Complex division, real part

Time bar (total: 9.1s)

analyze41.0ms (0.5%)

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 20 to 12 computations (40% saved)

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

sample1.1s (12.2%)

Results
834.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 467.0ms
ival-mult: 272.0ms (58.2% of total)
ival-add: 109.0ms (23.3% of total)
ival-div: 75.0ms (16% of total)
const: 8.0ms (1.7% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess69.0ms (0.8%)

Algorithm
egg-herbie
Rules
2058×fmm-def
1696×fnmadd-define
1668×fmsub-define
1644×fnmsub-define
1096×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062188
1158180
2275180
3559180
41567180
55116180
67970180
01112
11912
22312
02312
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
Outputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.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)))
(/ (fnmsub a c (* b d)) (fnmsub c c (square d)))
(/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d)))
(/ (fnmadd a c (* b d)) (+ (square c) (square d)))
(/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d)))
(/ (fnmadd a c (* b d)) (fnmsub c c (square d)))
(/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d)))
(/ (fnmadd a c (* b d)) (+ (square c) (square d)))
(/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d))))
(/ (fnmadd a c (* b d)) (fnmsub c c (square d)))
(neg (/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d))))
(/ (fnmadd a c (* b d)) (fnmsub c c (square d)))
(neg (/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d))))
(/ (fnmadd a c (* b d)) (+ (square c) (square d)))
(neg (/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d))))
(/ (fnmadd a c (* b d)) (fnmsub c c (square d)))
(neg (/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d)))))
(/ (fnmadd a c (* b d)) (+ (square c) (square d)))
(/ (+ (* b c) (* a d)) (+ (* c c) (* d d)))
(/ (fma a d (* c b)) (+ (square c) (square d)))
(/ (+ (* c a) (* b d)) (+ (* a a) (* d d)))
(/ (fnmsub a c (* b d)) (fnmsub a a (square d)))
(/ (+ (* d c) (* b a)) (+ (* c c) (* a a)))
(/ (fma a b (* c d)) (fma a a (square c)))
(/ (+ (* a b) (* c d)) (+ (* b b) (* d d)))
(/ (fma a b (* c d)) (+ (square d) (square b)))
(/ (+ (* a c) (* d b)) (+ (* c c) (* b b)))
(/ (fnmsub a c (* b d)) (fnmsub c c (square b)))
(/ (+ (* a d) (* b c)) (+ (* d d) (* c c)))
(/ (fma a d (* c b)) (+ (square c) (square d)))

explain119.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
881(-4.4317784485408204e-113 3.010715360794256e+95 5.797646024287032e+210 1.3107451368966551e-210)0-(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
00-0-(+.f64 (*.f64 a c) (*.f64 b d))
00-0-b
00-0-(*.f64 b d)
00-0-c
00-0-(*.f64 a c)
00-0-d
00-0-(*.f64 c c)
00-0-(*.f64 d d)
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
Results
82.0ms512×0valid
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 15.0ms (54.3% of total)
ival-add: 9.0ms (32.6% of total)
ival-div: 3.0ms (10.9% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 19 to 11 computations (42.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
66.6%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b d)
cost-diff0
(*.f64 a c)
cost-diff0
(+.f64 (*.f64 a c) (*.f64 b d))
cost-diff0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Rules
12×fma-lowering-fma.f32
12×fma-define
12×*-lowering-*.f32
12×*-lowering-*.f64
12×fma-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01137
11937
22337
02337
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 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(* a c)
(*.f64 a c)
a
c
(* b d)
(*.f64 b d)
b
d
(+ (* c c) (* d d))
(+.f64 (*.f64 c c) (*.f64 d d))
(* c c)
(*.f64 c c)
(* d d)
(*.f64 d d)

localize51.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 b d)
accuracy100.0%
(*.f64 a c)
accuracy100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy66.9%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
38.0ms256×0valid
Compiler

Compiled 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (62.7% of total)
ival-div: 2.0ms (15.7% of total)
ival-add: 2.0ms (15.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
5 → 168
Calls
Call 1
Inputs
#<alt (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* b d)>
#<alt (+ (* c c) (* d d))>
Outputs
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ b d)>
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))>
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))>
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))>
#<alt (/ a c)>
#<alt (/ (+ a (/ (* b d) c)) c)>
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)>
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)>
#<alt (/ a c)>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))>
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
Calls

42 calls:

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

rewrite299.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
4036×*-lowering-*.f32
4036×*-lowering-*.f64
2458×/-lowering-/.f32
2458×/-lowering-/.f64
1470×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
15529
249029
3649129
0810929
Stop Event
iter limit
node limit
Counts
5 → 298
Calls
Call 1
Inputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(+ (* a c) (* b d))
(* a c)
(* b d)
(+ (* c c) (* d d))
Outputs
(+.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 d d))))
(+.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 d d)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 a c)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 b d)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 b d)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 a c)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))))) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))) (*.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))))) (*.f64 (*.f64 c c) (*.f64 c c))))
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 d (*.f64 d (*.f64 d d))))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (-.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))))) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 d (*.f64 d (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 d (*.f64 d (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))))) (-.f64 (*.f64 c c) (*.f64 d d))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 d (*.f64 d (*.f64 d d))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (-.f64 (*.f64 c c) (*.f64 d d))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) #s(literal 1 binary64)) (-.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))))) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))))) (-.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 c c) (*.f64 d d)))))
(/.f64 (neg.f64 (-.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c c)))) (neg.f64 (-.f64 (*.f64 d d) (*.f64 c c))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (-.f64 (*.f64 c c) (*.f64 d d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c c) (*.f64 d d))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (-.f64 (*.f64 c c) (*.f64 d d)))) (+.f64 (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c c) (*.f64 d d)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (-.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c c) (*.f64 d d))))) (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c c) (*.f64 d d)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 d (*.f64 d (*.f64 d d))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))) (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (-.f64 (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))) (-.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c c) (*.f64 d d)))) (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c c) (*.f64 d d)))) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (+.f64 c d)) (-.f64 c d))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 d d) (*.f64 c c)) (-.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (/.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c c) (*.f64 d d)))))
(*.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))))
(*.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))))
(*.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c c) (*.f64 d d))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 c c)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 c c) (*.f64 d d)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c c) (*.f64 d d))) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))))
(*.f64 (-.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 d d) (*.f64 c c))))
(*.f64 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 c d)) (+.f64 c d))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d))))) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))) (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))) (*.f64 (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))))) (+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))) (-.f64 (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 c c))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))))) (-.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))) (-.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d))))))) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (+.f64 (*.f64 c c) (*.f64 d d)))))

simplify280.0ms (3.1%)

Algorithm
egg-herbie
Rules
4248×*-lowering-*.f32
4248×*-lowering-*.f64
2416×/-lowering-/.f32
2416×/-lowering-/.f64
2026×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01861554
16491322
221201282
372831282
087711282
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(/ a c)
(/ (+ a (/ (* b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/ a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* 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)))))
(* 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)
(* 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 c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
Outputs
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 c a) (+.f64 (*.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 (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) a)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) a)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) a)))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 c a) (+.f64 (*.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 (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) a)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) a)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) a)))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a (/.f64 c d)) d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+.f64 (/.f64 b d) (/.f64 (/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d)) d) d))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(+.f64 (/.f64 b d) (*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (*.f64 c (-.f64 (/.f64 (*.f64 c a) (-.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (*.f64 d (*.f64 d d))))))))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (+.f64 (*.f64 (*.f64 d d) a) (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) c)) c)) c)) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (+.f64 (*.f64 (*.f64 d d) a) (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) c)) c)) c)) c)
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (+.f64 (*.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 (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (*.f64 b (+.f64 (*.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 (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (*.f64 b (+.f64 (*.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 (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (*.f64 b (+.f64 (*.f64 c c) (*.f64 d d))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (+.f64 (*.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 (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (*.f64 b (+.f64 (*.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 (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (*.f64 b (+.f64 (*.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 (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (*.f64 b (+.f64 (*.f64 c c) (*.f64 d d))))))
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+.f64 (/.f64 a c) (/.f64 (/.f64 (-.f64 (*.f64 b d) (/.f64 (*.f64 (*.f64 d d) a) c)) c) c))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(+.f64 (/.f64 a c) (*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 b d) (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c)))) d)))))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c c)) d) (*.f64 c a)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (+.f64 (*.f64 b (*.f64 c c)) (*.f64 a (/.f64 (*.f64 c (*.f64 c c)) d))) d)) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c c)) d) (*.f64 c a)) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (+.f64 (*.f64 b (*.f64 c c)) (*.f64 a (/.f64 (*.f64 c (*.f64 c c)) d))) d)) d)) d)
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(+.f64 (*.f64 b d) (*.f64 c a))
(+ (* a c) (* b d))
(+.f64 (*.f64 b d) (*.f64 c a))
(+ (* a c) (* b d))
(+.f64 (*.f64 b d) (*.f64 c a))
(* a c)
(*.f64 c a)
(* a (+ c (/ (* b d) a)))
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a)))
(* a (+ c (/ (* b d) a)))
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a)))
(* a (+ c (/ (* b d) a)))
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a)))
(* a c)
(*.f64 c a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a)))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a)))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(+.f64 (*.f64 b d) (*.f64 c a))
(+ (* a c) (* b d))
(+.f64 (*.f64 b d) (*.f64 c a))
(+ (* a c) (* b d))
(+.f64 (*.f64 b d) (*.f64 c a))
(* a c)
(*.f64 c a)
(* c (+ a (/ (* b d) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c)))
(* c (+ a (/ (* b d) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c)))
(* c (+ a (/ (* b d) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c)))
(* a c)
(*.f64 c a)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c)))
(* a c)
(*.f64 c a)
(+ (* a c) (* b d))
(+.f64 (*.f64 b d) (*.f64 c a))
(+ (* a c) (* b d))
(+.f64 (*.f64 b d) (*.f64 c a))
(+ (* a c) (* b d))
(+.f64 (*.f64 b d) (*.f64 c a))
(* b d)
(*.f64 b d)
(* b (+ d (/ (* a c) b)))
(*.f64 b (+.f64 d (/.f64 (*.f64 c a) b)))
(* b (+ d (/ (* a c) b)))
(*.f64 b (+.f64 d (/.f64 (*.f64 c a) b)))
(* b (+ d (/ (* a c) b)))
(*.f64 b (+.f64 d (/.f64 (*.f64 c a) b)))
(* b d)
(*.f64 b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 b (+.f64 d (/.f64 (*.f64 c a) b)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 b (+.f64 d (/.f64 (*.f64 c a) b)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 b (+.f64 d (/.f64 (*.f64 c a) b)))
(* a c)
(*.f64 c a)
(+ (* a c) (* b d))
(+.f64 (*.f64 b d) (*.f64 c a))
(+ (* a c) (* b d))
(+.f64 (*.f64 b d) (*.f64 c a))
(+ (* a c) (* b d))
(+.f64 (*.f64 b d) (*.f64 c a))
(* b d)
(*.f64 b d)
(* d (+ b (/ (* a c) d)))
(*.f64 d (+.f64 b (*.f64 a (/.f64 c d))))
(* d (+ b (/ (* a c) d)))
(*.f64 d (+.f64 b (*.f64 a (/.f64 c d))))
(* d (+ b (/ (* a c) d)))
(*.f64 d (+.f64 b (*.f64 a (/.f64 c d))))
(* b d)
(*.f64 b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (+.f64 b (*.f64 a (/.f64 c d))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (+.f64 b (*.f64 a (/.f64 c d))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (+.f64 b (*.f64 a (/.f64 c d))))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(* b d)
(*.f64 b d)
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(+.f64 (*.f64 c c) (*.f64 d d))
(+ (pow c 2) (pow d 2))
(+.f64 (*.f64 c c) (*.f64 d d))
(+ (pow c 2) (pow d 2))
(+.f64 (*.f64 c c) (*.f64 d d))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c))))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c))))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(+.f64 (*.f64 c c) (*.f64 d d))
(+ (pow c 2) (pow d 2))
(+.f64 (*.f64 c c) (*.f64 d d))
(+ (pow c 2) (pow d 2))
(+.f64 (*.f64 c c) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d)))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d)))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d)))))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d)))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d)))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 d (*.f64 d (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d)))))

