Complex division, real part

Time bar (total: 12.3s)

analyze25.0ms (0.2%)

Memory
5.1MiB live, 44.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample845.0ms (6.9%)

Memory
16.4MiB live, 1 439.9MiB allocated
Samples
604.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 372.0ms
ival-mult: 228.0ms (61.3% of total)
ival-add: 79.0ms (21.3% of total)
ival-div: 55.0ms (14.8% of total)
ival-true: 6.0ms (1.6% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess331.0ms (2.7%)

Memory
9.5MiB live, 44.7MiB allocated
Algorithm
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
iter limit
saturated
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)))

explain134.0ms (1.1%)

Memory
-12.2MiB live, 230.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1060-4(8.991259845696346e-188 2.0862118241510425e-156 -1.6054234702089925e-156 6.622051209561944e-161)(/.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/o500
(+.f64 (*.f64 a c) (*.f64 b d))overflow60
(*.f64 a c)overflow26
(*.f64 b d)overflow36
(+.f64 (*.f64 c c) (*.f64 d d))overflow105
(*.f64 c c)overflow67
(*.f64 d d)overflow59
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o320
(+.f64 (*.f64 c c) (*.f64 d d))overflow105
(*.f64 c c)overflow67
(*.f64 d d)overflow59
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n100
(+.f64 (*.f64 a c) (*.f64 b d))overflow60
(*.f64 a c)overflow26
(*.f64 b d)overflow36
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u70
(+.f64 (*.f64 c c) (*.f64 d d))underflow20
(*.f64 c c)underflow69
(*.f64 d d)underflow68
/.f64(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u20
(+.f64 (*.f64 a c) (*.f64 b d))underflow3
(*.f64 a c)underflow34
(*.f64 b d)underflow29
(+.f64 (*.f64 c c) (*.f64 d d))underflow20
(*.f64 c c)underflow69
(*.f64 d d)underflow68
/.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))underflow3
(*.f64 a c)underflow34
(*.f64 b d)underflow29
Confusion
Predicted +Predicted -
+1024
-0150
Precision
1.0
Recall
0.9622641509433962
Confusion?
Predicted +Predicted MaybePredicted -
+10204
-00150
Precision?
1.0
Recall?
0.9622641509433962
Freqs
test
numberfreq
0154
1102
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms512×0valid
Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 14.0ms (62.6% of total)
ival-add: 4.0ms (17.9% of total)
ival-div: 3.0ms (13.4% 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
60.8%
(/.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
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
+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
11545
01541
Stop Event
iter limit
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)

localize32.0ms (0.3%)

Memory
-14.9MiB live, 62.4MiB 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))
accuracy61.2%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
21.0ms256×0valid
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 (58% of total)
ival-div: 2.0ms (19.3% of total)
ival-add: 2.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB 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
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)))
1.0ms
b
@0
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
0.0ms
b
@0
(+ (* a c) (* b d))

rewrite431.0ms (3.5%)

Memory
18.8MiB live, 606.4MiB allocated
Algorithm
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
iter limit
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))))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b d))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))) #s(literal -1 binary64)))
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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)

simplify909.0ms (7.4%)

Memory
-12.0MiB live, 401.5MiB allocated
Algorithm
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
iter limit
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))

eval280.0ms (2.3%)

Memory
-20.2MiB live, 93.0MiB allocated
Compiler

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

prune94.0ms (0.8%)

Memory
14.3MiB live, 97.1MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New46716483
Fresh000
Picked101
Done000
Total46816484
Accuracy
99.3%
Counts
484 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(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))))
48.7%
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
50.7%
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
60.8%
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
52.4%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
37.4%
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
56.4%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
60.8%
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
39.5%
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
35.3%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
37.2%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
48.6%
(/.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)
48.3%
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 d d)) c))) c)) c)
42.8%
(/.f64 b d)
43.0%
(/.f64 a c)
60.2%
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
Compiler

Compiled 500 to 286 computations (42.8% saved)

simplify14.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d 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 d d)
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(fma.f64 a c (*.f64 b d))
cost-diff0
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
cost-diff0
(*.f64 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-diff0
(/.f64 a c)
cost-diff0
(*.f64 c c)
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(/.f64 d (fma.f64 d d (*.f64 c c)))
cost-diff1408
(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))))
Rules
140×*-lowering-*.f32
140×*-lowering-*.f64
120×accelerator-lowering-fma.f32
120×accelerator-lowering-fma.f64
58×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024198
140198
259198
3119174
4171174
5199174
6213174
7225174
8249174
9263174
10265174
0265158
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* b (/ d (+ (* d d) (* c c)))) (/ (+ (* a c) 0) (+ (* d d) (* c c))))
b
(/ d (+ (* d d) (* c c)))
d
(+ (* d d) (* c c))
(* c c)
c
(/ (+ (* a c) 0) (+ (* d d) (* c c)))
(+ (* a c) 0)
a
0
(/ a c)
a
c
(/ (+ (* b d) 0) (+ (* d d) (* c c)))
(+ (* b d) 0)
b
d
0
(+ (* d d) (* c c))
(* c c)
c
(/ (+ (* 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) (* 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
(+ (* b (/ d (+ (* d d) (* c c)))) (/ (+ (* a c) 0) (+ (* d d) (* c c))))
(/.f64 (fma.f64 b d (fma.f64 c a #s(literal 0 binary64))) (fma.f64 d d (*.f64 c c)))
b
(/ d (+ (* d d) (* c c)))
(/.f64 d (fma.f64 d d (*.f64 c c)))
d
(+ (* d d) (* c c))
(fma.f64 d d (*.f64 c c))
(* c c)
(*.f64 c c)
c
(/ (+ (* a c) 0) (+ (* d d) (* c c)))
(/.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(+ (* a c) 0)
(fma.f64 c a #s(literal 0 binary64))
a
0
#s(literal 0 binary64)
(/ a c)
(/.f64 a c)
a
c
(/ (+ (* b d) 0) (+ (* d d) (* c c)))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
(+ (* b d) 0)
(fma.f64 b d #s(literal 0 binary64))
b
d
0
#s(literal 0 binary64)
(+ (* d d) (* c c))
(fma.f64 d d (*.f64 c c))
(* c c)
(*.f64 c c)
c
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(/.f64 (fma.f64 b d (fma.f64 c a #s(literal 0 binary64))) (fma.f64 d d (*.f64 c c)))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 c a #s(literal 0 binary64)))
a
c
(* b d)
(fma.f64 b d #s(literal 0 binary64))
b
d
(+ (* c c) (* d d))
(fma.f64 d d (*.f64 c c))
(* d d)
(*.f64 d d)
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))
(/.f64 (fma.f64 b d (fma.f64 c a #s(literal 0 binary64))) (fma.f64 d d (*.f64 c c)))
(+ (* a c) (* b d))
(fma.f64 b d (fma.f64 c a #s(literal 0 binary64)))
a
c
(* b d)
(fma.f64 b d #s(literal 0 binary64))
b
d
(/ 1 (+ (* c c) (* d d)))
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
1
#s(literal 1 binary64)
(+ (* c c) (* d d))
(fma.f64 d d (*.f64 c c))
(* d d)
(*.f64 d d)

localize159.0ms (1.3%)

Memory
-10.6MiB live, 118.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 a c (*.f64 b d))
accuracy100.0%
(fma.f64 c c (*.f64 d d))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
accuracy61.0%
(*.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%
(fma.f64 a c (*.f64 b d))
accuracy100.0%
(fma.f64 c c (*.f64 d d))
accuracy61.2%
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
accuracy100.0%
(fma.f64 b d #s(literal 0 binary64))
accuracy100.0%
(*.f64 c c)
accuracy100.0%
(fma.f64 d d (*.f64 c c))
accuracy69.1%
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
accuracy100.0%
(/.f64 a c)
accuracy100.0%
(fma.f64 d d (*.f64 c c))
accuracy97.6%
(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))))
accuracy74.2%
(/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))
accuracy70.5%
(/.f64 d (fma.f64 d d (*.f64 c c)))
Samples
127.0ms256×0valid
Compiler

Compiled 174 to 26 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-div: 71.0ms (81.8% of total)
ival-mult: 9.0ms (10.4% of total)
ival-add: 6.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.5%)

Memory
-16.2MiB live, 22.5MiB allocated
Counts
15 → 456
Calls
Call 1
Inputs
#<alt (+ (* b (/ d (+ (* d d) (* c c)))) (/ (+ (* a c) 0) (+ (* d d) (* c c))))>
#<alt (/ d (+ (* d d) (* c c)))>
#<alt (+ (* d d) (* c c))>
#<alt (* c c)>
#<alt (/ a c)>
#<alt (/ (+ (* b d) 0) (+ (* d d) (* c c)))>
#<alt (+ (* b d) 0)>
#<alt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* c c) (* d d))>
#<alt (* d d)>
#<alt (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))>
#<alt (/ 1 (+ (* c c) (* d d)))>
#<alt (/ (+ (* a c) 0) (+ (* d d) (* c c)))>
#<alt (* b d)>
Outputs
#<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 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))>
#<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 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) 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))))))))>
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#<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))>
#<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) (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)>
#<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 (* 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)>
Calls

114 calls:

TimeVariablePointExpression
33.0ms
d
@-inf
(+ (* b (/ d (+ (* d d) (* c c)))) (/ (+ (* a c) 0) (+ (* d d) (* c c))))
3.0ms
c
@-inf
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))
1.0ms
d
@inf
(/ (+ (* a c) 0) (+ (* d d) (* c c)))
1.0ms
b
@0
(+ (* b (/ d (+ (* d d) (* c c)))) (/ (+ (* a c) 0) (+ (* d d) (* c c))))
1.0ms
d
@inf
(/ d (+ (* d d) (* c c)))

rewrite1.1s (9.2%)

