d) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) a) (*.f64 a c))
(fma.f64 (*.f64 (*.f64 a d) (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(fma.f64 (*.f64 (*.f64 a d) (/.f64 #s(literal 1 binary64) a)) b (*.f64 a c))
(fma.f64 (*.f64 (*.f64 a d) (/.f64 #s(literal 1 binary64) a)) b (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
(neg.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (fma.f64 d (/.f64 b a) c))))
(/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b a) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 d (fma.f64 d (*.f64 b b) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a a)) (*.f64 a a) (*.f64 (*.f64 a c) (-.f64 (*.f64 a c) (/.f64 (*.f64 a (fma.f64 d b #s(literal 0 binary64))) a)))) (fma.f64 (/.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 b (*.f64 b b)) #s(literal 0 binary64)) (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 (/.f64 (fma.f64 d b #s(literal 0 binary64)) a) c)) (*.f64 (*.f64 a (fma.f64 d (/.f64 b a) c)) (*.f64 a (-.f64 (/.f64 (fma.f64 d b #s(literal 0 binary64)) a) c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c (-.f64 c (/.f64 (fma.f64 d b #s(literal 0 binary64)) a)) (/.f64 (fma.f64 d (fma.f64 d (*.f64 b b) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 c (*.f64 c c) (/.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 b (*.f64 b b)) #s(literal 0 binary64)) (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 d b #s(literal 0 binary64)) a) c) (*.f64 a (-.f64 (/.f64 (fma.f64 d (fma.f64 d (*.f64 b b) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a a)) (*.f64 c c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c (-.f64 c (/.f64 (fma.f64 d b #s(literal 0 binary64)) a)) (/.f64 (fma.f64 d (fma.f64 d (*.f64 b b) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a a))) (*.f64 (fma.f64 c (*.f64 c c) (/.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 b (*.f64 b b)) #s(literal 0 binary64)) (*.f64 a (*.f64 a a)))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 d b #s(literal 0 binary64)) a) c) (*.f64 (-.f64 (/.f64 (fma.f64 d (fma.f64 d (*.f64 b b) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a a)) (*.f64 c c)) a)))
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(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (+.f64 d c) (-.f64 d c)))
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (-.f64 (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (+.f64 c d) (-.f64 c d)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))))) (*.f64 (+.f64 d c) (-.f64 d c)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (fma.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (fma.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) (+.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))))) (+.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64))
(*.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64))
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c))))
(*.f64 (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))
(*.f64 (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))))
(*.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(*.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))))
(*.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(*.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 c d)) (+.f64 c d))
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (+.f64 d c))

simplify428.0ms (4.3%)

Memory
14.4MiB live, 686.3MiB allocated
Algorithm
1×egg-herbie
Rules
11 492×accelerator-lowering-fma.f32
11 492×accelerator-lowering-fma.f64
5 040×*-lowering-*.f32
5 040×*-lowering-*.f64
3 048×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03033522
19693484
229283427
377223427
084113234
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(/ (* 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) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* 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 c 2) (pow d 2))) (/ (* b d) (* a (+ (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 c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ a 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))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ b 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))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (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 (+ (pow c 2) (pow d 2))) (/ (* a 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) (+ (pow c 2) (pow d 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 (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (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))
(/ 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)
(/ a 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))
c
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(/ (* b d) a)
(* d (+ (/ b a) (/ c d)))
(* d (+ (/ b a) (/ c d)))
(* d (+ (/ b a) (/ c d)))
(/ (* b d) a)
(* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d)))))
c
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(/ (* b d) a)
(* b (+ (/ c b) (/ d a)))
(* b (+ (/ c b) (/ d a)))
(* b (+ (/ c b) (/ d a)))
(/ (* b d) a)
(* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a)))))
(* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a)))))
(* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a)))))
(/ (* b d) a)
(/ (+ (* a c) (* b d)) a)
(/ (+ (* a c) (* b d)) a)
(/ (+ (* a c) (* b d)) a)
c
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
c
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(/ (* b d) a)
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
c
(* c (+ 1 (/ (* b d) (* a c))))
(* c (+ 1 (/ (* b d) (* a c))))
(* c (+ 1 (/ (* b d) (* a c))))
c
(* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1)))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ c a)
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/ (* b d) (pow c 2))
(* 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))))
(/ b d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/ b 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))
(/ b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/ (* b d) (pow c 2))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
Outputs
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* a (+ c (/ (* b d) a)))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 a (fma.f64 b (/.f64 d a) c))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* d (+ b (/ (* a c) d)))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* b d)
(*.f64 b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (fma.f64 a (/.f64 c d) b))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* b d)
(*.f64 b d)
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b (+ d (/ (* a c) b)))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b d)
(*.f64 b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 b (fma.f64 a (/.f64 c b) d))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(+ (* a c) (* b d))
(fma.f64 b d (*.f64 a c))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* c (+ a (/ (* b d) c)))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 c (fma.f64 b (/.f64 d c) a))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (fma.f64 d (/.f64 b (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 a (/.f64 d (*.f64 c (-.f64 #s(literal 0 binary64) (*.f64 c c)))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(fma.f64 d (fma.f64 d (-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 d (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (-.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c c) d) (*.f64 a (-.f64 #s(literal 0 binary64) c))) d)) 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 a d) (-.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (*.f64 (-.f64 #s(literal 0 binary64) b) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c c) d) (*.f64 a (-.f64 #s(literal 0 binary64) c))) 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 (-.f64 (*.f64 a c) (/.f64 (fma.f64 b (*.f64 c c) (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) d)) d)) d)) d)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(fma.f64 b (/.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) d)) (*.f64 a (/.f64 c (*.f64 d d))))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(fma.f64 c (fma.f64 c (-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
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(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
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(/.f64 (*.f64 b (fma.f64 (-.f64 #s(literal 0 binary64) d) (*.f64 d (/.f64 d (*.f64 c c))) d)) (*.f64 c c))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/.f64 (*.f64 b (+.f64 d (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 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)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))))) (*.f64 c c))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/.f64 (*.f64 b (fma.f64 (-.f64 #s(literal 0 binary64) d) (*.f64 d (/.f64 d (*.f64 c c))) d)) (*.f64 c c))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/.f64 (*.f64 b (+.f64 d (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 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)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))))) (*.f64 c c))
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))))