eval48.0ms (0.5%)

Compiler

Compiled 17043 to 945 computations (94.5% saved)

prune73.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New45214466
Fresh000
Picked101
Done000
Total45314467
Accuracy
99.2%
Counts
467 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d))))
40.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
57.2%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c)))))
37.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
57.6%
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
51.0%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
55.9%
(/.f64 (*.f64 d (+.f64 b (*.f64 a (/.f64 c d)))) (+.f64 (*.f64 c c) (*.f64 d d)))
46.5%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
43.4%
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
62.0%
(/.f64 (*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) (+.f64 (*.f64 c c) (*.f64 d d)))
45.1%
(/.f64 b d)
43.9%
(/.f64 a c)
66.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))))
59.7%
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (*.f64 b (+.f64 (*.f64 c c) (*.f64 d d))))))
Compiler

Compiled 480 to 282 computations (41.3% saved)

simplify379.0ms (4.1%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a (/.f64 c d))
cost-diff0
(+.f64 b (*.f64 a (/.f64 c d)))
cost-diff0
(/.f64 (*.f64 d (+.f64 b (*.f64 a (/.f64 c d)))) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff128
(*.f64 d (+.f64 b (*.f64 a (/.f64 c d))))
cost-diff0
(*.f64 b d)
cost-diff0
(*.f64 a c)
cost-diff0
(+.f64 (*.f64 a c) (*.f64 b d))
cost-diff0
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
cost-diff0
(/.f64 c d)
cost-diff0
(*.f64 a (/.f64 c d))
cost-diff0
(+.f64 b (*.f64 a (/.f64 c d)))
cost-diff0
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
cost-diff0
(/.f64 a c)
cost-diff0
(*.f64 c c)
cost-diff0
(+.f64 (*.f64 c c) (*.f64 d d))
cost-diff0
(/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))))
Rules
5826×*-lowering-*.f32
5826×*-lowering-*.f64
3480×fma-define
3252×fma-lowering-fma.f32
3252×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021158
147155
288153
3157153
4255153
5509153
61423153
72637153
83745153
94622153
106282153
116321153
126358153
136395153
147121153
157804153
08816153
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
1
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
(+ (* c c) (* d d))
(* c c)
c
(* d d)
d
(+ (* a c) (* b d))
(* a c)
a
(* b d)
b
(/ a c)
a
c
(/ (+ b (* a (/ c d))) d)
(+ b (* a (/ c d)))
b
(* a (/ c d))
a
(/ c d)
c
d
(/ (+ (* a c) (* b d)) (* c c))
(+ (* a c) (* b d))
(* a c)
a
c
(* b d)
b
d
(* c c)
(/ (* d (+ b (* a (/ c d)))) (+ (* c c) (* d d)))
(* d (+ b (* a (/ c d))))
d
(+ b (* a (/ c d)))
b
(* a (/ c d))
a
(/ c d)
c
(+ (* c c) (* d d))
(* c c)
(* d d)
Outputs
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
(/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
1
#s(literal 1 binary64)
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
(/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 c a) (*.f64 d b)))
(+ (* c c) (* d d))
(+.f64 (*.f64 c c) (*.f64 d d))
(* c c)
(*.f64 c c)
c
(* d d)
(*.f64 d d)
d
(+ (* a c) (* b d))
(+.f64 (*.f64 c a) (*.f64 d b))
(* a c)
(*.f64 c a)
a
(* b d)
(*.f64 d b)
b
(/ a c)
(/.f64 a c)
a
c
(/ (+ b (* a (/ c d))) d)
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
(+ b (* a (/ c d)))
(+.f64 b (/.f64 (*.f64 c a) d))
b
(* a (/ c d))
(/.f64 (*.f64 c a) d)
a
(/ c d)
(/.f64 c d)
c
d
(/ (+ (* a c) (* b d)) (* c c))
(/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (*.f64 c c))
(+ (* a c) (* b d))
(+.f64 (*.f64 c a) (*.f64 d b))
(* a c)
(*.f64 c a)
a
c
(* b d)
(*.f64 d b)
b
d
(* c c)
(*.f64 c c)
(/ (* d (+ b (* a (/ c d)))) (+ (* c c) (* d d)))
(/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(* d (+ b (* a (/ c d))))
(+.f64 (*.f64 c a) (*.f64 d b))
d
(+ b (* a (/ c d)))
(+.f64 b (/.f64 (*.f64 c a) d))
b
(* a (/ c d))
(/.f64 (*.f64 c a) d)
a
(/ c d)
(/.f64 c d)
c
(+ (* c c) (* d d))
(+.f64 (*.f64 c c) (*.f64 d d))
(* c c)
(*.f64 c c)
(* d d)
(*.f64 d d)

localize161.0ms (1.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 b (*.f64 a (/.f64 c d)))
accuracy93.4%
(*.f64 a (/.f64 c d))
accuracy91.4%
(*.f64 d (+.f64 b (*.f64 a (/.f64 c d))))
accuracy66.9%
(/.f64 (*.f64 d (+.f64 b (*.f64 a (/.f64 c d)))) (+.f64 (*.f64 c c) (*.f64 d d)))
accuracy100.0%
(*.f64 c c)
accuracy100.0%
(*.f64 b d)
accuracy100.0%
(*.f64 a c)
accuracy74.0%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
accuracy100.0%
(/.f64 c d)
accuracy100.0%
(+.f64 b (*.f64 a (/.f64 c d)))
accuracy99.9%
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
accuracy93.4%
(*.f64 a (/.f64 c d))
accuracy100.0%
(/.f64 a c)
accuracy100.0%
(*.f64 a c)
accuracy100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))))
accuracy67.1%
(/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))
Results
125.0ms256×0valid
Compiler

Compiled 190 to 22 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 15.0ms (46.3% of total)
ival-mult: 13.0ms (40.1% of total)
ival-add: 4.0ms (12.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series38.0ms (0.4%)

Counts
15 → 552
Calls
Call 1
Inputs
#<alt (/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))>
#<alt (/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))>
#<alt (+ (* c c) (* d d))>
#<alt (* c c)>
#<alt (/ a c)>
#<alt (/ (+ b (* a (/ c d))) d)>
#<alt (+ b (* a (/ c d)))>
#<alt (* a (/ c d))>
#<alt (/ c d)>
#<alt (/ (+ (* a c) (* b d)) (* c c))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* b d)>
#<alt (* d (+ b (* a (/ c d))))>
#<alt (/ (* d (+ b (* a (/ c d)))) (+ (* c c) (* d d)))>
Outputs
#<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)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))>
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))>
#<alt (/ b d)>
#<alt (/ (+ b (/ (* a c) d)) d)>
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))>
#<alt (/ (* a c) (+ (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 (/ d b)>
#<alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b))>
#<alt (+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))>
#<alt (+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))>
#<alt (/ c a)>
#<alt (* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))>
#<alt (* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))>
#<alt (* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))>
#<alt (/ c a)>
#<alt (* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))>
#<alt (/ c a)>
#<alt (+ (* -1 (/ (* b d) (pow a 2))) (/ c a))>
#<alt (+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))>
#<alt (+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))>
#<alt (/ d b)>
#<alt (* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))>
#<alt (* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))>
#<alt (* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))>
#<alt (/ d b)>
#<alt (* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))>
#<alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))>
#<alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* b d))>
#<alt (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d))))>
#<alt (+ (* a (- (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* a c))>
#<alt (/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a)>
#<alt (/ (- (+ c (+ (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3))) (/ (pow d 2) c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)>
#<alt (/ (- (+ c (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a)>
#<alt (/ (+ (pow c 2) (pow d 2)) (* a c))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* a c))>
#<alt (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2)))) (+ (/ c a) (/ (pow d 2) (* a c))))>
#<alt (+ (* b (- (/ (* b (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 3))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))>
#<alt (+ (* b (- (* b (- (* -1 (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* b d))>
#<alt (/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b)>
#<alt (/ (- (+ d (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3))) (/ (pow c 2) d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)>
#<alt (/ (- (+ d (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b)>
#<alt (/ (+ (pow c 2) (pow d 2)) (* b d))>
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#<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))>
Calls

138 calls:

