Complex division, imag part

Time bar (total: 8.8s)

analyze47.0ms (0.5%)

Memory
8.9MiB live, 45.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
75%74.9%25%0.2%0%0%0%5
75%74.9%25%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
87.5%87.3%12.5%0.2%0%0%0%8
93.8%93.6%6.2%0.2%0%0%0%9
93.8%93.6%6.2%0.2%0%0%0%10
93.8%93.6%6.2%0.2%0%0%0%11
96.9%96.7%3.1%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (12.6%)

Memory
-14.5MiB live, 1 831.6MiB allocated
Samples
832.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 483.0ms
ival-mult: 327.0ms (67.7% of total)
ival-add: 53.0ms (11% of total)
ival-div: 51.0ms (10.6% of total)
ival-sub: 43.0ms (8.9% of total)
ival-true: 6.0ms (1.2% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess320.0ms (3.6%)

Memory
11.9MiB live, 125.5MiB allocated
Algorithm
egg-herbie
Rules
1 336×unsub-neg
1 022×div-sub
862×distribute-rgt-in
854×distribute-lft-in
752×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062229
1206229
2408229
3985229
42851229
54585229
65401229
75510229
85530229
95546229
105546229
116030229
126246229
136246229
146246229
156342229
166342229
176378229
186394229
196394229
01115
12215
24415
37415
413315
523215
637515
762415
8108515
9174915
10198515
11202515
12205315
13205315
0205314
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
Outputs
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
Call 2
Inputs
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
(/ (- (* b c) (* (neg a) d)) (+ (* c c) (* d d)))
(/ (- (* (neg b) c) (* a d)) (+ (* c c) (* d d)))
(/ (- (* b (neg c)) (* a d)) (+ (* (neg c) (neg c)) (* d d)))
(/ (- (* b c) (* a (neg d))) (+ (* c c) (* (neg d) (neg d))))
(neg (/ (- (* b c) (* (neg a) d)) (+ (* c c) (* d d))))
(neg (/ (- (* (neg b) c) (* a d)) (+ (* c c) (* d d))))
(neg (/ (- (* b (neg c)) (* a d)) (+ (* (neg c) (neg c)) (* d d))))
(neg (/ (- (* b c) (* a (neg d))) (+ (* c c) (* (neg d) (neg d)))))
(/ (- (* a c) (* b d)) (+ (* c c) (* d d)))
(/ (- (* b a) (* c d)) (+ (* a a) (* d d)))
(/ (- (* b c) (* d a)) (+ (* c c) (* a a)))
(/ (- (* c b) (* a d)) (+ (* b b) (* d d)))
(/ (- (* d c) (* a b)) (+ (* c c) (* b b)))
(/ (- (* b d) (* a c)) (+ (* d d) (* c c)))
Outputs
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
(/ (- (* b c) (* (neg a) d)) (+ (* c c) (* d d)))
(/ (+ (* b c) (* a d)) (+ (* c c) (* d d)))
(/ (- (* (neg b) c) (* a d)) (+ (* c c) (* d d)))
(/ (+ (* b c) (* a d)) (- (* d (neg d)) (* c c)))
(/ (- (* b (neg c)) (* a d)) (+ (* (neg c) (neg c)) (* d d)))
(/ (+ (* b c) (* a d)) (- (* d (neg d)) (* c c)))
(/ (- (* b c) (* a (neg d))) (+ (* c c) (* (neg d) (neg d))))
(/ (+ (* b c) (* a d)) (+ (* c c) (* d d)))
(neg (/ (- (* b c) (* (neg a) d)) (+ (* c c) (* d d))))
(/ (+ (* b c) (* a d)) (- (* d (neg d)) (* c c)))
(neg (/ (- (* (neg b) c) (* a d)) (+ (* c c) (* d d))))
(/ (+ (* b c) (* a d)) (+ (* c c) (* d d)))
(neg (/ (- (* b (neg c)) (* a d)) (+ (* (neg c) (neg c)) (* d d))))
(/ (+ (* b c) (* a d)) (+ (* c c) (* d d)))
(neg (/ (- (* b c) (* a (neg d))) (+ (* c c) (* (neg d) (neg d)))))
(/ (+ (* b c) (* a d)) (- (* d (neg d)) (* c c)))
(/ (- (* a c) (* b d)) (+ (* c c) (* d d)))
(/ (- (* c a) (* b d)) (+ (* c c) (* d d)))
(/ (- (* b a) (* c d)) (+ (* a a) (* d d)))
(/ (- (* b a) (* c d)) (+ (* d d) (* a a)))
(/ (- (* b c) (* d a)) (+ (* c c) (* a a)))
(/ (- (* b c) (* a d)) (+ (* c c) (* a a)))
(/ (- (* c b) (* a d)) (+ (* b b) (* d d)))
(/ (- (* b c) (* a d)) (+ (* d d) (* b b)))
(/ (- (* d c) (* a b)) (+ (* c c) (* b b)))
(/ (- (* c d) (* b a)) (+ (* c c) (* b b)))
(/ (- (* b d) (* a c)) (+ (* d d) (* c c)))
(/ (- (* b d) (* c a)) (+ (* c c) (* d d)))

explain134.0ms (1.5%)

Memory
7.2MiB live, 286.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
992(-1.4797014562532969e-149 4.3098248958112006e-144 -1.7690422302237029e-143 1.6010887133133626e+174)0-(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
20-0-(-.f64 (*.f64 b c) (*.f64 a d))
00-0-(+.f64 (*.f64 c c) (*.f64 d d))
00-0-a
00-0-d
00-0-(*.f64 d d)
00-0-(*.f64 c c)
00-0-(*.f64 b c)
00-0-c
00-0-(*.f64 a d)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/o490
(*.f64 b c)overflow24
(-.f64 (*.f64 b c) (*.f64 a d))overflow56
(*.f64 a d)overflow35
(+.f64 (*.f64 c c) (*.f64 d d))overflow111
(*.f64 c c)overflow59
(*.f64 d d)overflow68
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o370
(+.f64 (*.f64 c c) (*.f64 d d))overflow111
(*.f64 c c)overflow59
(*.f64 d d)overflow68
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n70
(*.f64 b c)overflow24
(-.f64 (*.f64 b c) (*.f64 a d))overflow56
(*.f64 a d)overflow35
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u40
(+.f64 (*.f64 c c) (*.f64 d d))underflow16
(*.f64 c c)underflow69
(*.f64 d d)underflow63
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/n30
(*.f64 b c)underflow27
(-.f64 (*.f64 b c) (*.f64 a d))underflow4
(*.f64 a d)underflow34
-.f64(-.f64 (*.f64 b c) (*.f64 a d))nan-rescue20
(*.f64 b c)overflow24
(*.f64 a d)overflow35
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u10
(*.f64 b c)underflow27
(-.f64 (*.f64 b c) (*.f64 a d))underflow4
(*.f64 a d)underflow34
(+.f64 (*.f64 c c) (*.f64 d d))underflow16
(*.f64 c c)underflow69
(*.f64 d d)underflow63
Confusion
Predicted +Predicted -
+990
-2155
Precision
0.9801980198019802
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+9900
-20155
Precision?
0.9801980198019802
Recall?
1.0
Freqs
test
numberfreq
0155
199
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms512×0valid
Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 15.0ms (61.3% of total)
ival-div: 3.0ms (12.3% of total)
ival-add: 3.0ms (12.3% of total)
ival-sub: 2.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.9%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify66.0ms (0.7%)