eval184.0ms (1.9%)

Memory
27.6MiB live, 445.2MiB allocated
Compiler

Compiled 39 152 to 2 652 computations (93.2% saved)

prune198.0ms (2%)

Memory
-26.3MiB live, 515.2MiB allocated
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1 560101 570
Fresh41014
Picked325
Done022
Total1 567241 591
Accuracy
99.8%
Counts
1 591 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(/.f64 (fma.f64 d b (*.f64 a c)) (*.f64 d d))
35.2%
(/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 d d))
▶56.4%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
23.2%
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
✓51.1%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
42.3%
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
20.3%
(/.f64 (/.f64 c (/.f64 d a)) d)
44.2%
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
✓19.9%
(/.f64 (*.f64 c (/.f64 a d)) d)
▶43.6%
(/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))
18.0%
(/.f64 (*.f64 c a) (*.f64 d d))
▶29.1%
(/.f64 (*.f64 b d) (*.f64 d d))
37.2%
(/.f64 (*.f64 a (fma.f64 d (/.f64 b a) c)) (*.f64 c c))
20.5%
(/.f64 c (*.f64 d (/.f64 d a)))
✓44.1%
(/.f64 b d)
✓44.8%
(/.f64 a c)
43.7%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
44.0%
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
▶44.7%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
▶18.0%
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
22.5%
(*.f64 d (/.f64 b (*.f64 c c)))
44.4%
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
45.3%
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
18.4%
(*.f64 a (/.f64 c (*.f64 d d)))
Compiler

Compiled 525 to 328 computations (37.5% saved)

simplify512.0ms (5.2%)

Memory
32.8MiB live, 746.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 d d)
✓cost-diff0
(fma.f64 c c (*.f64 d d))
✓cost-diff0
(*.f64 c a)
✓cost-diff0
(/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))
✓cost-diff0
(*.f64 d d)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 d d))
✓cost-diff0
(*.f64 a c)
✓cost-diff320
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
✓cost-diff0
(*.f64 d d)
✓cost-diff0
(*.f64 b d)
✓cost-diff640
(/.f64 (*.f64 b d) (*.f64 d d))
✓cost-diff0
(/.f64 #s(literal 1 binary64) c)
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓cost-diff0
(/.f64 d c)
✓cost-diff0
(fma.f64 b (/.f64 d c) a)
✓cost-diff0
(/.f64 (fma.f64 b (/.f64 d c) a) c)
Rules
16 846×accelerator-lowering-fma.f32
16 846×accelerator-lowering-fma.f64
6 392×*-lowering-*.f32
6 392×*-lowering-*.f64
2 668×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021100
14894
29292
318092
440992
592792
6203592
7247592
8302992
9339892
10369092
11467992
12514592
13558092
14705492
15752392
16761092
0908288
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* b (/ d c)) a) c)
(+ (* b (/ d c)) a)
b
(/ d c)
d
c
a
(* (/ 1 c) a)
(/ 1 c)
1
c
a
(/ (* b d) (* d d))
(* b d)
b
d
(* d d)
(* (* a c) (/ 1 (* d d)))
(* a c)
a
c
(/ 1 (* d d))
1
(* d d)
d
(/ (* c a) (+ (* c c) (* d d)))
(* c a)
c
a
(+ (* c c) (* d d))
(* d d)
d
Outputs
(/ (+ (* b (/ d c)) a) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (* b (/ d c)) a)
(fma.f64 b (/.f64 d c) a)
b
(/ d c)
(/.f64 d c)
d
c
a
(* (/ 1 c) a)
(/.f64 a c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
1
#s(literal 1 binary64)
c
a
(/ (* b d) (* d d))
(/.f64 b d)
(* b d)
(*.f64 b d)
b
d
(* d d)
(*.f64 d d)
(* (* a c) (/ 1 (* d d)))
(/.f64 (*.f64 c a) (*.f64 d d))
(* a c)
(*.f64 c a)
a
c
(/ 1 (* d d))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
1
#s(literal 1 binary64)
(* d d)
(*.f64 d d)
d
(/ (* c a) (+ (* c c) (* d d)))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(* c a)
(*.f64 c a)
c
a
(+ (* c c) (* d d))
(fma.f64 d d (*.f64 c c))
(* d d)
(*.f64 d d)
d

