Complex division, real part

Time bar (total: 8.6s)

analyze36.0ms (0.4%)

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

Compiled 20 to 12 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 12.0ms (72.7% of total)
ival-add: 3.0ms (18.2% of total)
ival-div: 1.0ms (6.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.0s (11.7%)

Results
732.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 432.0ms
ival-mult: 276.0ms (63.9% of total)
ival-add: 77.0ms (17.8% of total)
ival-div: 70.0ms (16.2% of total)
const: 7.0ms (1.6% of total)
backward-pass: 3.0ms (0.7% of total)
Bogosity

preprocess69.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
2058×fmm-def
1696×fnmadd-define
1668×fmsub-define
1644×fnmsub-define
1110×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062203
1152195
2269195
3551195
41559195
55126195
67968195
01113
11713
22113
02113
Stop Event
1×iter limit
1×saturated
1×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 (* d d)))
(/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d)))
(/ (fmsub b d (* a c)) (fma c c (* d d)))
(/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d)))
(/ (fmsub b d (* a c)) (fnmsub c c (* d d)))
(/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d)))
(/ (fmsub b d (* a c)) (fma c c (* d d)))
(/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d))))
(/ (fmsub b d (* a c)) (fnmsub c c (* d d)))
(neg (/ (+ (* (neg a) c) (* b d)) (+ (* c c) (* d d))))
(/ (fmsub b d (* a c)) (fnmsub c c (* d d)))
(neg (/ (+ (* a c) (* (neg b) d)) (+ (* c c) (* d d))))
(/ (fmsub b d (* a c)) (fma c c (* d d)))
(neg (/ (+ (* a (neg c)) (* b d)) (+ (* (neg c) (neg c)) (* d d))))
(/ (fmsub b d (* a c)) (fnmsub c c (* d d)))
(neg (/ (+ (* a c) (* b (neg d))) (+ (* c c) (* (neg d) (neg d)))))
(/ (fmsub b d (* a c)) (fma c c (* d d)))
(/ (+ (* b c) (* a d)) (+ (* c c) (* d d)))
(/ (fma a d (* c b)) (fma c c (* d d)))
(/ (+ (* c a) (* b d)) (+ (* a a) (* d d)))
(/ (fnmsub a c (* b d)) (fnmsub a a (* d d)))
(/ (+ (* d c) (* b a)) (+ (* c c) (* a a)))
(/ (fma c d (* a b)) (fma a a (* c c)))
(/ (+ (* a b) (* c d)) (+ (* b b) (* d d)))
(/ (fma c d (* a b)) (fma b b (* d d)))
(/ (+ (* a c) (* d b)) (+ (* c c) (* b b)))
(/ (fma a c (* b d)) (fma b b (* c c)))
(/ (+ (* a d) (* b c)) (+ (* d d) (* c c)))
(/ (fma a d (* c b)) (fma c c (* d d)))

explain101.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1061(-1.8021366223313223e+134 -6.805734197709156e-37 -285316423.3846495 3.7975030891072522e+286)6(1.4859359129150442e-82 3.331876015850654e+59 -1.0909883512756549e-160 -1.54343701310813e-216)(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
10-0-(+.f64 (*.f64 a c) (*.f64 b d))
00-0-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
64.0ms512×0valid
Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 16.0ms (62.7% of total)
ival-add: 5.0ms (19.6% of total)
ival-div: 3.0ms (11.7% of total)
const: 0.0ms (0% 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
▶61.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify4.0ms (0.1%)

Algorithm
1×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
01141
11741
22141
02141
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(+ (* a c) (* b d))
(* a c)
a
c
(* b d)
b
d
(+ (* c c) (* d d))
(* c c)
(* d d)
Outputs
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))
(/.f64 (+.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)

localize42.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 a c)
✓accuracy100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
✓accuracy99.7%
(+.f64 (*.f64 a c) (*.f64 b d))
✓accuracy61.8%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
29.0ms256×0valid
Compiler

Compiled 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (63.2% of total)
ival-add: 3.0ms (23.7% of total)
ival-div: 2.0ms (15.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (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
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)))
1.0ms
b
@0
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite322.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
4386×*-lowering-*.f32
4386×*-lowering-*.f64
2458×/-lowering-/.f32
2458×/-lowering-/.f64
1470×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
15331
248431
3646431
0837031
Stop Event
1×iter limit
1×node limit
Counts
5 → 300
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 c (*.f64 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 c (*.f64 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 (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 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 a c) (*.f64 b d)) (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 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 a c) (*.f64 b d)) (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 c (*.f64 c (*.f64 c c)))))
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) #s(literal 1 binary64)) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))
(/.f64 (*.f64 (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d)))) #s(literal 1 binary64)) (-.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (-.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))))) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (+.f64 (*.f64 c (*.f64 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 (*.f64 c c)) (*.f64 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 c (*.f64 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 (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) (+.f64 (*.f64 c (*.f64 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 (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 c c)) (-.f64 (*.f64 c c) (*.f64 d d)))) (-.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 c c)) (-.f64 (*.f64 c c) (*.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 c (*.f64 c (*.f64 c c))))) (neg.f64 (-.f64 (*.f64 d d) (*.f64 c c))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c (*.f64 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 c (*.f64 c (*.f64 c c))) (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 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 c (*.f64 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 c (*.f64 c (*.f64 c c))) (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 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 c (*.f64 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 (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (-.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))) (-.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) (-.f64 c d))) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 d (*.f64 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 d (*.f64 d (*.f64 d d)))))
(/.f64 (/.f64 (-.f64 (*.f64 c (*.f64 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 c (*.f64 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 (/.f64 #s(literal 1 binary64) (+.f64 c d)) (-.f64 c d))))
(*.f64 (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))))
(*.f64 (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 c (*.f64 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 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))))
(*.f64 (+.f64 (*.f64 c (*.f64 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 c (*.f64 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 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) (-.f64 c d)))
(*.f64 (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) (-.f64 c 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 (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))))
(*.f64 (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (*.f64 c c)) (-.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 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c))))) (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) (-.f64 c d)) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d)))))
(*.f64 (-.f64 (*.f64 d (*.f64 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))
(*.f64 (/.f64 (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d)))) (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d))))) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d d) (-.f64 (*.f64 d 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 c c) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 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 c (*.f64 c (*.f64 c c)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (-.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 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 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))
(*.f64 (/.f64 (-.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d (*.f64 d d)))) (-.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (+.f64 (*.f64 c c) (*.f64 d d)))))

simplify246.0ms (2.8%)

Algorithm
1×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
16491434
221181394
372701394
087521394
Stop Event
1×iter limit
1×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) 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) 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) 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)))
(* -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) 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) 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) a) (+.f64 (*.f64 c c) (*.f64 d d)))))
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.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)) (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 c a) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 b d) (*.f64 d d))) c)))))
(/ 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 d (*.f64 d a)) c)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (+.f64 (*.f64 d (*.f64 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 d (*.f64 d a)) c)) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (+.f64 (*.f64 d (*.f64 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 (*.f64 c a) 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 (*.f64 c a) 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 (*.f64 c a) 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 (*.f64 c a) 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 (*.f64 c a) 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 (*.f64 c a) 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 b d) (*.f64 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 d (*.f64 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)) (*.f64 d (-.f64 (/.f64 (*.f64 b d) (-.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 4 binary64)))) (/.f64 a (*.f64 c (*.f64 c c))))))))
(/ b d)
(/.f64 b d)
(/ (+ b (/ (* a c) d)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (+.f64 b (/.f64 (-.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 (*.f64 c a) d)) d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.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 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 (*.f64 c a) d)))
(* d (+ b (/ (* a c) d)))
(*.f64 d (+.f64 b (/.f64 (*.f64 c a) d)))
(* d (+ b (/ (* a c) d)))
(*.f64 d (+.f64 b (/.f64 (*.f64 c a) d)))
(* b d)
(*.f64 b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (+.f64 b (/.f64 (*.f64 c a) d)))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (+.f64 b (/.f64 (*.f64 c a) d)))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (+.f64 b (/.f64 (*.f64 c a) 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 (*.f64 c c) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c)))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 c c) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c)))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 c 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 (*.f64 c c) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c)))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 c c) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c)))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 c 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)))))

eval73.0ms (0.8%)

Compiler

Compiled 17085 to 951 computations (94.4% saved)

prune94.0ms (1.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New45513468
Fresh000
Picked011
Done000
Total45514469
Accuracy
97.5%
Counts
469 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓61.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
51.8%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d (*.f64 d (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d))))))
▶34.5%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
▶49.5%
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) d)
▶54.4%
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
51.9%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
35.6%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
57.4%
(/.f64 (*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) (+.f64 (*.f64 c c) (*.f64 d d)))
45.1%
(/.f64 b d)
▶40.2%
(/.f64 a c)
▶61.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))))
52.1%
(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
60.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 a c) (*.f64 b d)))
54.6%
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 c a) b) (+.f64 (*.f64 c c) (*.f64 d d)))))
Compiler

Compiled 465 to 273 computations (41.3% saved)

simplify131.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d))
✓cost-diff128
(/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d)) d)
✓cost-diff128
(+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d)) d))
✓cost-diff128
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) 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 a)
✓cost-diff0
(/.f64 (*.f64 c a) d)
✓cost-diff0
(+.f64 b (/.f64 (*.f64 c a) d))
✓cost-diff0
(/.f64 (+.f64 b (/.f64 (*.f64 c a) 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
2252×*-lowering-*.f32
2252×*-lowering-*.f64
1864×fnmsub-define
1360×fma-define
1132×times-frac
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025192
154190
2107189
3277185
4817179
51847179
64795179
08129179
Stop Event
1×iter limit
1×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 (/ (* c a) d)) d)
(+ b (/ (* c a) d))
b
(/ (* c a) d)
(* c a)
c
a
d
(/ (+ (* a c) (* b d)) (* c c))
(+ (* a c) (* b d))
(* a c)
a
c
(* b d)
b
d
(* c c)
(/ (+ b (/ (- (* c a) (/ (* b (* c c)) d)) d)) d)
(+ b (/ (- (* c a) (/ (* b (* c c)) d)) d))
b
(/ (- (* c a) (/ (* b (* c c)) d)) d)
(- (* c a) (/ (* b (* c c)) d))
(* c a)
c
a
(/ (* b (* c c)) d)
(* b (* c c))
(* c c)
d
Outputs
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
(/.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (+.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 d b) (*.f64 c a)))
(+ (* 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 d b) (*.f64 c a))
(* a c)
(*.f64 c a)
a
(* b d)
(*.f64 d b)
b
(/ a c)
(/.f64 a c)
a
c
(/ (+ b (/ (* c a) d)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
(+ b (/ (* c a) d))
(+.f64 b (/.f64 (*.f64 c a) d))
b
(/ (* c a) d)
(/.f64 (*.f64 c a) d)
(* c a)
(*.f64 c a)
c
a
d
(/ (+ (* a c) (* b d)) (* c c))
(/.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (*.f64 c c))
(+ (* a c) (* b d))
(+.f64 (*.f64 d b) (*.f64 c a))
(* a c)
(*.f64 c a)
a
c
(* b d)
(*.f64 d b)
b
d
(* c c)
(*.f64 c c)
(/ (+ b (/ (- (* c a) (/ (* b (* c c)) d)) d)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) d)
(+ b (/ (- (* c a) (/ (* b (* c c)) d)) d))
(+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d))
b
(/ (- (* c a) (/ (* b (* c c)) d)) d)
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)
(- (* c a) (/ (* b (* c c)) d))
(*.f64 c (-.f64 a (/.f64 (*.f64 c b) d)))
(* c a)
(*.f64 c a)
c
a
(/ (* b (* c c)) d)
(/.f64 (*.f64 c (*.f64 c b)) d)
(* b (* c c))
(*.f64 c (*.f64 c b))
(* c c)
(*.f64 c c)
d