TimeVariablePointExpression
5.0ms
c
@0
(/ (+ b (* a (/ c d))) d)
1.0ms
c
@-inf
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
1.0ms
c
@inf
(+ b (* a (/ c d)))
1.0ms
a
@inf
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
1.0ms
b
@inf
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

rewrite364.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
3726×*-lowering-*.f32
3726×*-lowering-*.f64
3210×/-lowering-/.f32
3210×/-lowering-/.f64
2124×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021104
113199
2108699
0828799
Stop Event
iter limit
node limit
Counts
15 → 609
Calls
Call 1
Inputs
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
(+ (* c c) (* d d))
(* c c)
(/ a c)
(/ (+ b (* a (/ c d))) d)
(+ b (* a (/ c d)))
(* a (/ c d))
(/ c d)
(/ (+ (* a c) (* b d)) (* c c))
(+ (* a c) (* b d))
(* a c)
(* b d)
(* d (+ b (* a (/ c d))))
(/ (* d (+ b (* a (/ c d)))) (+ (* c c) (* d d)))
Outputs
(+.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d))))) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 d d))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a)))
(+.f64 (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))))
(+.f64 (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 #s(literal 0 binary64) (*.f64 d b))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 #s(literal 0 binary64) (*.f64 c a))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 #s(literal 0 binary64) (*.f64 c a))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 #s(literal 0 binary64) (*.f64 d b))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))) (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 c c) (*.f64 c c))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 c c)) (*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d))))) (-.f64 #s(literal 0 binary64) (*.f64 d d))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 d b)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 d b)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))))
(+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) (*.f64 (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))))
(+.f64 (*.f64 (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))))
(+.f64 (*.f64 (*.f64 c c) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))))))
(+.f64 (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 d d)) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 c a) (*.f64 d b)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 c a) (*.f64 d b))) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 c a) (*.f64 d b))) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b)))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b)))))
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))))
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 c a) (*.f64 d b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b))) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 c a) (*.f64 d b)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))))))
(/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 d b)) (*.f64 c a))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 d b)) (*.f64 c a)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d))))
(/.f64 (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))))
(/.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c a) (*.f64 d b))))
(/.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))))) (neg.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))))))
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 d b)) (*.f64 c a)) (-.f64 (*.f64 c a) (*.f64 d b))) (neg.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b)))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 c a) (*.f64 d b))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))))) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))) (-.f64 (*.f64 c a) (*.f64 d b)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 c a) (*.f64 d b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 c a)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d b))))))
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(*.f64 (/.f64 (*.f64 d (+.f64 b (/.f64 (*.f64 c a) d))) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))))
(*.f64 (/.f64 (*.f64 d (+.f64 b (/.f64 (*.f64 c a) d))) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d))))) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 (*.f64 d (+.f64 b (/.f64 (*.f64 c a) d))) (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c c) (*.f64 d d)))))
(*.f64 (/.f64 d (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))))
(*.f64 (/.f64 d (-.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c c) (*.f64 d d)))))
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c a) d)) b) (+.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) d) (+.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c a) d)) b) #s(literal -1 binary64)) (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (*.f64 d (+.f64 b (/.f64 (*.f64 c a) d)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (*.f64 d (+.f64 b (/.f64 (*.f64 c a) d)))) #s(literal -1/2 binary64)))

simplify346.0ms (3.8%)

Algorithm
egg-herbie
Rules
6848×*-lowering-*.f32
6848×*-lowering-*.f64
3154×/-lowering-/.f32
3154×/-lowering-/.f64
2294×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05866339
121725405
083845405
Stop Event
iter limit
node limit
Counts
552 → 552
Calls
Call 1
Inputs
(/ 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)
(+ (/ 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) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(/ (* a c) (+ (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))))))))
(/ d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(/ c a)
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a)))
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c)))))
(/ c a)
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a))))
(/ c a)
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a))
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a))
(/ d b)
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b)))
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d)))))
(/ d b)
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b))))
(/ (+ (pow c 2) (pow d 2)) (* b d))
(+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d))))
(+ (* a (- (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(+ (* a (- (* a (- (* -1 (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d))))
(/ (+ (pow c 2) (pow d 2)) (* a c))
(/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a)
(/ (- (+ c (+ (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3))) (/ (pow d 2) c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)
(/ (- (+ c (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a)
(/ (+ (pow c 2) (pow d 2)) (* a c))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a))
(/ (+ (pow c 2) (pow d 2)) (* a c))
(+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2)))) (+ (/ c a) (/ (pow d 2) (* a c))))
(+ (* b (- (/ (* b (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 3))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))
(+ (* b (- (* b (- (* -1 (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c))))
(/ (+ (pow c 2) (pow d 2)) (* b d))
(/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b)
(/ (- (+ d (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3))) (/ (pow c 2) d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)
(/ (- (+ d (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b)
(/ (+ (pow c 2) (pow d 2)) (* b d))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* b (pow d 3))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* b (pow d 4))) (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3))) b)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b))
(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 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)
(/ (* 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))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/ (* a c) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/ (* a c) 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)))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ (* b d) (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))))
(/ (* 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))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(* b (+ (/ a (* b c)) (/ d (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))
(/ a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(+ (/ a c) (/ (* b d) (pow c 2)))
(/ (* b d) (pow c 2))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(* d (+ (/ a (* c d)) (/ b (pow c 2))))
(/ (* b d) (pow c 2))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))
(* b d)
(+ (* 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)))))
(* 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)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* 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) (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))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(/ (* b d) (+ (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))
Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 (*.f64 a c) d) d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+.f64 (/.f64 b d) (*.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))))))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(+.f64 (/.f64 b d) (*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (*.f64 c (-.f64 (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 b (*.f64 d (*.f64 d d))))))))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (-.f64 a (/.f64 (*.f64 a (/.f64 (*.f64 d d) c)) c)) (/.f64 (*.f64 b d) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 (-.f64 a (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) (*.f64 c (*.f64 c c)))) (-.f64 (/.f64 (*.f64 b d) c) (/.f64 (*.f64 a (/.f64 (*.f64 d d) c)) c))) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 a (/.f64 (*.f64 b d) c))) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 a (/.f64 (-.f64 (*.f64 b d) (*.f64 a (/.f64 (*.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 #s(literal 1 binary64) (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (+.f64 (*.f64 b (*.f64 d (/.f64 (*.f64 d d) c))) (*.f64 a (*.f64 d d))) c)) c))) c)
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+.f64 (/.f64 a c) (/.f64 (/.f64 (*.f64 b d) c) c))
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))
(+.f64 (/.f64 a c) (*.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c)))))))
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))
(+.f64 (/.f64 a c) (*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (*.f64 d (-.f64 (/.f64 (*.f64 b d) (neg.f64 (*.f64 c (*.f64 c (*.f64 c c))))) (/.f64 a (*.f64 c (*.f64 c c))))))))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 (-.f64 b (/.f64 (*.f64 b (/.f64 (*.f64 c c) d)) d)) (/.f64 (*.f64 a c) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (+.f64 (-.f64 (/.f64 (*.f64 a c) d) (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) (*.f64 d (*.f64 d d)))) (-.f64 b (/.f64 (*.f64 b (/.f64 (*.f64 c c) d)) d))) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 b (/.f64 (*.f64 a c) d))) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 b (/.f64 (-.f64 (*.f64 a c) (*.f64 b (/.f64 (*.f64 c c) d))) d))) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 b (/.f64 (-.f64 (*.f64 a c) (/.f64 (+.f64 (*.f64 b (*.f64 c c)) (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) d)) d)) d))) d)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c)))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 a c) b) (+.f64 (*.f64 d d) (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 a c) b) (+.f64 (*.f64 d d) (*.f64 c c)))))
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 a c) b) (+.f64 (*.f64 d d) (*.f64 c c)))))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c)))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) (+.f64 (/.f64 d (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 a c) b) (+.f64 (*.f64 d d) (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) (+.f64 (/.f64 d (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 a c) b) (+.f64 (*.f64 d d) (*.f64 c c)))))
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) (+.f64 (/.f64 d (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 a c) b) (+.f64 (*.f64 d d) (*.f64 c c)))))
(/ d b)
(/.f64 d b)
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b))
(-.f64 (/.f64 d b) (*.f64 a (/.f64 c (*.f64 b b))))
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
(+.f64 (/.f64 d b) (*.f64 c (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) d))) (/.f64 a (*.f64 b b)))))
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b))
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(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c))))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 b d) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c)))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c)))))
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c)))))
(/ (* a c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c)))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)) (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c)))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+.f64 (/.f64 b d) (/.f64 (/.f64 (*.f64 a c) d) d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+.f64 (/.f64 b d) (*.f64 c (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d d))))))
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))
(+.f64 (/.f64 b d) (*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (*.f64 c (-.f64 (/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c)) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 b (*.f64 d (*.f64 d d))))))))
(/ a c)
(/.f64 a c)
(/ (+ a (/ (* b d) c)) c)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)
(/.f64 (+.f64 (-.f64 a (/.f64 (*.f64 a (/.f64 (*.f64 d d) c)) c)) (/.f64 (*.f64 b d) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 (-.f64 a (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) (*.f64 c (*.f64 c c)))) (-.f64 (/.f64 (*.f64 b d) c) (/.f64 (*.f64 a (/.f64 (*.f64 d d) c)) c))) c)
(/ a c)
(/.f64 a c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 a (/.f64 (*.f64 b d) c))) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 a (/.f64 (-.f64 (*.f64 b d) (*.f64 a (/.f64 (*.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 #s(literal 1 binary64) (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (+.f64 (*.f64 b (*.f64 d (/.f64 (*.f64 d d) c))) (*.f64 a (*.f64 d d))) c)) c))) c)

eval233.0ms (2.5%)

Compiler

Compiled 39509 to 2605 computations (93.4% saved)

prune297.0ms (3.2%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New1617161633
Fresh549
Picked235
Done000
Total1624231647
Accuracy
99.2%
Counts
1647 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.5%
(/.f64 (/.f64 (*.f64 b d) c) c)
26.4%
(/.f64 (/.f64 (*.f64 a c) d) d)
55.8%
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (+.f64 b (/.f64 (*.f64 c a) d))))
57.2%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c)))))
37.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
57.6%
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
57.6%
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
51.0%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
40.2%
(/.f64 (*.f64 d (+.f64 b (*.f64 a (/.f64 c d)))) (*.f64 d d))
43.4%
(/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d)))
46.5%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
20.8%
(/.f64 (*.f64 b d) (*.f64 c c))
45.1%
(/.f64 b d)
43.9%
(/.f64 a c)
46.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 d d) (*.f64 c c)) (*.f64 a c)))
44.7%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
43.8%
(/.f64 #s(literal 1 binary64) (/.f64 c a))
46.2%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 d b) (*.f64 c (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) d))) (/.f64 a (*.f64 b b))))))
28.1%
(*.f64 (pow.f64 (/.f64 c (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) c)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) c)) #s(literal -1/2 binary64)))
42.2%
(*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) c) (/.f64 #s(literal 1 binary64) c))
55.9%
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 b (/.f64 (*.f64 c a) d)))
43.8%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
40.2%
(*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (/.f64 a (*.f64 d c))))
Compiler