Memory
-20.4MiB live, 71.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b c)
cost-diff0
(-.f64 (*.f64 b c) (*.f64 a d))
cost-diff0
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff128
(+.f64 (*.f64 c c) (*.f64 d d))
Rules
752×accelerator-lowering-fma.f32
752×accelerator-lowering-fma.f64
636×times-frac
512×*-lowering-*.f32
512×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
12245
24445
37445
413345
523245
637545
762445
8108545
9174945
10198545
11202545
12205345
13205345
0205343
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
(- (* b c) (* a d))
(* b c)
b
c
(* a d)
a
d
(+ (* c c) (* d d))
(* c c)
(* d d)
Outputs
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(- (* b c) (* a d))
(-.f64 (*.f64 b c) (*.f64 a d))
(* b c)
(*.f64 b c)
b
c
(* a d)
(*.f64 a d)
a
d
(+ (* c c) (* d d))
(fma.f64 d d (*.f64 c c))
(* c c)
(*.f64 c c)
(* d d)
(*.f64 d d)

localize44.0ms (0.5%)

Memory
-3.1MiB live, 36.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 a d)
accuracy100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy99.2%
(-.f64 (*.f64 b c) (*.f64 a d))
accuracy63.2%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
19.0ms256×0valid
Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (58% of total)
ival-div: 2.0ms (19.3% of total)
ival-sub: 1.0ms (9.7% of total)
ival-add: 1.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
5 → 168
Calls
Call 1
Inputs
#<alt (+ (* c c) (* d d))>
#<alt (/ (- (* b c) (* a d)) (+ (* c c) (* d d)))>
#<alt (- (* b c) (* a d))>
#<alt (* b c)>
#<alt (* a d)>
Outputs
#<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 (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))>
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))>
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))>
#<alt (* -1 (/ a d))>
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))>
#<alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))>
#<alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))>
#<alt (/ b c)>
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)>
#<alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)>
#<alt (/ b c)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (/ b c)>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))>
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))>
#<alt (* -1 (/ a d))>
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)>
#<alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)>
#<alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))>
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))>
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))>
#<alt (* -1 (* a d))>
#<alt (- (* b c) (* a d))>
#<alt (- (* b c) (* a d))>
#<alt (- (* b c) (* a d))>
#<alt (* b c)>
#<alt (* b (+ c (* -1 (/ (* a d) b))))>
#<alt (* b (+ c (* -1 (/ (* a d) b))))>
#<alt (* b (+ c (* -1 (/ (* a d) b))))>
#<alt (* b c)>
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))>
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))>
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))>
#<alt (* -1 (* a d))>
#<alt (- (* b c) (* a d))>
#<alt (- (* b c) (* a d))>
#<alt (- (* b c) (* a d))>
#<alt (* b c)>
#<alt (* c (+ b (* -1 (/ (* a d) c))))>
#<alt (* c (+ b (* -1 (/ (* a d) c))))>
#<alt (* c (+ b (* -1 (/ (* a d) c))))>
#<alt (* b c)>
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))>
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))>
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))>
#<alt (* b c)>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (* -1 (* a d))>
#<alt (* a (- (/ (* b c) a) d))>
#<alt (* a (- (/ (* b c) a) d))>
#<alt (* a (- (/ (* b c) a) d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))>
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))>
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))>
#<alt (* b c)>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (* -1 (* a d))>
#<alt (* d (- (/ (* b c) d) a))>
#<alt (* d (- (/ (* b c) d) a))>
#<alt (* d (- (/ (* b c) d) a))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))>
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))>
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* a 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)>
Calls

42 calls:

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

rewrite375.0ms (4.3%)