localize112.0ms (1.3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy97.1%
(-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d))
✓accuracy92.6%
(/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d)) d)
✓accuracy91.9%
(/.f64 (*.f64 b (*.f64 c c)) d)
✓accuracy85.2%
(*.f64 b (*.f64 c c))
✓accuracy100.0%
(*.f64 b d)
✓accuracy100.0%
(*.f64 a c)
✓accuracy99.7%
(+.f64 (*.f64 a c) (*.f64 b d))
✓accuracy71.1%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
✓accuracy100.0%
(*.f64 c a)
✓accuracy100.0%
(+.f64 b (/.f64 (*.f64 c a) d))
✓accuracy98.4%
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
✓accuracy91.9%
(/.f64 (*.f64 c a) d)
✓accuracy100.0%
(/.f64 a c)
✓accuracy100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
✓accuracy99.7%
(+.f64 (*.f64 a c) (*.f64 b d))
✓accuracy98.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d))))
✓accuracy62.9%
(/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 a c) (*.f64 b d)))
Results
75.0ms256×0valid
Compiler

Compiled 210 to 26 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 16.0ms (47.9% of total)
ival-mult: 11.0ms (32.9% of total)
ival-add: 5.0ms (15% of total)
ival-sub: 1.0ms (3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series357.0ms (4.1%)

Counts
19 → 708
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 (/ (* c a) d)) d)>
#<alt (+ b (/ (* c a) d))>
#<alt (/ (* c a) d)>
#<alt (* c a)>
#<alt (/ (+ (* a c) (* b d)) (* c c))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* b d)>
#<alt (/ (+ b (/ (- (* c a) (/ (* b (* c c)) d)) d)) d)>
#<alt (+ b (/ (- (* c a) (/ (* b (* c c)) d)) d))>
#<alt (/ (- (* c a) (/ (* b (* c c)) d)) d)>
#<alt (- (* c a) (/ (* b (* c c)) d))>
#<alt (* b (* c c))>
#<alt (/ (* b (* c c)) 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))>
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#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))>
#<alt (+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2))))>
#<alt (* (pow c 2) (- (+ (/ a (* c d)) (/ b (pow c 2))) (/ b (pow d 2))))>
#<alt (* (pow c 2) (- (+ (/ a (* c d)) (/ b (pow c 2))) (/ b (pow d 2))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2))))>
#<alt (* (pow c 2) (- (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)) (/ b (pow d 2))))>
#<alt (* (pow c 2) (- (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)) (/ b (pow d 2))))>
#<alt (- b (/ (* b (pow c 2)) (pow d 2)))>
#<alt (- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))>
#<alt (- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))>
#<alt (- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))>
#<alt (/ (* a c) d)>
#<alt (* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))>
#<alt (* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))>
#<alt (* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (/ (- (* a (* c d)) (* b (pow c 2))) (pow d 2))>
#<alt (/ (- (* d (+ (* a c) (* b d))) (* b (pow c 2))) (pow d 2))>
#<alt (/ (- (* d (+ (* a c) (* b d))) (* b (pow c 2))) (pow d 2))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))>
#<alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))>
#<alt b>
#<alt (+ b (/ (* a c) d))>
#<alt (+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))>
#<alt (+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))>
#<alt (/ (* a c) d)>
#<alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))>
#<alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))>
#<alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (/ (* a c) d)>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))>
#<alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))>
#<alt (/ (* a c) d)>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))>
#<alt (/ (* a c) d)>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))>
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))>
#<alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))>
#<alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))>
#<alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))>
#<alt (* -1 (/ (* b (pow c 2)) (pow d 2)))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))>
#<alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))>
#<alt (/ (* a c) d)>
#<alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)>
#<alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)>
#<alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)>
#<alt (/ (* a c) d)>
#<alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))>
#<alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))>
#<alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))>
#<alt (* a c)>
#<alt (* c (+ a (* -1 (/ (* b c) d))))>
#<alt (* c (+ a (* -1 (/ (* b c) d))))>
#<alt (* c (+ a (* -1 (/ (* b c) d))))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (* (pow c 2) (- (/ a c) (/ b d)))>
#<alt (* (pow c 2) (- (/ a c) (/ b d)))>
#<alt (* (pow c 2) (- (/ a c) (/ b d)))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (* (pow c 2) (- (/ a c) (/ b d)))>
#<alt (* (pow c 2) (- (/ a c) (/ b d)))>
#<alt (* (pow c 2) (- (/ a c) (/ b d)))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (- (* a c) (/ (* b (pow c 2)) d))>
#<alt (- (* a c) (/ (* b (pow c 2)) d))>
#<alt (- (* a c) (/ (* b (pow c 2)) d))>
#<alt (* a c)>
#<alt (* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))>
#<alt (* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))>
#<alt (* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))>
#<alt (* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))>
#<alt (* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))>
#<alt (* a c)>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (* b (- (/ (* a c) b) (/ (pow c 2) d)))>
#<alt (* b (- (/ (* a c) b) (/ (pow c 2) d)))>
#<alt (* b (- (/ (* a c) b) (/ (pow c 2) d)))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))>
#<alt (* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))>
#<alt (* -1 (/ (* b (pow c 2)) d))>
#<alt (/ (- (* a (* c d)) (* b (pow c 2))) d)>
#<alt (/ (- (* a (* c d)) (* b (pow c 2))) d)>
#<alt (/ (- (* a (* c d)) (* b (pow c 2))) d)>
#<alt (* a c)>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (* a c)>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (+ (* -1 (/ (* b (pow c 2)) d)) (* a c))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (* b (pow c 2))>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
#<alt (/ (* b (pow c 2)) d)>
Calls

177 calls:

TimeVariablePointExpression
295.0ms
a
@-inf
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))
10.0ms
d
@0
(/ (+ (* a c) (* b d)) (* c c))
6.0ms
b
@-inf
(/ (- (* c a) (/ (* b (* c c)) d)) d)
3.0ms
a
@0
(/ (+ b (/ (* c a) d)) d)
2.0ms
b
@inf
(* b (* c c))

rewrite377.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
3542×/-lowering-/.f32
3542×/-lowering-/.f64
3168×*-lowering-*.f32
3168×*-lowering-*.f64
1900×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025149
1176146
21602146
08363146
Stop Event
1×iter limit
1×node limit
Counts
19 → 675
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 (/ (* c a) d)) d)
(+ b (/ (* c a) d))
(/ (* c a) d)
(* c a)
(/ (+ (* a c) (* b d)) (* c c))
(+ (* a c) (* b d))
(* a c)
(* b d)
(/ (+ b (/ (- (* c a) (/ (* b (* c c)) d)) d)) d)
(+ b (/ (- (* c a) (/ (* b (* c c)) d)) d))
(/ (- (* c a) (/ (* b (* c c)) d)) d)
(- (* c a) (/ (* b (* c c)) d))
(* b (* c c))
(/ (* b (* c c)) d)
Outputs
(+.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 #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 d b) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))))
(+.f64 (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 d b) (*.f64 c a)))) #s(literal -1 binary64)))
(-.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 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))) (/.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 #s(literal 0 binary64) (+.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 d b) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))))
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))))
(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)))
(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)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 d b) (*.f64 c a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 d b) (*.f64 c a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 d b) (*.f64 c a))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d))))
(/.f64 (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))) (*.f64 c (*.f64 a (*.f64 c a))))))
(/.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 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))) (*.f64 c (*.f64 a (*.f64 c a))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.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 (neg.f64 (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (neg.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))) (*.f64 c (*.f64 a (*.f64 c a)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))) (neg.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c a) (*.f64 d b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 d b) (*.f64 c a)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (+.f64 (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))) (*.f64 c (*.f64 a (*.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 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 d b) (*.f64 c a))) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d b) (*.f64 c a)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))))) (neg.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))) (*.f64 c (*.f64 a (*.f64 c a)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))))) (neg.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.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 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))))) (neg.f64 (+.f64 (*.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a))) (*.f64 c (*.f64 a (*.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)))))) (neg.f64 (-.f64 (*.f64 c a) (*.f64 d b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 d b) (*.f64 c a)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d))))
(pow.f64 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 d b) (*.f64 c a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(literal 1 binary64))
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(*.f64 b (/.f64 (*.f64 c c) d))
(*.f64 (*.f64 c (*.f64 c b)) (/.f64 #s(literal 1 binary64) d))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 c (*.f64 c b))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) d)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (*.f64 c b)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c b))) #s(literal -1 binary64)))
(*.f64 (*.f64 c b) (*.f64 c (/.f64 #s(literal 1 binary64) d)))
(*.f64 (*.f64 c b) (/.f64 c d))
(*.f64 (/.f64 (*.f64 c c) d) b)