Compiled 667 to 404 computations (39.4% saved)

simplify400.0ms (4.4%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 c a)
cost-diff0
(+.f64 (*.f64 c a) (*.f64 d b))
cost-diff128
(/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) c)
cost-diff128
(*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) c) (/.f64 #s(literal 1 binary64) c))
cost-diff0
(/.f64 (*.f64 c a) d)
cost-diff0
(+.f64 b (/.f64 (*.f64 c a) d))
cost-diff0
(/.f64 #s(literal 1 binary64) d)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 b (/.f64 (*.f64 c a) d)))
cost-diff0
(*.f64 c c)
cost-diff0
(*.f64 b d)
cost-diff0
(/.f64 (*.f64 b d) (*.f64 c c))
cost-diff0
(/.f64 b d)
cost-diff0
(/.f64 d c)
cost-diff0
(/.f64 a (/.f64 d c))
cost-diff0
(+.f64 b (/.f64 a (/.f64 d c)))
cost-diff0
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
Rules
6446×*-lowering-*.f32
6446×*-lowering-*.f64
3662×cube-prod
2000×/-lowering-/.f32
2000×/-lowering-/.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
023116
158111
2115110
3219110
4441107
5784107
61184107
71963107
82820107
93231107
103583107
113829107
124174107
134621107
145163107
155657107
165915107
176029107
186134107
196241107
206662107
217475107
08165107
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ b (/ a (/ d c))) d)
(+ b (/ a (/ d c)))
b
(/ a (/ d c))
a
(/ d c)
d
c
(/ b d)
b
d
(/ (* b d) (* c c))
(* b d)
b
d
(* c c)
c
(* (/ 1 d) (+ b (/ (* c a) d)))
(/ 1 d)
1
d
(+ b (/ (* c a) d))
b
(/ (* c a) d)
(* c a)
c
a
(* (/ (+ (* c a) (* d b)) c) (/ 1 c))
(/ (+ (* c a) (* d b)) c)
(+ (* c a) (* d b))
(* c a)
c
a
(* d b)
d
b
(/ 1 c)
1
Outputs
(/ (+ b (/ a (/ d c))) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(+ b (/ a (/ d c)))
(+.f64 b (/.f64 a (/.f64 d c)))
b
(/ a (/ d c))
(/.f64 a (/.f64 d c))
a
(/ d c)
(/.f64 d c)
d
c
(/ b d)
(/.f64 b d)
b
d
(/ (* b d) (* c c))
(/.f64 (*.f64 b d) (*.f64 c c))
(* b d)
(*.f64 b d)
b
d
(* c c)
(*.f64 c c)
c
(* (/ 1 d) (+ b (/ (* c a) d)))
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
1
#s(literal 1 binary64)
d
(+ b (/ (* c a) d))
(+.f64 b (/.f64 a (/.f64 d c)))
b
(/ (* c a) d)
(/.f64 a (/.f64 d c))
(* c a)
(*.f64 a c)
c
a
(* (/ (+ (* c a) (* d b)) c) (/ 1 c))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/ (+ (* c a) (* d b)) c)
(+.f64 a (/.f64 (*.f64 b d) c))
(+ (* c a) (* d b))
(+.f64 (*.f64 a c) (*.f64 b d))
(* c a)
(*.f64 a c)
c
a
(* d b)
(*.f64 b d)
d
b
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
1
#s(literal 1 binary64)

localize388.0ms (4.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 d b)
accuracy100.0%
(*.f64 c a)
accuracy99.3%
(*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) c) (/.f64 #s(literal 1 binary64) c))
accuracy85.5%
(/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) c)
accuracy100.0%
(*.f64 c a)
accuracy100.0%
(+.f64 b (/.f64 (*.f64 c a) d))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 b (/.f64 (*.f64 c a) d)))
accuracy92.3%
(/.f64 (*.f64 c a) d)
accuracy100.0%
(*.f64 c c)
accuracy100.0%
(*.f64 b d)
accuracy79.6%
(/.f64 (*.f64 b d) (*.f64 c c))
accuracy100.0%
(/.f64 b d)
accuracy100.0%
(/.f64 d c)
accuracy100.0%
(+.f64 b (/.f64 a (/.f64 d c)))
accuracy99.9%
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
accuracy93.6%
(/.f64 a (/.f64 d c))
Results
361.0ms256×0valid
Compiler

Compiled 131 to 24 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 238.0ms
ival-div: 224.0ms (94.3% of total)
ival-mult: 10.0ms (4.2% of total)
ival-add: 4.0ms (1.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.4%)

Counts
17 → 588
Calls
Call 1
Inputs
#<alt (/ (+ b (/ a (/ d c))) d)>
#<alt (+ b (/ a (/ d c)))>
#<alt (/ a (/ d c))>
#<alt (/ d c)>
#<alt (/ b d)>
#<alt (/ (* b d) (* c c))>
#<alt (* b d)>
#<alt (* c c)>
#<alt (* (/ 1 d) (+ b (/ (* c a) d)))>
#<alt (/ 1 d)>
#<alt (+ b (/ (* c a) d))>
#<alt (/ (* c a) d)>
#<alt (* (/ (+ (* c a) (* d b)) c) (/ 1 c))>
#<alt (/ (+ (* c a) (* d b)) c)>
#<alt (+ (* c a) (* d b))>
#<alt (* c a)>
#<alt (* d b)>
Outputs
#<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 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 (/ (* 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 (* 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) 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 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 (/ (* 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 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) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ 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 (/ 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 (/ (* 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 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 (/ 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 (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 d)>
#<alt (/ 1 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 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 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 (/ (* 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 (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* b d) (pow c 2))>
#<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 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) 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 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)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* b d)>
#<alt (* b d)>
#<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

147 calls:

TimeVariablePointExpression
17.0ms
b
@0
(/ b d)
6.0ms
d
@inf
(/ (+ (* c a) (* d b)) c)
1.0ms
b
@inf
(/ (* b d) (* c c))
0.0ms
d
@inf
(/ (* b d) (* c c))
0.0ms
b
@0
(/ (* b d) (* c c))

rewrite421.0ms (4.6%)

Algorithm
batch-egg-rewrite
Rules
4378×/-lowering-/.f32
4378×/-lowering-/.f64
3512×*-lowering-*.f32
3512×*-lowering-*.f64
1928×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02391
115086
2139686
0836486
Stop Event
iter limit
node limit
Counts
17 → 1329
Calls
Call 1
Inputs
(/ (+ b (/ a (/ d c))) d)
(+ b (/ a (/ d c)))
(/ a (/ d c))
(/ d c)
(/ b d)
(/ (* b d) (* c c))
(* b d)
(* c c)
(* (/ 1 d) (+ b (/ (* c a) d)))
(/ 1 d)
(+ b (/ (* c a) d))
(/ (* c a) d)
(* (/ (+ (* c a) (* d b)) c) (/ 1 c))
(/ (+ (* c a) (* d b)) c)
(+ (* c a) (* d b))
(* c a)
(* d b)
Outputs
(+.f64 (/.f64 b d) (/.f64 (*.f64 c (/.f64 a d)) d))
(+.f64 (/.f64 (*.f64 c (/.f64 a d)) d) (/.f64 b d))
(exp.f64 (*.f64 (log.f64 (/.f64 d (+.f64 b (*.f64 c (/.f64 a d))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) d)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d)))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (*.f64 c (/.f64 a d)))) d) (/.f64 (/.f64 (/.f64 (*.f64 c (/.f64 a d)) (/.f64 d (*.f64 a c))) (-.f64 b (*.f64 c (/.f64 a d)))) d))
(-.f64 (/.f64 (*.f64 b b) (*.f64 d (-.f64 b (*.f64 c (/.f64 a d))))) (/.f64 (/.f64 (*.f64 c (/.f64 a d)) (/.f64 d (*.f64 a c))) (*.f64 d (-.f64 b (*.f64 c (/.f64 a d))))))
(-.f64 (/.f64 (*.f64 (/.f64 b d) (/.f64 b d)) (/.f64 (-.f64 b (*.f64 c (/.f64 a d))) d)) (/.f64 (*.f64 (/.f64 (*.f64 c (/.f64 a d)) d) (/.f64 (*.f64 c (/.f64 a d)) d)) (/.f64 (-.f64 b (*.f64 c (/.f64 a d))) d)))
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c (/.f64 a d)) d))
(fma.f64 c (*.f64 (/.f64 a d) (/.f64 #s(literal 1 binary64) d)) (/.f64 b d))
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (/.f64 (*.f64 c (/.f64 a d)) d))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (/.f64 a d)) d) (/.f64 b d))
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (/.f64 (*.f64 c (/.f64 a d)) d))
(fma.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (/.f64 a d)) (/.f64 b d))
(fma.f64 (*.f64 a c) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) d)) (/.f64 b d))
(fma.f64 (*.f64 c (/.f64 a d)) (/.f64 #s(literal 1 binary64) d) (/.f64 b d))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 c (/.f64 a d)) d))
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d))
(fma.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 c (/.f64 a d)) d))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b (*.f64 c (/.f64 a d))) d)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (*.f64 c (/.f64 a d)))) d))
(/.f64 #s(literal 1 binary64) (/.f64 d (+.f64 b (*.f64 c (/.f64 a d)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (+.f64 b (*.f64 c (/.f64 a d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (+.f64 (*.f64 b b) (/.f64 (-.f64 (*.f64 c (/.f64 a d)) b) (/.f64 d (*.f64 a c))))) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (-.f64 b (*.f64 c (/.f64 a d)))) (*.f64 (+.f64 b (*.f64 c (/.f64 a d))) (-.f64 b (*.f64 c (/.f64 a d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (+.f64 (*.f64 b b) (/.f64 (-.f64 (*.f64 c (/.f64 a d)) b) (/.f64 d (*.f64 a c))))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 d (*.f64 d d)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b (*.f64 d (*.f64 b d))) (-.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 (*.f64 (*.f64 a c) d) b))) (+.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))) (*.f64 (+.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b d)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (-.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c (*.f64 a (*.f64 a c))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d)))))
(/.f64 (+.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (+.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))
(/.f64 (+.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (+.f64 (*.f64 b (*.f64 d (*.f64 b d))) (-.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 (*.f64 (*.f64 a c) d) b))))
(/.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b d)))) (-.f64 (*.f64 a c) (*.f64 b d)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64)) (+.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))
(/.f64 (*.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b d)))) #s(literal 1 binary64)) (-.f64 (*.f64 a c) (*.f64 b d)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (neg.f64 (+.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (neg.f64 (+.f64 (*.f64 b (*.f64 d (*.f64 b d))) (-.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 (*.f64 (*.f64 a c) d) b)))))
(/.f64 (neg.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b d))))) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (-.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c (*.f64 a (*.f64 a c)))) (-.f64 (*.f64 b d) (*.f64 a c)))
(/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 a (*.f64 a c))) (-.f64 (*.f64 a c) (*.f64 b d))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 d (*.f64 b d))))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64))) (neg.f64 (+.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b d)))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b d)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d)))))
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c (*.f64 a (*.f64 a c))))) (neg.f64 (-.f64 (*.f64 b d) (*.f64 a c))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (-.f64 (*.f64 a c) (*.f64 b d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (-.f64 (*.f64 a c) (*.f64 b d))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (-.f64 (*.f64 a c) (*.f64 b d)))) (+.f64 (*.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (-.f64 (*.f64 a c) (*.f64 b d)))) (*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 a c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (-.f64 (*.f64 a c) (*.f64 b d)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d)))
(*.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 a c) (*.f64 c (*.f64 a (*.f64 a c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))
(*.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b d)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))))
(*.f64 a c)
(*.f64 c a)
(*.f64 b d)
(*.f64 d b)