Memory
-27.1MiB live, 584.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 296×accelerator-lowering-fma.f32
6 296×accelerator-lowering-fma.f64
4 644×/-lowering-/.f32
4 644×/-lowering-/.f64
3 326×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024145
1155121
21719121
08469108
Stop Event
iter limit
node limit
Counts
15 → 1 199
Calls
Call 1
Inputs
(+ (* b (/ d (+ (* d d) (* c c)))) (/ (+ (* a c) 0) (+ (* d d) (* c c))))
(/ d (+ (* d d) (* c c)))
(+ (* d d) (* c c))
(* c c)
(/ a c)
(/ (+ (* b d) 0) (+ (* d d) (* c c)))
(+ (* b d) 0)
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(+ (* a c) (* b d))
(+ (* c c) (* d d))
(* d d)
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))
(/ 1 (+ (* c c) (* d d)))
(/ (+ (* a c) 0) (+ (* d d) (* c c)))
(* b d)
Outputs
(+.f64 (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(+.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64))) (fma.f64 d d (*.f64 c c)))) (neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64))) (fma.f64 d d (*.f64 c c))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 b d (fma.f64 c a #s(literal 0 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b d (fma.f64 c a #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c)))))
(-.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64))) (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64))) (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 b d (fma.f64 c a #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)))) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64))))) (/.f64 (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64))))))
(-.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64))) (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64))) (fma.f64 d d (*.f64 c c)))))
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) b) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (fma.f64 c a #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) #s(literal 1 binary64) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (fma.f64 b d #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 #s(literal 1 binary64) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 b d #s(literal 0 binary64))))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c a #s(literal 0 binary64))))) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 c a #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b d #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 b d #s(literal 0 binary64)))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64))) (fma.f64 d d (*.f64 c c)))) (neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64))) (fma.f64 d d (*.f64 c c))))))
(fma.f64 (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c a #s(literal 0 binary64)))) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 c a #s(literal 0 binary64)) (fma.f64 c a #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c a #s(literal 0 binary64)) (/.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 b d #s(literal 0 binary64)) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c))))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))))
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(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 b d #s(literal 0 binary64)) (fma.f64 b d #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 b d #s(literal 0 binary64)))))

simplify720.0ms (5.9%)

Memory
39.3MiB live, 789.3MiB allocated
Algorithm
egg-herbie
Rules
9 416×accelerator-lowering-fma.f32
9 416×accelerator-lowering-fma.f64
5 256×*-lowering-*.f32
5 256×*-lowering-*.f64
2 992×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04885792
114835676
242825539
082245169
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
(/ (* 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 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))
(/ 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 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) 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))))))))
(/ d (pow c 2))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(/ 1 d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(/ 1 d)
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(/ 1 d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(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)
(/ 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)))
(/ (* 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)
(/ (* 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))
(* 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))))
(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)
(/ (* 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))
(/ (* 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) (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)
(+ (* -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))
(* 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)
Outputs
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) b)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) b)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) b)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))
(* -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 (fma.f64 c c (*.f64 d d)) b)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -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 (fma.f64 c c (*.f64 d d)) b)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -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 (fma.f64 c c (*.f64 d d)) b)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(fma.f64 d (/.f64 b (*.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 #s(literal 0 binary64) (*.f64 c (*.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 a c (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 c c) b) d))) 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 b (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (/.f64 (*.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (/.f64 c (*.f64 d d)) c)) 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 a c (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 c c) b) d))) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 a c) (/.f64 (fma.f64 a (/.f64 (*.f64 c (*.f64 c c)) d) (*.f64 (*.f64 c c) b)) d)) d)) d)
(/ 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 c (/.f64 b (-.f64 #s(literal 0 binary64) (*.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 (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 d (/.f64 b c) a) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (fma.f64 a (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 d d) c)) (*.f64 d b)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (/.f64 b c) (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) d))) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (fma.f64 d (/.f64 b c) a) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (fma.f64 a (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 d d) c)) (*.f64 d b)) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 d b) (/.f64 (fma.f64 a (*.f64 d d) (*.f64 b (/.f64 (*.f64 d (*.f64 d d)) c))) c)) c)) c)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d b) (fma.f64 c c (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(* 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 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* 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 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* 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 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(* -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 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* -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 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* -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 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(*.f64 d (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) (*.f64 c c)))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(*.f64 d (fma.f64 d (*.f64 d (fma.f64 d (/.f64 d (pow.f64 c #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(*.f64 d (fma.f64 (*.f64 d d) (fma.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 #s(literal -1 binary64) (*.f64 (*.f64 c c) (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) d))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (fma.f64 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))))) d))
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(/.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d)
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (fma.f64 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))))) d))
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(/.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(fma.f64 (*.f64 c c) (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(fma.f64 (*.f64 c c) (fma.f64 (*.f64 c c) (fma.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 c (pow.f64 d #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/.f64 (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) d) (*.f64 c c))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/.f64 (+.f64 d (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 c c))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/.f64 (+.f64 (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 c c))
(/ d (pow c 2))
(/.f64 d (*.f64 c c))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/.f64 (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) d) (*.f64 c c))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/.f64 (+.f64 d (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 c c))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
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(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) (*.f64 c c))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 c c))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (/.f64 d (*.f64 c c))))) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) (*.f64 c c))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(fma.f64 d (*.f64 d (fma.f64 d (/.f64 d (pow.f64 c #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 #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) (fma.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 #s(literal -1 binary64) (*.f64 (*.f64 c c) (*.f64 c c)))) (/.f64 #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 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) (*.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 (pow.f64 c #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 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 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) (*.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 (pow.f64 c #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) (*.f64 d d))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(*.f64 a (/.f64 c (fma.f64 c c (*.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 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 d d) (*.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 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 d #s(literal 6 binary64))) (/.f64 a (*.f64 (*.f64 d 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) (fma.f64 (-.f64 #s(literal 0 binary64) (*.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 (-.f64 #s(literal 0 binary64) a) (*.f64 (*.f64 d 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 #s(literal 0 binary64) (*.f64 a (fma.f64 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 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (/.f64 d (*.f64 c c)))) a) c)
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)
(/.f64 (-.f64 (*.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 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))))) a) (-.f64 #s(literal 0 binary64) c))
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 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 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (/.f64 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 (*.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 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))))) a) (-.f64 #s(literal 0 binary64) c))
(/ a c)
(/.f64 a c)
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (fma.f64 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) (fma.f64 (*.f64 d d) (/.f64 a (pow.f64 c #s(literal 5 binary64))) (/.f64 a (-.f64 #s(literal 0 binary64) (*.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 (*.f64 d d) (fma.f64 (-.f64 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.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 (*.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (/.f64 c (*.f64 d d)) c)) (*.f64 d d))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (*.f64 a (fma.f64 c (/.f64 (*.f64 c c) (-.f64 #s(literal 0 binary64) (*.f64 d d))) (+.f64 c (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d)))))) (*.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 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (*.f64 a (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 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 (*.f64 a (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (/.f64 c (*.f64 d d)) c)) (*.f64 d d))
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (*.f64 a (fma.f64 c (/.f64 (*.f64 c c) (-.f64 #s(literal 0 binary64) (*.f64 d d))) (+.f64 c (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d)))))) (*.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 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (*.f64 a (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))))) (*.f64 d d))
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)
(* b d)
(*.f64 d b)

eval273.0ms (2.2%)

Memory
5.0MiB live, 696.8MiB allocated
Compiler

Compiled 74 311 to 2 556 computations (96.6% saved)

prune249.0ms (2%)

Memory
4.2MiB live, 576.8MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New2 142122 154
Fresh7411
Picked415
Done000
Total2 153172 170
Accuracy
99.4%
Counts
2 170 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(fma.f64 b (/.f64 (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) d) (*.f64 c c)) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
45.9%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (/.f64 b c) (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) d))) c)
52.6%
(/.f64 (fma.f64 d (/.f64 b c) a) c)
52.4%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
21.3%
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
56.4%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
35.3%
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
37.1%
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
45.6%
(/.f64 (+.f64 b (/.f64 (fma.f64 a c (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 c c) b) d))) d)) d)
48.3%
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 d d)) c))) c)) c)
42.8%
(/.f64 b d)
43.0%
(/.f64 a c)
42.9%
(/.f64 #s(literal 1 binary64) (/.f64 c a))
40.5%
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
42.9%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
22.0%
(*.f64 d (/.f64 b (*.f64 c c)))
40.8%
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
Compiler

Compiled 509 to 295 computations (42% saved)

simplify738.0ms (6%)

Memory
-1.1MiB live, 1 040.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 a c (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 c c) b) d))) d)
cost-diff0
(/.f64 (+.f64 b (/.f64 (fma.f64 a c (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 c c) b) d))) d)) d)
cost-diff192
(+.f64 b (/.f64 (fma.f64 a c (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 c c) b) d))) d))
cost-diff384
(fma.f64 a c (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 c c) b) d)))
cost-diff-64
(*.f64 d d)
cost-diff-64
(*.f64 b d)
cost-diff0
(fma.f64 a c (*.f64 b d))
cost-diff0
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
cost-diff-64
(*.f64 c c)
cost-diff0
(fma.f64 b d #s(literal 0 binary64))
cost-diff0
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
cost-diff0
(/.f64 b d)
cost-diff0
(/.f64 c d)
cost-diff0
(fma.f64 a (/.f64 c d) b)
cost-diff0
(/.f64 (fma.f64 a (/.f64 c d) b) d)
Rules
29 704×accelerator-lowering-fma.f32
29 704×accelerator-lowering-fma.f64
3 400×*-lowering-*.f32
3 400×*-lowering-*.f64
2 856×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025161
148157
297149
3207149
4405149
5788149
61428149
73375149
84983149
96258149
106950149
117061149
127091149
137228149
147343149
157357149
167360149
177362149
187366149
197366149
08586143
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (* a (/ c d)) b) d)
(+ (* a (/ c d)) b)
a
(/ c d)
c
d
b
(/ b d)
b
d
(/ (+ (* b d) 0) (* c c))
(+ (* b d) 0)
b
d
0
(* c c)
c
(/ (+ (* a c) (* b d)) (* d d))
(+ (* a c) (* b d))
a
c
(* b d)
b
d
(* d d)
(/ (+ b (/ (+ (* a c) (- 0 (/ (* (* c c) b) d))) d)) d)
(+ b (/ (+ (* a c) (- 0 (/ (* (* c c) b) d))) d))
b
(/ (+ (* a c) (- 0 (/ (* (* c c) b) d))) d)
(+ (* a c) (- 0 (/ (* (* c c) b) d)))
a
c
(- 0 (/ (* (* c c) b) d))
0
(/ (* (* c c) b) d)
(* (* c c) b)
(* c c)
d
Outputs
(/ (+ (* a (/ c d)) b) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(+ (* a (/ c d)) b)
(fma.f64 a (/.f64 c d) b)
a
(/ c d)
(/.f64 c d)
c
d
b
(/ b d)
(/.f64 b d)
b
d
(/ (+ (* b d) 0) (* c c))
(fma.f64 d (/.f64 b (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)
(* c c)
(fma.f64 c c #s(literal 0 binary64))
c
(/ (+ (* a c) (* b d)) (* d d))
(/.f64 (fma.f64 a c (fma.f64 d b #s(literal 0 binary64))) (fma.f64 d d #s(literal 0 binary64)))
(+ (* a c) (* b d))
(fma.f64 a c (fma.f64 d b #s(literal 0 binary64)))
a
c
(* b d)
(fma.f64 d b #s(literal 0 binary64))
b
d
(* d d)
(fma.f64 d d #s(literal 0 binary64))
(/ (+ b (/ (+ (* a c) (- 0 (/ (* (* c c) b) d))) d)) d)
(/.f64 (fma.f64 (/.f64 c d) (-.f64 a (fma.f64 c (/.f64 b d) #s(literal 0 binary64))) b) d)
(+ b (/ (+ (* a c) (- 0 (/ (* (* c c) b) d))) d))
(fma.f64 (/.f64 c d) (-.f64 a (fma.f64 c (/.f64 b d) #s(literal 0 binary64))) b)
b
(/ (+ (* a c) (- 0 (/ (* (* c c) b) d))) d)
(fma.f64 (/.f64 c d) (-.f64 a (fma.f64 c (/.f64 b d) #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* a c) (- 0 (/ (* (* c c) b) d)))
(fma.f64 c (-.f64 a (fma.f64 c (/.f64 b d) #s(literal 0 binary64))) #s(literal 0 binary64))
a
c
(- 0 (/ (* (* c c) b) d))
(-.f64 #s(literal 0 binary64) (fma.f64 c (fma.f64 c (/.f64 b d) #s(literal 0 binary64)) #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(/ (* (* c c) b) d)
(fma.f64 c (fma.f64 c (/.f64 b d) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* c c) b)
(fma.f64 c (fma.f64 c b #s(literal 0 binary64)) #s(literal 0 binary64))
(* c c)
(fma.f64 c c #s(literal 0 binary64))
d

localize86.0ms (0.7%)