localize63.0ms (0.6%)

Memory
-22.0MiB live, 94.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 d d)
✓accuracy100.0%
(*.f64 c a)
✓accuracy100.0%
(fma.f64 c c (*.f64 d d))
✓accuracy78.9%
(/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))
✓accuracy100.0%
(*.f64 d d)
✓accuracy100.0%
(*.f64 a c)
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 d d))
✓accuracy85.0%
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
✓accuracy100.0%
(*.f64 d d)
✓accuracy100.0%
(*.f64 b d)
✓accuracy66.6%
(/.f64 (*.f64 b d) (*.f64 d d))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) c)
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓accuracy100.0%
(/.f64 d c)
✓accuracy99.2%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
✓accuracy93.6%
(fma.f64 b (/.f64 d c) a)
Samples
40.0ms256×0valid
Compiler

Compiled 98 to 23 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 11.0ms (48.7% of total)
ival-div: 9.0ms (39.8% of total)
ival-add: 2.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
26.9MiB live, 26.9MiB allocated
Counts
14 → 372
Calls
Call 1
Inputs
#<alt (/ (+ (* b (/ d c)) a) c)>
#<alt (+ (* b (/ d c)) a)>
#<alt (/ d c)>
#<alt (* (/ 1 c) a)>
#<alt (/ 1 c)>
#<alt (/ (* b d) (* d d))>
#<alt (* b d)>
#<alt (* d d)>
#<alt (* (* a c) (/ 1 (* d d)))>
#<alt (* a c)>
#<alt (/ 1 (* d d))>
#<alt (/ (* c a) (+ (* c c) (* d d)))>
#<alt (* c a)>
#<alt (+ (* c c) (* d d))>
Outputs
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ (+ (* a c) (* b d)) (pow c 2))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (/ (* b d) (pow c 2))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ a c)>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))>
#<alt (/ a c)>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (* b (+ (/ a b) (/ d c)))>
#<alt (/ (* b d) c)>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (* d (+ (/ a d) (/ b c)))>
#<alt (/ (* b d) c)>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))>
#<alt (/ (* b d) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt (/ (+ (* a c) (* b d)) c)>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (/ (* b d) c)>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt (+ a (/ (* b d) c))>
#<alt a>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt (* a (+ 1 (/ (* b d) (* a c))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (/ 1 (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))>
#<alt (* 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))))>
#<alt (/ a c)>
#<alt (/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)>
#<alt (/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ (- (+ 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)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))>
#<alt (* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))>
#<alt (* -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))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (/ a c)>
#<alt (+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))>
#<alt (+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))>
#<alt (+ (* (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))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))>
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ (* -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))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))>
#<alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ (* -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))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
Calls

93 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/ (* c a) (+ (* c c) (* d d)))
0.0ms
c
@-inf
(/ (+ (* b (/ d c)) a) c)
0.0ms
b
@inf
(/ (+ (* b (/ d c)) a) c)
0.0ms
a
@0
(/ (+ (* b (/ d c)) a) c)
0.0ms
b
@-inf
(/ (+ (* b (/ d c)) a) c)

rewrite345.0ms (3.5%)