simplify219.0ms (2.4%)

Algorithm
egg-herbie
Rules
2994×*-lowering-*.f32
2994×*-lowering-*.f64
1876×/-lowering-/.f32
1876×/-lowering-/.f64
1012×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01613450
15973111
220873111
358463045
082323045
Stop Event
iter limit
node limit
Counts
588 → 588
Calls
Call 1
Inputs
(/ (* 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))))
(/ 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))))))
(/ (* 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))
(* 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) 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)))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ 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)
(/ 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))
(/ (* 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)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(pow c 2)
(pow c 2)
(pow 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) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/ (* a c) (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))))
(/ 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))))))
(/ 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))))))
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ 1 d)
(/ (* a c) d)
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
(* b (+ 1 (/ (* a c) (* b d))))
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* b d) (pow c 2))
(/ (+ (* 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 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) 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)))
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)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a (+ c (/ (* b d) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* 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)
(* 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 d 2))
(/.f64 (/.f64 (*.f64 a c) d) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ b d)
(/.f64 b d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (* a c) (pow d 2))
(/.f64 (/.f64 (*.f64 a c) d) d)
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (* a c) (pow d 2))
(/.f64 (/.f64 (*.f64 a c) d) d)
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (* a c) (pow d 2))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (*.f64 d d))
(/ (+ (* a c) (* b d)) (pow d 2))
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (*.f64 d d))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (* a c) (pow d 2))
(/.f64 (/.f64 (*.f64 a c) d) d)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (* a c) (pow d 2))
(/.f64 (/.f64 (*.f64 a c) d) d)
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
b
(* b (+ 1 (/ (* a c) (* b d))))
(+.f64 b (/.f64 (*.f64 a c) d))
(* b (+ 1 (/ (* a c) (* b d))))
(+.f64 b (/.f64 (*.f64 a c) d))
(* b (+ 1 (/ (* a c) (* b d))))
(+.f64 b (/.f64 (*.f64 a c) d))
b
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(+.f64 b (/.f64 (*.f64 a c) d))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(+.f64 b (/.f64 (*.f64 a c) d))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))
(+.f64 b (/.f64 (*.f64 a c) d))
b
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* a (+ (/ b a) (/ c d)))
(+.f64 b (/.f64 (*.f64 a c) d))
(* a (+ (/ b a) (/ c d)))
(+.f64 b (/.f64 (*.f64 a c) d))
(* a (+ (/ b a) (/ c d)))
(+.f64 b (/.f64 (*.f64 a c) d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(+.f64 b (/.f64 (*.f64 a c) d))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(+.f64 b (/.f64 (*.f64 a c) d))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(+.f64 b (/.f64 (*.f64 a c) d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) d)
(/ (+ (* a c) (* b d)) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) d)
b
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
b
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
b
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(+ b (/ (* a c) d))
(+.f64 b (/.f64 (*.f64 a c) d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* c (+ (/ a d) (/ b c)))
(+.f64 b (/.f64 (*.f64 a c) d))
(* c (+ (/ a d) (/ b c)))
(+.f64 b (/.f64 (*.f64 a c) d))
(* c (+ (/ a d) (/ b c)))
(+.f64 b (/.f64 (*.f64 a c) d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(+.f64 b (/.f64 (*.f64 a c) d))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(+.f64 b (/.f64 (*.f64 a c) d))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(+.f64 b (/.f64 (*.f64 a c) d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ b d)
(/.f64 b d)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(/ (* b d) (pow c 2))
(/.f64 (/.f64 (*.f64 d b) c) c)
(* 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)
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(/.f64 (*.f64 d b) c)
(* b (+ (/ a b) (/ d c)))
(+.f64 a (/.f64 (*.f64 d b) c))
(* b (+ (/ a b) (/ d c)))
(+.f64 a (/.f64 (*.f64 d b) c))
(* b (+ (/ a b) (/ d c)))
(+.f64 a (/.f64 (*.f64 d b) c))
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(+.f64 a (/.f64 (*.f64 d b) c))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(+.f64 a (/.f64 (*.f64 d b) c))
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))
(+.f64 a (/.f64 (*.f64 d b) c))
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 d b))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 d b))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 d b))
(* a c)
(*.f64 a c)
(* c (+ a (/ (* b d) c)))
(+.f64 (*.f64 a c) (*.f64 d b))
(* c (+ a (/ (* b d) c)))
(+.f64 (*.f64 a c) (*.f64 d b))
(* c (+ a (/ (* b d) c)))
(+.f64 (*.f64 a c) (*.f64 d b))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(+.f64 (*.f64 a c) (*.f64 d b))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(+.f64 (*.f64 a c) (*.f64 d b))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(+.f64 (*.f64 a c) (*.f64 d b))
(* b d)
(*.f64 d b)
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 d b))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 d b))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 d b))
(* a c)
(*.f64 a c)
(* a (+ c (/ (* b d) a)))
(+.f64 (*.f64 a c) (*.f64 d b))
(* a (+ c (/ (* b d) a)))
(+.f64 (*.f64 a c) (*.f64 d b))
(* a (+ c (/ (* b d) a)))
(+.f64 (*.f64 a c) (*.f64 d b))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(+.f64 (*.f64 a c) (*.f64 d b))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(+.f64 (*.f64 a c) (*.f64 d b))
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))
(+.f64 (*.f64 a c) (*.f64 d b))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 d b))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 d b))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 d b))
(* b d)
(*.f64 d b)
(* d (+ b (/ (* a c) d)))
(+.f64 (*.f64 a c) (*.f64 d b))
(* d (+ b (/ (* a c) d)))
(+.f64 (*.f64 a c) (*.f64 d b))
(* d (+ b (/ (* a c) d)))
(+.f64 (*.f64 a c) (*.f64 d b))
(* b d)
(*.f64 d b)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(+.f64 (*.f64 a c) (*.f64 d b))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(+.f64 (*.f64 a c) (*.f64 d b))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(+.f64 (*.f64 a c) (*.f64 d b))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 d b))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 d b))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 d b))
(* b d)
(*.f64 d b)
(* b (+ d (/ (* a c) b)))
(+.f64 (*.f64 a c) (*.f64 d b))
(* b (+ d (/ (* a c) b)))
(+.f64 (*.f64 a c) (*.f64 d b))
(* b (+ d (/ (* a c) b)))
(+.f64 (*.f64 a c) (*.f64 d b))
(* b d)
(*.f64 d b)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(+.f64 (*.f64 a c) (*.f64 d b))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(+.f64 (*.f64 a c) (*.f64 d b))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(+.f64 (*.f64 a c) (*.f64 d b))
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* a c)
(*.f64 a c)
(* 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)

eval262.0ms (2.9%)

Compiler

Compiled 37400 to 2588 computations (93.1% saved)

prune210.0ms (2.3%)

Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New1933101943
Fresh7815
Picked235
Done033
Total1942241966
Accuracy
99.9%
Counts
1966 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.5%
(/.f64 (/.f64 (*.f64 d b) c) c)
26.4%
(/.f64 (/.f64 (*.f64 a c) d) d)
20.4%
(/.f64 (/.f64 b c) (/.f64 c d))
57.2%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c)))))
37.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
57.6%
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
57.6%
(/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)
57.6%
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
51.0%
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
43.4%
(/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d)))
46.5%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
20.8%
(/.f64 (*.f64 b d) (*.f64 c c))
45.1%
(/.f64 b d)
43.9%
(/.f64 a c)
46.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 d d) (*.f64 c c)) (*.f64 a c)))
37.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (+.f64 (*.f64 a c) (*.f64 b d))))
44.7%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
43.8%
(/.f64 #s(literal 1 binary64) (/.f64 c a))
24.8%
(*.f64 (/.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b d)))) c) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) c))
20.6%
(*.f64 (/.f64 (*.f64 d b) c) (/.f64 #s(literal 1 binary64) c))
26.3%
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d))
57.4%
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 (*.f64 c (/.f64 a d)) b))
45.0%
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
43.8%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
Compiler