Memory
-16.8MiB live, 148.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy98.8%
(fma.f64 a c (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 c c) b) d)))
accuracy93.3%
(/.f64 (fma.f64 a c (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 c c) b) d))) d)
accuracy88.5%
(*.f64 (*.f64 c c) b)
accuracy88.1%
(/.f64 (*.f64 (*.f64 c c) b) d)
accuracy100.0%
(*.f64 d d)
accuracy100.0%
(*.f64 b d)
accuracy100.0%
(fma.f64 a c (*.f64 b d))
accuracy72.3%
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
accuracy100.0%
(fma.f64 b d #s(literal 0 binary64))
accuracy100.0%
(*.f64 c c)
accuracy77.3%
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
accuracy100.0%
(/.f64 b d)
accuracy100.0%
(/.f64 c d)
accuracy99.9%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
accuracy93.5%
(fma.f64 a (/.f64 c d) b)
Samples
54.0ms256×0valid
Compiler

Compiled 162 to 27 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 18.0ms (52.5% of total)
ival-mult: 9.0ms (26.2% of total)
ival-add: 6.0ms (17.5% of total)
ival-sub: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory
29.2MiB live, 67.3MiB allocated
Counts
17 → 600
Calls
Call 1
Inputs
#<alt (/ (+ (* a (/ c d)) b) d)>
#<alt (+ (* a (/ c d)) b)>
#<alt (/ c d)>
#<alt (/ b d)>
#<alt (/ (+ (* b d) 0) (* c c))>
#<alt (+ (* b d) 0)>
#<alt (* c c)>
#<alt (/ (+ (* a c) (* b d)) (* d d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d d)>
#<alt (+ (* a c) (- 0 (/ (* (* c c) b) d)))>
#<alt (+ b (/ (+ (* a c) (- 0 (/ (* (* c c) b) d))) d))>
#<alt (/ (+ b (/ (+ (* a c) (- 0 (/ (* (* c c) b) d))) d)) d)>
#<alt (/ (+ (* a c) (- 0 (/ (* (* c c) b) d))) d)>
#<alt (/ (* (* c c) b) d)>
#<alt (* (* c c) b)>
Outputs
#<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 (/ 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) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (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)>
#<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 (/ 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 (* 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 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 (* -1 (/ (* b (pow c 2)) d))>
#<alt (- (* a c) (/ (* b (pow c 2)) d))>
#<alt (- (* a c) (/ (* b (pow c 2)) d))>
#<alt (- (* a c) (/ (* b (pow c 2)) d))>
#<alt (* a c)>
#<alt (* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))>
#<alt (* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))>
#<alt (* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))>
#<alt (* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))>
#<alt (* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))>
#<alt (* a c)>
#<alt (* c (+ a (* -1 (/ (* b c) d))))>
#<alt (* c (+ a (* -1 (/ (* b c) d))))>
#<alt (* c (+ a (* -1 (/ (* b c) d))))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (* (pow c 2) (- (/ a c) (/ b d)))>
#<alt (* (pow c 2) (- (/ a c) (/ b d)))>
#<alt (* (pow c 2) (- (/ a c) (/ b d)))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (* (pow c 2) (- (/ a c) (/ b d)))>
#<alt (* (pow c 2) (- (/ a c) (/ b d)))>
#<alt (* (pow c 2) (- (/ a c) (/ b d)))>
#<alt (* a c)>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (* b (- (/ (* a c) b) (/ (pow c 2) d)))>
#<alt (* b (- (/ (* a c) b) (/ (pow c 2) d)))>
#<alt (* b (- (/ (* a c) b) (/ (pow c 2) d)))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (/ (- (* a (* c d)) (* b (pow c 2))) d)>
#<alt (/ (- (* a (* c d)) (* b (pow c 2))) d)>
#<alt (/ (- (* a (* c d)) (* b (pow c 2))) d)>
#<alt (* a c)>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (* a c)>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (/ (* a c) d)>
#<alt (+ (* b (- 1 (/ (pow c 2) (pow d 2)))) (/ (* a c) d))>
#<alt (+ (* b (- 1 (/ (pow c 2) (pow d 2)))) (/ (* a c) d))>
#<alt (+ (* b (- 1 (/ (pow c 2) (pow d 2)))) (/ (* a c) d))>
#<alt (* b (- 1 (/ (pow c 2) (pow d 2))))>
#<alt (* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))>
#<alt (* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))>
#<alt (* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))>
#<alt (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))>
#<alt (- b (/ (* b (pow c 2)) (pow d 2)))>
#<alt (- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))>
#<alt (- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))>
#<alt (- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))>
#<alt (/ (* a c) d)>
#<alt (* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))>
#<alt (* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))>
#<alt (* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))>
#<alt (+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2))))>
#<alt (* (pow c 2) (- (+ (/ a (* c d)) (/ b (pow c 2))) (/ b (pow d 2))))>
#<alt (* (pow c 2) (- (+ (/ a (* c d)) (/ b (pow c 2))) (/ b (pow d 2))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2))))>
#<alt (* (pow c 2) (- (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)) (/ b (pow d 2))))>
#<alt (* (pow c 2) (- (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)) (/ b (pow d 2))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (/ (- (* a (* c d)) (* b (pow c 2))) (pow d 2))>
#<alt (/ (- (* d (+ (* a c) (* b d))) (* b (pow c 2))) (pow d 2))>
#<alt (/ (- (* d (+ (* a c) (* b d))) (* b (pow c 2))) (pow d 2))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))>
#<alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))>
#<alt (+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2)))>
#<alt (+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2)))>
#<alt (+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2)))>
#<alt (/ (* b (- 1 (/ (pow c 2) (pow d 2)))) d)>
#<alt (* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))))>
#<alt (* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))))>
#<alt (* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))))>
#<alt (/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)>
#<alt (* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))))>
#<alt (* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))))>
#<alt (* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))))>
#<alt (/ (- b (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3)))>
#<alt (- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3)))>
#<alt (- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3)))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3)))))>
#<alt (* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3)))))>
#<alt (* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3)))))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a)))))>
#<alt (* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a)))))>
#<alt (* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a)))))>
#<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 (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 3)))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 3)))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 3)))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))>
#<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 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) 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 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))>
#<alt (/ (* a c) d)>
#<alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))>
#<alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))>
#<alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (/ (* a c) d)>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))>
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))>
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))>
#<alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))>
#<alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))>
#<alt (/ (* a c) d)>
#<alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)>
#<alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)>
#<alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)>
#<alt (/ (* a c) d)>
#<alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))>
#<alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))>
#<alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
Calls

150 calls:

TimeVariablePointExpression
6.0ms
b
@0
(+ b (/ (+ (* a c) (- 0 (/ (* (* c c) b) d))) d))
2.0ms
d
@-inf
(+ (* a c) (- 0 (/ (* (* c c) b) d)))
1.0ms
d
@-inf
(/ (+ (* a (/ c d)) b) d)
0.0ms
b
@inf
(/ (+ (* b d) 0) (* c c))
0.0ms
a
@0
(/ (+ (* a (/ c d)) b) d)

rewrite796.0ms (6.5%)