simplify378.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
7028×*-lowering-*.f32
7028×*-lowering-*.f64
2964×+-lowering-+.f64
2964×+-lowering-+.f32
1772×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07048168
126087668
083147668
Stop Event
1×iter limit
1×node limit
Counts
708 → 708
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))
(* 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))))))
(/ (* 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)
(* 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)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(/ (* b d) (pow c 2))
(+ (/ 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) (pow d 2))
(+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2)))
(+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2)))
(+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2)))
(/ (* b (- 1 (/ (pow c 2) (pow d 2)))) d)
(* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))))
(* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))))
(* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))))
(/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)
(* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)))))
(/ b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2)))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c))))
(/ (- b (/ (* b (pow c 2)) (pow d 2))) d)
(- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3)))
(- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3)))
(- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3)))
(/ (* a c) (pow d 2))
(* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3)))))
(* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3)))))
(* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3)))))
(/ (* a c) (pow d 2))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a)))))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a)))))
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a)))))
(* -1 (/ (* b (pow c 2)) (pow d 3)))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3))
(/ b d)
(/ (+ b (/ (* a c) d)) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)
(/ b d)
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/ (* a c) d)
(+ (* b (- 1 (/ (pow c 2) (pow d 2)))) (/ (* a c) d))
(+ (* b (- 1 (/ (pow c 2) (pow d 2)))) (/ (* a c) d))
(+ (* b (- 1 (/ (pow c 2) (pow d 2)))) (/ (* a c) d))
(* b (- 1 (/ (pow c 2) (pow d 2))))
(* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))
(* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))
(* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))
(* b (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))))
b
(+ b (/ (* a c) d))
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2))))
(* (pow c 2) (- (+ (/ a (* c d)) (/ b (pow c 2))) (/ b (pow d 2))))
(* (pow c 2) (- (+ (/ a (* c d)) (/ b (pow c 2))) (/ b (pow d 2))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2))))
(* (pow c 2) (- (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)) (/ b (pow d 2))))
(* (pow c 2) (- (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)) (/ b (pow d 2))))
(- b (/ (* b (pow c 2)) (pow d 2)))
(- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))
(- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))
(- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2)))
(/ (* a c) d)
(* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))
(* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))
(* a (- (+ (/ b a) (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/ (- (* a (* c d)) (* b (pow c 2))) (pow d 2))
(/ (- (* d (+ (* a c) (* b d))) (* b (pow c 2))) (pow d 2))
(/ (- (* d (+ (* a c) (* b d))) (* b (pow c 2))) (pow d 2))
b
(+ b (/ (* a c) d))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)))
b
(+ b (/ (* a c) d))
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)))
(/ (* a c) d)
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(/ (* a c) d)
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))
(/ (* a c) d)
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))))
(/ (* a c) d)
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))))
(* -1 (/ (* b (pow c 2)) (pow d 2)))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/ (* a c) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/ (* a c) d)
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(* a c)
(* c (+ a (* -1 (/ (* b c) d))))
(* c (+ a (* -1 (/ (* b c) d))))
(* c (+ a (* -1 (/ (* b c) d))))
(* -1 (/ (* b (pow c 2)) d))
(* (pow c 2) (- (/ a c) (/ b d)))
(* (pow c 2) (- (/ a c) (/ b d)))
(* (pow c 2) (- (/ a c) (/ b d)))
(* -1 (/ (* b (pow c 2)) d))
(* (pow c 2) (- (/ a c) (/ b d)))
(* (pow c 2) (- (/ a c) (/ b d)))
(* (pow c 2) (- (/ a c) (/ b d)))
(* -1 (/ (* b (pow c 2)) d))
(- (* a c) (/ (* b (pow c 2)) d))
(- (* a c) (/ (* b (pow c 2)) d))
(- (* a c) (/ (* b (pow c 2)) d))
(* a c)
(* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))
(* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))
(* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))
(* a c)
(* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))
(* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))
(* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))
(* a c)
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(* -1 (/ (* b (pow c 2)) d))
(* b (- (/ (* a c) b) (/ (pow c 2) d)))
(* b (- (/ (* a c) b) (/ (pow c 2) d)))
(* b (- (/ (* a c) b) (/ (pow c 2) d)))
(* -1 (/ (* b (pow c 2)) d))
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))
(* -1 (/ (* b (pow c 2)) d))
(/ (- (* a (* c d)) (* b (pow c 2))) d)
(/ (- (* a (* c d)) (* b (pow c 2))) d)
(/ (- (* a (* c d)) (* b (pow c 2))) d)
(* a c)
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(* a c)
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(* b (pow c 2))
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
(/ (* b (pow c 2)) d)
Outputs
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 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 a (-.f64 (/.f64 (*.f64 b d) c) (/.f64 (*.f64 d (*.f64 d a)) (*.f64 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 (*.f64 b d) c) (/.f64 (*.f64 d (*.f64 b (*.f64 d d))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 d (*.f64 d a)) (*.f64 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 (*.f64 d (*.f64 d a)) c)) c))) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (+.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d d))) c) (*.f64 d (*.f64 d a))) c)) c))) c)
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+.f64 (/.f64 a c) (*.f64 b (/.f64 d (*.f64 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 (*.f64 a c) d) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))))) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (+.f64 (-.f64 (/.f64 (*.f64 a c) d) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 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 (*.f64 b (*.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 (*.f64 a (*.f64 c (*.f64 c c))) d) (*.f64 b (*.f64 c c))) 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 b d) (*.f64 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))))))
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(/.f64 (-.f64 (*.f64 d (*.f64 a c)) (*.f64 b (*.f64 c c))) (*.f64 d d))
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2))
(/.f64 (-.f64 (*.f64 d (*.f64 a c)) (*.f64 b (*.f64 c c))) (*.f64 d d))
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d)) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d)) d)
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)
(/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d)) d)
(/ (* a c) d)
(/.f64 (*.f64 a c) d)
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c c)) d) (*.f64 a c)) (-.f64 #s(literal 0 binary64) d))
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c c)) d) (*.f64 a c)) (-.f64 #s(literal 0 binary64) d))
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c c)) d) (*.f64 a c)) (-.f64 #s(literal 0 binary64) d))
(* a c)
(*.f64 a c)
(* c (+ a (* -1 (/ (* b c) d))))
(*.f64 c (-.f64 a (*.f64 b (/.f64 c d))))
(* c (+ a (* -1 (/ (* b c) d))))
(*.f64 c (-.f64 a (*.f64 b (/.f64 c d))))
(* c (+ a (* -1 (/ (* b c) d))))
(*.f64 c (-.f64 a (*.f64 b (/.f64 c d))))
(* -1 (/ (* b (pow c 2)) d))
(/.f64 (*.f64 b (*.f64 c c)) (-.f64 #s(literal 0 binary64) d))
(* (pow c 2) (- (/ a c) (/ b d)))
(*.f64 (*.f64 c c) (-.f64 (/.f64 a c) (/.f64 b d)))
(* (pow c 2) (- (/ a c) (/ b d)))
(*.f64 (*.f64 c c) (-.f64 (/.f64 a c) (/.f64 b d)))
(* (pow c 2) (- (/ a c) (/ b d)))
(*.f64 (*.f64 c c) (-.f64 (/.f64 a c) (/.f64 b d)))
(* -1 (/ (* b (pow c 2)) d))
(/.f64 (*.f64 b (*.f64 c c)) (-.f64 #s(literal 0 binary64) d))
(* (pow c 2) (- (/ a c) (/ b d)))
(*.f64 (*.f64 c c) (-.f64 (/.f64 a c) (/.f64 b d)))
(* (pow c 2) (- (/ a c) (/ b d)))
(*.f64 (*.f64 c c) (-.f64 (/.f64 a c) (/.f64 b d)))
(* (pow c 2) (- (/ a c) (/ b d)))
(*.f64 (*.f64 c c) (-.f64 (/.f64 a c) (/.f64 b d)))
(* -1 (/ (* b (pow c 2)) d))
(/.f64 (*.f64 b (*.f64 c c)) (-.f64 #s(literal 0 binary64) d))
(- (* a c) (/ (* b (pow c 2)) d))
(-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d))
(- (* a c) (/ (* b (pow c 2)) d))
(-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d))
(- (* a c) (/ (* b (pow c 2)) d))
(-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d))
(* a c)
(*.f64 a c)
(* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))
(*.f64 a (-.f64 c (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d a))))
(* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))
(*.f64 a (-.f64 c (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d a))))
(* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))
(*.f64 a (-.f64 c (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d a))))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d a)) c))
(* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d a)) c))
(* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))))
(*.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (/.f64 (*.f64 b (*.f64 c c)) (*.f64 d a)) c))
(* a c)
(*.f64 a c)
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d))
(* -1 (/ (* b (pow c 2)) d))
(/.f64 (*.f64 b (*.f64 c c)) (-.f64 #s(literal 0 binary64) d))
(* b (- (/ (* a c) b) (/ (pow c 2) d)))
(*.f64 b (-.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 c c) d)))
(* b (- (/ (* a c) b) (/ (pow c 2) d)))
(*.f64 b (-.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 c c) d)))
(* b (- (/ (* a c) b) (/ (pow c 2) d)))
(*.f64 b (-.f64 (/.f64 (*.f64 a c) b) (/.f64 (*.f64 c c) d)))
(* -1 (/ (* b (pow c 2)) d))
(/.f64 (*.f64 b (*.f64 c c)) (-.f64 #s(literal 0 binary64) d))
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 c c) d)))
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 c c) d)))
(* -1 (* b (- (* -1 (/ (* a c) b)) (* -1 (/ (pow c 2) d)))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 (*.f64 a c) (-.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 c c) d)))
(* -1 (/ (* b (pow c 2)) d))
(/.f64 (*.f64 b (*.f64 c c)) (-.f64 #s(literal 0 binary64) d))
(/ (- (* a (* c d)) (* b (pow c 2))) d)
(/.f64 (-.f64 (*.f64 d (*.f64 a c)) (*.f64 b (*.f64 c c))) d)
(/ (- (* a (* c d)) (* b (pow c 2))) d)
(/.f64 (-.f64 (*.f64 d (*.f64 a c)) (*.f64 b (*.f64 c c))) d)
(/ (- (* a (* c d)) (* b (pow c 2))) d)
(/.f64 (-.f64 (*.f64 d (*.f64 a c)) (*.f64 b (*.f64 c c))) d)
(* a c)
(*.f64 a c)
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d))
(* a c)
(*.f64 a c)
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d))
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c))
(-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(* b (pow c 2))
(*.f64 b (*.f64 c c))
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)
(/ (* b (pow c 2)) d)
(/.f64 (*.f64 b (*.f64 c c)) d)

eval199.0ms (2.3%)

Compiler

Compiled 38648 to 3266 computations (91.5% saved)

prune177.0ms (2.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1556161572
Fresh358
Picked415
Done101
Total1564221586
Accuracy
98.3%
Counts
1586 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.1%
(/.f64 (/.f64 (*.f64 a c) d) d)
51.8%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d (*.f64 d (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d))))))
50.6%
(/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (*.f64 b (/.f64 c d)))) d)) d)
▶55.0%
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
55.4%
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
55.4%
(/.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal 1 binary64) d)))) d)
51.9%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
35.6%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
23.1%
(/.f64 (*.f64 b d) (*.f64 c c))
▶32.9%
(/.f64 (*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) (*.f64 c c))
▶18.6%
(/.f64 (*.f64 a c) (*.f64 d d))
▶45.1%
(/.f64 b d)
✓40.2%
(/.f64 a c)
44.7%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
39.9%
(/.f64 #s(literal 1 binary64) (/.f64 c a))
52.1%
(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
▶60.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 d b) (*.f64 c a)))
54.3%
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (/.f64 (*.f64 c a) d))) #s(literal -1 binary64)))
40.0%
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
40.1%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
40.1%
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 (/.f64 b c) d)))
23.3%
(*.f64 b (/.f64 d (*.f64 c c)))
Compiler