Memory
24.7MiB live, 490.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 586×accelerator-lowering-fma.f32
5 586×accelerator-lowering-fma.f64
5 346×*-lowering-*.f32
5 346×*-lowering-*.f64
3 234×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
15835
249835
3638635
0818833
Stop Event
iter limit
node limit
Counts
5 → 478
Calls
Call 1
Inputs
(+ (* c c) (* d d))
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))
(- (* b c) (* a d))
(* b c)
(* a d)
Outputs
(+.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 d d) (*.f64 c c))
(+.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(+.f64 (neg.f64 (neg.f64 (*.f64 d d))) (neg.f64 (neg.f64 (*.f64 c c))))
(+.f64 (neg.f64 (neg.f64 (*.f64 c c))) (neg.f64 (neg.f64 (*.f64 d d))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d))))
(-.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 d c))))
(fma.f64 c c (*.f64 d d))
(fma.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 d d (*.f64 c c))
(fma.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (*.f64 c (*.f64 c c)) (/.f64 c (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c))
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d))
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (*.f64 c (*.f64 c c)) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c c) (+.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 c c (*.f64 d d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (fma.f64 c c (*.f64 d d)))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(neg.f64 (neg.f64 (fma.f64 c c (*.f64 d d))))
(/.f64 (fma.f64 c c (*.f64 d d)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))
(/.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))))
(/.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 d c)))))
(/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (+.f64 c d) (-.f64 c d)))
(/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))))
(/.f64 (neg.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (neg.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))))) (*.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (fma.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 c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))))))
(/.f64 (*.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (*.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))))
(/.f64 (*.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 c (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c))))))))
(/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 d c))) (*.f64 (+.f64 c d) (-.f64 d c)))
(/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 d c))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 d c))))
(/.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c))))))
(/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (*.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) #s(literal 1 binary64)) (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))
(/.f64 (*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (*.f64 (+.f64 c d) (-.f64 c d)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))))) #s(literal 1 binary64)) (*.f64 (fma.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 c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d)))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) #s(literal 1 binary64)) (*.f64 (fma.f64 c (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (*.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))))) (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (+.f64 c d) (-.f64 c d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 d c)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 d c))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (fma.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) (fma.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))) (fma.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 c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d d) (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 c (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c (*.f64 c c)))))
(/.f64 (/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))) (+.f64 c d)) (-.f64 c d))
(pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal 1 binary64))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 b b))) (fma.f64 d a (*.f64 c b))) (/.f64 (*.f64 c (*.f64 c (*.f64 b b))) (fma.f64 d a (*.f64 c b)))) (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 a a))) (fma.f64 d a (*.f64 c b))) (/.f64 (*.f64 d (*.f64 d (*.f64 a a))) (fma.f64 d a (*.f64 c b))))) (fma.f64 (*.f64 c (*.f64 b b)) (/.f64 c (fma.f64 d a (*.f64 c b))) (/.f64 (*.f64 d (*.f64 d (*.f64 a a))) (fma.f64 d a (*.f64 c b)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a)))) (*.f64 (*.f64 d a) (*.f64 (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))) (*.f64 c (*.f64 c (*.f64 b b)))))) (fma.f64 (*.f64 c b) (*.f64 (*.f64 c (*.f64 c (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a)))) (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))) (*.f64 c (*.f64 c (*.f64 b b)))))) (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 d a (*.f64 c b)))) (fma.f64 c (*.f64 (*.f64 c (*.f64 b b)) (*.f64 c (*.f64 c (*.f64 b b)))) (*.f64 (*.f64 d (*.f64 d (*.f64 a a))) (fma.f64 c (*.f64 c (*.f64 b b)) (*.f64 d (*.f64 d (*.f64 a a)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 c (*.f64 c (*.f64 b b)) (*.f64 d (*.f64 d (*.f64 a a)))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 d a (*.f64 c b)))) (/.f64 #s(literal 1 binary64) (fma.f64 d a (*.f64 c b)))) (fma.f64 c (*.f64 c (*.f64 b b)) (*.f64 d (*.f64 d (*.f64 a a)))))
(pow.f64 (-.f64 (*.f64 c b) (*.f64 d a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 d a)) (-.f64 (neg.f64 (*.f64 d a)) (*.f64 c b)) (*.f64 c (*.f64 c (*.f64 b b)))) (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))) (*.f64 c (*.f64 c (*.f64 b b))))))
(*.f64 (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 d a)) (-.f64 (neg.f64 (*.f64 d a)) (*.f64 c b)) (*.f64 c (*.f64 c (*.f64 b b))))))
(*.f64 (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))) (*.f64 c (*.f64 c (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (fma.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))) (*.f64 c (*.f64 c (*.f64 b b)))) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))) (*.f64 c (*.f64 c (*.f64 b b))))))
(*.f64 (fma.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))) (*.f64 c (*.f64 c (*.f64 b b)))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))) (*.f64 c (*.f64 c (*.f64 b b)))))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a)))
(*.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 d a (*.f64 c b))) (/.f64 #s(literal 1 binary64) (fma.f64 d a (*.f64 c b))))
(*.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 d a (*.f64 c b))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d a (*.f64 c b))) #s(literal 1 binary64)))
(*.f64 (fma.f64 d a (*.f64 c b)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 d a (*.f64 c b))))
(*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (/.f64 #s(literal 1 binary64) (fma.f64 d a (*.f64 c b)))))
(*.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a)))
(*.f64 (neg.f64 (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))) (*.f64 c (*.f64 c (*.f64 b b)))))))
(*.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 c (neg.f64 b) (*.f64 d a))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d a (*.f64 c b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))) (*.f64 c (*.f64 c (*.f64 b b))))) (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d a (*.f64 c b))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 d a (*.f64 c b))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 d a (*.f64 c b))) (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))))) (fma.f64 c (*.f64 c (*.f64 b b)) (*.f64 (*.f64 d a) (fma.f64 c (neg.f64 b) (*.f64 d a)))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 d a (*.f64 c b))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 d a (*.f64 c b)))) (-.f64 (*.f64 c b) (*.f64 d a)))
(*.f64 (/.f64 (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 c b) (*.f64 (*.f64 c (*.f64 c (*.f64 b b))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 d (*.f64 a (fma.f64 d a (*.f64 c b)))) (*.f64 (*.f64 d a) (*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))))))))) (fma.f64 (*.f64 d (*.f64 a (fma.f64 d a (*.f64 c b)))) (-.f64 (*.f64 d (*.f64 a (fma.f64 d a (*.f64 c b)))) (*.f64 c (*.f64 c (*.f64 b b)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c (*.f64 b b)) (*.f64 c (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 (*.f64 d a) (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))) (*.f64 c (*.f64 c (*.f64 b b)))) (-.f64 (*.f64 c (*.f64 c (*.f64 b b))) (*.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))))))) (-.f64 (*.f64 c (*.f64 c (*.f64 b b))) (*.f64 d (*.f64 a (fma.f64 d a (*.f64 c b))))))
(*.f64 c b)
(*.f64 b c)
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 d a)))
(neg.f64 (neg.f64 (*.f64 d a)))
(*.f64 d a)
(*.f64 d (neg.f64 (neg.f64 a)))
(*.f64 a d)
(*.f64 a (neg.f64 (neg.f64 d)))
(*.f64 #s(literal 1 binary64) (*.f64 d a))
(*.f64 (neg.f64 a) (neg.f64 d))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 d a)))
(*.f64 (neg.f64 d) (neg.f64 a))
(*.f64 (neg.f64 (neg.f64 a)) d)
(*.f64 (neg.f64 (neg.f64 d)) a)

simplify295.0ms (3.3%)