Memory
-2.3MiB live, 708.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 720×accelerator-lowering-fma.f32
8 720×accelerator-lowering-fma.f64
5 364×/-lowering-/.f32
5 364×/-lowering-/.f64
4 658×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025131
1166127
21603127
08524123
Stop Event
iter limit
node limit
Counts
17 → 1 291
Calls
Call 1
Inputs
(/ (+ (* a (/ c d)) b) d)
(+ (* a (/ c d)) b)
(/ c d)
(/ b d)
(/ (+ (* b d) 0) (* c c))
(+ (* b d) 0)
(* c c)
(/ (+ (* a c) (* b d)) (* d d))
(+ (* a c) (* b d))
(* b d)
(* d d)
(+ (* a c) (- 0 (/ (* (* c c) b) d)))
(+ b (/ (+ (* a c) (- 0 (/ (* (* c c) b) d))) d))
(/ (+ b (/ (+ (* a c) (- 0 (/ (* (* c c) b) d))) d)) d)
(/ (+ (* a c) (- 0 (/ (* (* c c) b) d))) d)
(/ (* (* c c) b) d)
(* (* c c) b)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) d)) (/.f64 (fma.f64 a (/.f64 c d) b) (-.f64 #s(literal 0 binary64) d)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d)) (-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b)) d) (/.f64 (/.f64 (*.f64 b b) (-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b)) d))
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d)) (*.f64 d (-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b))) (/.f64 (*.f64 b b) (*.f64 d (-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b))))
(neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (-.f64 #s(literal 0 binary64) d)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c d) b)) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c d) b)) (-.f64 #s(literal 0 binary64) d))
(/.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))))) (*.f64 d (*.f64 d d)))) (*.f64 d (fma.f64 b (-.f64 b (/.f64 (fma.f64 a c #s(literal 0 binary64)) d)) (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)))))
(/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d)) (*.f64 b b)) (*.f64 d (-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (-.f64 b (/.f64 (fma.f64 a c #s(literal 0 binary64)) d)) (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d))) d))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b) d))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c d) b))) (neg.f64 (-.f64 #s(literal 0 binary64) d)))
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))))) (*.f64 d (*.f64 d d))))) (neg.f64 (*.f64 d (fma.f64 b (-.f64 b (/.f64 (fma.f64 a c #s(literal 0 binary64)) d)) (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d)) (*.f64 b b))) (neg.f64 (*.f64 d (-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b))))
(/.f64 (*.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64)) d)
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d)) (fma.f64 b (-.f64 b (/.f64 (fma.f64 a c #s(literal 0 binary64)) d)) (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) d)) (-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b (/.f64 (fma.f64 a c #s(literal 0 binary64)) d)) (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d))) d)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d)) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b) d)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c d) b)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) d))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) d))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d))) (neg.f64 (fma.f64 b (-.f64 b (/.f64 (fma.f64 a c #s(literal 0 binary64)) d)) (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) d))) (neg.f64 (-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b)))
(pow.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 (-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b) (-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c d) b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (/.f64 c d) b) d))
(*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 a (/.f64 c d) b))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 d (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (fma.f64 a c #s(literal 0 binary64)) (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64))))) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (/.f64 (fma.f64 a c #s(literal 0 binary64)) d)) (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d)))))
(*.f64 (pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b)))
(*.f64 (/.f64 (fma.f64 b (-.f64 b (/.f64 (fma.f64 a c #s(literal 0 binary64)) d)) (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d))) d) (/.f64 (fma.f64 a (/.f64 c d) b) (fma.f64 b (-.f64 b (/.f64 (fma.f64 a c #s(literal 0 binary64)) d)) (/.f64 (*.f64 a (*.f64 c (fma.f64 a c #s(literal 0 binary64)))) (*.f64 d d)))))
(+.f64 (/.f64 (fma.f64 a c #s(literal 0 binary64)) d) b)
(+.f64 b (/.f64 (fma.f64 a c #s(literal 0 binary64)) d))
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 c b)))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64))) (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c b)) (*.f64 c (*.f64 c b))) c) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (*.f64 c (/.f64 b d))))
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c b)) (*.f64 c (*.f64 c b))) c) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))))
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c b)) (*.f64 c (*.f64 c b))) c) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (/.f64 (*.f64 c b) d)))
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c b)) (*.f64 c (*.f64 c b))) b) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) d))))
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c b)) (*.f64 c (*.f64 c b))) b) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (/.f64 (*.f64 c c) d)))
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c b)) (*.f64 c (*.f64 c b))) (/.f64 b d)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (*.f64 c c)))
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c b)) (*.f64 c (*.f64 c b))) (*.f64 c c)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (/.f64 b d)))
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c b)) (*.f64 c (*.f64 c b))) (*.f64 c (*.f64 c b))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c b)) (*.f64 c (*.f64 c b))) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 c b)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))))
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c b)) (*.f64 c (*.f64 c b))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c b)) (*.f64 c (*.f64 c b))) (/.f64 #s(literal 1 binary64) d)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (*.f64 c (*.f64 c b))))
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) c) (/.f64 (*.f64 (/.f64 b d) (/.f64 b d)) (*.f64 c (/.f64 b d))))
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) c) (/.f64 (*.f64 (/.f64 b d) (/.f64 b d)) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))))
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) c) (/.f64 (*.f64 (/.f64 b d) (/.f64 b d)) (/.f64 (*.f64 c b) d)))
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) b) (/.f64 (*.f64 (/.f64 b d) (/.f64 b d)) (*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) d))))
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) b) (/.f64 (*.f64 (/.f64 b d) (/.f64 b d)) (/.f64 (*.f64 c c) d)))
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (/.f64 b d)) (/.f64 (*.f64 (/.f64 b d) (/.f64 b d)) (*.f64 c c)))
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 c c)) (/.f64 (*.f64 (/.f64 b d) (/.f64 b d)) (/.f64 b d)))
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 c (*.f64 c b))) (/.f64 (*.f64 (/.f64 b d) (/.f64 b d)) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 c b)))) (/.f64 (*.f64 (/.f64 b d) (/.f64 b d)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))))
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 b d) (/.f64 b d)) (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (/.f64 #s(literal 1 binary64) d)) (/.f64 (*.f64 (/.f64 b d) (/.f64 b d)) (*.f64 c (*.f64 c b))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c c)) c) (/.f64 (/.f64 b d) (*.f64 c (/.f64 b d))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c c)) c) (/.f64 (/.f64 b d) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c c)) c) (/.f64 (/.f64 b d) (/.f64 (*.f64 c b) d)))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c c)) b) (/.f64 (/.f64 b d) (*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) d))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c c)) b) (/.f64 (/.f64 b d) (/.f64 (*.f64 c c) d)))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c c)) (/.f64 b d)) (/.f64 (/.f64 b d) (*.f64 c c)))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c c)) (*.f64 c c)) (/.f64 (/.f64 b d) (/.f64 b d)))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c c)) (*.f64 c (*.f64 c b))) (/.f64 (/.f64 b d) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 c b)))) (/.f64 (/.f64 b d) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c c)) #s(literal 1 binary64)) (/.f64 (/.f64 b d) (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c c)) (/.f64 #s(literal 1 binary64) d)) (/.f64 (/.f64 b d) (*.f64 c (*.f64 c b))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c (*.f64 c b))) c) (/.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 b d))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c (*.f64 c b))) c) (/.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) d))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c (*.f64 c b))) c) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c b) d)))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c (*.f64 c b))) b) (/.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) d))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c (*.f64 c b))) b) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c c) d)))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c (*.f64 c b))) (/.f64 b d)) (/.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c c)))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c (*.f64 c b))) (*.f64 c c)) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 b d)))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c (*.f64 c b))) (*.f64 c (*.f64 c b))) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c (*.f64 c b))) (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 c b)))) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c (*.f64 c b))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 b d) (*.f64 c c) #s(literal 0 binary64)) (*.f64 c (*.f64 c b))) (/.f64 #s(literal 1 binary64) d)) (/.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (*.f64 c b))))
(*.f64 c (*.f64 c b))
(*.f64 b (*.f64 c c))
(*.f64 (*.f64 c c) b)
(*.f64 (*.f64 c b) c)

simplify535.0ms (4.4%)

Memory
5.8MiB live, 671.8MiB allocated
Algorithm
egg-herbie
Rules
13 058×accelerator-lowering-fma.f32
13 058×accelerator-lowering-fma.f64
5 256×*-lowering-*.f32
5 256×*-lowering-*.f64
3 154×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02655376
18965216
229355019
374564995
082594832
Stop Event
iter limit
node limit
Counts
600 → 600
Calls
Call 1
Inputs
(/ 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))
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(* -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))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
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(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
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(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
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(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/ (* a c) (pow d 2))
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(/ b d)
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(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
b
(+ b (/ (* a c) d))
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(* a (+ (/ b a) (/ c d)))
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(* 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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(/ (* a c) d)
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(* c (+ (/ a d) (/ b c)))
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(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
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(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
b
(+ b (/ (* a c) d))
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b
(+ b (/ (* a c) d))
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(/ (* 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)
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(/ b d)
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(/ (* b d) (pow c 2))
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(/ (* b d) (pow c 2))
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(* 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)
(* 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)
(* -1 (/ (* b (pow c 2)) d))
(- (* a c) (/ (* b (pow c 2)) d))
(- (* a c) (/ (* b (pow c 2)) d))
(- (* a c) (/ (* b (pow c 2)) d))
(* a c)
(* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))
(* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))
(* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))
(* a c)
(* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))
(* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))
(* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))
(* a c)
(* c (+ a (* -1 (/ (* b c) d))))
(* c (+ a (* -1 (/ (* b c) d))))
(* c (+ a (* -1 (/ (* b c) d))))
(* -1 (/ (* b (pow c 2)) d))
(* (pow c 2) (- (/ a c) (/ b d)))
(* (pow c 2) (- (/ a c) (/ b d)))
(* (pow c 2) (- (/ a c) (/ b d)))
(* -1 (/ (* b (pow c 2)) d))
(* (pow c 2) (- (/ a c) (/ b d)))
(* (pow c 2) (- (/ a c) (/ b d)))
(* (pow c 2) (- (/ a c) (/ b d)))
(* a c)
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(* -1 (/ (* b (pow c 2)) d))
(* b (- (/ (* a c) b) (/ (pow c 2) d)))
(* b (- (/ (* a c) b) (/ (pow c 2) d)))
(* b (- (/ (* a c) b) (/ (pow c 2) d)))
(* -1 (/ (* b (pow c 2)) d))
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))
(* -1 (/ (* b (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))) d)
(* a c)
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(* a c)
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(/ (* a c) d)
(+ (* b (- 1 (/ (pow c 2) (pow d 2)))) (/ (* a c) d))
(+ (* b (- 1 (/ (pow c 2) (pow d 2)))) (/ (* a c) d))
(+ (* b (- 1 (/ (pow c 2) (pow d 2)))) (/ (* a c) d))
(* b (- 1 (/ (pow c 2) (pow d 2))))
(* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))
(* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))
(* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))
(* b (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))
(- b (/ (* b (pow c 2)) (pow d 2)))
(- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))
(- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))
(- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))
(/ (* a c) d)
(* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))
(* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))
(* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))
b
(+ b (/ (* a c) d))
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2))))
(* (pow c 2) (- (+ (/ a (* c d)) (/ b (pow c 2))) (/ b (pow d 2))))
(* (pow c 2) (- (+ (/ a (* c d)) (/ b (pow c 2))) (/ b (pow d 2))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2))))
(* (pow c 2) (- (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)) (/ b (pow d 2))))
(* (pow c 2) (- (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)) (/ b (pow d 2))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/ (- (* a (* c d)) (* b (pow c 2))) (pow d 2))
(/ (- (* d (+ (* a c) (* b d))) (* b (pow c 2))) (pow d 2))
(/ (- (* d (+ (* a c) (* b d))) (* b (pow c 2))) (pow d 2))
b
(+ b (/ (* a c) d))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
b
(+ b (/ (* a c) d))
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))
(/ (* a c) (pow d 2))
(+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2)))
(+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2)))
(+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2)))
(/ (* b (- 1 (/ (pow c 2) (pow d 2)))) d)
(* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))))
(* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))))
(* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))))
(/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)
(* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))))
(/ (- b (/ (* b (pow c 2)) (pow d 2))) d)
(- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3)))
(- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3)))
(- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3)))
(/ (* a c) (pow d 2))
(* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3)))))
(* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3)))))
(* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3)))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a)))))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a)))))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a)))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) 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 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/ (* a c) d)
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(/ (* a c) d)
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(/ (* a c) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/ (* a c) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/ (* a c) d)
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 a c) (*.f64 d d))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d))))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 a c) (*.f64 d d))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 a c) (*.f64 d d))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 a c) (*.f64 d d))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))))
(/ (* a c) (pow d 2))
(/.f64 (*.f64 a c) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (fma.f64 a (/.f64 c d) b) 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 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/ (* a c) (pow d 2))
(/.f64 (*.f64 a c) (*.f64 d d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(+ (/ b d) (/ (* a c) (pow d 2)))
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))
(/ b d)
(/.f64 b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) d)))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) d)))
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) d)))
(/ b d)
(/.f64 b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) d)))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) d)))
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (*.f64 d d))) (/.f64 #s(literal 1 binary64) d)))
b
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(+ b (/ (* a c) d))
(fma.f64 a (/.f64 c d) b)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* a (+ (/ b a) (/ c d)))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(*.f64 a (+.f64 (/.f64 b a) (/.f64 c d)))
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(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))
(/.f64 (-.f64 (*.f64 d (fma.f64 b d (*.f64 a c))) (*.f64 b (*.f64 c c))) (*.f64 d (*.f64 d d)))
(/ 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 (fma.f64 (-.f64 a (*.f64 c (/.f64 b d))) (/.f64 c d) b) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (fma.f64 (-.f64 a (*.f64 c (/.f64 b d))) (/.f64 c d) b) 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 (fma.f64 (-.f64 a (*.f64 c (/.f64 b d))) (/.f64 c d) b) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (fma.f64 (-.f64 a (*.f64 c (/.f64 b d))) (/.f64 c d) b) d)
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d)))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d a)))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d a)))))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d a)))))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d a)))))
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d a)))))
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d (*.f64 d a)))))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(*.f64 c (*.f64 c (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(*.f64 c (*.f64 c (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(*.f64 c (*.f64 c (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d)))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(*.f64 c (*.f64 c (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(*.f64 c (*.f64 c (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(*.f64 c (*.f64 c (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d)))))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d)))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(*.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 b d)) (/.f64 c (*.f64 d d)))))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(*.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 b d)) (/.f64 c (*.f64 d d)))))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(*.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 b d)) (/.f64 c (*.f64 d d)))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d)))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(*.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 b d)) (/.f64 c (*.f64 d d)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(*.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 b d)) (/.f64 c (*.f64 d d)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(*.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 b d)) (/.f64 c (*.f64 d d)))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d d)))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(/.f64 (*.f64 c (fma.f64 d a (-.f64 #s(literal 0 binary64) (*.f64 b c)))) (*.f64 d d))
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))