Memory
-32.8MiB live, 445.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 192×*-lowering-*.f32
5 192×*-lowering-*.f64
4 768×accelerator-lowering-fma.f32
4 768×accelerator-lowering-fma.f64
3 850×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02176
111668
276168
3785068
0846964
Stop Event
1×iter limit
1×node limit
Counts
14 → 776
Calls
Call 1
Inputs
(/ (+ (* b (/ d c)) a) c)
(+ (* b (/ d c)) a)
(/ d c)
(* (/ 1 c) a)
(/ 1 c)
(/ (* b d) (* d d))
(* b d)
(* d d)
(* (* a c) (/ 1 (* d d)))
(* a c)
(/ 1 (* d d))
(/ (* c a) (+ (* c c) (* d d)))
(* c a)
(+ (* c c) (* d d))
Outputs
(+.f64 (/.f64 a c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(+.f64 (/.f64 a c) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)) (/.f64 a c))
(+.f64 (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)) (/.f64 a c))
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 b (/.f64 d c) a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b (/.f64 d c) a) (-.f64 #s(literal 0 binary64) c)))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 (-.f64 (/.f64 (*.f64 b d) c) a) (*.f64 c c))) c) (/.f64 (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 b d) c) a)) c))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) c)) (/.f64 (fma.f64 b (/.f64 d c) a) (-.f64 #s(literal 0 binary64) c)))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 c (-.f64 (/.f64 (*.f64 b d) c) a))) (/.f64 (*.f64 a a) (*.f64 c (-.f64 (/.f64 (*.f64 b d) c) a))))
(fma.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c) (/.f64 a c))
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c) (/.f64 a c))
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (/.f64 a c) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 (/.f64 a c) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) a) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) a) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 #s(literal -1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) c)) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 #s(literal -1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) c)) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (pow.f64 c #s(literal -1/2 binary64)) (*.f64 (pow.f64 c #s(literal -1/2 binary64)) a) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 (pow.f64 c #s(literal -1/2 binary64)) (*.f64 (pow.f64 c #s(literal -1/2 binary64)) a) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (/.f64 a (-.f64 #s(literal 0 binary64) c)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 (/.f64 a (-.f64 #s(literal 0 binary64) c)) #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(fma.f64 (*.f64 a (pow.f64 c #s(literal -1/2 binary64))) (pow.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)))
(fma.f64 (*.f64 a (pow.f64 c #s(literal -1/2 binary64))) (pow.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)))
(neg.f64 (/.f64 (fma.f64 b (/.f64 d c) a) (-.f64 #s(literal 0 binary64) c)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (fma.f64 b (/.f64 d c) a)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 d c) a) (-.f64 #s(literal 0 binary64) c))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 (/.f64 (*.f64 b d) c) (-.f64 (/.f64 (*.f64 b d) c) a) (*.f64 a a))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (/.f64 (*.f64 b d) c) a)) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 b d) c) (-.f64 (/.f64 (*.f64 b d) c) a) (*.f64 a a)) (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) c)))
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a)))
(/.f64 #s(literal -1 binary64) (/.f64 c (-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 d c) a))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a)) (-.f64 #s(literal 0 binary64) c)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b (/.f64 d c) a)) (-.f64 #s(literal 0 binary64) c))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (*.f64 c (fma.f64 (/.f64 (*.f64 b d) c) (-.f64 (/.f64 (*.f64 b d) c) a) (*.f64 a a))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 b d) c) (-.f64 (/.f64 (*.f64 b d) c) a) (*.f64 a a))) (-.f64 #s(literal 0 binary64) c)))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 b d) c) (-.f64 (/.f64 (*.f64 b d) c) a) (*.f64 a a)))))
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) (*.f64 c (-.f64 (/.f64 (*.f64 b d) c) a)))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c (-.f64 #s(literal 0 binary64) c) (*.f64 d d)))) (*.f64 (+.f64 d c) (-.f64 c d)))
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c (-.f64 #s(literal 0 binary64) c) (*.f64 d d)))) (neg.f64 (fma.f64 c (-.f64 #s(literal 0 binary64) c) (*.f64 d d))))
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 c d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 c d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 c d))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 c d))) (fma.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 c d))) (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 c d)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 c d))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 c d)))) (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 c d))))) (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 c (*.f64 (+.f64 d c) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 c d)))))
(/.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 d (*.f64 d (*.f64 d d))))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (fma.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (-.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))))))))
(/.f64 (*.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d)))))
(/.f64 (*.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 c d)))) (fma.f64 (*.f64 d (*.f64 d (*.f64 d d))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 c (*.f64 c (*.f64 c c))))))
(/.f64 (*.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 c d)))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))))
(/.f64 (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 c d))) (+.f64 d c)) (-.f64 c d))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
(*.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64))
(*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 (*.f64 (+.f64 d c) (-.f64 c d)) (*.f64 (+.f64 d c) (-.f64 c d))))
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 (+.f64 d c) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 c d)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c))))
(*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))
(*.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))) #s(literal 1 binary64)))
(*.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))
(*.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 c d))))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 c d))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 c d))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c (-.f64 #s(literal 0 binary64) c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 c (-.f64 #s(literal 0 binary64) c) (*.f64 d d))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))) (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 c d))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 c d))))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (+.f64 d c))
(*.f64 (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 c d))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 c d)))) (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))))) (fma.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))))))) (fma.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (-.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 c (*.f64 c (*.f64 c c))))))
(*.f64 (/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 c d))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c)))))

simplify297.0ms (3%)