Compiled 593 to 381 computations (35.8% saved)

simplify392.0ms (4.5%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 b d) a)
✓cost-diff0
(+.f64 c (/.f64 (*.f64 b d) a))
✓cost-diff128
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a)))
✓cost-diff256
(/.f64 (*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) (*.f64 c c))
✓cost-diff0
(/.f64 a d)
✓cost-diff0
(*.f64 (/.f64 a d) c)
✓cost-diff0
(+.f64 b (*.f64 (/.f64 a d) c))
✓cost-diff0
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
✓cost-diff0
(*.f64 d d)
✓cost-diff0
(*.f64 a c)
✓cost-diff0
(/.f64 (*.f64 a c) (*.f64 d d))
✓cost-diff0
(/.f64 b d)
✓cost-diff0
(*.f64 c c)
✓cost-diff0
(+.f64 (*.f64 c c) (*.f64 d d))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 d b) (*.f64 c a)))
Rules
5312×*-lowering-*.f32
5312×*-lowering-*.f64
3284×fma-define
2916×fma-lowering-fma.f32
2916×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
025140
168135
2150135
3262133
4387133
51110131
62453131
72630131
82781131
92900131
102931131
112945131
124619131
135063131
145501131
156446131
166562131
176708131
186871131
197008131
207093131
08773131
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1 (+ (* c c) (* d d))) (+ (* d b) (* c a)))
(/ 1 (+ (* c c) (* d d)))
1
(+ (* c c) (* d d))
(* c c)
c
(* d d)
d
(+ (* d b) (* c a))
(* d b)
b
(* c a)
a
(/ b d)
b
d
(/ (* a c) (* d d))
(* a c)
a
c
(* d d)
d
(/ (+ b (* (/ a d) c)) d)
(+ b (* (/ a d) c))
b
(* (/ a d) c)
(/ a d)
a
d
c
(/ (* a (+ c (/ (* b d) a))) (* c c))
(* a (+ c (/ (* b d) a)))
a
(+ c (/ (* b d) a))
c
(/ (* b d) a)
(* b d)
b
d
(* c c)
Outputs
(* (/ 1 (+ (* c c) (* d d))) (+ (* d b) (* c a)))
(/.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/ 1 (+ (* c c) (* d d)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))
1
#s(literal 1 binary64)
(+ (* c c) (* d d))
(+.f64 (*.f64 c c) (*.f64 d d))
(* c c)
(*.f64 c c)
c
(* d d)
(*.f64 d d)
d
(+ (* d b) (* c a))
(+.f64 (*.f64 d b) (*.f64 c a))
(* d b)
(*.f64 d b)
b
(* c a)
(*.f64 c a)
a
(/ b d)
(/.f64 b d)
b
d
(/ (* a c) (* d d))
(/.f64 c (/.f64 (*.f64 d d) a))
(* a c)
(*.f64 c a)
a
c
(* d d)
(*.f64 d d)
d
(/ (+ b (* (/ a d) c)) d)
(/.f64 (+.f64 b (/.f64 c (/.f64 d a))) d)
(+ b (* (/ a d) c))
(+.f64 b (/.f64 c (/.f64 d a)))
b
(* (/ a d) c)
(/.f64 c (/.f64 d a))
(/ a d)
(/.f64 a d)
a
d
c
(/ (* a (+ c (/ (* b d) a))) (* c c))
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)
(* a (+ c (/ (* b d) a)))
(+.f64 (*.f64 d b) (*.f64 c a))
a
(+ c (/ (* b d) a))
(+.f64 c (*.f64 d (/.f64 b a)))
c
(/ (* b d) a)
(*.f64 d (/.f64 b a))
(* b d)
(*.f64 d b)
b
d
(* c c)
(*.f64 c c)

localize144.0ms (1.7%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 b d)
✓accuracy93.6%
(/.f64 (*.f64 b d) a)
✓accuracy93.6%
(*.f64 a (+.f64 c (/.f64 (*.f64 b d) a)))
✓accuracy71.1%
(/.f64 (*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) (*.f64 c c))
✓accuracy100.0%
(/.f64 a d)
✓accuracy100.0%
(+.f64 b (*.f64 (/.f64 a d) c))
✓accuracy98.4%
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
✓accuracy92.3%
(*.f64 (/.f64 a d) c)
✓accuracy100.0%
(*.f64 d d)
✓accuracy100.0%
(*.f64 a c)
✓accuracy79.5%
(/.f64 (*.f64 a c) (*.f64 d d))
✓accuracy100.0%
(/.f64 b d)
✓accuracy100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
✓accuracy99.7%
(+.f64 (*.f64 d b) (*.f64 c a))
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))
✓accuracy61.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 d b) (*.f64 c a)))
Results
117.0ms256×0valid
Compiler

Compiled 155 to 26 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 39.0ms (70.4% of total)
ival-div: 11.0ms (19.8% of total)
ival-add: 5.0ms (9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (0.3%)

Counts
18 → 612
Calls
Call 1
Inputs
#<alt (* (/ 1 (+ (* c c) (* d d))) (+ (* d b) (* c a)))>
#<alt (/ 1 (+ (* c c) (* d d)))>
#<alt (+ (* c c) (* d d))>
#<alt (* c c)>
#<alt (/ b d)>
#<alt (/ (* a c) (* d d))>
#<alt (* a c)>
#<alt (* d d)>
#<alt (/ (+ b (* (/ a d) c)) d)>
#<alt (+ b (* (/ a d) c))>
#<alt (* (/ a d) c)>
#<alt (/ a d)>
#<alt (/ (* a (+ c (/ (* b d) a))) (* c c))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (+ c (/ (* b d) a))>
#<alt (/ (* b d) a)>
#<alt (+ (* d b) (* c a))>
#<alt (* b 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 (/ (* a c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))>
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))>
#<alt (/ (* b d) (+ (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 (/ 1 (pow d 2))>
#<alt (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))>
#<alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))>
#<alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))>
#<alt (/ 1 (pow c 2))>
#<alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))>
#<alt (/ 1 (pow c 2))>
#<alt (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))>
#<alt (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))>
#<alt (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))>
#<alt (/ 1 (pow d 2))>
#<alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))>
#<alt (/ 1 (pow d 2))>
#<alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))>
#<alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))>
#<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)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ b d)>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (/ (* 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 (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ (* 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 (/ (* 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 (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))>
#<alt (/ a c)>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))>
#<alt (/ (* b d) (pow c 2))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a (+ c (/ (* b d) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (/ (* b d) a)>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt c>
#<alt (* c (+ 1 (/ (* b d) (* a c))))>
#<alt (* c (+ 1 (/ (* b d) (* a c))))>
#<alt (* c (+ 1 (/ (* b d) (* a c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1)))>
#<alt c>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (/ (* b d) a)>
#<alt (* b (+ (/ c b) (/ d a)))>
#<alt (* b (+ (/ c b) (/ d a)))>
#<alt (* b (+ (/ c b) (/ d a)))>
#<alt (/ (* b d) a)>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a)))))>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a)))))>
#<alt (* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a)))))>
#<alt c>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (/ (* b d) a)>
#<alt (* d (+ (/ b a) (/ c d)))>
#<alt (* d (+ (/ b a) (/ c d)))>
#<alt (* d (+ (/ b a) (/ c d)))>
#<alt (/ (* b d) a)>
#<alt (* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d)))))>
#<alt (/ (* b d) a)>
#<alt (/ (+ (* a c) (* b d)) a)>
#<alt (/ (+ (* a c) (* b d)) a)>
#<alt (/ (+ (* a c) (* b d)) a)>
#<alt c>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt c>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (+ c (/ (* b d) a))>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (/ (* b d) a)>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* d (+ b (/ (* a c) d)))>
#<alt (* b d)>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))>
#<alt (* a c)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* b d)>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b (+ d (/ (* a c) b)))>
#<alt (* b d)>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))>
#<alt (* b d)>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (+ (* a c) (* b d))>
#<alt (* a c)>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* c (+ a (/ (* b d) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))>
#<alt (* b d)>
#<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 (* 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

153 calls:

TimeVariablePointExpression
4.0ms
d
@inf
(/ (+ b (* (/ a d) c)) d)
1.0ms
a
@-inf
(/ (* a (+ c (/ (* b d) a))) (* c c))
1.0ms
a
@inf
(/ (* a (+ c (/ (* b d) a))) (* c c))
1.0ms
a
@0
(/ (* a (+ c (/ (* b d) a))) (* c c))
0.0ms
b
@-inf
(/ (* a (+ c (/ (* b d) a))) (* c c))

rewrite401.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
4054×/-lowering-/.f32
4054×/-lowering-/.f64
3452×*-lowering-*.f32
3452×*-lowering-*.f64
1868×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025113
1169107
21408107
08308107
Stop Event
1×iter limit
1×node limit
Counts
18 → 683
Calls
Call 1
Inputs
(* (/ 1 (+ (* c c) (* d d))) (+ (* d b) (* c a)))
(/ 1 (+ (* c c) (* d d)))
(+ (* c c) (* d d))
(* c c)
(/ b d)
(/ (* a c) (* d d))
(* a c)
(* d d)
(/ (+ b (* (/ a d) c)) d)
(+ b (* (/ a d) c))
(* (/ a d) c)
(/ a d)
(/ (* a (+ c (/ (* b d) a))) (* c c))
(* a (+ c (/ (* b d) a)))
(+ c (/ (* b d) a))
(/ (* b d) a)
(+ (* d b) (* c a))
(* b d)
Outputs
(+.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 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 d b) (*.f64 c a))) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 d b) (*.f64 c a))) (+.f64 (*.f64 c c) (*.f64 d d))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d)))) (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))) (/.f64 (*.f64 (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))) (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))))
(fma.f64 c (*.f64 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 d (*.f64 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 d b) (/.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 d b) (+.f64 (*.f64 c c) (*.f64 d d))))
(fma.f64 b (*.f64 d (/.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 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 a (*.f64 c (/.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 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 (*.f64 d b) #s(literal 1 binary64)) (/.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 (*.f64 c a) #s(literal 1 binary64)) (/.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) c) a (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) a) c (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) d) b (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) b) d (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 d b) (*.f64 c a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b))))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 d b) (*.f64 c a))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b))))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 (*.f64 d b) (*.f64 c a))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b)))) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d)))) (-.f64 (*.f64 (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.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 (/.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 d b) (+.f64 (*.f64 c c) (*.f64 d d))))) (*.f64 (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 (*.f64 (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 d b) (+.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 d b) (*.f64 c a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b)))) (*.f64 (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))))))
(/.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 d b) (*.f64 c a)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a)))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b))))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (-.f64 (*.f64 d b) (*.f64 c a))))
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(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (neg.f64 (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (neg.f64 (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 d (*.f64 b (*.f64 c a)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a)))) (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))) (-.f64 (*.f64 c a) (*.f64 d b)))
(/.f64 (-.f64 (*.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 d b) (*.f64 c a))) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 c (*.f64 a (*.f64 c a))))) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))))) (neg.f64 (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a))))) (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))))) (neg.f64 (neg.f64 (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a))))) (neg.f64 (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b))))) (neg.f64 (-.f64 (*.f64 c a) (*.f64 d b))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 d b)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 d b)) (*.f64 #s(literal 1 binary64) (*.f64 d b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c a)) (*.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 d b)) (*.f64 #s(literal 1 binary64) (*.f64 c a))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 d b) #s(literal 1 binary64)) (*.f64 (*.f64 d b) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) (*.f64 (*.f64 c a) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 d b) #s(literal 1 binary64)) (*.f64 (*.f64 c a) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 d b)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c a)) (*.f64 #s(literal 1 binary64) (*.f64 c a))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 d b)) (*.f64 #s(literal 1 binary64) (*.f64 d b))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c a)) (*.f64 #s(literal 1 binary64) (*.f64 d b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) (*.f64 (*.f64 c a) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 d b) #s(literal 1 binary64)) (*.f64 (*.f64 d b) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) (*.f64 (*.f64 d b) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 d b) (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 d b) (*.f64 c a))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 d b) (*.f64 c a))) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 d b) (*.f64 c a)))) (+.f64 (*.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 d b) (*.f64 c a))) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 d b) (*.f64 c a)))) (*.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (-.f64 (*.f64 d b) (*.f64 c a))) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 d b) (*.f64 c a)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d b) (*.f64 c a))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 d b) (*.f64 c a)))
(*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b))))))
(*.f64 (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 d (*.f64 b (*.f64 c a)))))))
(*.f64 (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 d b) (*.f64 c a))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b))))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 d b) (*.f64 c a))))
(*.f64 (neg.f64 (+.f64 (*.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b)))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b)))))))
(*.f64 (neg.f64 (*.f64 (+.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a)))))
(*.f64 (-.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (*.f64 b (*.f64 d b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c a) (*.f64 d b))))
(*.f64 d b)
(*.f64 b d)

simplify584.0ms (6.8%)