Memory
-17.9MiB live, 487.3MiB allocated
Algorithm
egg-herbie
Rules
7 930×accelerator-lowering-fma.f32
7 930×accelerator-lowering-fma.f64
3 586×*-lowering-*.f32
3 586×*-lowering-*.f64
2 316×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911511
16231461
218631441
354841432
084871356
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(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))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(* b c)
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(* b c)
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* a (- (/ (* b c) a) d))
(* a (- (/ (* b c) a) d))
(* a (- (/ (* b c) a) d))
(* -1 (* a d))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* d (- (/ (* b c) d) a))
(* d (- (/ (* b c) d) a))
(* d (- (/ (* b c) d) a))
(* -1 (* a d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* a 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)
Outputs
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 d d (*.f64 c c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(+ (pow c 2) (pow d 2))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 d d (*.f64 c c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d d))) (/.f64 (*.f64 c b) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (fma.f64 a (/.f64 (*.f64 d (*.f64 d (neg.f64 d))) c) (*.f64 (*.f64 d d) b)) c)) c)) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (fma.f64 a (/.f64 (*.f64 d (*.f64 d (neg.f64 d))) c) (*.f64 (*.f64 d d) b)) c)) c)) c)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 (*.f64 d d) (fma.f64 d (/.f64 a (pow.f64 c #s(literal 4 binary64))) (/.f64 (neg.f64 b) (*.f64 c (*.f64 c c)))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (-.f64 (*.f64 c (*.f64 c a)) (*.f64 c (/.f64 (*.f64 (*.f64 c c) b) d))) d)) d) a) d)
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d)
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (-.f64 (*.f64 c (*.f64 c a)) (*.f64 c (/.f64 (*.f64 (*.f64 c c) b) d))) d)) d) a) d)
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(- (* b c) (* a d))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(- (* b c) (* a d))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(- (* b c) (* a d))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b c)
(*.f64 c b)
(* b (+ c (* -1 (/ (* a d) b))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b (+ c (* -1 (/ (* a d) b))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b (+ c (* -1 (/ (* a d) b))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b c)
(*.f64 c b)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(- (* b c) (* a d))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(- (* b c) (* a d))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(- (* b c) (* a d))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b c)
(*.f64 c b)
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b c)
(*.f64 c b)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* b c)
(*.f64 c b)
(+ (* -1 (* a d)) (* b c))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(* a (- (/ (* b c) a) d))
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d))
(* a (- (/ (* b c) a) d))
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d))
(* a (- (/ (* b c) a) d))
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d))
(* b c)
(*.f64 c b)
(+ (* -1 (* a d)) (* b c))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 d (neg.f64 a) (*.f64 c b))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(* d (- (/ (* b c) d) a))
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
(* d (- (/ (* b c) d) a))
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
(* d (- (/ (* b c) d) a))
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* b c)
(*.f64 c b)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)
(* a d)
(*.f64 d a)

eval93.0ms (1.1%)

Memory
29.0MiB live, 104.1MiB allocated
Compiler

Compiled 24 381 to 1 319 computations (94.6% saved)

prune98.0ms (1.1%)

Memory
-31.0MiB live, 163.9MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New62917646
Fresh000
Picked101
Done000
Total63017647
Accuracy
98.9%
Counts
647 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(fma.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b (neg.f64 (/.f64 (*.f64 d a) (fma.f64 c c (*.f64 d d)))))
59.8%
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))))
62.9%
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))))
55.5%
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
62.9%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
37.9%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
35.8%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
51.1%
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
55.7%
(/.f64 (*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) (+.f64 (*.f64 c c) (*.f64 d d)))
37.3%
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
42.8%
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
37.3%
(/.f64 (*.f64 a (neg.f64 d)) (+.f64 (*.f64 c c) (*.f64 d d)))
40.8%
(/.f64 b c)
42.0%
(/.f64 a (neg.f64 d))
62.8%
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c (neg.f64 b) (*.f64 d a))))
62.8%
(*.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))))
52.4%
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
Compiler

Compiled 594 to 326 computations (45.1% saved)

simplify226.0ms (2.6%)

Memory
0.7MiB live, 270.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 c (/.f64 b d) (neg.f64 a))
cost-diff0
(/.f64 (*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff128
(+.f64 (*.f64 c c) (*.f64 d d))
cost-diff704
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
cost-diff0
(neg.f64 d)
cost-diff0
(*.f64 a (neg.f64 d))
cost-diff0
(/.f64 (*.f64 a (neg.f64 d)) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff128
(+.f64 (*.f64 c c) (*.f64 d d))
cost-diff0
(*.f64 a d)
cost-diff0
(*.f64 b c)
cost-diff0
(-.f64 (*.f64 b c) (*.f64 a d))
cost-diff0
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
cost-diff0
(/.f64 b c)
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(/.f64 d (fma.f64 c c (*.f64 d d)))
cost-diff0
(neg.f64 a)
cost-diff1408
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))))
Rules
4 914×accelerator-lowering-fma.f32
4 914×accelerator-lowering-fma.f64
3 802×*-lowering-*.f32
3 802×*-lowering-*.f64
2 922×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026193
168191
2144191
3294173
4569173
51570173
64332173
77963173
08003165
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (neg a) (/ d (+ (* c c) (* d d)))) (/ (* c b) (+ (* c c) (* d d))))
(neg a)
a
(/ d (+ (* c c) (* d d)))
d
(+ (* c c) (* d d))
c
(* d d)
(/ (* c b) (+ (* c c) (* d d)))
(* c b)
b
(/ b c)
b
c
(/ (- (* b c) (* a d)) (* c c))
(- (* b c) (* a d))
(* b c)
b
c
(* a d)
a
d
(* c c)
(/ (* a (neg d)) (+ (* c c) (* d d)))
(* a (neg d))
a
(neg d)
d
(+ (* c c) (* d d))
(* c c)
c
(* d d)
(/ (* d (+ (* c (/ b d)) (neg a))) (+ (* c c) (* d d)))
(* d (+ (* c (/ b d)) (neg a)))
d
(+ (* c (/ b d)) (neg a))
c
(/ b d)
b
(neg a)
a
(+ (* c c) (* d d))
(* c c)
(* d d)
Outputs
(+ (* (neg a) (/ d (+ (* c c) (* d d)))) (/ (* c b) (+ (* c c) (* d d))))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(neg a)
(neg.f64 a)
a
(/ d (+ (* c c) (* d d)))
(/.f64 d (fma.f64 d d (*.f64 c c)))
d
(+ (* c c) (* d d))
(fma.f64 d d (*.f64 c c))
c
(* d d)
(*.f64 d d)
(/ (* c b) (+ (* c c) (* d d)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(* c b)
(*.f64 c b)
b
(/ b c)
(/.f64 b c)
b
c
(/ (- (* b c) (* a d)) (* c c))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (*.f64 c c))
(- (* b c) (* a d))
(-.f64 (*.f64 c b) (*.f64 a d))
(* b c)
(*.f64 c b)
b
c
(* a d)
(*.f64 a d)
a
d
(* c c)
(*.f64 c c)
(/ (* a (neg d)) (+ (* c c) (* d d)))
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c)))
(* a (neg d))
(*.f64 a (neg.f64 d))
a
(neg d)
(neg.f64 d)
d
(+ (* c c) (* d d))
(fma.f64 d d (*.f64 c c))
(* c c)
(*.f64 c c)
c
(* d d)
(*.f64 d d)
(/ (* d (+ (* c (/ b d)) (neg a))) (+ (* c c) (* d d)))
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(* d (+ (* c (/ b d)) (neg a)))
(-.f64 (*.f64 c b) (*.f64 a d))
d
(+ (* c (/ b d)) (neg a))
(fma.f64 c (/.f64 b d) (neg.f64 a))
c
(/ b d)
(/.f64 b d)
b
(neg a)
(neg.f64 a)
a
(+ (* c c) (* d d))
(fma.f64 d d (*.f64 c c))
(* c c)
(*.f64 c c)
(* d d)
(*.f64 d d)