Compiled 586 to 376 computations (35.8% saved)

simplify349.0ms (3.8%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 c c)
cost-diff0
(+.f64 (*.f64 c c) (*.f64 d d))
cost-diff0
(*.f64 d b)
cost-diff128
(/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff0
(/.f64 #s(literal 1 binary64) c)
cost-diff0
(*.f64 d b)
cost-diff0
(/.f64 (*.f64 d b) c)
cost-diff128
(*.f64 (/.f64 (*.f64 d b) c) (/.f64 #s(literal 1 binary64) c))
cost-diff0
(/.f64 c d)
cost-diff0
(/.f64 b c)
cost-diff0
(/.f64 (/.f64 b c) (/.f64 c d))
cost-diff0
(/.f64 #s(literal 1 binary64) c)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
cost-diff0
(/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))
cost-diff0
(+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d))))
cost-diff0
(/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 c d))
Rules
6374×*-lowering-*.f32
6374×*-lowering-*.f64
3024×fma-define
2918×fma-lowering-fma.f32
2918×fma-lowering-fma.f64
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
021106
14998
29897
320997
432697
545097
652697
755297
861097
968397
1074396
1177196
12104096
13243096
14330196
15448896
16509596
17582596
18613596
19627896
20638796
21717196
22727096
0801596
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ b (/ a (/ 1 (/ c d)))) d)
(+ b (/ a (/ 1 (/ c d))))
b
(/ a (/ 1 (/ c d)))
a
(/ 1 (/ c d))
1
(/ c d)
c
d
(* (/ 1 c) a)
(/ 1 c)
1
c
a
(/ (/ b c) (/ c d))
(/ b c)
b
c
(/ c d)
d
(* (/ (* d b) c) (/ 1 c))
(/ (* d b) c)
(* d b)
d
b
c
(/ 1 c)
1
(/ (* d b) (+ (* c c) (* d d)))
(* d b)
d
b
(+ (* c c) (* d d))
(* c c)
c
(* d d)
Outputs
(/ (+ b (/ a (/ 1 (/ c d)))) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(+ b (/ a (/ 1 (/ c d))))
(+.f64 b (/.f64 a (/.f64 d c)))
b
(/ a (/ 1 (/ c d)))
(/.f64 a (/.f64 d c))
a
(/ 1 (/ c d))
(/.f64 d c)
1
#s(literal 1 binary64)
(/ c d)
(/.f64 c d)
c
d
(* (/ 1 c) a)
(/.f64 a c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
1
#s(literal 1 binary64)
c
a
(/ (/ b c) (/ c d))
(/.f64 b (/.f64 c (/.f64 d c)))
(/ b c)
(/.f64 b c)
b
c
(/ c d)
(/.f64 c d)
d
(* (/ (* d b) c) (/ 1 c))
(/.f64 b (/.f64 c (/.f64 d c)))
(/ (* d b) c)
(/.f64 b (/.f64 c d))
(* d b)
(*.f64 b d)
d
b
c
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
1
#s(literal 1 binary64)
(/ (* d b) (+ (* c c) (* d d)))
(/.f64 b (+.f64 d (/.f64 c (/.f64 d c))))
(* d b)
(*.f64 b d)
d
b
(+ (* c c) (* d d))
(+.f64 (*.f64 c c) (*.f64 d d))
(* c c)
(*.f64 c c)
c
(* d d)
(*.f64 d d)

localize136.0ms (1.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 d b)
accuracy100.0%
(*.f64 c c)
accuracy100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy73.2%
(/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) c)
accuracy100.0%
(*.f64 d b)
accuracy98.5%
(*.f64 (/.f64 (*.f64 d b) c) (/.f64 #s(literal 1 binary64) c))
accuracy91.5%
(/.f64 (*.f64 d b) c)
accuracy100.0%
(/.f64 c d)
accuracy100.0%
(/.f64 b c)
accuracy95.1%
(/.f64 (/.f64 b c) (/.f64 c d))
accuracy100.0%
(/.f64 #s(literal 1 binary64) c)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
accuracy100.0%
(+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d))))
accuracy99.9%
(/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)
accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 c d))
accuracy93.6%
(/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))
Results
107.0ms256×0valid
Compiler

Compiled 126 to 22 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 18.0ms (53.1% of total)
ival-mult: 13.0ms (38.3% of total)
ival-add: 3.0ms (8.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts
15 → 444
Calls
Call 1
Inputs
#<alt (/ 1 (/ c d))>
#<alt (/ (+ b (/ a (/ 1 (/ c d)))) d)>
#<alt (+ b (/ a (/ 1 (/ c d))))>
#<alt (/ a (/ 1 (/ c d)))>
#<alt (* (/ 1 c) a)>
#<alt (/ 1 c)>
#<alt (/ (/ b c) (/ c d))>
#<alt (/ b c)>
#<alt (/ c d)>
#<alt (* (/ (* d b) c) (/ 1 c))>
#<alt (/ (* d b) c)>
#<alt (* d b)>
#<alt (/ (* d b) (+ (* c c) (* d d)))>
#<alt (+ (* c c) (* d d))>
#<alt (* c c)>
Outputs
#<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 (/ 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) 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 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 (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ (* a c) d)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ (* b d) (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 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 (/ 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) (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) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (/ (* b d) c)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (* b d)>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))))>
#<alt (/ b d)>
#<alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)>
#<alt (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)>
#<alt (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)>
#<alt (/ b d)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))>
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))>
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (/ b d)>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))>
#<alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))>
#<alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))>
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))>
#<alt (/ (* b d) (pow c 2))>
#<alt (/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))>
#<alt (/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))>
#<alt (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 (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)>
Calls

111 calls:

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

rewrite280.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
4758×*-lowering-*.f32
4758×*-lowering-*.f64
3810×/-lowering-/.f32
3810×/-lowering-/.f64
1106×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02178
113169
2101969
0855469
Stop Event
iter limit
node limit
Counts
15 → 765
Calls
Call 1
Inputs
(/ 1 (/ c d))
(/ (+ b (/ a (/ 1 (/ c d)))) d)
(+ b (/ a (/ 1 (/ c d))))
(/ a (/ 1 (/ c d)))
(* (/ 1 c) a)
(/ 1 c)
(/ (/ b c) (/ c d))
(/ b c)
(/ c d)
(* (/ (* d b) c) (/ 1 c))
(/ (* d b) c)
(* d b)
(/ (* d b) (+ (* c c) (* d d)))
(+ (* c c) (* d d))
(* c c)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 c d)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 d c)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) c)) (-.f64 #s(literal 0 binary64) (/.f64 d c)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 d c)))
(/.f64 #s(literal 1 binary64) (/.f64 c d))
(/.f64 d c)
(/.f64 (/.f64 d c) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) d))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 c d)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 d c)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) d) (-.f64 #s(literal 0 binary64) c))
(/.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) d))
(/.f64 (*.f64 d #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) c))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) d) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) c))
(pow.f64 (/.f64 c d) #s(literal -1 binary64))
(pow.f64 (/.f64 d c) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 c (/.f64 d c)) d) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 c d))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 d c))
(*.f64 d (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 d c) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) c) d)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 d c)))
(*.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 #s(literal -1 binary64) c) (-.f64 #s(literal 0 binary64) d))
(*.f64 (/.f64 #s(literal -1 binary64) c) (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) c) (*.f64 (-.f64 #s(literal 0 binary64) d) #s(literal 1 binary64)))
(*.f64 (pow.f64 c #s(literal -1/2 binary64)) (*.f64 (pow.f64 c #s(literal -1/2 binary64)) d))
(*.f64 (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 c #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) d)))
(*.f64 (*.f64 d #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c d) #s(literal -1/2 binary64))) (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)))
(*.f64 (*.f64 d (pow.f64 c #s(literal -1/2 binary64))) (pow.f64 c #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) d)
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) b) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a)) (*.f64 (/.f64 #s(literal 1 binary64) d) b))
(+.f64 (*.f64 b (/.f64 #s(literal 1 binary64) d)) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d)))
(+.f64 (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d)) (*.f64 b (/.f64 #s(literal 1 binary64) d)))
(exp.f64 (*.f64 (log.f64 (/.f64 d (+.f64 b (*.f64 (/.f64 c d) a)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (*.f64 (/.f64 c d) a))) d))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (*.f64 (/.f64 c d) a))) d) (/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 (/.f64 c d) a)) (/.f64 d c)) (-.f64 b (*.f64 (/.f64 c d) a))) d))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) d)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (*.f64 (/.f64 c d) a))) d))
(-.f64 (/.f64 (*.f64 b b) (*.f64 d (-.f64 b (*.f64 (/.f64 c d) a)))) (/.f64 (/.f64 (*.f64 a (*.f64 (/.f64 c d) a)) (/.f64 d c)) (*.f64 d (-.f64 b (*.f64 (/.f64 c d) a)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (*.f64 (/.f64 c d) a))) d))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (*.f64 (/.f64 c d) a))) d)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d (+.f64 b (*.f64 (/.f64 c d) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 d (+.f64 b (*.f64 (/.f64 c d) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 b b) (/.f64 (-.f64 (*.f64 (/.f64 c d) a) b) (/.f64 (/.f64 d c) a))) d) (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (*.f64 a (*.f64 (/.f64 c d) a)) (/.f64 d c)) (/.f64 (/.f64 d c) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 b (*.f64 (/.f64 c d) a)) d) (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 (/.f64 c d) a)) (/.f64 d c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (/.f64 (-.f64 (*.f64 (/.f64 c d) a) b) (/.f64 (/.f64 d c) a))) (/.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (*.f64 a (*.f64 (/.f64 c d) a)) (/.f64 d c)) (/.f64 (/.f64 d c) a))) d)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 (/.f64 c d) a)) (/.f64 d c))) d)))
(/.f64 (+.f64 b (*.f64 (/.f64 c d) a)) d)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 d (+.f64 b (*.f64 (/.f64 c d) a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (*.f64 (/.f64 c d) a))) (-.f64 #s(literal 0 binary64) d))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (*.f64 a (*.f64 (/.f64 c d) a)) (/.f64 d c)) (/.f64 (/.f64 d c) a))) (*.f64 (+.f64 (*.f64 b b) (/.f64 (-.f64 (*.f64 (/.f64 c d) a) b) (/.f64 (/.f64 d c) a))) d))
(/.f64 (+.f64 (*.f64 b (*.f64 b b)) (/.f64 (/.f64 (*.f64 a (*.f64 (/.f64 c d) a)) (/.f64 d c)) (/.f64 (/.f64 d c) a))) (*.f64 d (+.f64 (*.f64 b b) (/.f64 (-.f64 (*.f64 (/.f64 c d) a) b) (/.f64 (/.f64 d c) a)))))
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 (/.f64 c d) a))))
(/.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 (/.f64 c d) a)) (/.f64 d c))) (*.f64 (-.f64 b (*.f64 (/.f64 c d) a)) d))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 d (*.f64 d (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 d (*.f64 d (*.f64 (*.f64 d d) (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (-.f64 (*.f64 d d) (*.f64 c c))))))) (-.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d (*.f64 d (*.f64 (*.f64 d d) (*.f64 d d))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 d (*.f64 d (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 d (*.f64 d (*.f64 (*.f64 d d) (*.f64 d d)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) (-.f64 c d))) (+.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (+.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))))))
(/.f64 (*.f64 (-.f64 (*.f64 c (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 (*.f64 d d) (*.f64 d d)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) (-.f64 c d))) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d d))))
(/.f64 (/.f64 (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d d))) (+.f64 c d)) (-.f64 c d))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) (-.f64 c d))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d))))
(*.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d (*.f64 d (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (-.f64 (*.f64 d d) (*.f64 c c)))))))
(*.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d (*.f64 d (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (-.f64 (*.f64 c c) (*.f64 d d))))))
(*.f64 (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (-.f64 (*.f64 d d) (*.f64 c c))))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (-.f64 (*.f64 d d) (*.f64 c c))))))))
(*.f64 (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) (-.f64 c d)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d (*.f64 d (*.f64 (*.f64 d d) (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (-.f64 (*.f64 d d) (*.f64 c c))))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 c c) (*.f64 d d)))))
(*.f64 (-.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 d d) (*.f64 c c))))
(*.f64 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 c d)) (+.f64 c d))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 c)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)))
(/.f64 c (/.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 c c) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) #s(literal -1 binary64))
(pow.f64 c #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) c) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 c c))
(*.f64 c c)
(*.f64 (*.f64 c c) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 c c)))
(*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) c))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))

simplify271.0ms (3%)