Algorithm
1×egg-herbie
Rules
4456×*-lowering-*.f32
4456×*-lowering-*.f64
1920×+-lowering-+.f64
1920×+-lowering-+.f32
1690×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03554773
112364519
241164474
082334474
Stop Event
1×iter limit
1×node limit
Counts
612 → 612
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))
(/ (* 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))))))))
(/ 1 (pow d 2))
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ 1 (pow c 2))
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(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)
(/ 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) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(/ (* 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)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ (* 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)))))
(/ (* b d) a)
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
c
(* c (+ 1 (/ (* b d) (* a c))))
(* c (+ 1 (/ (* b d) (* a c))))
(* c (+ 1 (/ (* b d) (* a c))))
c
(* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1)))
(* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1)))
c
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(/ (* b d) a)
(* b (+ (/ c b) (/ d a)))
(* b (+ (/ c b) (/ d a)))
(* b (+ (/ c b) (/ d a)))
(/ (* b d) a)
(* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a)))))
(* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a)))))
(* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a)))))
c
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(/ (* b d) a)
(* d (+ (/ b a) (/ c d)))
(* d (+ (/ b a) (/ c d)))
(* d (+ (/ b a) (/ c d)))
(/ (* b d) a)
(* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d)))))
(/ (* b d) a)
(/ (+ (* a c) (* b d)) a)
(/ (+ (* a c) (* b d)) a)
(/ (+ (* a c) (* b d)) a)
c
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
c
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(+ c (/ (* b d) a))
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(/ (* b d) a)
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* d (+ b (/ (* a c) d)))
(* b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(* a c)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* b d)
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b (+ d (/ (* a c) b)))
(* b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(* b d)
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(+ (* a c) (* b d))
(* a c)
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* c (+ a (/ (* b d) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(* b d)
(+ (* 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)
(* 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
(/ b d)
(/.f64 b d)
(+ (/ b d) (/ (* a c) (pow d 2)))
(+.f64 (/.f64 b d) (/.f64 (*.f64 a c) (*.f64 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)) (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 a c) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 b (*.f64 d (*.f64 d d)))) c)))))
(/ 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 d (*.f64 d a)) c)) c)) c)
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 a (-.f64 (*.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)))) (*.f64 a (/.f64 (/.f64 (*.f64 d d) 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 d (*.f64 d a)) c)) c)) c)
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (+.f64 (*.f64 d (*.f64 d a)) (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) c)) c)) c)) c)
(/ a c)
(/.f64 a c)
(+ (/ a c) (/ (* b d) (pow c 2)))
(+.f64 (/.f64 a c) (/.f64 (*.f64 b d) (*.f64 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 d (/.f64 a (*.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) (*.f64 (*.f64 c c) (-.f64 #s(literal 0 binary64) (*.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 b (/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) d)
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)
(/.f64 (+.f64 (*.f64 (/.f64 a d) (-.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d)))) (*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d 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 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 a c) (/.f64 (*.f64 b (*.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 b (/.f64 (-.f64 (*.f64 a c) (/.f64 (+.f64 (*.f64 b (*.f64 c c)) (/.f64 (*.f64 a (*.f64 c (*.f64 c c))) d)) d)) d)) d)
(/ (* 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 a c) (+.f64 (*.f64 d d) (*.f64 c c))) (/.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 a c) (+.f64 (*.f64 d d) (*.f64 c c))) (/.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 a c) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 b d) (+.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 b (+.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 b (+.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 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)))
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))
(+.f64 (/.f64 (*.f64 a c) (+.f64 (*.f64 d d) (*.f64 c c))) (/.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 a c) (+.f64 (*.f64 d d) (*.f64 c c))) (/.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 a c) (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (*.f64 b d) (+.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 a (+.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 a (+.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 a (+.f64 (/.f64 c (+.f64 (*.f64 d d) (*.f64 c c))) (/.f64 (/.f64 (*.f64 b d) a) (+.f64 (*.f64 d d) (*.f64 c c)))))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))) (*.f64 d d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (*.f64 (*.f64 c c) (-.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) (*.f64 d d))))))
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(*.f64 d (+.f64 (/.f64 b a) (/.f64 c d)))
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (+ (* a c) (* b d)) a)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) a)
(/ (+ (* a c) (* b d)) a)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) a)
(/ (+ (* a c) (* b d)) a)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) a)
c
(+ c (/ (* b d) a))
(+.f64 c (/.f64 (*.f64 b d) a))
(+ c (/ (* b d) a))
(+.f64 c (/.f64 (*.f64 b d) a))
(+ c (/ (* b d) a))
(+.f64 c (/.f64 (*.f64 b d) a))
c
(+ c (/ (* b d) a))
(+.f64 c (/.f64 (*.f64 b d) a))
(+ c (/ (* b d) a))
(+.f64 c (/.f64 (*.f64 b d) a))
(+ c (/ (* b d) a))
(+.f64 c (/.f64 (*.f64 b d) a))
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(/ (* b d) a)
(/.f64 (*.f64 b d) a)
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(* b d)
(*.f64 b d)
(* d (+ b (/ (* a c) d)))
(*.f64 d (+.f64 b (/.f64 (*.f64 a c) d)))
(* d (+ b (/ (* a c) d)))
(*.f64 d (+.f64 b (/.f64 (*.f64 a c) d)))
(* d (+ b (/ (* a c) d)))
(*.f64 d (+.f64 b (/.f64 (*.f64 a c) d)))
(* b d)
(*.f64 b d)
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (+.f64 b (/.f64 (*.f64 a c) d)))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (+.f64 b (/.f64 (*.f64 a c) d)))
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))
(*.f64 d (+.f64 b (/.f64 (*.f64 a c) d)))
(* a c)
(*.f64 a c)
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(* b d)
(*.f64 b d)
(* b (+ d (/ (* a c) b)))
(*.f64 b (+.f64 d (/.f64 (*.f64 a c) b)))
(* b (+ d (/ (* a c) b)))
(*.f64 b (+.f64 d (/.f64 (*.f64 a c) b)))
(* b (+ d (/ (* a c) b)))
(*.f64 b (+.f64 d (/.f64 (*.f64 a c) b)))
(* b d)
(*.f64 b d)
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 b (+.f64 d (/.f64 (*.f64 a c) b)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 b (+.f64 d (/.f64 (*.f64 a c) b)))
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))
(*.f64 b (+.f64 d (/.f64 (*.f64 a c) b)))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(* a c)
(*.f64 a 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)))
(* c (+ a (/ (* b d) c)))
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c)))
(* a c)
(*.f64 a 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)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))
(*.f64 c (+.f64 a (/.f64 (*.f64 b d) c)))
(* b d)
(*.f64 b d)
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(+ (* a c) (* b d))
(+.f64 (*.f64 a c) (*.f64 b d))
(* a c)
(*.f64 a c)
(* 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 a c)
(* -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)
(* 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)

eval162.0ms (1.9%)

Compiler

Compiled 27949 to 2283 computations (91.8% saved)

prune160.0ms (1.9%)

Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New1319121331
Fresh51116
Picked235
Done011
Total1326271353
Accuracy
99.3%
Counts
1353 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.1%
(/.f64 (/.f64 (*.f64 a c) d) d)
20.5%
(/.f64 (/.f64 c (/.f64 d a)) d)
20.2%
(/.f64 (/.f64 c d) (/.f64 d a))
51.8%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d (*.f64 d (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d))))))
38.2%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
50.6%
(/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (*.f64 b (/.f64 c d)))) d)) d)
✓55.0%
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
27.7%
(/.f64 (+.f64 b (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d a)) #s(literal -1 binary64))) c)) d)
▶55.4%
(/.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) d) c))) d)
51.9%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
39.8%
(/.f64 (+.f64 a (-.f64 (*.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)))) (*.f64 a (/.f64 (/.f64 (*.f64 d d) c) c)))) c)
35.6%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
23.1%
(/.f64 (*.f64 b d) (*.f64 c c))
21.5%
(/.f64 (*.f64 a (/.f64 (*.f64 b d) a)) (*.f64 c c))
✓18.6%
(/.f64 (*.f64 a c) (*.f64 d d))
✓45.1%
(/.f64 b d)
✓40.2%
(/.f64 a c)
▶18.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) a))
44.7%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
39.9%
(/.f64 #s(literal 1 binary64) (/.f64 c a))
▶20.1%
(*.f64 (/.f64 c d) (/.f64 a d))
34.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 a c))
45.0%
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
▶40.1%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
41.1%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (+.f64 (/.f64 a d) (/.f64 b c))) (-.f64 #s(literal 0 binary64) d))
▶40.1%
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 (/.f64 b c) d)))
23.3%
(*.f64 b (/.f64 d (*.f64 c c)))
Compiler