localize86.0ms (1%)

Memory
1.2MiB live, 157.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy93.9%
(fma.f64 c (/.f64 b d) (neg.f64 a))
accuracy90.7%
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a)))
accuracy63.2%
(/.f64 (*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) (+.f64 (*.f64 c c) (*.f64 d d)))
accuracy100.0%
(*.f64 a (neg.f64 d))
accuracy100.0%
(neg.f64 d)
accuracy100.0%
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy68.8%
(/.f64 (*.f64 a (neg.f64 d)) (+.f64 (*.f64 c c) (*.f64 d d)))
accuracy100.0%
(*.f64 b c)
accuracy100.0%
(*.f64 a d)
accuracy99.2%
(-.f64 (*.f64 b c) (*.f64 a d))
accuracy72.7%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
accuracy100.0%
(/.f64 b c)
accuracy100.0%
(fma.f64 c c (*.f64 d d))
accuracy96.9%
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))))
accuracy77.6%
(/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))
accuracy68.9%
(/.f64 d (fma.f64 c c (*.f64 d d)))
Samples
51.0ms256×0valid
Compiler

Compiled 184 to 28 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 13.0ms (41.1% of total)
ival-div: 12.0ms (37.9% of total)
ival-add: 3.0ms (9.5% of total)
ival-neg: 2.0ms (6.3% of total)
ival-sub: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
-7.1MiB live, 69.9MiB allocated
Counts
17 → 552
Calls
Call 1
Inputs
#<alt (+ (* (neg a) (/ d (+ (* c c) (* d d)))) (/ (* c b) (+ (* c c) (* d d))))>
#<alt (neg a)>
#<alt (/ d (+ (* c c) (* d d)))>
#<alt (+ (* c c) (* d d))>
#<alt (/ b c)>
#<alt (/ (- (* b c) (* a d)) (* c c))>
#<alt (- (* b c) (* a d))>
#<alt (* b c)>
#<alt (* a d)>
#<alt (+ (* c c) (* d d))>
#<alt (/ (* a (neg d)) (+ (* c c) (* d d)))>
#<alt (* a (neg d))>
#<alt (neg d)>
#<alt (* d (+ (* c (/ b d)) (neg a)))>
#<alt (/ (* d (+ (* c (/ b d)) (neg a))) (+ (* c c) (* d d)))>
#<alt (+ (* c (/ b d)) (neg a))>
#<alt (/ (* c b) (+ (* c c) (* d d)))>
Outputs
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (/ b c)>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))>
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))>
#<alt (* -1 (/ a d))>
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)>
#<alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)>
#<alt (/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d)>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))>
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))>
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))>
#<alt (* -1 (/ a d))>
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))>
#<alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))>
#<alt (+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2)))))>
#<alt (/ b c)>
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)>
#<alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)>
#<alt (/ b c)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))>
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))>
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (/ d (pow c 2))>
#<alt (* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))>
#<alt (* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))>
#<alt (/ 1 d)>
#<alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)>
#<alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)>
#<alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)>
#<alt (/ 1 d)>
#<alt (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))>
#<alt (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))>
#<alt (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))>
#<alt (/ 1 d)>
#<alt (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))>
#<alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))>
#<alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))>
#<alt (/ d (pow c 2))>
#<alt (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))>
#<alt (/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))>
#<alt (/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (/ b c)>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (/ b c)>
#<alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))>
#<alt (/ b c)>
#<alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))>
#<alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))>
#<alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2))>
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2))>
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2))>
#<alt (/ b c)>
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)>
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)>
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)>
#<alt (/ b c)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))>
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))>
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))>
#<alt (/ b c)>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))>
#<alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))>
#<alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))>
#<alt (/ b c)>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))>
#<alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))>
#<alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))>
#<alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))>
#<alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))>
#<alt (* -1 (* a d))>
#<alt (- (* b c) (* a d))>
#<alt (- (* b c) (* a d))>
#<alt (- (* b c) (* a d))>
#<alt (* b c)>
#<alt (* b (+ c (* -1 (/ (* a d) b))))>
#<alt (* b (+ c (* -1 (/ (* a d) b))))>
#<alt (* b (+ c (* -1 (/ (* a d) b))))>
#<alt (* b c)>
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))>
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))>
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))>
#<alt (* -1 (* a d))>
#<alt (- (* b c) (* a d))>
#<alt (- (* b c) (* a d))>
#<alt (- (* b c) (* a d))>
#<alt (* b c)>
#<alt (* c (+ b (* -1 (/ (* a d) c))))>
#<alt (* c (+ b (* -1 (/ (* a d) c))))>
#<alt (* c (+ b (* -1 (/ (* a d) c))))>
#<alt (* b c)>
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))>
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))>
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))>
#<alt (* b c)>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (* -1 (* a d))>
#<alt (* a (- (/ (* b c) a) d))>
#<alt (* a (- (/ (* b c) a) d))>
#<alt (* a (- (/ (* b c) a) d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))>
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))>
#<alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))>
#<alt (* b c)>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (* -1 (* a d))>
#<alt (* d (- (/ (* b c) d) a))>
#<alt (* d (- (/ (* b c) d) a))>
#<alt (* d (- (/ (* b c) d) a))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))>