eval255.0ms (2.1%)

Memory
0.5MiB live, 477.2MiB allocated
Compiler

Compiled 53 327 to 5 266 computations (90.1% saved)

prune274.0ms (2.2%)

Memory
31.0MiB live, 538.1MiB allocated
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New1 90091 909
Fresh11011
Picked325
Done011
Total1 904221 926
Accuracy
99.4%
Counts
1 926 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(fma.f64 b (/.f64 (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) d) (*.f64 c c)) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
45.9%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (/.f64 b c) (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) d))) c)
52.6%
(/.f64 (fma.f64 d (/.f64 b c) a) c)
52.4%
(/.f64 (fma.f64 b (/.f64 d c) a) c)
35.3%
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
56.4%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
37.1%
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
21.5%
(/.f64 (/.f64 (*.f64 a c) d) d)
48.3%
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 d d)) c))) c)) c)
21.3%
(/.f64 (*.f64 d b) (*.f64 c c))
20.5%
(/.f64 (*.f64 a c) (*.f64 d d))
42.8%
(/.f64 b d)
43.0%
(/.f64 a c)
40.5%
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
22.3%
(*.f64 (/.f64 d c) (/.f64 b c))
42.6%
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
42.9%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
22.0%
(*.f64 d (/.f64 b (*.f64 c c)))
21.2%
(*.f64 b (/.f64 d (*.f64 c c)))
21.0%
(*.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c))))
40.8%
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
27.2%
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))) #s(literal -1 binary64)))
Compiler

Compiled 590 to 351 computations (40.5% saved)

simplify392.0ms (3.2%)

Memory
-26.2MiB live, 318.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 d d)
cost-diff0
(*.f64 a c)
cost-diff0
(fma.f64 b d (*.f64 a c))
cost-diff0
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
cost-diff0
(/.f64 b c)
cost-diff0
(/.f64 d c)
cost-diff384
(*.f64 (/.f64 d c) (/.f64 b c))
cost-diff0
(*.f64 d d)
cost-diff0
(*.f64 a c)
cost-diff0
(/.f64 (*.f64 a c) (*.f64 d d))
cost-diff0
(/.f64 #s(literal 1 binary64) c)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
cost-diff0
(/.f64 b c)
cost-diff0
(fma.f64 d (/.f64 b c) a)
cost-diff0
(/.f64 (fma.f64 d (/.f64 b c) a) c)
Rules
6 308×*-lowering-*.f32
6 308×*-lowering-*.f64
5 000×/-lowering-/.f32
5 000×/-lowering-/.f64
2 784×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01994
14492
26492
310492
414792
522592
623192
724392
827492
935292
1042092
1144492
1250690
1356790
1476890
15184790
16222790
17236290
18248390
19267290
20296490
21330290
22369290
23416990
24471890
25531090
26560190
27580990
28595190
29596290
30640690
31708890
32743990
33758690
34770890
35777390
0954586
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (* d (/ b c)) a) c)
(+ (* d (/ b c)) a)
d
(/ b c)
b
c
a
(* (/ 1 c) a)
(/ 1 c)
1
c
a
(/ (* a c) (* d d))
(* a c)
a
c
(* d d)
d
(* (/ d c) (/ b c))
(/ d c)
d
c
(/ b c)
b
(/ (+ (* b d) (* a c)) (* d d))
(+ (* b d) (* a c))
b
d
(* a c)
a
c
(* d d)
Outputs
(/ (+ (* d (/ b c)) a) c)
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(+ (* d (/ b c)) a)
(fma.f64 b (/.f64 d c) a)
d
(/ b c)
(/.f64 b c)
b
c
a
(* (/ 1 c) a)
(/.f64 a c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
1
#s(literal 1 binary64)
c
a
(/ (* a c) (* d d))
(*.f64 a (/.f64 c (*.f64 d d)))
(* a c)
(*.f64 c a)
a
c
(* d d)
(*.f64 d d)
d
(* (/ d c) (/ b c))
(/.f64 (*.f64 d b) (*.f64 c c))
(/ d c)
(/.f64 d c)
d
c
(/ b c)
(/.f64 b c)
b
(/ (+ (* b d) (* a c)) (* d d))
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d))
(+ (* b d) (* a c))
(fma.f64 c a (*.f64 d b))
b
d
(* a c)
(*.f64 c a)
a
c
(* d d)
(*.f64 d d)

localize59.0ms (0.5%)

Memory
-5.3MiB live, 78.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 d d)
accuracy100.0%
(*.f64 a c)
accuracy100.0%
(fma.f64 b d (*.f64 a c))
accuracy72.3%
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
accuracy100.0%
(/.f64 d c)
accuracy100.0%
(/.f64 b c)
accuracy95.9%
(*.f64 (/.f64 d c) (/.f64 b c))
accuracy100.0%
(*.f64 d d)
accuracy100.0%
(*.f64 a c)
accuracy85.4%
(/.f64 (*.f64 a c) (*.f64 d d))
accuracy100.0%
(/.f64 #s(literal 1 binary64) c)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
accuracy100.0%
(/.f64 b c)
accuracy97.5%
(/.f64 (fma.f64 d (/.f64 b c) a) c)
accuracy95.6%
(fma.f64 d (/.f64 b c) a)
Samples
37.0ms256×0valid
Compiler

Compiled 92 to 21 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 10.0ms (45.1% of total)
ival-mult: 10.0ms (45.1% of total)
ival-add: 2.0ms (9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory
-24.3MiB live, 13.9MiB allocated
Counts
12 → 384
Calls
Call 1
Inputs
#<alt (/ (+ (* d (/ b c)) a) c)>
#<alt (+ (* d (/ b c)) a)>
#<alt (/ b c)>
#<alt (* (/ 1 c) a)>
#<alt (/ 1 c)>
#<alt (/ (* a c) (* d d))>
#<alt (* a c)>
#<alt (* d d)>
#<alt (* (/ d c) (/ b c))>
#<alt (/ d c)>
#<alt (/ (+ (* b d) (* a c)) (* d d))>
#<alt (+ (* b d) (* a c))>
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 (* 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 (/ 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 (/ (* 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 (* 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 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 (/ (* 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 (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b 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 (/ (* 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 (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 (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<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) (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 (/ 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)>
#<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 (+ (* 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)))))>
Calls

96 calls:

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

rewrite366.0ms (3%)