Compiled 708 to 451 computations (36.3% saved)

simplify365.0ms (4.2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 d d)
✓cost-diff0
(/.f64 a (*.f64 d d))
✓cost-diff128
(+.f64 (/.f64 a (*.f64 d d)) (/.f64 (/.f64 b c) d))
✓cost-diff256
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 (/.f64 b c) d)))
✓cost-diff0
(*.f64 d d)
✓cost-diff0
(/.f64 (*.f64 d d) c)
✓cost-diff0
(/.f64 (/.f64 (*.f64 d d) c) a)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) a))
✓cost-diff0
(/.f64 a d)
✓cost-diff0
(/.f64 c d)
✓cost-diff0
(*.f64 (/.f64 c d) (/.f64 a d))
✓cost-diff0
(/.f64 #s(literal 1 binary64) c)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) d) c)
✓cost-diff128
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) d) c))
✓cost-diff128
(+.f64 b (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) d) c)))
✓cost-diff128
(/.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) d) c))) d)
Rules
5046×*-lowering-*.f32
5046×*-lowering-*.f64
4192×/-lowering-/.f32
4192×/-lowering-/.f64
2960×associate-/r*
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024128
161118
2126118
3293118
4554118
51022116
62283116
72670116
82976116
93345116
103766116
114109116
124380116
135085116
145190116
155326116
165684116
176084116
186523116
197133116
207584116
217871116
09852116
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ b (* a (* (/ 1 d) c))) d)
(+ b (* a (* (/ 1 d) c)))
b
(* a (* (/ 1 d) c))
a
(* (/ 1 d) c)
(/ 1 d)
1
d
c
(* (/ 1 c) a)
(/ 1 c)
1
c
a
(* (/ c d) (/ a d))
(/ c d)
c
d
(/ a d)
a
(/ 1 (/ (/ (* d d) c) a))
1
(/ (/ (* d d) c) a)
(/ (* d d) c)
(* d d)
d
c
a
(* c (+ (/ a (* d d)) (/ (/ b c) d)))
c
(+ (/ a (* d d)) (/ (/ b c) d))
(/ a (* d d))
a
(* d d)
d
(/ (/ b c) d)
(/ b c)
b
Outputs
(/ (+ b (* a (* (/ 1 d) c))) d)
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
(+ b (* a (* (/ 1 d) c)))
(+.f64 b (/.f64 a (/.f64 d c)))
b
(* a (* (/ 1 d) c))
(/.f64 a (/.f64 d c))
a
(* (/ 1 d) c)
(/.f64 c d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
1
#s(literal 1 binary64)
d
c
(* (/ 1 c) a)
(/.f64 a c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
1
#s(literal 1 binary64)
c
a
(* (/ c d) (/ a d))
(/.f64 a (*.f64 d (/.f64 d c)))
(/ c d)
(/.f64 c d)
c
d
(/ a d)
(/.f64 a d)
a
(/ 1 (/ (/ (* d d) c) a))
(/.f64 a (*.f64 d (/.f64 d c)))
1
#s(literal 1 binary64)
(/ (/ (* d d) c) a)
(/.f64 (*.f64 d (/.f64 d c)) a)
(/ (* d d) c)
(*.f64 d (/.f64 d c))
(* d d)
(*.f64 d d)
d
c
a
(* c (+ (/ a (* d d)) (/ (/ b c) d)))
(/.f64 (+.f64 b (/.f64 a (/.f64 d c))) d)
c
(+ (/ a (* d d)) (/ (/ b c) d))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(/ a (* d d))
(/.f64 (/.f64 a d) d)
a
(* d d)
(*.f64 d d)
d
(/ (/ b c) d)
(/.f64 b (*.f64 d c))
(/ b c)
(/.f64 b c)
b

localize156.0ms (1.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy96.0%
(+.f64 (/.f64 a (*.f64 d d)) (/.f64 (/.f64 b c) d))
✓accuracy92.0%
(/.f64 (/.f64 b c) d)
✓accuracy87.9%
(/.f64 a (*.f64 d d))
✓accuracy85.6%
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 (/.f64 b c) d)))
✓accuracy100.0%
(*.f64 d d)
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) a))
✓accuracy88.4%
(/.f64 (/.f64 (*.f64 d d) c) a)
✓accuracy86.2%
(/.f64 (*.f64 d d) c)
✓accuracy100.0%
(/.f64 c d)
✓accuracy100.0%
(/.f64 a d)
✓accuracy96.4%
(*.f64 (/.f64 c d) (/.f64 a d))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) c)
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
✓accuracy100.0%
(+.f64 b (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) d) c)))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) d) c)
✓accuracy98.4%
(/.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) d) c))) d)
✓accuracy92.7%
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) d) c))
Results
126.0ms256×0valid
Compiler

Compiled 144 to 25 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 30.0ms (58.4% of total)
ival-mult: 18.0ms (35% of total)
ival-add: 2.0ms (3.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.3%)

Counts
17 → 540
Calls
Call 1
Inputs
#<alt (/ (+ b (* a (* (/ 1 d) c))) d)>
#<alt (+ b (* a (* (/ 1 d) c)))>
#<alt (* a (* (/ 1 d) c))>
#<alt (* (/ 1 d) c)>
#<alt (* (/ 1 c) a)>
#<alt (/ 1 c)>
#<alt (* (/ c d) (/ a d))>
#<alt (/ c d)>
#<alt (/ a d)>
#<alt (/ 1 (/ (/ (* d d) c) a))>
#<alt (/ (/ (* d d) c) a)>
#<alt (/ (* d d) c)>
#<alt (* d d)>
#<alt (* c (+ (/ a (* d d)) (/ (/ b c) d)))>
#<alt (+ (/ a (* d d)) (/ (/ b c) d))>
#<alt (/ a (* d d))>
#<alt (/ (/ b c) d)>
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 (/ 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 (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ a c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ 1 c)>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ 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 (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ a d)>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (* a c) (pow d 2))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) (* a c))>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (/ (pow d 2) c)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (pow d 2)>
#<alt (/ b d)>
#<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 (/ (* 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 (* c d))>
#<alt (+ (/ a (pow d 2)) (/ b (* c d)))>
#<alt (+ (/ a (pow d 2)) (/ b (* c d)))>
#<alt (+ (/ a (pow d 2)) (/ b (* c d)))>
#<alt (/ a (pow d 2))>
#<alt (* a (+ (/ 1 (pow d 2)) (/ b (* a (* c d)))))>
#<alt (* a (+ (/ 1 (pow d 2)) (/ b (* a (* c d)))))>
#<alt (* a (+ (/ 1 (pow d 2)) (/ b (* a (* c d)))))>
#<alt (/ a (pow d 2))>
#<alt (* -1 (* a (- (* -1 (/ b (* a (* c d)))) (/ 1 (pow d 2)))))>
#<alt (* -1 (* a (- (* -1 (/ b (* a (* c d)))) (/ 1 (pow d 2)))))>
#<alt (* -1 (* a (- (* -1 (/ b (* a (* c d)))) (/ 1 (pow d 2)))))>
#<alt (/ a (pow d 2))>
#<alt (/ (+ a (/ (* b d) c)) (pow d 2))>
#<alt (/ (+ a (/ (* b d) c)) (pow d 2))>
#<alt (/ (+ a (/ (* b d) c)) (pow d 2))>
#<alt (/ b (* c d))>
#<alt (/ (+ (/ a d) (/ b c)) d)>
#<alt (/ (+ (/ a d) (/ b c)) d)>
#<alt (/ (+ (/ a d) (/ b c)) d)>
#<alt (/ b (* c d))>
#<alt (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))>
#<alt (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))>
#<alt (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))>
#<alt (/ a (pow d 2))>
#<alt (+ (/ a (pow d 2)) (/ b (* c d)))>
#<alt (+ (/ a (pow d 2)) (/ b (* c d)))>
#<alt (+ (/ a (pow d 2)) (/ b (* c d)))>
#<alt (/ b (* c d))>
#<alt (* b (+ (/ 1 (* c d)) (/ a (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 (* c d)) (/ a (* b (pow d 2)))))>
#<alt (* b (+ (/ 1 (* c d)) (/ a (* b (pow d 2)))))>
#<alt (/ b (* c d))>
#<alt (* -1 (* b (- (* -1 (/ a (* b (pow d 2)))) (/ 1 (* c d)))))>
#<alt (* -1 (* b (- (* -1 (/ a (* b (pow d 2)))) (/ 1 (* c d)))))>
#<alt (* -1 (* b (- (* -1 (/ a (* b (pow d 2)))) (/ 1 (* c d)))))>
#<alt (/ b (* c d))>
#<alt (/ (+ (/ b d) (/ (* a c) (pow d 2))) c)>
#<alt (/ (+ (/ b d) (/ (* a c) (pow d 2))) c)>
#<alt (/ (+ (/ b d) (/ (* a c) (pow d 2))) c)>
#<alt (/ a (pow d 2))>
#<alt (+ (/ a (pow d 2)) (/ b (* c d)))>
#<alt (+ (/ a (pow d 2)) (/ b (* c d)))>
#<alt (+ (/ a (pow d 2)) (/ b (* c d)))>
#<alt (/ a (pow d 2))>
#<alt (+ (/ a (pow d 2)) (/ b (* c d)))>
#<alt (+ (/ a (pow d 2)) (/ b (* c d)))>
#<alt (+ (/ a (pow d 2)) (/ b (* c d)))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ a (pow d 2))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
#<alt (/ b (* c d))>
Calls

135 calls:

TimeVariablePointExpression
3.0ms
a
@0
(* c (+ (/ a (* d d)) (/ (/ b c) d)))
1.0ms
b
@inf
(* c (+ (/ a (* d d)) (/ (/ b c) d)))
1.0ms
b
@0
(* c (+ (/ a (* d d)) (/ (/ b c) d)))
1.0ms
c
@-inf
(* c (+ (/ a (* d d)) (/ (/ b c) d)))
0.0ms
c
@0
(* c (+ (/ a (* d d)) (/ (/ b c) d)))

rewrite344.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
4658×/-lowering-/.f32
4658×/-lowering-/.f64
3330×*-lowering-*.f32
3330×*-lowering-*.f64
1174×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02499
115394
2150494
0828594
Stop Event
1×iter limit
1×node limit
Counts
17 → 1039
Calls
Call 1
Inputs
(/ (+ b (* a (* (/ 1 d) c))) d)
(+ b (* a (* (/ 1 d) c)))
(* a (* (/ 1 d) c))
(* (/ 1 d) c)
(* (/ 1 c) a)
(/ 1 c)
(* (/ c d) (/ a d))
(/ c d)
(/ a d)
(/ 1 (/ (/ (* d d) c) a))
(/ (/ (* d d) c) a)
(/ (* d d) c)
(* d d)
(* c (+ (/ a (* d d)) (/ (/ b c) d)))
(+ (/ a (* d d)) (/ (/ b c) d))
(/ a (* d d))
(/ (/ b c) d)
Outputs
(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 (+.f64 b (*.f64 c (/.f64 a d))) (-.f64 #s(literal 0 binary64) d)))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (*.f64 c (/.f64 a d)))) d) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 c (/.f64 a d)) a) (/.f64 d 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 (*.f64 c (/.f64 a d)) a) (/.f64 d c)) (*.f64 d (-.f64 b (*.f64 c (/.f64 a d))))))
(neg.f64 (/.f64 (+.f64 b (*.f64 c (/.f64 a d))) (-.f64 #s(literal 0 binary64) 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 c (/.f64 a d)) (-.f64 (*.f64 c (/.f64 a d)) b)))) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 c (/.f64 a d)) (/.f64 (*.f64 (*.f64 c (/.f64 a d)) a) (/.f64 d c))))))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) c) d))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) d)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (neg.f64 (neg.f64 (*.f64 d c))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (neg.f64 (*.f64 d (-.f64 #s(literal 0 binary64) c))))
(/.f64 (*.f64 (/.f64 b c) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) d))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) d) (-.f64 #s(literal 0 binary64) c))
(/.f64 (/.f64 b d) c)
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 (*.f64 d c)))
(/.f64 (neg.f64 (*.f64 b #s(literal -1 binary64))) (neg.f64 (*.f64 c (-.f64 #s(literal 0 binary64) d))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) d)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) d))))
(/.f64 (neg.f64 (*.f64 (/.f64 b c) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) d)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) d)) (neg.f64 (-.f64 #s(literal 0 binary64) c)))
(/.f64 (neg.f64 (/.f64 b d)) (-.f64 #s(literal 0 binary64) c))
(pow.f64 (*.f64 (/.f64 d b) c) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 c b) d) #s(literal -1 binary64))
(*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 d c)))
(*.f64 #s(literal 1 binary64) (/.f64 b (*.f64 d c)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 b c))
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 (/.f64 b c) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 b c) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 b c) (/.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)))
(*.f64 (/.f64 b (*.f64 d c)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 c b) (-.f64 #s(literal 0 binary64) d))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 d b) c))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 d c))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (*.f64 d (-.f64 #s(literal 0 binary64) c))))
(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) c)) (/.f64 #s(literal -1 binary64) d))
(*.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d c)))
(*.f64 (*.f64 b #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c (-.f64 #s(literal 0 binary64) d))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) c) d)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 #s(literal 0 binary64) d))))
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 b (-.f64 #s(literal 0 binary64) c)))
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d c)) (/.f64 b #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 b c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) d) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) d) (/.f64 (/.f64 #s(literal -1 binary64) c) #s(literal 1 binary64)))
(*.f64 (/.f64 b d) (/.f64 #s(literal 1 binary64) c))
(*.f64 (/.f64 b d) (/.f64 (/.f64 #s(literal 1 binary64) c) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 d b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) c))
(*.f64 (pow.f64 (/.f64 d (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) d) c))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) c)) d))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) d) c) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (pow.f64 d #s(literal -1/2 binary64)) c) (/.f64 (pow.f64 d #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 (*.f64 b #s(literal 1 binary64)) d) (/.f64 (/.f64 #s(literal 1 binary64) c) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d c)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) d) c))
(*.f64 (/.f64 (/.f64 b c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d))