Memory
17.8MiB live, 330.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 106×accelerator-lowering-fma.f32
8 106×accelerator-lowering-fma.f64
5 070×*-lowering-*.f32
5 070×*-lowering-*.f64
1 722×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01892340
15712316
217592288
364552222
083172108
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/ (* b d) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ (+ (* a c) (* b d)) (pow c 2))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (/ (* b d) c)) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/ (* b d) (pow c 2))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/ a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(* b (+ (/ a b) (/ d c)))
(/ (* b d) c)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(* d (+ (/ a d) (/ b c)))
(/ (* b d) c)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* b d) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
(/ (+ (* a c) (* b d)) c)
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(/ (* b d) c)
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
(+ a (/ (* b d) c))
a
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
(* a (+ 1 (/ (* b d) (* a c))))
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(/ b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(/ 1 (pow d 2))
(/ 1 (pow d 2))
(/ 1 (pow d 2))
(/ 1 (pow d 2))
(/ 1 (pow d 2))
(/ 1 (pow d 2))
(/ 1 (pow d 2))
(/ 1 (pow d 2))
(/ 1 (pow d 2))
(/ 1 (pow d 2))
(/ 1 (pow d 2))
(/ 1 (pow d 2))
(/ (* a c) (pow d 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))))
(/ a c)
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)
(/ a 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))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/ a c)
(+ (* -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))
(/ (* a c) (pow d 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))
(/ (* a c) (pow d 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))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
Outputs
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (* b d) (pow c 2))
(*.f64 b (/.f64 d (*.f64 c c)))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (* b d) (pow c 2))
(*.f64 b (/.f64 d (*.f64 c c)))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (* b d) (pow c 2))
(*.f64 b (/.f64 d (*.f64 c c)))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (* b d) (pow c 2))
(*.f64 b (/.f64 d (*.f64 c c)))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (* b d) (pow c 2))
(*.f64 b (/.f64 d (*.f64 c c)))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/ (+ (* a c) (* b d)) (pow c 2))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ (* b d) (pow c 2))
(*.f64 b (/.f64 d (*.f64 c c)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/ a c)
(/.f64 a c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
a
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(/ (* b d) c)
(*.f64 b (/.f64 d c))
(* b (+ (/ a b) (/ d c)))
(fma.f64 b (/.f64 d c) a)
(* b (+ (/ a b) (/ d c)))
(fma.f64 b (/.f64 d c) a)
(* b (+ (/ a b) (/ d c)))
(fma.f64 b (/.f64 d c) a)
(/ (* b d) c)
(*.f64 b (/.f64 d c))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(fma.f64 b (/.f64 d c) a)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(fma.f64 b (/.f64 d c) a)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(fma.f64 b (/.f64 d c) a)
a
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(/ (* b d) c)
(*.f64 b (/.f64 d c))
(* d (+ (/ a d) (/ b c)))
(fma.f64 b (/.f64 d c) a)
(* d (+ (/ a d) (/ b c)))
(fma.f64 b (/.f64 d c) a)
(* d (+ (/ a d) (/ b c)))
(fma.f64 b (/.f64 d c) a)
(/ (* b d) c)
(*.f64 b (/.f64 d c))
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(fma.f64 b (/.f64 d c) a)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(fma.f64 b (/.f64 d c) a)
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(fma.f64 b (/.f64 d c) a)
(/ (* b d) c)
(*.f64 b (/.f64 d c))
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 a c (*.f64 b d)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 a c (*.f64 b d)) c)
(/ (+ (* a c) (* b d)) c)
(/.f64 (fma.f64 a c (*.f64 b d)) c)
a
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
a
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(/ (* b d) c)
(*.f64 b (/.f64 d c))
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
(+ a (/ (* b d) c))
(fma.f64 b (/.f64 d c) a)
a
(* a (+ 1 (/ (* b d) (* a c))))
(fma.f64 b (/.f64 d c) a)
(* a (+ 1 (/ (* b d) (* a c))))
(fma.f64 b (/.f64 d c) a)
(* a (+ 1 (/ (* b d) (* a c))))
(fma.f64 b (/.f64 d c) a)
a
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(fma.f64 b (/.f64 d c) a)
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(fma.f64 b (/.f64 d c) a)
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))
(fma.f64 b (/.f64 d c) a)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))))
(/.f64 (fma.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (/.f64 c (*.f64 d d)) c) #s(literal 0 binary64)) (*.f64 d d))
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))))
(*.f64 c (fma.f64 (*.f64 c c) (-.f64 (fma.f64 a (*.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64)))) #s(literal 0 binary64)) (/.f64 a (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))))
(*.f64 c (fma.f64 (*.f64 c c) (neg.f64 (fma.f64 (*.f64 c c) (*.f64 a (fma.f64 c (/.f64 c (pow.f64 d #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 6 binary64))))) (/.f64 a (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 a (*.f64 d d))))
(/ a c)
(/.f64 a c)
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c)
(/.f64 (*.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64))) c)
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 a (-.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d d) (*.f64 c c))) a) c)
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)
(/.f64 (-.f64 a (fma.f64 a (-.f64 (fma.f64 d (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal 0 binary64))) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(/.f64 (*.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64))) c)
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c))
(/.f64 (fma.f64 a (-.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d d) (*.f64 c c))) 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 (-.f64 a (fma.f64 a (-.f64 (fma.f64 d (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal 0 binary64))) c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 c c (*.f64 d d)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 c c (*.f64 d d)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 c c (*.f64 d d)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 c c (*.f64 d d)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 c c (*.f64 d d)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 c c (*.f64 d d)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 c c (*.f64 d d)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 c c (*.f64 d d)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 c c (*.f64 d d)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 c c (*.f64 d d)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 c c (*.f64 d d)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 c c (*.f64 d d)))
(/ a c)
(/.f64 a c)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(/.f64 (*.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64))) c)
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c))
(fma.f64 (*.f64 d d) (-.f64 (fma.f64 (*.f64 d d) (/.f64 a (pow.f64 c #s(literal 5 binary64))) #s(literal 0 binary64)) (/.f64 a (*.f64 c (*.f64 c c)))) (/.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 d (*.f64 d (neg.f64 (fma.f64 (*.f64 d d) (*.f64 a (fma.f64 d (/.f64 d (pow.f64 c #s(literal 7 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 5 binary64))))) (/.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 a c))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/.f64 (fma.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (/.f64 c (*.f64 d d)) c) #s(literal 0 binary64)) (*.f64 d d))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 a (+.f64 c (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d)))) #s(literal 0 binary64)) (*.f64 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 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (fma.f64 a (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) #s(literal 0 binary64))) (*.f64 d d))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2))
(/.f64 (fma.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (/.f64 c (*.f64 d d)) c) #s(literal 0 binary64)) (*.f64 d d))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 a (+.f64 c (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d)))) #s(literal 0 binary64)) (*.f64 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 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (fma.f64 a (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) #s(literal 0 binary64))) (*.f64 d d))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))