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))>
#<alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* b c)>
#<alt (* a 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 (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 (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4))))>
#<alt (* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4))))))>
#<alt (* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4))))))>
#<alt (* -1 (/ a d))>
#<alt (/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d)>
#<alt (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)>
#<alt (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d)>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d))>
#<alt (* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d))>
#<alt (* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d))>
#<alt (* -1 (/ a d))>
#<alt (+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3)))>
#<alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3)))))>
#<alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3)))))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2))>
#<alt (/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2))>
#<alt (/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2))>
#<alt (/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2))>
#<alt (/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a d))>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* -1 d)>
#<alt (* b c)>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (* -1 (* a d))>
#<alt (* d (+ (* -1 a) (/ (* b c) d)))>
#<alt (* d (+ (* -1 a) (/ (* b c) d)))>
#<alt (* d (+ (* -1 a) (/ (* b c) d)))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* d (+ a (* -1 (/ (* b c) d)))))>
#<alt (* -1 (* d (+ a (* -1 (/ (* b c) d)))))>
#<alt (* -1 (* d (+ a (* -1 (/ (* b c) d)))))>
#<alt (* -1 (* a d))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (* b c)>
#<alt (* c (+ b (* -1 (/ (* a d) c))))>
#<alt (* c (+ b (* -1 (/ (* a d) c))))>
#<alt (* c (+ b (* -1 (/ (* a d) c))))>
#<alt (* b c)>
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))>
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))>
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))>
#<alt (* -1 (* a d))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (* b c)>
#<alt (* b (+ c (* -1 (/ (* a d) b))))>
#<alt (* b (+ c (* -1 (/ (* a d) b))))>
#<alt (* b (+ c (* -1 (/ (* a d) b))))>
#<alt (* b c)>
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))>
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))>
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))>
#<alt (* b c)>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (* -1 (* a d))>
#<alt (* a (+ (* -1 d) (/ (* b c) a)))>
#<alt (* a (+ (* -1 d) (/ (* b c) a)))>
#<alt (* a (+ (* -1 d) (/ (* b c) a)))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a (+ d (* -1 (/ (* b c) a)))))>
#<alt (* -1 (* a (+ d (* -1 (/ (* b c) a)))))>
#<alt (* -1 (* a (+ d (* -1 (/ (* b c) a)))))>
#<alt (/ b c)>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))>
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))>
#<alt (* -1 (/ a d))>
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)>
#<alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)>
#<alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))>
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))>
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) d))>
#<alt (* -1 (/ a d))>
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))>
#<alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))>
#<alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))>
#<alt (/ b c)>
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)>
#<alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)>
#<alt (/ b c)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))>
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))>
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 a)>
#<alt (- (/ (* b c) d) a)>
#<alt (- (/ (* b c) d) a)>
#<alt (- (/ (* b c) d) a)>
#<alt (/ (* b c) d)>
#<alt (* c (+ (* -1 (/ a c)) (/ b d)))>
#<alt (* c (+ (* -1 (/ a c)) (/ b d)))>
#<alt (* c (+ (* -1 (/ a c)) (/ b d)))>
#<alt (/ (* b c) d)>
#<alt (* -1 (* c (+ (* -1 (/ b d)) (/ a c))))>
#<alt (* -1 (* c (+ (* -1 (/ b d)) (/ a c))))>
#<alt (* -1 (* c (+ (* -1 (/ b d)) (/ a c))))>
#<alt (* -1 a)>
#<alt (- (/ (* b c) d) a)>
#<alt (- (/ (* b c) d) a)>
#<alt (- (/ (* b c) d) a)>
#<alt (/ (* b c) d)>
#<alt (* b (+ (* -1 (/ a b)) (/ c d)))>
#<alt (* b (+ (* -1 (/ a b)) (/ c d)))>
#<alt (* b (+ (* -1 (/ a b)) (/ c d)))>
#<alt (/ (* b c) d)>
#<alt (* -1 (* b (+ (* -1 (/ c d)) (/ a b))))>
#<alt (* -1 (* b (+ (* -1 (/ c d)) (/ a b))))>
#<alt (* -1 (* b (+ (* -1 (/ c d)) (/ a b))))>
#<alt (/ (* b c) d)>
#<alt (/ (+ (* -1 (* a d)) (* b c)) d)>
#<alt (/ (+ (* -1 (* a d)) (* b c)) d)>
#<alt (/ (+ (* -1 (* a d)) (* b c)) d)>
#<alt (* -1 a)>
#<alt (- (/ (* b c) d) a)>
#<alt (- (/ (* b c) d) a)>
#<alt (- (/ (* b c) d) a)>
#<alt (* -1 a)>
#<alt (- (/ (* b c) d) a)>
#<alt (- (/ (* b c) d) a)>
#<alt (- (/ (* b c) d) a)>
#<alt (/ (* b c) d)>
#<alt (+ (* -1 a) (/ (* b c) d))>
#<alt (+ (* -1 a) (/ (* b c) d))>
#<alt (+ (* -1 a) (/ (* b c) d))>
#<alt (* -1 a)>
#<alt (* a (- (/ (* b c) (* a d)) 1))>
#<alt (* a (- (/ (* b c) (* a d)) 1))>
#<alt (* a (- (/ (* b c) (* a d)) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))>
#<alt (/ (* b c) (pow d 2))>
#<alt (* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))))>
#<alt (/ b c)>
#<alt (/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c)>
#<alt (/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c)>
#<alt (/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)>
#<alt (/ b c)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c))>
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c))>
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ b c)>
#<alt (+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c))>
#<alt (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c))>
#<alt (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c))>
#<alt (/ (* b c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))>
#<alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))>
#<alt (/ (* b c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))>
#<alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))>
Calls

138 calls:

TimeVariablePointExpression
9.0ms
c
@0
(/ (- (* b c) (* a d)) (* c c))
1.0ms
b
@-inf
(* d (+ (* c (/ b d)) (neg a)))
1.0ms
a
@0
(+ (* (neg a) (/ d (+ (* c c) (* d d)))) (/ (* c b) (+ (* c c) (* d d))))
1.0ms
b
@0
(+ (* (neg a) (/ d (+ (* c c) (* d d)))) (/ (* c b) (+ (* c c) (* d d))))
1.0ms
d
@-inf
(* d (+ (* c (/ b d)) (neg a)))

rewrite421.0ms (4.8%)