simplify301.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
3128×*-lowering-*.f32
3128×*-lowering-*.f64
1504×fmsub-define
1274×/-lowering-/.f32
1274×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01063363
13493258
211633198
338003060
082543060
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
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)
(/ 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)
(/ a c)
(/ a c)
(/ a c)
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(/ a c)
(/ a c)
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(/ a c)
(/ a c)
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(/ a c)
(/ a c)
(/ a c)
(/ 1 c)
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(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ 1 c)
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ 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)
(/ a d)
(/ a d)
(/ a d)
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(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
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(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ a d)
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (* a c) (pow d 2))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) (* a c))
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(/ (pow d 2) c)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(pow d 2)
(/ b d)
(+ (/ 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))))))
(/ (* 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 (* c d))
(+ (/ a (pow d 2)) (/ b (* c d)))
(+ (/ a (pow d 2)) (/ b (* c d)))
(+ (/ a (pow d 2)) (/ b (* c d)))
(/ a (pow d 2))
(* a (+ (/ 1 (pow d 2)) (/ b (* a (* c d)))))
(* a (+ (/ 1 (pow d 2)) (/ b (* a (* c d)))))
(* a (+ (/ 1 (pow d 2)) (/ b (* a (* c d)))))
(/ a (pow d 2))
(* -1 (* a (- (* -1 (/ b (* a (* c d)))) (/ 1 (pow d 2)))))
(* -1 (* a (- (* -1 (/ b (* a (* c d)))) (/ 1 (pow d 2)))))
(* -1 (* a (- (* -1 (/ b (* a (* c d)))) (/ 1 (pow d 2)))))
(/ a (pow d 2))
(/ (+ a (/ (* b d) c)) (pow d 2))
(/ (+ a (/ (* b d) c)) (pow d 2))
(/ (+ a (/ (* b d) c)) (pow d 2))
(/ b (* c d))
(/ (+ (/ a d) (/ b c)) d)
(/ (+ (/ a d) (/ b c)) d)
(/ (+ (/ a d) (/ b c)) d)
(/ b (* c d))
(* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))
(* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))
(* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))
(/ a (pow d 2))
(+ (/ a (pow d 2)) (/ b (* c d)))
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(/ b (* c d))
(* b (+ (/ 1 (* c d)) (/ a (* b (pow d 2)))))
(* b (+ (/ 1 (* c d)) (/ a (* b (pow d 2)))))
(* b (+ (/ 1 (* c d)) (/ a (* b (pow d 2)))))
(/ b (* c d))
(* -1 (* b (- (* -1 (/ a (* b (pow d 2)))) (/ 1 (* c d)))))
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(* -1 (* b (- (* -1 (/ a (* b (pow d 2)))) (/ 1 (* c d)))))
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(+ (/ a (pow d 2)) (/ b (* c d)))
(+ (/ a (pow d 2)) (/ b (* c d)))
(+ (/ a (pow d 2)) (/ b (* c d)))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ a (pow d 2))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
(/ b (* c d))
Outputs
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 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 a (/.f64 c (*.f64 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 a (/.f64 c (*.f64 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 a (/.f64 c (*.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))
(/ (+ (* 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 a (/.f64 c (*.f64 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 a (/.f64 c (*.f64 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)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ a c)
(/.f64 a c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ 1 c)
(/.f64 #s(literal 1 binary64) c)
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ c d)
(/.f64 c d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ a d)
(/.f64 a d)
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
(*.f64 a (/.f64 c (*.f64 d d)))
(/ (* a c) (pow d 2))
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(*.f64 d d)
(pow d 2)
(*.f64 d d)
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(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
(pow d 2)
(*.f64 d d)
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(/ b d)
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(* c (+ (/ a (pow d 2)) (/ b (* c d))))
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(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))
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(/ b d)
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(/.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 a (/.f64 c (*.f64 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))
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(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
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(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))
(/.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 a (/.f64 c (*.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))
(/ (+ (* 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))
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(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))
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(+ (/ b d) (/ (* a c) (pow d 2)))
(/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d)
(/ b d)
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(* 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 (* c d))
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(/ a (pow d 2))
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(* a (+ (/ 1 (pow d 2)) (/ b (* a (* c d)))))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(* a (+ (/ 1 (pow d 2)) (/ b (* a (* c d)))))
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(* a (+ (/ 1 (pow d 2)) (/ b (* a (* c d)))))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(/ a (pow d 2))
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(* -1 (* a (- (* -1 (/ b (* a (* c d)))) (/ 1 (pow d 2)))))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(* -1 (* a (- (* -1 (/ b (* a (* c d)))) (/ 1 (pow d 2)))))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(* -1 (* a (- (* -1 (/ b (* a (* c d)))) (/ 1 (pow d 2)))))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(/ a (pow d 2))
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(/ (+ a (/ (* b d) c)) (pow d 2))
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) (*.f64 d d))
(/ (+ a (/ (* b d) c)) (pow d 2))
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) (*.f64 d d))
(/ (+ a (/ (* b d) c)) (pow d 2))
(/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) (*.f64 d d))
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ (+ (/ a d) (/ b c)) d)
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(/ (+ (/ a d) (/ b c)) d)
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(/ (+ (/ a d) (/ b c)) d)
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) d))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
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(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(/ b (* c d))
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(* b (+ (/ 1 (* c d)) (/ a (* b (pow d 2)))))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(* b (+ (/ 1 (* c d)) (/ a (* b (pow d 2)))))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(* b (+ (/ 1 (* c d)) (/ a (* b (pow d 2)))))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(/ b (* c d))
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(* -1 (* b (- (* -1 (/ a (* b (pow d 2)))) (/ 1 (* c d)))))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(* -1 (* b (- (* -1 (/ a (* b (pow d 2)))) (/ 1 (* c d)))))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(* -1 (* b (- (* -1 (/ a (* b (pow d 2)))) (/ 1 (* c d)))))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ (+ (/ b d) (/ (* a c) (pow d 2))) c)
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) c)
(/ (+ (/ b d) (/ (* a c) (pow d 2))) c)
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) c)
(/ (+ (/ b d) (/ (* a c) (pow d 2))) c)
(/.f64 (/.f64 (+.f64 b (/.f64 (*.f64 a c) d)) d) c)
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(+ (/ a (pow d 2)) (/ b (* c d)))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(+ (/ a (pow d 2)) (/ b (* c d)))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(+ (/ a (pow d 2)) (/ b (* c d)))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(/ a (pow d 2))
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(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(+ (/ a (pow d 2)) (/ b (* c d)))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(+ (/ a (pow d 2)) (/ b (* c d)))
(/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d)
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
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(/.f64 a (*.f64 d d))
(/ a (pow d 2))
(/.f64 a (*.f64 d d))
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(/ a (pow d 2))
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(/.f64 a (*.f64 d d))
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(/.f64 a (*.f64 d d))
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(/.f64 a (*.f64 d d))
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(/.f64 a (*.f64 d d))
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(/.f64 a (*.f64 d d))
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(/.f64 a (*.f64 d d))
(/ a (pow d 2))
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(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
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(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)
(/ b (* c d))
(/.f64 (/.f64 b d) c)

eval193.0ms (2.2%)

Compiler

Compiled 23576 to 2526 computations (89.3% saved)

prune199.0ms (2.3%)

Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New159771604
Fresh31518
Picked325
Done134
Total1604271631
Accuracy
99.3%
Counts
1631 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.1%
(/.f64 (/.f64 (*.f64 a c) d) d)
20.1%
(/.f64 (/.f64 a d) (/.f64 d c))
51.8%
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d (*.f64 d (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d))))))
50.6%
(/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (*.f64 b (/.f64 c d)))) d)) d)
✓55.0%
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
27.7%
(/.f64 (+.f64 b (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d a)) #s(literal -1 binary64))) c)) d)
51.9%
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
39.8%
(/.f64 (+.f64 a (-.f64 (*.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)))) (*.f64 a (/.f64 (/.f64 (*.f64 d d) c) c)))) c)
20.4%
(/.f64 (*.f64 c (/.f64 a d)) d)
35.6%
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
23.1%
(/.f64 (*.f64 b d) (*.f64 c c))
21.5%
(/.f64 (*.f64 a (/.f64 (*.f64 b d) a)) (*.f64 c c))
18.2%
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 d c) (-.f64 #s(literal 0 binary64) d)))
✓45.1%
(/.f64 b d)
✓40.2%
(/.f64 a c)
44.7%
(/.f64 #s(literal 1 binary64) (/.f64 d b))
39.9%
(/.f64 #s(literal 1 binary64) (/.f64 c a))
✓20.1%
(*.f64 (/.f64 c d) (/.f64 a d))
9.1%
(*.f64 (/.f64 c d) (exp.f64 (*.f64 (log.f64 (/.f64 d a)) #s(literal -1 binary64))))
34.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 a c))
45.0%
(*.f64 (/.f64 #s(literal 1 binary64) d) b)
✓40.1%
(*.f64 (/.f64 #s(literal 1 binary64) c) a)
40.7%
(*.f64 (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))) c)
20.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) c) (/.f64 a d))
41.1%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (+.f64 (/.f64 a d) (/.f64 b c))) (-.f64 #s(literal 0 binary64) d))
43.5%
(*.f64 c (/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d))
23.3%
(*.f64 b (/.f64 d (*.f64 c c)))
Compiler