eval128.0ms (1.3%)

Memory
13.4MiB live, 210.2MiB allocated
Compiler

Compiled 22 373 to 1 941 computations (91.3% saved)

prune158.0ms (1.6%)

Memory
12.9MiB live, 239.1MiB allocated
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New1 21661 222
Fresh41115
Picked055
Done044
Total1 220261 246
Accuracy
99.8%
Counts
1 246 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(/.f64 (fma.f64 d b (*.f64 a c)) (*.f64 d d))
35.2%
(/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 d d))
✓56.4%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
23.2%
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
✓51.1%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
42.3%
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
44.2%
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
✓19.9%
(/.f64 (*.f64 c (/.f64 a d)) d)
✓43.6%
(/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))
18.0%
(/.f64 (*.f64 c a) (*.f64 d d))
25.4%
(/.f64 (*.f64 b (/.f64 d c)) c)
✓29.1%
(/.f64 (*.f64 b d) (*.f64 d d))
37.2%
(/.f64 (*.f64 a (fma.f64 d (/.f64 b a) c)) (*.f64 c c))
✓44.1%
(/.f64 b d)
18.3%
(/.f64 a (*.f64 (/.f64 d c) d))
✓44.8%
(/.f64 a c)
43.7%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
56.3%
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
18.4%
(*.f64 (/.f64 c (*.f64 d d)) a)
44.4%
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)
44.0%
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
✓44.7%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓18.0%
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
22.5%
(*.f64 d (/.f64 b (*.f64 c c)))
45.3%
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
21.9%
(*.f64 b (/.f64 d (*.f64 c c)))
Compiler

Compiled 812 to 313 computations (61.5% saved)

regimes65.0ms (0.7%)

Memory
8.2MiB live, 86.7MiB allocated
Counts
47 → 5
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 c (*.f64 d d)) a)
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 (*.f64 c a) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)
(/.f64 a (*.f64 (/.f64 d c) d))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 b (/.f64 d c)) c)
(/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 d b (*.f64 a c)) (*.f64 d d))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 a (fma.f64 d (/.f64 b a) c)) (*.f64 c c))
(/.f64 (*.f64 b (fma.f64 c (/.f64 a b) d)) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
(/.f64 (fma.f64 a (/.f64 #s(literal 1 binary64) (/.f64 d c)) b) d)
(/.f64 (*.f64 a (fma.f64 d (/.f64 b a) c)) (fma.f64 c c (*.f64 d d)))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 (*.f64 c (*.f64 c c)) (/.f64 c (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))))
(/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(/.f64 b d)
Calls

5 calls:

13.0ms
d
13.0ms
b
12.0ms
c
12.0ms
a
12.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
71.5%3a
70.2%2b
86.6%5c
89.3%5d
79.0%3(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes19.0ms (0.2%)

Memory
-23.5MiB live, 19.7MiB allocated
Counts
44 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 c (*.f64 d d)) a)
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 (*.f64 c a) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)
(/.f64 a (*.f64 (/.f64 d c) d))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 b (/.f64 d c)) c)
(/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 d b (*.f64 a c)) (*.f64 d d))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 a (fma.f64 d (/.f64 b a) c)) (*.f64 c c))
(/.f64 (*.f64 b (fma.f64 c (/.f64 a b) d)) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
(/.f64 (fma.f64 a (/.f64 #s(literal 1 binary64) (/.f64 d c)) b) d)
(/.f64 (*.f64 a (fma.f64 d (/.f64 b a) c)) (fma.f64 c c (*.f64 d d)))
Outputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
Calls