Memory
29.6MiB live, 501.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 254×accelerator-lowering-fma.f32
7 254×accelerator-lowering-fma.f64
5 172×*-lowering-*.f32
5 172×*-lowering-*.f64
3 362×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01968
110866
277966
3698266
0802662
Stop Event
iter limit
node limit
Counts
12 → 823
Calls
Call 1
Inputs
(/ (+ (* d (/ b c)) a) c)
(+ (* d (/ b c)) a)
(/ b c)
(* (/ 1 c) a)
(/ 1 c)
(/ (* a c) (* d d))
(* a c)
(* d d)
(* (/ d c) (/ b c))
(/ d c)
(/ (+ (* b d) (* a c)) (* d d))
(+ (* b d) (* a c))
Outputs
(+.f64 (/.f64 a c) (/.f64 (*.f64 d b) (*.f64 c c)))
(+.f64 (/.f64 (*.f64 d b) (*.f64 c c)) (/.f64 a c))
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 d (/.f64 b c) a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 d (/.f64 b c) a)) c))
(-.f64 (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (-.f64 (*.f64 d (/.f64 b c)) a) (*.f64 c c))) c) (/.f64 (*.f64 a (/.f64 a (-.f64 (*.f64 d (/.f64 b c)) a))) c))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) c)) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 d (/.f64 b c) a)) c))
(-.f64 (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 c (-.f64 (*.f64 d (/.f64 b c)) a))) (/.f64 (*.f64 a a) (*.f64 c (-.f64 (*.f64 d (/.f64 b c)) a))))
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c))
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c))
(fma.f64 (*.f64 d (/.f64 b c)) (/.f64 #s(literal 1 binary64) c) (/.f64 a c))
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 d b) (*.f64 c c)))
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (/.f64 (*.f64 d b) (*.f64 c c)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (*.f64 c c)) (/.f64 a c))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 d (/.f64 b c)) (/.f64 a c))
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (/.f64 (*.f64 d b) (*.f64 c c)))
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a #s(literal 1 binary64)) (/.f64 (*.f64 d b) (*.f64 c c)))
(fma.f64 (/.f64 a c) #s(literal 1 binary64) (/.f64 (*.f64 d b) (*.f64 c c)))
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))
(fma.f64 (/.f64 (*.f64 d b) (*.f64 c c)) #s(literal 1 binary64) (/.f64 a c))
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (*.f64 c c)) (/.f64 a c))
(fma.f64 (*.f64 d b) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) c)) (/.f64 a c))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) a) (/.f64 (*.f64 d b) (*.f64 c c)))
(fma.f64 #s(literal -1 binary64) (/.f64 a (-.f64 #s(literal 0 binary64) c)) (/.f64 (*.f64 d b) (*.f64 c c)))
(fma.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) b)) (/.f64 a c))
(fma.f64 (-.f64 #s(literal 0 binary64) d) (*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 b c)) (/.f64 a c))
(fma.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 (/.f64 b c) (-.f64 #s(literal 0 binary64) c)) (/.f64 a c))
(fma.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 c b)) (/.f64 a c))
(fma.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 c c))) (/.f64 a c))
(fma.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 c c)) (/.f64 a c))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) d)) (/.f64 a c))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 d c)) (/.f64 a c))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 d c) (-.f64 #s(literal 0 binary64) c)) (/.f64 a c))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 c d)) (/.f64 a c))
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(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 a (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 d (*.f64 b (*.f64 d b)) (*.f64 (*.f64 c a) (fma.f64 c a (-.f64 #s(literal 0 binary64) (*.f64 d b))))))))
(*.f64 (*.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 d (-.f64 #s(literal 0 binary64) b) (*.f64 c a))) (/.f64 #s(literal 1 binary64) (fma.f64 d (-.f64 #s(literal 0 binary64) b) (*.f64 c a))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 b (*.f64 d b)) (*.f64 (*.f64 c a) (fma.f64 c a (-.f64 #s(literal 0 binary64) (*.f64 d b)))))) (fma.f64 c (*.f64 a (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 d b))) (*.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 d b))))
(*.f64 (*.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 c a (-.f64 #s(literal 0 binary64) (*.f64 d b)))) (/.f64 #s(literal 1 binary64) (fma.f64 c a (-.f64 #s(literal 0 binary64) (*.f64 d b)))))
(*.f64 (/.f64 (*.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 d b))) (*.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 d b)))) (fma.f64 c a (*.f64 d b)))
(*.f64 (/.f64 (fma.f64 c (*.f64 a (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))))) (fma.f64 (*.f64 d b) (*.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))))) (*.f64 (*.f64 (*.f64 c a) (fma.f64 c a (-.f64 #s(literal 0 binary64) (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 (fma.f64 c a (-.f64 #s(literal 0 binary64) (*.f64 d b))) (*.f64 (*.f64 c a) (fma.f64 c a (-.f64 #s(literal 0 binary64) (*.f64 d b))))))))) (fma.f64 (*.f64 (*.f64 c a) (fma.f64 c a (-.f64 #s(literal 0 binary64) (*.f64 d b)))) (-.f64 (*.f64 (*.f64 c a) (fma.f64 c a (-.f64 #s(literal 0 binary64) (*.f64 d b)))) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 d b) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))))))
(*.f64 (/.f64 (fma.f64 c (*.f64 a (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))))) (*.f64 (fma.f64 d (*.f64 b (*.f64 d b)) (*.f64 (*.f64 c a) (fma.f64 c a (-.f64 #s(literal 0 binary64) (*.f64 d b))))) (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (fma.f64 c a (-.f64 #s(literal 0 binary64) (*.f64 d b))))))) (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (fma.f64 c a (-.f64 #s(literal 0 binary64) (*.f64 d b))))))
(*.f64 (/.f64 (*.f64 (fma.f64 c a (*.f64 d b)) (fma.f64 a (-.f64 #s(literal 0 binary64) c) (*.f64 d b))) (-.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 d b)) (*.f64 d (*.f64 b (*.f64 d b)))))

simplify287.0ms (2.3%)

Memory
-10.2MiB live, 432.8MiB allocated
Algorithm
egg-herbie
Rules
5 322×accelerator-lowering-fma.f32
5 322×accelerator-lowering-fma.f64
4 784×*-lowering-*.f32
4 784×*-lowering-*.f64
2 228×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01412358
14942358
216202358
348942226
082932082
Stop Event
iter limit
node limit
Counts
384 → 384
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))
(* 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))))))
(/ 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))))))
(/ (* 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)
(* 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)))))
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)))))
(/ (* 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)))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b 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)
(/ (* 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)
(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)
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ (* b d) (pow c 2))
(/ 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) (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))
(/ 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)
(+ (* 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)
(+ (* 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)))))
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 (*.f64 b 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 (*.f64 b 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)
(/ 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 (*.f64 b 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 (*.f64 b 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)
(/ (* b d) (pow c 2))
(/.f64 (*.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) (* 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 (*.f64 b 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)
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(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(* a c)
(*.f64 a c)
(* a (+ c (/ (* b d) a)))
(fma.f64 a c (*.f64 b d))
(* a (+ c (/ (* b d) a)))
(fma.f64 a c (*.f64 b d))
(* a (+ c (/ (* b d) a)))
(fma.f64 a c (*.f64 b d))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 a c (*.f64 b d))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 a c (*.f64 b d))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(fma.f64 a c (*.f64 b d))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(+ (* a c) (* b d))
(fma.f64 a c (*.f64 b d))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* b d) c)))
(fma.f64 a c (*.f64 b d))
(* c (+ a (/ (* b d) c)))
(fma.f64 a c (*.f64 b d))
(* c (+ a (/ (* b d) c)))
(fma.f64 a c (*.f64 b d))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 a c (*.f64 b d))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 a c (*.f64 b d))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(fma.f64 a c (*.f64 b d))

eval178.0ms (1.4%)

Memory
18.3MiB live, 238.8MiB allocated
Compiler

Compiled 22 501 to 1 822 computations (91.9% saved)

prune165.0ms (1.3%)

Memory
12.6MiB live, 358.2MiB allocated
Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New1 315121 327
Fresh5914
Picked055
Done033
Total1 320291 349
Accuracy
99.4%
Counts
1 349 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(fma.f64 b (/.f64 (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) d) (*.f64 c c)) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
52.4%
(/.f64 (fma.f64 (/.f64 d c) b a) c)
45.9%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (/.f64 b c) (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) d))) c)
52.6%
(/.f64 (fma.f64 d (/.f64 b c) a) c)
35.3%
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
56.4%
(/.f64 (fma.f64 a (/.f64 c d) b) d)
37.1%
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
21.5%
(/.f64 (/.f64 (*.f64 c a) d) d)
22.6%
(/.f64 (/.f64 c d) (/.f64 d a))
22.2%
(/.f64 (/.f64 b c) (/.f64 c d))
48.3%
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 d d)) c))) c)) c)
21.3%
(/.f64 (*.f64 d b) (*.f64 c c))
20.5%
(/.f64 (*.f64 a c) (*.f64 d d))
42.8%
(/.f64 b d)
43.0%
(/.f64 a c)
37.8%
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 (-.f64 (*.f64 d (/.f64 b c)) a) (*.f64 c (-.f64 (*.f64 d (/.f64 b c)) a))))
40.5%
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
21.2%
(*.f64 (/.f64 d (*.f64 c c)) b)
22.3%
(*.f64 (/.f64 d c) (/.f64 b c))
20.4%
(*.f64 (/.f64 c (*.f64 d d)) a)
22.3%
(*.f64 (/.f64 c d) (/.f64 a d))
22.0%
(*.f64 (/.f64 b (*.f64 c c)) d)
19.6%
(*.f64 (/.f64 a (*.f64 d d)) c)
21.1%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d b))
42.6%
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
42.9%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
20.4%
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 c))) a)
40.8%
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
27.2%
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))) #s(literal -1 binary64)))
Compiler

Compiled 932 to 369 computations (60.4% saved)

regimes93.0ms (0.8%)

Memory
-6.2MiB live, 137.3MiB allocated
Counts
50 → 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 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 a (*.f64 d d)) c)
(*.f64 (/.f64 b (*.f64 c c)) d)
(*.f64 (/.f64 c (*.f64 d d)) a)
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 d b) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d b))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 b d (*.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 (fma.f64 d (/.f64 b c) a) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(/.f64 (/.f64 b c) (/.f64 c d))
(/.f64 (/.f64 c d) (/.f64 d a))
(/.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 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 d d)) c))) c)) c)
(/.f64 (+.f64 b (/.f64 (fma.f64 a c (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 c c) b) d))) 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)
(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 d (/.f64 b c) a) (/.f64 (-.f64 (*.f64 d (/.f64 b c)) a) (*.f64 c (-.f64 (*.f64 d (/.f64 b c)) a))))
(fma.f64 b (/.f64 (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) d) (*.f64 c c)) (/.f64 (fma.f64 a c #s(literal 0 binary64)) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (/.f64 b c) (fma.f64 d (-.f64 #s(literal 0 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) d))) c)
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 c))) a)
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))) #s(literal -1 binary64)))
Outputs
(/.f64 (fma.f64 d (/.f64 b 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 (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 d (/.f64 b c) a) c)
Calls

5 calls:

33.0ms
d
16.0ms
a
16.0ms
c
13.0ms
b
13.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
62.1%1a
68.6%3b
87.5%5c
86.9%5d
76.5%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)

regimes41.0ms (0.3%)

Memory
-15.0MiB live, 60.3MiB allocated
Counts
44 → 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 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 a (*.f64 d d)) c)
(*.f64 (/.f64 b (*.f64 c c)) d)
(*.f64 (/.f64 c (*.f64 d d)) a)
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 d b) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d b))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 b d (*.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 (fma.f64 d (/.f64 b c) a) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(/.f64 (/.f64 b c) (/.f64 c d))
(/.f64 (/.f64 c d) (/.f64 d a))
(/.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 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 d d)) c))) c)) c)
(/.f64 (+.f64 b (/.f64 (fma.f64 a c (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 c c) b) d))) 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)
Outputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(/.f64 (+.f64 a (/.f64 (fma.f64 b d (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 d d)) c))) c)) c)
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
Calls

2 calls:

20.0ms
d
19.0ms
c
Results
AccuracySegmentsBranch
86.6%5d
85.9%5c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.1%)

Memory
27.4MiB live, 27.4MiB allocated
Counts
41 → 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 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 a (*.f64 d d)) c)
(*.f64 (/.f64 b (*.f64 c c)) d)
(*.f64 (/.f64 c (*.f64 d d)) a)
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 d b) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d b))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 b d (*.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 (fma.f64 d (/.f64 b c) a) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(/.f64 (/.f64 b c) (/.f64 c d))
(/.f64 (/.f64 c d) (/.f64 d a))
(/.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 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
Outputs
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 b (/.f64 d c) a) c)
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
Calls

1 calls:

11.0ms
d
Results
AccuracySegmentsBranch
86.5%5d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.1%)