Algorithm
egg-herbie
Rules
5386×*-lowering-*.f32
5386×*-lowering-*.f64
1692×/-lowering-/.f32
1692×/-lowering-/.f64
1218×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01912944
16092615
219902581
379032581
080242581
Stop Event
iter limit
node limit
Counts
444 → 444
Calls
Call 1
Inputs
(/ 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))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(* a (+ (/ b (* a d)) (/ c (pow d 2))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (/ b d) (/ (* a c) (pow d 2)))
(/ (* a c) (pow d 2))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(* c (+ (/ a (pow d 2)) (/ b (* c d))))
(/ (* a c) (pow d 2))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
(/ (* a c) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ (+ (* a c) (* b d)) (pow d 2))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (/ (* a c) d)) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(/ (* a c) 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)))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(* a (+ (/ b a) (/ c d)))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(* c (+ (/ a d) (/ b c)))
(/ (* a c) d)
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))
(/ (* a c) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
(/ (+ (* a c) (* b d)) d)
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
b
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(+ b (/ (* a c) d))
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ (* a c) d)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ a c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ (* b d) (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))
(/ 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)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ c d)
(/ (* b d) (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))
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(/ (* b d) c)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(* b d)
(/ (* b d) (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) (+ (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)
(+ (* -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))
(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 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)
Outputs
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
(/.f64 d c)
(/ d c)
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(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(/ (* b d) c)
(/.f64 (*.f64 d b) c)
(* 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)
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))))
(/.f64 (*.f64 b (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)))) (*.f64 c c))
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))))
(*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (/.f64 (*.f64 d (*.f64 d b)) (pow.f64 c #s(literal 6 binary64))) (/.f64 b (*.f64 c (*.f64 c (*.f64 c c))))))))
(* 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))))
(*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 (*.f64 d d) (-.f64 (/.f64 b (pow.f64 c #s(literal 6 binary64))) (/.f64 (*.f64 d (*.f64 d b)) (pow.f64 c #s(literal 8 binary64))))) (/.f64 b (*.f64 c (*.f64 c (*.f64 c c))))))))
(/ b d)
(/.f64 b d)
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d)))) d)
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 c c) (*.f64 d d))))) d)
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)
(/.f64 (-.f64 b (*.f64 b (-.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (pow.f64 d #s(literal 4 binary64)))))) d)
(/ b d)
(/.f64 b d)
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d))
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d)))) d)
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d))
(/.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 c c) (*.f64 d d))))) d)
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d))
(/.f64 (-.f64 b (*.f64 b (-.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (pow.f64 d #s(literal 4 binary64)))))) d)
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 d d) (*.f64 c c)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 d d) (*.f64 c c)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 d d) (*.f64 c c)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 d d) (*.f64 c c)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 d d) (*.f64 c c)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 d d) (*.f64 c c)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 d d) (*.f64 c c)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 d d) (*.f64 c c)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 d d) (*.f64 c c)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 d d) (*.f64 c c)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 d d) (*.f64 c c)))
(/ (* b d) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 d d) (*.f64 c c)))
(/ b d)
(/.f64 b d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d)))) d)
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d))
(+.f64 (/.f64 b d) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 c (*.f64 c b)) (pow.f64 d #s(literal 5 binary64))) (/.f64 b (*.f64 d (*.f64 d 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))
(+.f64 (/.f64 b d) (*.f64 (*.f64 c c) (-.f64 (*.f64 (*.f64 c c) (-.f64 (/.f64 b (pow.f64 d #s(literal 5 binary64))) (/.f64 (*.f64 c (*.f64 c b)) (pow.f64 d #s(literal 7 binary64))))) (/.f64 b (*.f64 d (*.f64 d d))))))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/.f64 (*.f64 b (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)))) (*.f64 c c))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/.f64 (*.f64 b (-.f64 (+.f64 d (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 c (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)))) (*.f64 c c))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/.f64 (+.f64 (*.f64 b (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))))) (*.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))))) (*.f64 c c))
(/ (* b d) (pow c 2))
(*.f64 d (/.f64 b (*.f64 c c)))
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2))
(/.f64 (*.f64 b (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)))) (*.f64 c c))
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2))
(/.f64 (*.f64 b (-.f64 (+.f64 d (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 c (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)))) (*.f64 c c))
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2))
(/.f64 (+.f64 (*.f64 b (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))))) (*.f64 b (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))))) (*.f64 c c))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(+.f64 (*.f64 d d) (*.f64 c c))
(+ (pow c 2) (pow d 2))
(+.f64 (*.f64 d d) (*.f64 c c))
(+ (pow c 2) (pow d 2))
(+.f64 (*.f64 d d) (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c))))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c))))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(+.f64 (*.f64 d d) (*.f64 c c))
(+ (pow c 2) (pow d 2))
(+.f64 (*.f64 d d) (*.f64 c c))
(+ (pow c 2) (pow d 2))
(+.f64 (*.f64 d d) (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (*.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))))
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)

eval155.0ms (1.7%)

Compiler

Compiled 20208 to 1981 computations (90.2% saved)

prune133.0ms (1.5%)

Pruning

25 alts after pruning (15 fresh and 10 done)

PrunedKeptTotal
New133551340
Fresh31013
Picked145
Done066
Total1339251364
Accuracy
99.9%
Counts
1364 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.5%
(/.f64 (/.f64 (*.f64 d b) c) c)
26.4%
(/.f64 (/.f64 (*.f64 c a) d) d)
20.4%
(/.f64 (/.f64 b c) (/.f64 c d))
43.7%
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) a))
37.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
57.6%
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
57.6%
(/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)
57.6%
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
51.0%
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
43.4%
(/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d)))
32.7%
(/.f64 (*.f64 d b) (*.f64 (*.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d)))))
46.5%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
20.8%
(/.f64 (*.f64 b d) (*.f64 c c))
21.2%
(/.f64 d (/.f64 c (/.f64 b c)))
45.1%
(/.f64 b d)
43.9%
(/.f64 a c)
46.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 d d) (*.f64 c c)) (*.f64 a c)))
37.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (+.f64 (*.f64 a c) (*.f64 b d))))
44.7%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
43.8%
(/.f64 #s(literal 1 binary64) (/.f64 c a))
20.0%
(*.f64 (/.f64 (/.f64 d c) c) b)
26.3%
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d))
57.4%
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 (*.f64 c (/.f64 a d)) b))
45.0%
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
43.8%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
Compiler

Compiled 859 to 341 computations (60.3% saved)

regimes73.0ms (0.8%)

Counts
46 → 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 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 (/.f64 d c) c) b)
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 b c) (/.f64 c d))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (/.f64 (*.f64 d b) c) c)
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d))
(*.f64 (/.f64 (*.f64 d b) c) (/.f64 #s(literal 1 binary64) c))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 b (/.f64 (*.f64 c a) d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 (*.f64 c (/.f64 a d)) b))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (/.f64 a (*.f64 d c))))
(*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) c) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (+.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 d d) (*.f64 c c)) (*.f64 a c)))
(/.f64 (*.f64 d (+.f64 b (*.f64 a (/.f64 c d)))) (*.f64 d d))
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (+.f64 b (/.f64 (*.f64 c a) d))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 d b) (*.f64 (*.f64 d d) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d)))))
(/.f64 (*.f64 d (+.f64 b (*.f64 a (/.f64 c d)))) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c)))))
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (*.f64 b (+.f64 (*.f64 c c) (*.f64 d d))))))
(*.f64 (/.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 a c))) (*.f64 b (*.f64 d (*.f64 b d)))) c) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) c))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 d b) (*.f64 c (-.f64 (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) (/.f64 (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))) d))) (/.f64 a (*.f64 b b))))))
(*.f64 (pow.f64 (/.f64 c (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) c)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) c)) #s(literal -1/2 binary64)))
Outputs
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)
Calls

5 calls:

16.0ms
b
13.0ms
c
13.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
13.0ms
a
12.0ms
d
Results
AccuracySegmentsBranch
71.3%2a
73.0%3b
86.2%5c
87.5%5d
79.6%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)

regimes13.0ms (0.1%)

Counts
36 → 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 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 (/.f64 d c) c) b)
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 b c) (/.f64 c d))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (/.f64 (*.f64 d b) c) c)
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d))
(*.f64 (/.f64 (*.f64 d b) c) (/.f64 #s(literal 1 binary64) c))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 b (/.f64 (*.f64 c a) d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 (*.f64 c (/.f64 a d)) b))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (/.f64 a (*.f64 d c))))
(*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) c) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (+.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 d d) (*.f64 c c)) (*.f64 a c)))
(/.f64 (*.f64 d (+.f64 b (*.f64 a (/.f64 c d)))) (*.f64 d d))
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (+.f64 b (/.f64 (*.f64 c a) d))))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)
Calls

1 calls:

10.0ms
d
Results
AccuracySegmentsBranch
87.5%5d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes23.0ms (0.3%)