Memory
11.3MiB live, 608.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 798×accelerator-lowering-fma.f32
5 798×accelerator-lowering-fma.f64
4 856×/-lowering-/.f32
4 856×/-lowering-/.f64
4 684×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026138
1164137
21407129
08277122
Stop Event
iter limit
node limit
Counts
17 → 794
Calls
Call 1
Inputs
(+ (* (neg a) (/ d (+ (* c c) (* d d)))) (/ (* c b) (+ (* c c) (* d d))))
(neg a)
(/ d (+ (* c c) (* d d)))
(+ (* c c) (* d d))
(/ b c)
(/ (- (* b c) (* a d)) (* c c))
(- (* b c) (* a d))
(* b c)
(* a d)
(+ (* c c) (* d d))
(/ (* a (neg d)) (+ (* c c) (* d d)))
(* a (neg d))
(neg d)
(* d (+ (* c (/ b d)) (neg a)))
(/ (* d (+ (* c (/ b d)) (neg a))) (+ (* c c) (* d d)))
(+ (* c (/ b d)) (neg a))
(/ (* c b) (+ (* c c) (* d d)))
Outputs
(+.f64 (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(+.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 a (neg.f64 d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 a (neg.f64 d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 c b) (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 c b) (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))))
(fma.f64 a (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 a)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 c (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 b (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c))))
(fma.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 a d) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (neg.f64 d) (*.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
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(/.f64 (fma.f64 (*.f64 c b) (+.f64 #s(literal 0 binary64) a) (*.f64 d (-.f64 #s(literal 0 binary64) (*.f64 a a)))) (*.f64 d (+.f64 #s(literal 0 binary64) a)))
(/.f64 (fma.f64 (neg.f64 (*.f64 c b)) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (*.f64 (neg.f64 d) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (neg.f64 d) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 c b)) (+.f64 #s(literal 0 binary64) a) (*.f64 (neg.f64 d) (-.f64 #s(literal 0 binary64) (*.f64 a a)))) (*.f64 (neg.f64 d) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (*.f64 (/.f64 d (*.f64 c b)) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 d (*.f64 c b)) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a) (*.f64 (/.f64 d (*.f64 c b)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))) (*.f64 (/.f64 d (*.f64 c b)) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (*.f64 (/.f64 d b) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 d b) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (fma.f64 (*.f64 c #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) a) (*.f64 (/.f64 d b) (-.f64 #s(literal 0 binary64) (*.f64 a a)))) (*.f64 (/.f64 d b) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) c) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (*.f64 (/.f64 d b) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 d b) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) c) (+.f64 #s(literal 0 binary64) a) (*.f64 (/.f64 d b) (-.f64 #s(literal 0 binary64) (*.f64 a a)))) (*.f64 (/.f64 d b) (+.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a))) (*.f64 (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a)) (*.f64 a a))) (*.f64 (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a)) (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 c b) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d d))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d d)) (*.f64 a a)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a a)))) (neg.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d d)) (fma.f64 a a (*.f64 (/.f64 (*.f64 c b) d) a)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d d)))) (neg.f64 (-.f64 (neg.f64 a) (/.f64 (*.f64 c b) d))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 a (/.f64 (*.f64 c b) d)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (-.f64 a (/.f64 (*.f64 c b) d)) (*.f64 #s(literal 0 binary64) (-.f64 a (/.f64 (*.f64 c b) d))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a))) (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a))) (fma.f64 (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a))) (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a))) (*.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a))) (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 c (/.f64 b d) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 a (*.f64 a a))) (fma.f64 (fma.f64 c (/.f64 b d) #s(literal 0 binary64)) (fma.f64 c (/.f64 b d) #s(literal 0 binary64)) (fma.f64 a a (*.f64 (fma.f64 c (/.f64 b d) #s(literal 0 binary64)) a))))
(pow.f64 (/.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 c b) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d d))) (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a)) (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d d)) (*.f64 a a))) #s(literal -1 binary64))
(*.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 c b) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d d)))))
(*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d d)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(neg.f64 (/.f64 (*.f64 c b) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 c b)) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(/.f64 (neg.f64 (*.f64 c b)) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c b)) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 c b) #s(literal 1 binary64)) (fma.f64 d d (*.f64 c c)))
(/.f64 (neg.f64 (neg.f64 (*.f64 c b))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))))
(/.f64 (neg.f64 (*.f64 (*.f64 c b) #s(literal 1 binary64))) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 c b)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))))
(pow.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 c (/.f64 b (fma.f64 d d (*.f64 c c))))
(*.f64 b (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))
(*.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
(*.f64 (neg.f64 (*.f64 c b)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c b))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c b)) #s(literal -1 binary64)))
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) c)
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 c (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 b (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))))
(*.f64 (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (/.f64 (*.f64 c b) (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))
(*.f64 (/.f64 (*.f64 c b) (fma.f64 (*.f64 c c) (*.f64 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 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))))
(*.f64 (/.f64 (*.f64 c b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d)))
(*.f64 (/.f64 (*.f64 c b) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 b) (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 c (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (-.f64 (*.f64 d d) (*.f64 c c)))))))
(*.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))

simplify336.0ms (3.8%)