Memory
-14.7MiB live, 24.1MiB allocated
Counts
38 → 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 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 a (*.f64 d d)) c)
(*.f64 (/.f64 b (*.f64 c c)) d)
(*.f64 (/.f64 c (*.f64 d d)) a)
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 d b) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d b))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 b d (*.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 (fma.f64 d (/.f64 b c) a) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(/.f64 (/.f64 b c) (/.f64 c d))
(/.f64 (/.f64 c d) (/.f64 d a))
(/.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))
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 c (*.f64 b d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (fma.f64 a (/.f64 c d) b) d)
Calls

1 calls:

11.0ms
d
Results
AccuracySegmentsBranch
86.4%5d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes22.0ms (0.2%)

Memory
-17.2MiB live, 61.3MiB allocated
Counts
35 → 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 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 a (*.f64 d d)) c)
(*.f64 (/.f64 b (*.f64 c c)) d)
(*.f64 (/.f64 c (*.f64 d d)) a)
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 d b) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d b))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 b d (*.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 (fma.f64 d (/.f64 b c) a) c)
(/.f64 (fma.f64 (/.f64 d c) b a) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(/.f64 (/.f64 b c) (/.f64 c d))
(/.f64 (/.f64 c d) (/.f64 d a))
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

2 calls:

10.0ms
d
10.0ms
c
Results
AccuracySegmentsBranch
81.2%3c
81.4%3d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes27.0ms (0.2%)

Memory
13.1MiB live, 53.3MiB allocated
Counts
28 → 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 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 a (*.f64 d d)) c)
(*.f64 (/.f64 b (*.f64 c c)) d)
(*.f64 (/.f64 c (*.f64 d d)) a)
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 d b) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d b))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 b d (*.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 a c)
(/.f64 (fma.f64 a (/.f64 c d) b) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 a c)
Calls

3 calls:

10.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
8.0ms
c
8.0ms
d
Results
AccuracySegmentsBranch
61.4%3(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
77.6%4c
74.7%3d
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes18.0ms (0.1%)

Memory
-2.9MiB live, 34.8MiB allocated
Counts
26 → 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 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 a (*.f64 d d)) c)
(*.f64 (/.f64 b (*.f64 c c)) d)
(*.f64 (/.f64 c (*.f64 d d)) a)
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 d b) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d b))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
(/.f64 (fma.f64 b d (*.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 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 a c)
(/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d))
(/.f64 b d)
Calls

2 calls:

10.0ms
d
7.0ms
c
Results
AccuracySegmentsBranch
73.5%5d
70.8%6c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Counts
24 → 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 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 a (*.f64 d d)) c)
(*.f64 (/.f64 b (*.f64 c c)) d)
(*.f64 (/.f64 c (*.f64 d d)) a)
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 d b) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d b))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
Outputs
(/.f64 b d)
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 a c)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d))
(/.f64 b d)
Calls

1 calls:

7.0ms
d
Results
AccuracySegmentsBranch
73.5%5d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes16.0ms (0.1%)

Memory
-6.2MiB live, 31.7MiB allocated
Counts
23 → 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 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 a (*.f64 d d)) c)
(*.f64 (/.f64 b (*.f64 c c)) d)
(*.f64 (/.f64 c (*.f64 d d)) a)
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 d b) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d b))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))
Outputs
(/.f64 b d)
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)
(/.f64 a c)
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.f64 b d)
Calls

2 calls:

9.0ms
d
7.0ms
b
Results
AccuracySegmentsBranch
57.2%3b
71.3%5d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
19 → 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 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 a (*.f64 d d)) c)
(*.f64 (/.f64 b (*.f64 c c)) d)
(*.f64 (/.f64 c (*.f64 d d)) a)
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 d b) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d b))
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 c d) (/.f64 a d))
(*.f64 (/.f64 d c) (/.f64 b c))
Outputs
(/.f64 b d)
(/.f64 a c)
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.f64 b d)
Calls

1 calls:

6.0ms
d
Results
AccuracySegmentsBranch
69.6%4d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory
-24.9MiB live, 13.0MiB allocated
Counts
16 → 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 b (/.f64 d (*.f64 c c)))
(*.f64 d (/.f64 b (*.f64 c c)))
(*.f64 (/.f64 a (*.f64 d d)) c)
(*.f64 (/.f64 b (*.f64 c c)) d)
(*.f64 (/.f64 c (*.f64 d d)) a)
(*.f64 (/.f64 d (*.f64 c c)) b)
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 d b) (*.f64 c c))
(/.f64 #s(literal 1 binary64) (/.f64 c a))
(/.f64 (fma.f64 b d #s(literal 0 binary64)) (*.f64 c c))
(*.f64 b (*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d b))
Outputs
(/.f64 b d)
(/.f64 a c)
(/.f64 b d)
Calls

1 calls:

7.0ms
d
Results
AccuracySegmentsBranch
67.8%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB 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:

1.0ms
a
1.0ms
c
1.0ms
d
1.0ms
b
1.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
43.0%1b
43.0%1(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
43.0%1a
43.0%1c
43.0%1d
Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch69.0ms (0.6%)

Memory
8.6MiB live, 121.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
4.5302595710974397e+98
2.8473403616628483e+121
14.0ms
1.1723284307942986e-52
9.45369459986746e-51
14.0ms
-2.0674075640640277e-159
-1.5889844727498507e-166
15.0ms
-9.830559383933337e+102
-4.3416214829023533e+102
Samples
47.0ms512×0valid
Compiler

Compiled 1 270 to 658 computations (48.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 19.0ms (72.4% of total)
ival-add: 4.0ms (15.2% of total)
ival-div: 3.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch119.0ms (1%)

Memory
-41.2MiB live, 108.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
71.0ms
1.1059398428210098e+144
4.0484998156122594e+147
20.0ms
3.880463570222067e-39
1.9788664030135936e-36
6.0ms
-2.8991622532284544e-141
-1.83229301779587e-141
17.0ms
-3.8095979228457905e+48
-3.248237570810039e+38
Samples
91.0ms480×0valid
Compiler

Compiled 1 116 to 674 computations (39.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 72.0ms (91.5% of total)
ival-add: 4.0ms (5.1% of total)
ival-div: 3.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Memory
10.2MiB live, 88.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
predicate-same
narrow-enough
Steps
TimeLeftRight
14.0ms
1.1059398428210098e+144
4.0484998156122594e+147
12.0ms
3.880463570222067e-39
1.9788664030135936e-36
6.0ms
-3.5871420972041086e-193
-3.454994563582035e-195
15.0ms
-3.8095979228457905e+48
-3.248237570810039e+38
Samples
33.0ms464×0valid
Compiler

Compiled 950 to 569 computations (40.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 13.0ms (66.2% of total)
ival-add: 4.0ms (20.4% of total)
ival-div: 3.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch60.0ms (0.5%)

Memory
-0.8MiB live, 119.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
1.1059398428210098e+144
4.0484998156122594e+147
12.0ms
3.880463570222067e-39
1.9788664030135936e-36
12.0ms
-3.5871420972041086e-193
-3.454994563582035e-195
17.0ms
-3.8095979228457905e+48
-3.248237570810039e+38
Samples
36.0ms528×0valid
Compiler

Compiled 1 045 to 612 computations (41.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 14.0ms (64.5% of total)
ival-add: 4.0ms (18.4% of total)
ival-div: 3.0ms (13.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch208.0ms (1.7%)

Memory
-7.5MiB live, 31.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
192.0ms
4.0745174499484565e-27
1.4146178990616388e-14
12.0ms
-5.00372038919954e-9
-1.0905574018168998e-13
Samples
196.0ms288×0valid
Compiler

Compiled 490 to 306 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 188.0ms
ival-add: 179.0ms (95.1% of total)
ival-mult: 7.0ms (3.7% of total)
ival-div: 2.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch46.0ms (0.4%)

Memory
13.0MiB live, 54.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.438632854942995e+138
1.127859060756558e+145
14.0ms
1264300274846.1792
47122883155810760.0
14.0ms
-11573694.815437682
-37.327712636131984
Samples
28.0ms416×0valid
Compiler

Compiled 642 to 415 computations (35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 10.0ms (60.6% of total)
ival-add: 3.0ms (18.2% of total)
ival-div: 2.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch52.0ms (0.4%)

Memory
-8.0MiB live, 68.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.1059398428210098e+144
4.0484998156122594e+147
9.0ms
7.424664760154464e-13
5.851715235515979e-12
19.0ms
-2.3640484025209006e-81
-1.0767701605778563e-97
6.0ms
-1.294148344787495e+92
-8.518959369070326e+91
Samples
34.0ms448×0valid
Compiler

Compiled 666 to 438 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 13.0ms (67.6% of total)
ival-add: 4.0ms (20.8% of total)
ival-div: 3.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch63.0ms (0.5%)

Memory
7.6MiB live, 46.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.1059398428210098e+144
4.0484998156122594e+147
24.0ms
7.424664760154464e-13
5.851715235515979e-12
15.0ms
-2.3640484025209006e-81
-1.0767701605778563e-97
6.0ms
-1.294148344787495e+92
-8.518959369070326e+91
Samples
44.0ms448×0valid
Compiler

Compiled 666 to 438 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 11.0ms (62.2% of total)
ival-add: 4.0ms (22.6% of total)
ival-div: 3.0ms (17% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch52.0ms (0.4%)

Memory
-22.1MiB live, 58.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
5.950608723186989e+26
1.9421126203277965e+27
12.0ms
3.880463570222067e-39
1.9788664030135936e-36
19.0ms
-2.3640484025209006e-81
-1.0767701605778563e-97
6.0ms
-1.294148344787495e+92
-8.518959369070326e+91
Samples
29.0ms432×0valid
Compiler

Compiled 643 to 423 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 11.0ms (63% of total)
ival-add: 4.0ms (22.9% of total)
ival-div: 3.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
9.3MiB live, 46.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
5.950608723186989e+26
1.9421126203277965e+27
12.0ms
3.880463570222067e-39
1.9788664030135936e-36
8.0ms
-1.928254117729518e-8
-5.00372038919954e-9
Samples
21.0ms288×0valid
Compiler

Compiled 401 to 273 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (67.7% of total)
ival-div: 2.0ms (15% of total)
ival-add: 2.0ms (15% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
31.3MiB live, 31.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
7.424664760154464e-13
5.851715235515979e-12
8.0ms
-1.928254117729518e-8
-5.00372038919954e-9
Samples
12.0ms176×0valid
Compiler

Compiled 198 to 150 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (56.9% of total)
ival-div: 1.0ms (14.2% of total)
ival-add: 1.0ms (14.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify22.0ms (0.2%)