Compiled 932 to 395 computations (57.6% saved)

regimes74.0ms (0.9%)

Counts
49 → 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 b (/.f64 d (*.f64 c c)))
(*.f64 (/.f64 c d) (/.f64 a d))
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 (/.f64 a d) (/.f64 d c))
(/.f64 (/.f64 c d) (/.f64 d a))
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) c) (/.f64 a d))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) a))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
(*.f64 c (/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d))
(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
(/.f64 (*.f64 a (/.f64 (*.f64 b d) a)) (*.f64 c c))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal 1 binary64) d)))) d)
(/.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) d) c))) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 (/.f64 b c) d)))
(*.f64 (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))) c)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 a c))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 d c) (-.f64 #s(literal 0 binary64) d)))
(/.f64 (*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) (*.f64 c c))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (+.f64 (/.f64 a d) (/.f64 b c))) (-.f64 #s(literal 0 binary64) d))
(/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (*.f64 b (/.f64 c d)))) d)) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 a c) (*.f64 b d)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (+.f64 (*.f64 d b) (*.f64 c a)))
(/.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 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 b (*.f64 c c)) d)) d)) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d (*.f64 d (+.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d))))))
(*.f64 b (+.f64 (/.f64 d (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (/.f64 (*.f64 c a) b) (+.f64 (*.f64 c c) (*.f64 d d)))))
(/.f64 (+.f64 a (-.f64 (*.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)))) (*.f64 a (/.f64 (/.f64 (*.f64 d d) c) c)))) c)
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (/.f64 (*.f64 c a) d))) #s(literal -1 binary64)))
(*.f64 (/.f64 c d) (exp.f64 (*.f64 (log.f64 (/.f64 d a)) #s(literal -1 binary64))))
(/.f64 (+.f64 b (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 d a)) #s(literal -1 binary64))) c)) d)
Outputs
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) 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 (/.f64 a d) c)) d)
Calls

5 calls:

15.0ms
d
14.0ms
b
14.0ms
c
14.0ms
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
13.0ms
a
Results
AccuracySegmentsBranch
66.7%3a
66.8%4b
80.7%4c
86.3%5d
73.7%2(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes25.0ms (0.3%)

Counts
36 → 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 b (/.f64 d (*.f64 c c)))
(*.f64 (/.f64 c d) (/.f64 a d))
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 (/.f64 a d) (/.f64 d c))
(/.f64 (/.f64 c d) (/.f64 d a))
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) c) (/.f64 a d))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) a))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
(/.f64 (+.f64 b (/.f64 (*.f64 c a) d)) d)
(*.f64 c (/.f64 (+.f64 (/.f64 a d) (/.f64 b c)) d))
(+.f64 (/.f64 b d) (*.f64 a (/.f64 (/.f64 c d) d)))
(/.f64 (*.f64 a (/.f64 (*.f64 b d) a)) (*.f64 c c))
(/.f64 (*.f64 c a) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (+.f64 b (*.f64 a (*.f64 c (/.f64 #s(literal 1 binary64) d)))) d)
(/.f64 (+.f64 b (*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) d) c))) d)
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 c c))
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (*.f64 d d))
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 (/.f64 b c) d)))
(*.f64 (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c))) c)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d d))) (*.f64 a c))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) a)) (*.f64 (/.f64 d c) (-.f64 #s(literal 0 binary64) d)))
(/.f64 (*.f64 a (+.f64 c (/.f64 (*.f64 b d) a))) (*.f64 c c))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (+.f64 (/.f64 a d) (/.f64 b c))) (-.f64 #s(literal 0 binary64) d))
(/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (*.f64 b (/.f64 c d)))) d)) d)
Outputs
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)
Calls

2 calls:

13.0ms
c
10.0ms
d
Results
AccuracySegmentsBranch
78.4%3c
78.5%3d
Compiler

Compiled 10 to 8 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 b (/.f64 d (*.f64 c c)))
(*.f64 (/.f64 c d) (/.f64 a d))
(/.f64 (*.f64 a c) (*.f64 d d))
(/.f64 (*.f64 b d) (*.f64 c c))
(/.f64 (*.f64 c (/.f64 a d)) d)
(/.f64 (/.f64 a d) (/.f64 d c))
(/.f64 (/.f64 c d) (/.f64 d a))
(/.f64 (/.f64 c (/.f64 d a)) d)
(/.f64 (/.f64 (*.f64 a c) d) d)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) c) (/.f64 a d))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) a))
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
Outputs
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
(/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d)
(/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)
Calls

2 calls:

6.0ms
d
6.0ms
c
Results
AccuracySegmentsBranch
78.4%3c
78.2%3d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.2%)

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

2 calls:

6.0ms
c
5.0ms
d
Results
AccuracySegmentsBranch
74.1%3d
70.7%3c
Compiler

Compiled 10 to 8 computations (20% saved)

regimes18.0ms (0.2%)

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

3 calls:

6.0ms
c
5.0ms
a
5.0ms
d
Results
AccuracySegmentsBranch
53.9%3a
66.3%3c
63.4%3d
Compiler

Compiled 15 to 12 computations (20% saved)

regimes6.0ms (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:

2.0ms
b
1.0ms
a
1.0ms
c
1.0ms
d
Results
AccuracySegmentsBranch
40.2%1a
40.2%1d
40.2%1b
40.2%1c
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch63.0ms (0.7%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
5.438822276978494e+21
2.873906383507422e+25
16.0ms
8.407283746764599e-168
3.647163250634048e-164
12.0ms
-4.566096724592077e-111
-1.4449103909322662e-112
14.0ms
-4.161070122817234e+80
-1.4380564371703002e+79
Results
42.0ms480×0valid
Compiler

Compiled 1046 to 647 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 15.0ms (66% of total)
ival-add: 4.0ms (17.6% of total)
ival-div: 3.0ms (13.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
2.3444419869530975e+82
1.5716723416383058e+92
21.0ms
-6155129711871549000.0
-174785958186.54602
Results
29.0ms304×0valid
Compiler

Compiled 558 to 359 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 9.0ms (65.4% of total)
ival-add: 3.0ms (21.8% of total)
ival-div: 2.0ms (14.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch52.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
9.89857312758582e+30
2.0868148162843867e+37
16.0ms
-1.0894141998477682e+74
-4.123413087564454e+72
Results
23.0ms256×0valid
Compiler

Compiled 474 to 305 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (61.1% of total)
ival-div: 2.0ms (17.5% of total)
ival-add: 2.0ms (17.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch52.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
2.3444419869530975e+82
1.5716723416383058e+92
28.0ms
-6155129711871549000.0
-174785958186.54602
Results
38.0ms304×0valid
Compiler

Compiled 444 to 302 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 20.0ms (72.9% of total)
ival-div: 4.0ms (14.6% of total)
ival-add: 3.0ms (10.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
9.89857312758582e+30
2.0868148162843867e+37
13.0ms
-1.0894141998477682e+74
-4.123413087564454e+72
Results
22.0ms256×0valid
Compiler

Compiled 282 to 209 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (67.8% of total)
ival-div: 2.0ms (16.9% of total)
ival-add: 2.0ms (16.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×+-commutative_binary64
8×*-commutative_binary64
8×if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060166
181166
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 d #s(literal -400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d) (if (<=.f64 d #s(literal -4765526036770151/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 2269266326731793/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (if (<=.f64 d #s(literal 28000000000000001677721600 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)))))
(if (<=.f64 d #s(literal -270000000000 binary64)) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d) (if (<=.f64 d #s(literal 3900000000000000195094638335443280569478284898212663780208761513369936923829962518036480 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)))
(if (<=.f64 c #s(literal -4200000000000000273982121985105010362698231977509208540801700209339924480 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (if (<=.f64 c #s(literal 19000000000000000659282848645120 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)))
(if (<=.f64 d #s(literal -70000000000000000 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 23499999999999999308559385902274948112582630873265576025381007672932231285523349504 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (/.f64 b d)))
(if (<=.f64 c #s(literal -4300000000000000131050702618400825756196060757743560741717087250894815232 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 3200000000000000171717190540591104 binary64)) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)
Outputs
(if (<=.f64 d #s(literal -400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d) (if (<=.f64 d #s(literal -4765526036770151/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 2269266326731793/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (if (<=.f64 d #s(literal 28000000000000001677721600 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)))))
(if (<=.f64 d #s(literal -400000000000000000106439458833469106149609604724803236392527909813959035665252352 binary64)) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d) (if (<=.f64 d #s(literal -4765526036770151/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 2269266326731793/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c) (if (<=.f64 d #s(literal 28000000000000001677721600 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)))))
(if (<=.f64 d #s(literal -270000000000 binary64)) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d) (if (<=.f64 d #s(literal 3900000000000000195094638335443280569478284898212663780208761513369936923829962518036480 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)))
(if (<=.f64 d #s(literal -270000000000 binary64)) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d) (if (<=.f64 d #s(literal 3900000000000000195094638335443280569478284898212663780208761513369936923829962518036480 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c) (/.f64 (+.f64 b (*.f64 (/.f64 a d) c)) d)))
(if (<=.f64 c #s(literal -4200000000000000273982121985105010362698231977509208540801700209339924480 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (if (<=.f64 c #s(literal 19000000000000000659282848645120 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c)))
(if (<=.f64 c #s(literal -4200000000000000273982121985105010362698231977509208540801700209339924480 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c) (if (<=.f64 c #s(literal 19000000000000000659282848645120 binary64)) (/.f64 (+.f64 b (*.f64 a (/.f64 c d))) d) (/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c)))
(if (<=.f64 d #s(literal -70000000000000000 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 23499999999999999308559385902274948112582630873265576025381007672932231285523349504 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 b d) c)) c) (/.f64 b d)))
(if (<=.f64 d #s(literal -70000000000000000 binary64)) (/.f64 b d) (if (<=.f64 d #s(literal 23499999999999999308559385902274948112582630873265576025381007672932231285523349504 binary64)) (/.f64 (+.f64 a (/.f64 (*.f64 d b) c)) c) (/.f64 b d)))
(if (<=.f64 c #s(literal -4300000000000000131050702618400825756196060757743560741717087250894815232 binary64)) (/.f64 a c) (if (<=.f64 c #s(literal 3200000000000000171717190540591104 binary64)) (/.f64 b d) (/.f64 a c)))
(/.f64 a c)

soundness963.0ms (11.2%)

Rules
4248×*-lowering-*.f32
4248×*-lowering-*.f64
3542×/-lowering-/.f32
3542×/-lowering-/.f64
3168×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025149
1176146
21602146
08363146
01861554
16491434
221181394
372701394
087521394
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 348 to 160 computations (54% saved)

preprocess71.0ms (0.8%)

Compiler

Compiled 498 to 182 computations (63.5% saved)

end0.0ms (0%)

Profiling

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