1 calls:

17.0ms
d
Results
AccuracySegmentsBranch
86.8%4d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
35 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 c (*.f64 d d)) a)
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 (*.f64 c a) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)
(/.f64 a (*.f64 (/.f64 d c) d))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 b (/.f64 d c)) c)
(/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 d b (*.f64 a c)) (*.f64 d d))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
Outputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
86.8%4d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 c (*.f64 d d)) a)
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 (*.f64 c a) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)
(/.f64 a (*.f64 (/.f64 d c) d))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 b (/.f64 d c)) c)
(/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 d b (*.f64 a c)) (*.f64 d d))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))
(/.f64 (/.f64 c (/.f64 d a)) d)
Outputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
85.1%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (0.3%)

Memory
-4.4MiB live, 35.2MiB allocated
Counts
29 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 c (*.f64 d d)) a)
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 (*.f64 c a) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)
(/.f64 a (*.f64 (/.f64 d c) d))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 b (/.f64 d c)) c)
(/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 d b (*.f64 a c)) (*.f64 d d))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
Outputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 a c)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
Calls

3 calls:

8.0ms
c
8.0ms
d
7.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
63.3%4(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
75.6%4c
78.1%4d
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes17.0ms (0.2%)

Memory
-16.0MiB live, 23.5MiB allocated
Counts
27 → 4
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 c (*.f64 d d)) a)
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 (*.f64 c a) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)
(/.f64 a (*.f64 (/.f64 d c) d))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 b (/.f64 d c)) c)
(/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 d b (*.f64 a c)) (*.f64 d d))
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
Outputs
(/.f64 b d)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 a c)
(/.f64 b d)
Calls

2 calls:

8.0ms
d
7.0ms
c
Results
AccuracySegmentsBranch
70.0%4c
75.2%4d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
(/.f64 a c)
(/.f64 b d)
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
(*.f64 a (/.f64 c (*.f64 d d)))
(*.f64 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 c (*.f64 d d)) a)
(/.f64 (*.f64 b d) (*.f64 d d))
(/.f64 (*.f64 c a) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)
(/.f64 a (*.f64 (/.f64 d c) d))
(/.f64 c (*.f64 d (/.f64 d a)))
(/.f64 (*.f64 b (/.f64 d c)) c)
(/.f64 (*.f64 c a) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))
Outputs
(/.f64 b d)
(/.f64 a c)
(/.f64 b d)
Calls

1 calls:

6.0ms
d
Results
AccuracySegmentsBranch
72.0%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory
-26.6MiB live, 13.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

2.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
1.0ms
d
1.0ms
c
1.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
44.8%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
44.8%1c
44.8%1a
44.8%1b
44.8%1d
Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch60.0ms (0.6%)

Memory
-16.1MiB live, 64.2MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.7790912498348245e+136
5.349303374543242e+145
18.0ms
4.486401227362363e-104
4.083073130354001e-103
13.0ms
-943332237.7078207
-1992.7966514161506
12.0ms
-1.9855709742570215e+87
-1.36404037212836e+84
Samples
40.0ms512×0valid
Compiler

Compiled 1 225 to 640 computations (47.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 20.0ms (73.7% of total)
ival-add: 4.0ms (14.7% of total)
ival-div: 3.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Memory
-2.9MiB live, 36.4MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.4696769680067766
57.9166661730459
14.0ms
-3.113027894620893e-79
-1.569438327880271e-96
14.0ms
-1.4189062104546111e+94
-1.9855709742570215e+87
Samples
26.0ms416×0valid
Compiler

Compiled 807 to 479 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (60.7% of total)
ival-add: 3.0ms (20.2% of total)
ival-div: 2.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Memory
15.1MiB live, 15.1MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.4696769680067766
57.9166661730459
14.0ms
-3.113027894620893e-79
-1.569438327880271e-96
13.0ms
-1.4189062104546111e+94
-1.9855709742570215e+87
Samples
25.0ms416×0valid
Compiler

Compiled 793 to 472 computations (40.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (61.8% of total)
ival-add: 3.0ms (20.6% of total)
ival-div: 2.0ms (13.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch87.0ms (0.9%)

Memory
-23.6MiB live, 15.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.4696769680067766
57.9166661730459
74.0ms
-943332237.7078207
-1992.7966514161506
Samples
77.0ms256×0valid
Compiler

Compiled 438 to 274 computations (37.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-div: 62.0ms (88.2% of total)
ival-mult: 6.0ms (8.5% of total)
ival-add: 2.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory
-4.1MiB live, 34.8MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.4696769680067766
57.9166661730459
11.0ms
-4.557080385625966e-285
-1.0899199112485164e-288
10.0ms
-1992.7966514161506
-66.0238358747608
Samples
21.0ms352×0valid
Compiler