Memory
-10.0MiB live, 28.7MiB allocated
Algorithm
egg-herbie
Rules
24×*-commutative_binary64
16×+-commutative_binary64
12×sub-neg_binary64
12×neg-mul-1_binary64
10×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154539
1173539
2180539
3191539
4202539
5210539
6214539
7215539
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 c #s(literal -7200000000000000332079731919553065880199515730274720144592121815418070296165664254542978332800258670592 binary64)) (/.f64 (fma.f64 d (/.f64 b c) a) c) (if (<=.f64 c #s(literal -8112437168317829/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 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 c #s(literal 7279185600130673/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 c #s(literal 189999999999999994465740596813082597090746983391032016794505933914163657881813192527023814105812828717204897792 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 (fma.f64 d (/.f64 b c) a) c)))))
(if (<=.f64 d #s(literal -3800000000000000004354926742076186556031370788864 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -8924236958169793/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) (if (<=.f64 d #s(literal 7049479487983089/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (+.f64 a (/.f64 (fma.f64 b d (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 d d)) c))) c)) c) (if (<=.f64 d #s(literal 2499999999999999972717652955352299031696201565100339736295003866181325599777564537213528201614407515324164732080238474646008190380863584278151168 binary64)) (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -3400000000000000311335143182472434397333772304384 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -4109481173084667/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 3053018460318763/2993155353253689176481146537402947624255349848014848 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 1150000000000000070630211183086503341932678244238667381788814039717907031012067105556862206911396148248347959881097041258900096417304403637174272 binary64)) (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -3800000000000000004354926742076186556031370788864 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7191592052898167/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 4290987514424489/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 1260000000000000012590059183645299877969820338169866409738834164625645566407448542594520637767104806603135882957766183146804632085289178851442688 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -6189700196426901/19342813113834066795298816 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 4867778304876401/10141204801825835211973625643008 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 c #s(literal -24000 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 4000000000000 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 c #s(literal 18999999999999999476396525475022027720228264015942097072623425472923996452926663318967571410690324488466571267556391780575977246609468328771584 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) (/.f64 a c))))
(if (<=.f64 d #s(literal -127999999999999995709966427579379206377623819855376064381398348455575008695984541527873421312 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal -2349585739513001/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) (if (<=.f64 d #s(literal 8120886657712095/9903520314283042199192993792 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 1150000000000000070630211183086503341932678244238667381788814039717907031012067105556862206911396148248347959881097041258900096417304403637174272 binary64)) (/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d)) (/.f64 b d)))))
(if (<=.f64 d #s(literal -127999999999999995709966427579379206377623819855376064381398348455575008695984541527873421312 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal -6307121193972697/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) (if (<=.f64 d #s(literal 3466232109999065/2475880078570760549798248448 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 3200000000000000075985383547683537143707705369051782999915087963744759774534465832218168410291466541213907101228288371442538922143648261034999808 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d)) (/.f64 b d)))))
(if (<=.f64 d #s(literal -127999999999999995709966427579379206377623819855376064381398348455575008695984541527873421312 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal -6880495847970215/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) (if (<=.f64 d #s(literal 838083498911033/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 1000000000000000013287555072 binary64)) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -5742397643169489/302231454903657293676544 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 636045512566409/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 699999999999999981813497856 binary64)) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b d))))
(if (<=.f64 d #s(literal -5742397643169489/604462909807314587353088 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 4704172149284445/1237940039285380274899124224 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)
Outputs
(if (<=.f64 c #s(literal -7200000000000000332079731919553065880199515730274720144592121815418070296165664254542978332800258670592 binary64)) (/.f64 (fma.f64 d (/.f64 b c) a) c) (if (<=.f64 c #s(literal -8112437168317829/3957286423569672544968040336314355040562101585619389438625008897486355601704509874725062416979888719833562742816258229429621840548908019359480738481630290686665708354379186176 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 c #s(literal 7279185600130673/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 c #s(literal 189999999999999994465740596813082597090746983391032016794505933914163657881813192527023814105812828717204897792 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 (fma.f64 d (/.f64 b c) a) c)))))
(if (<=.f64 d #s(literal -3800000000000000004354926742076186556031370788864 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -8924236958169793/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) (if (<=.f64 d #s(literal 7049479487983089/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (+.f64 a (/.f64 (fma.f64 b d (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a (*.f64 d d)) c))) c)) c) (if (<=.f64 d #s(literal 2499999999999999972717652955352299031696201565100339736295003866181325599777564537213528201614407515324164732080238474646008190380863584278151168 binary64)) (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -3800000000000000004354926742076186556031370788864 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -8924236958169793/3432398830065304857490950399540696608634717650071652704697231729592771591698828026061279820330727277488648155695740429018560993999858321906287014145557528576 binary64)) (*.f64 (fma.f64 a c (*.f64 d b)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) (if (<=.f64 d #s(literal 7049479487983089/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (+.f64 a (/.f64 (fma.f64 b d (/.f64 (*.f64 a (*.f64 d d)) (-.f64 #s(literal 0 binary64) c))) c)) c) (if (<=.f64 d #s(literal 2499999999999999972717652955352299031696201565100339736295003866181325599777564537213528201614407515324164732080238474646008190380863584278151168 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -3400000000000000311335143182472434397333772304384 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -4109481173084667/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 3053018460318763/2993155353253689176481146537402947624255349848014848 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 1150000000000000070630211183086503341932678244238667381788814039717907031012067105556862206911396148248347959881097041258900096417304403637174272 binary64)) (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -3400000000000000311335143182472434397333772304384 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -4109481173084667/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 3053018460318763/2993155353253689176481146537402947624255349848014848 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 1150000000000000070630211183086503341932678244238667381788814039717907031012067105556862206911396148248347959881097041258900096417304403637174272 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -3800000000000000004354926742076186556031370788864 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7191592052898167/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 4290987514424489/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 1260000000000000012590059183645299877969820338169866409738834164625645566407448542594520637767104806603135882957766183146804632085289178851442688 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -3800000000000000004354926742076186556031370788864 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal -7191592052898167/20547405865423334012660116730000502599806014854778022888665159777612234977722971961381509907334329887605402222094446162941482157227280483840343026447858909570137592465345486711686186554235635614340989264592896 binary64)) (/.f64 (fma.f64 a c (*.f64 d b)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 4290987514424489/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (if (<=.f64 d #s(literal 1260000000000000012590059183645299877969820338169866409738834164625645566407448542594520637767104806603135882957766183146804632085289178851442688 binary64)) (/.f64 (fma.f64 a c (*.f64 d b)) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))
(if (<=.f64 d #s(literal -6189700196426901/19342813113834066795298816 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 d #s(literal 4867778304876401/10141204801825835211973625643008 binary64)) (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (fma.f64 a (/.f64 c d) b) d)))
(if (<=.f64 c #s(literal -24000 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 4000000000000 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 c #s(literal 18999999999999999476396525475022027720228264015942097072623425472923996452926663318967571410690324488466571267556391780575977246609468328771584 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) (/.f64 a c))))
(if (<=.f64 c #s(literal -24000 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 4000000000000 binary64)) (/.f64 (fma.f64 a (/.f64 c d) b) d) (if (<=.f64 c #s(literal 18999999999999999476396525475022027720228264015942097072623425472923996452926663318967571410690324488466571267556391780575977246609468328771584 binary64)) (/.f64 (fma.f64 a c (*.f64 d b)) (*.f64 c c)) (/.f64 a c))))
(if (<=.f64 d #s(literal -127999999999999995709966427579379206377623819855376064381398348455575008695984541527873421312 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal -2349585739513001/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) (if (<=.f64 d #s(literal 8120886657712095/9903520314283042199192993792 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 1150000000000000070630211183086503341932678244238667381788814039717907031012067105556862206911396148248347959881097041258900096417304403637174272 binary64)) (/.f64 (fma.f64 b d (*.f64 a c)) (*.f64 d d)) (/.f64 b d)))))
(if (<=.f64 d #s(literal -127999999999999995709966427579379206377623819855376064381398348455575008695984541527873421312 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal -2349585739513001/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (if (<=.f64 d #s(literal 8120886657712095/9903520314283042199192993792 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 1150000000000000070630211183086503341932678244238667381788814039717907031012067105556862206911396148248347959881097041258900096417304403637174272 binary64)) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)) (/.f64 b d)))))
(if (<=.f64 d #s(literal -127999999999999995709966427579379206377623819855376064381398348455575008695984541527873421312 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal -6307121193972697/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) (if (<=.f64 d #s(literal 3466232109999065/2475880078570760549798248448 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 3200000000000000075985383547683537143707705369051782999915087963744759774534465832218168410291466541213907101228288371442538922143648261034999808 binary64)) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 d d)) (/.f64 b d)))))
(if (<=.f64 d #s(literal -127999999999999995709966427579379206377623819855376064381398348455575008695984541527873421312 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal -6307121193972697/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (if (<=.f64 d #s(literal 3466232109999065/2475880078570760549798248448 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 3200000000000000075985383547683537143707705369051782999915087963744759774534465832218168410291466541213907101228288371442538922143648261034999808 binary64)) (/.f64 (fma.f64 a c (*.f64 d b)) (*.f64 d d)) (/.f64 b d)))))
(if (<=.f64 d #s(literal -127999999999999995709966427579379206377623819855376064381398348455575008695984541527873421312 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal -6880495847970215/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) (if (<=.f64 d #s(literal 838083498911033/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 1000000000000000013287555072 binary64)) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -127999999999999995709966427579379206377623819855376064381398348455575008695984541527873421312 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal -6880495847970215/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) (if (<=.f64 d #s(literal 838083498911033/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 1000000000000000013287555072 binary64)) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b d)))))
(if (<=.f64 d #s(literal -5742397643169489/302231454903657293676544 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 636045512566409/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 a c) (if (<=.f64 d #s(literal 699999999999999981813497856 binary64)) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 b d))))
(if (<=.f64 d #s(literal -5742397643169489/604462909807314587353088 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 4704172149284445/1237940039285380274899124224 binary64)) (/.f64 a c) (/.f64 b d)))
(/.f64 a c)

soundness1.2s (9.6%)

Memory
5.7MiB live, 951.5MiB allocated
Rules
13 058×accelerator-lowering-fma.f32
13 058×accelerator-lowering-fma.f64
9 416×accelerator-lowering-fma.f32
9 416×accelerator-lowering-fma.f64
7 676×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861356
16181346
218921322
357631320
081851190
04885792
114835676
242825539
082245169
01132
15132
242832
3506232
0875228
02655376
18965216
229355019
374564995
082594832
024145
1155121
21719121
08469108
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 136 to 488 computations (57% saved)

preprocess114.0ms (0.9%)

Memory
2.0MiB live, 229.0MiB allocated
Compiler

Compiled 1 224 to 370 computations (69.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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