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 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 (/.f64 d c) c) b)
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 b c) (/.f64 c d))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (/.f64 (*.f64 d b) c) c)
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d))
(*.f64 (/.f64 (*.f64 d b) c) (/.f64 #s(literal 1 binary64) c))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 b (/.f64 (*.f64 c a) d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 (*.f64 c (/.f64 a d)) b))
(/.f64 (*.f64 b d) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(*.f64 d (+.f64 (/.f64 b (*.f64 c c)) (/.f64 a (*.f64 d c))))
(*.f64 (/.f64 (+.f64 (*.f64 c a) (*.f64 d b)) c) (/.f64 #s(literal 1 binary64) c))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (+.f64 (*.f64 a c) (*.f64 b d))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 d d) (*.f64 c c)) (*.f64 a c)))
(/.f64 (*.f64 d (+.f64 b (*.f64 a (/.f64 c d)))) (*.f64 d d))
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (+.f64 b (/.f64 (*.f64 c a) d))))
Outputs
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 (*.f64 c (/.f64 a d)) b))
Calls

2 calls:

11.0ms
d
10.0ms
c
Results
AccuracySegmentsBranch
79.2%3c
82.0%3d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.1%)

Counts
22 → 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 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 (/.f64 d c) c) b)
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 b c) (/.f64 c d))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (/.f64 (*.f64 d b) c) c)
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d))
(*.f64 (/.f64 (*.f64 d b) c) (/.f64 #s(literal 1 binary64) c))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 b (/.f64 (*.f64 c a) d)))
Outputs
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
81.7%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.1%)

Counts
19 → 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 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 (/.f64 d c) c) b)
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 b c) (/.f64 c d))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (/.f64 (*.f64 d b) c) c)
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d))
(*.f64 (/.f64 (*.f64 d b) c) (/.f64 #s(literal 1 binary64) c))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
Outputs
(/.f64 b d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 b d)
Calls

2 calls:

6.0ms
c
6.0ms
d
Results
AccuracySegmentsBranch
71.0%3c
75.7%3d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes26.0ms (0.3%)

Counts
17 → 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 #s(literal 1 binary64) (/.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 d b))
(*.f64 (/.f64 (/.f64 d c) c) b)
(/.f64 d (/.f64 c (/.f64 b c)))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) a))
(/.f64 (/.f64 b c) (/.f64 c d))
(/.f64 (/.f64 (*.f64 a c) d) d)
(/.f64 (/.f64 (*.f64 b d) c) c)
(/.f64 (/.f64 (*.f64 c a) d) d)
(/.f64 (/.f64 (*.f64 d b) c) c)
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (*.f64 a c) d))
(*.f64 (/.f64 (*.f64 d b) c) (/.f64 #s(literal 1 binary64) c))
Outputs
(/.f64 a c)
(/.f64 b d)
(/.f64 a c)
Calls

4 calls:

10.0ms
d
5.0ms
b
5.0ms
c
5.0ms
a
Results
AccuracySegmentsBranch
68.1%3c
60.5%3a
53.8%4b
68.1%3d
Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0.1%)

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

4 calls:

5.0ms
c
1.0ms
d
1.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
43.9%1b
43.9%1a
43.9%1d
43.9%1c
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch69.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
1.6346895141662023e+134
5.278576321779922e+149
17.0ms
3.690031489390285e-127
5.00405099219756e-120
12.0ms
-7.393602516515325e-117
-1.9619917058195476e-117
15.0ms
-2.130692021076127e+107
-8.591361396023442e+102
Results
45.0ms512×0valid
Compiler

Compiled 1172 to 747 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 15.0ms (64.2% of total)
ival-add: 5.0ms (21.4% of total)
ival-div: 3.0ms (12.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch124.0ms (1.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
1.6346895141662023e+134
5.278576321779922e+149
18.0ms
3.690031489390285e-127
5.00405099219756e-120
9.0ms
-7.393602516515325e-117
-1.9619917058195476e-117
72.0ms
-2.130692021076127e+107
-8.591361396023442e+102
Results
102.0ms512×0valid
Compiler

Compiled 1134 to 709 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 15.0ms (62.9% of total)
ival-add: 5.0ms (21% of total)
ival-div: 3.0ms (12.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
3.200768374418346e-9
0.000246287303266136
15.0ms
-7.1165319164147976e-34
-1.8376639558788717e-37
Results
23.0ms272×0valid
Compiler

Compiled 520 to 341 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (65.2% of total)
ival-div: 2.0ms (16.3% of total)
ival-add: 2.0ms (16.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
3.200768374418346e-9
0.000246287303266136
18.0ms
-7.1165319164147976e-34
-1.8376639558788717e-37
Results
23.0ms272×0valid
Compiler

Compiled 502 to 323 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (65.6% of total)
ival-div: 2.0ms (16.4% of total)
ival-add: 2.0ms (16.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
3.200768374418346e-9
0.000246287303266136
11.0ms
-5.909773161169925e-38
-1.0992641824261607e-38
Results
25.0ms240×0valid
Compiler

Compiled 356 to 242 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 7.0ms (46.2% of total)
ival-mult: 7.0ms (46.2% of total)
ival-div: 2.0ms (13.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.0930541583976273e-80
1.2295885354654064e-76
13.0ms
-5.362674129409224e-13
-8.25248113735898e-15
Results
20.0ms240×0valid
Compiler

Compiled 266 to 197 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.5% of total)
ival-div: 2.0ms (18.7% of total)
ival-add: 2.0ms (18.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify63.0ms (0.7%)

Algorithm
egg-herbie
Rules
12×+-commutative_binary64
10×*-commutative_binary64
if-if-or-not_binary32
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078255
1101255
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 d #s(literal -620000000000000033016405683381839714398356060300952813343931830081869097196167549858174218769207834705920 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal -248431204593225/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 3143850773938835/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (if (<=.f64 d #s(literal 260000000000000015898218399740970261055992907462082882672863000390561233361064044982286064811206531992316128092316652842772647687225344 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))) (/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)))))
(if (<=.f64 d #s(literal -400000000000000000766270034293867494486382050906076804461121405839751729681595502384494458043272129413120 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal -248431204593225/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 7430920011128155/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (if (<=.f64 d #s(literal 14499999999999998720272738994373587179286645250166295040728605556879842875184063487747636105150035135758427588878949939476246172727771136 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)))))
(if (<=.f64 d #s(literal -1461501637330903/11692013098647223345629478661730264157247460343808 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal 4486248158726163/295147905179352825856 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 (*.f64 c (/.f64 a d)) b))))
(if (<=.f64 d #s(literal -636045512566409/93536104789177786765035829293842113257979682750464 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal 731966804844795/1180591620717411303424 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)))
(if (<=.f64 d #s(literal -5555296335638847/95780971304118053647396689196894323976171195136475136 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 3687223749824619/302231454903657293676544 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (/.f64 b d)))
(if (<=.f64 c #s(literal -4436777100798803/79228162514264337593543950336 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 7822218149124427/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)
Outputs
(if (<=.f64 d #s(literal -620000000000000033016405683381839714398356060300952813343931830081869097196167549858174218769207834705920 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal -248431204593225/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 3143850773938835/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (if (<=.f64 d #s(literal 260000000000000015898218399740970261055992907462082882672863000390561233361064044982286064811206531992316128092316652842772647687225344 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))) (/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)))))
(if (<=.f64 d #s(literal -620000000000000033016405683381839714398356060300952813343931830081869097196167549858174218769207834705920 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal -248431204593225/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 3143850773938835/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c) (if (<=.f64 d #s(literal 260000000000000015898218399740970261055992907462082882672863000390561233361064044982286064811206531992316128092316652842772647687225344 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 d b)))) (/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)))))
(if (<=.f64 d #s(literal -400000000000000000766270034293867494486382050906076804461121405839751729681595502384494458043272129413120 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal -248431204593225/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 7430920011128155/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (if (<=.f64 d #s(literal 14499999999999998720272738994373587179286645250166295040728605556879842875184063487747636105150035135758427588878949939476246172727771136 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)))))
(if (<=.f64 d #s(literal -400000000000000000766270034293867494486382050906076804461121405839751729681595502384494458043272129413120 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal -248431204593225/44362715105933037753254626946289339254982993206013065202727673289833940924890009968639590497666233249558259375382457149263586525184 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 7430920011128155/190536410541747572716161940294993060653600960856016305594430966774009505543198585212421026798308836130360530463953040948208494609331560382464 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c) (if (<=.f64 d #s(literal 14499999999999998720272738994373587179286645250166295040728605556879842875184063487747636105150035135758427588878949939476246172727771136 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (+.f64 b (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 c d)))) d)))))
(if (<=.f64 d #s(literal -1461501637330903/11692013098647223345629478661730264157247460343808 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal 4486248158726163/295147905179352825856 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 (*.f64 c (/.f64 a d)) b))))
(if (<=.f64 d #s(literal -1461501637330903/11692013098647223345629478661730264157247460343808 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal 4486248158726163/295147905179352825856 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c) (*.f64 (/.f64 #s(literal 1 binary64) d) (+.f64 b (*.f64 c (/.f64 a d))))))
(if (<=.f64 d #s(literal -636045512566409/93536104789177786765035829293842113257979682750464 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal 731966804844795/1180591620717411303424 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)))
(if (<=.f64 d #s(literal -636045512566409/93536104789177786765035829293842113257979682750464 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (if (<=.f64 d #s(literal 731966804844795/1180591620717411303424 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)))
(if (<=.f64 d #s(literal -5555296335638847/95780971304118053647396689196894323976171195136475136 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 3687223749824619/302231454903657293676544 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (/.f64 b d)))
(if (<=.f64 d #s(literal -5555296335638847/95780971304118053647396689196894323976171195136475136 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 3687223749824619/302231454903657293676544 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c) (/.f64 b d)))
(if (<=.f64 c #s(literal -4436777100798803/79228162514264337593543950336 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 7822218149124427/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

soundness1.3s (14.2%)

Rules
4378×/-lowering-/.f32
4378×/-lowering-/.f64
4248×*-lowering-*.f32
4248×*-lowering-*.f64
4036×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02391
115086
2139686
0836486
01129
15529
249029
3649129
0810929
01861554
16491322
221201282
372831282
087711282
021104
113199
2108699
0828799
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 562 to 263 computations (53.2% saved)

preprocess62.0ms (0.7%)

Compiler

Compiled 660 to 218 computations (67% saved)

end0.0ms (0%)

Profiling

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