Compiled 549 to 355 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (64% of total)
ival-add: 3.0ms (24% of total)
ival-div: 2.0ms (16% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory
30.1MiB live, 30.1MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.4696769680067766
57.9166661730459
11.0ms
-4.557080385625966e-285
-1.0899199112485164e-288
11.0ms
-505021889583.3566
-943332237.7078207
Samples
22.0ms368×0valid
Compiler

Compiled 502 to 342 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (60.9% of total)
ival-add: 3.0ms (22.8% of total)
ival-div: 2.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory
-24.0MiB live, 17.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.4696769680067766
57.9166661730459
13.0ms
-505021889583.3566
-943332237.7078207
Samples
16.0ms240×0valid
Compiler

Compiled 262 to 198 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (68.5% of total)
ival-add: 2.0ms (19.6% of total)
ival-div: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Algorithm
1×egg-herbie
Rules
4×if-if-or-not_binary32
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087292
194292
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 d #s(literal -1950000000000000097547319167721640284739142449106331890104380756684968461914981259018240 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -2000 binary64)) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))) (if (<=.f64 d #s(literal 5446933336589573/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 52000000000000000541595059119653763690646666211320547889510910566898202543565174619889909715829925534732388868924791511593454744483391284575207424 binary64)) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7883901492465871/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3152519739159347/4503599627370496 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))))
(if (<=.f64 d #s(literal -3999999999999999865936450861855600199300744370480502011918698389236719021749516922746044416 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -6719234226533413/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 27/2 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -3250000 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 4278419646001971/1125899906842624 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 d #s(literal -92 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -2544832942067385/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) (if (<=.f64 d #s(literal 1080863910568919/2251799813685248 binary64)) (/.f64 a c) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -2700000000 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal -2076047926423393/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) (if (<=.f64 d #s(literal 5404319552844595/2251799813685248 binary64)) (/.f64 a c) (/.f64 b d))))
(if (<=.f64 d #s(literal -3600000000 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 45 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)
Outputs
(if (<=.f64 d #s(literal -1950000000000000097547319167721640284739142449106331890104380756684968461914981259018240 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -2000 binary64)) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))) (if (<=.f64 d #s(literal 5446933336589573/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 52000000000000000541595059119653763690646666211320547889510910566898202543565174619889909715829925534732388868924791511593454744483391284575207424 binary64)) (fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7883901492465871/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3152519739159347/4503599627370496 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))))
(if (<=.f64 d #s(literal -30999999999999999752554979200097081197898049204051385683082698316861865657038334330375503872 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7883901492465871/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (/.f64 (fma.f64 a c (*.f64 d b)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3152519739159347/4503599627370496 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)))))
(if (<=.f64 d #s(literal -3999999999999999865936450861855600199300744370480502011918698389236719021749516922746044416 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -6719234226533413/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 27/2 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -3999999999999999865936450861855600199300744370480502011918698389236719021749516922746044416 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -6719234226533413/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (/.f64 (fma.f64 a c (*.f64 d b)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 27/2 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -3250000 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 4278419646001971/1125899906842624 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 d #s(literal -92 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -2544832942067385/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) (if (<=.f64 d #s(literal 1080863910568919/2251799813685248 binary64)) (/.f64 a c) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -92 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -2544832942067385/669692879491417075592765655662501131600878007315958504652343992731469406953085076558248986759809911329746670573470716765741965803557696277249036098418660925245910485926514436588817162816398196367372136384565404686473871329212422972447846496629816432160699779855408885478776864478289024177325354254336 binary64)) (/.f64 (fma.f64 a c (*.f64 d b)) (*.f64 c c)) (if (<=.f64 d #s(literal 1080863910568919/2251799813685248 binary64)) (/.f64 a c) (/.f64 (fma.f64 a (/.f64 c d) b) d))))
(if (<=.f64 d #s(literal -2700000000 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal -2076047926423393/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) (if (<=.f64 d #s(literal 5404319552844595/2251799813685248 binary64)) (/.f64 a c) (/.f64 b d))))
(if (<=.f64 d #s(literal -2700000000 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal -2076047926423393/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) (/.f64 (fma.f64 a c (*.f64 d b)) (*.f64 c c)) (if (<=.f64 d #s(literal 5404319552844595/2251799813685248 binary64)) (/.f64 a c) (/.f64 b d))))
(if (<=.f64 d #s(literal -3600000000 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 45 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)

soundness617.0ms (6.2%)

Memory
-11.2MiB live, 260.5MiB allocated
Rules
7 676×accelerator-lowering-fma.f32
7 676×accelerator-lowering-fma.f64
7 526×accelerator-lowering-fma.f32
7 526×accelerator-lowering-fma.f64
5 970×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861356
16181346
218921322
357631320
081851190
01132
15132
242832
3506232
0875228
03084690
19904654
230254598
374664598
088164278
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 597 to 256 computations (57.1% saved)

preprocess74.0ms (0.7%)

Memory
27.2MiB live, 105.4MiB allocated
Compiler

Compiled 728 to 236 computations (67.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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