Memory
9.3MiB live, 528.0MiB allocated
Algorithm
egg-herbie
Rules
8 096×accelerator-lowering-fma.f32
8 096×accelerator-lowering-fma.f64
5 420×*-lowering-*.f32
5 420×*-lowering-*.f64
1 894×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05235929
116535702
249375594
081045376
Stop Event
iter limit
node limit
Counts
552 → 552
Calls
Call 1
Inputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2)))))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(/ d (pow c 2))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(/ 1 d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(/ 1 d)
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(/ 1 d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(/ b c)
(* -1 (/ (* a d) (pow c 2)))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/ b c)
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(/ b c)
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(* -1 (/ (* a d) (pow c 2)))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(* -1 (/ (* a d) (pow c 2)))
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(* -1 (/ (* a d) (pow c 2)))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(* b c)
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(- (* b c) (* a d))
(* b c)
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* a (- (/ (* b c) a) d))
(* a (- (/ (* b c) a) d))
(* a (- (/ (* b c) a) d))
(* -1 (* a d))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* d (- (/ (* b c) d) a))
(* d (- (/ (* b c) d) a))
(* d (- (/ (* b c) d) a))
(* -1 (* a d))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* a 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)
(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))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (pow c 2)))
(* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4))))
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4))))))
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4))))))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d)
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d))
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d))
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3)))
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3)))))
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3)))))
(* -1 (/ (* a d) (pow c 2)))
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2))
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2))
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2))
(* -1 (/ (* a d) (pow c 2)))
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2))
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2))
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* d (+ (* -1 a) (/ (* b c) d)))
(* d (+ (* -1 a) (/ (* b c) d)))
(* d (+ (* -1 a) (/ (* b c) d)))
(* -1 (* a d))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(* -1 (* a d))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* b c)
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* a d))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* b c)
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* a (+ (* -1 d) (/ (* b c) a)))
(* a (+ (* -1 d) (/ (* b c) a)))
(* a (+ (* -1 d) (/ (* b c) a)))
(* -1 (* a d))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) d))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(* c (+ (* -1 (/ a c)) (/ b d)))
(* c (+ (* -1 (/ a c)) (/ b d)))
(* c (+ (* -1 (/ a c)) (/ b d)))
(/ (* b c) d)
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* c (+ (* -1 (/ b d)) (/ a c))))
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(* b (+ (* -1 (/ a b)) (/ c d)))
(* b (+ (* -1 (/ a b)) (/ c d)))
(* b (+ (* -1 (/ a b)) (/ c d)))
(/ (* b c) d)
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(* -1 (* b (+ (* -1 (/ c d)) (/ a b))))
(/ (* b c) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(/ (+ (* -1 (* a d)) (* b c)) d)
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(* -1 a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(- (/ (* b c) d) a)
(/ (* b c) d)
(+ (* -1 a) (/ (* b c) d))
(+ (* -1 a) (/ (* b c) d))
(+ (* -1 a) (/ (* b c) d))
(* -1 a)
(* a (- (/ (* b c) (* a d)) 1))
(* a (- (/ (* b c) (* a d)) 1))
(* a (- (/ (* b c) (* a d)) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d))))))
(/ (* b c) (pow d 2))
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))))
(/ b c)
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c)
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ b c)
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c))
(/ (* b c) (pow d 2))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))
(/ (* b c) (pow d 2))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))
Outputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (*.f64 d (/.f64 a (fma.f64 c c (*.f64 d d)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (*.f64 d (/.f64 a (fma.f64 c c (*.f64 d d)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (*.f64 d (/.f64 a (fma.f64 c c (*.f64 d d)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(neg.f64 (*.f64 d (/.f64 a (fma.f64 c c (*.f64 d d)))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
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(*.f64 c (fma.f64 (*.f64 c c) (fma.f64 b (/.f64 (*.f64 c c) (pow.f64 d #s(literal 6 binary64))) (/.f64 b (neg.f64 (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 b (*.f64 d d))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))))
(*.f64 c (fma.f64 (*.f64 c c) (fma.f64 (*.f64 c c) (-.f64 (/.f64 b (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 b (*.f64 c c)) (pow.f64 d #s(literal 8 binary64)))) (/.f64 b (neg.f64 (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 b (*.f64 d d))))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c)
(/.f64 (*.f64 b (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64))) (neg.f64 c))
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c)
(/.f64 (fma.f64 b (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d d) (*.f64 c c))) b) c)
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)
(/.f64 (fma.f64 b (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d d) (*.f64 c c))) (fma.f64 (neg.f64 b) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) b)) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c))
(/.f64 (*.f64 b (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64))) (neg.f64 c))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c))
(/.f64 (fma.f64 b (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d d) (*.f64 c c))) b) c)
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c))
(/.f64 (-.f64 (*.f64 b (fma.f64 d (/.f64 d (*.f64 c c)) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (/.f64 b (*.f64 (*.f64 c c) (*.f64 c c))) b)) (neg.f64 c))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c))
(/.f64 (*.f64 b (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64))) (neg.f64 c))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c))
(fma.f64 (*.f64 d d) (-.f64 (/.f64 (*.f64 b (*.f64 d d)) (pow.f64 c #s(literal 5 binary64))) (/.f64 b (*.f64 c (*.f64 c c)))) (/.f64 b c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c))
(fma.f64 (*.f64 d d) (fma.f64 (*.f64 d d) (-.f64 (/.f64 b (pow.f64 c #s(literal 5 binary64))) (*.f64 b (*.f64 d (/.f64 d (pow.f64 c #s(literal 7 binary64)))))) (neg.f64 (/.f64 b (*.f64 c (*.f64 c c))))) (/.f64 b c))
(/ (* b c) (pow d 2))
(*.f64 b (/.f64 c (*.f64 d d)))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/.f64 (-.f64 (*.f64 b c) (/.f64 (*.f64 b (*.f64 c (*.f64 c c))) (*.f64 d d))) (*.f64 d d))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (*.f64 b c)) (*.f64 d d))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (*.f64 b c)) (/.f64 (*.f64 b (pow.f64 c #s(literal 7 binary64))) (pow.f64 d #s(literal 6 binary64)))) (*.f64 d d))
(/ (* b c) (pow d 2))
(*.f64 b (/.f64 c (*.f64 d d)))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/.f64 (-.f64 (*.f64 b c) (/.f64 (*.f64 b (*.f64 c (*.f64 c c))) (*.f64 d d))) (*.f64 d d))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (*.f64 b c)) (*.f64 d d))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (*.f64 b c)) (/.f64 (*.f64 b (pow.f64 c #s(literal 7 binary64))) (pow.f64 d #s(literal 6 binary64)))) (*.f64 d d))

eval175.0ms (2%)

Memory
24.6MiB live, 244.7MiB allocated
Compiler

Compiled 40 484 to 2 775 computations (93.1% saved)

prune165.0ms (1.9%)

Memory
-20.8MiB live, 276.2MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1 463131 476
Fresh7512
Picked325
Done000
Total1 473201 493
Accuracy
98.9%
Counts
1 493 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))))
41.6%
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 c (*.f64 d d))))
55.5%
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
62.9%
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
37.9%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
35.8%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
51.1%
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
29.7%
(/.f64 (*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) (*.f64 c c))
42.8%
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
37.3%
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
26.4%
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 d d))
18.5%
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
40.8%
(/.f64 b c)
42.0%
(/.f64 a (neg.f64 d))
40.4%
(/.f64 #s(literal 1 binary64) (/.f64 c b))
62.8%
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c (neg.f64 b) (*.f64 d a))))
40.3%
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
40.7%
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
38.7%
(*.f64 d (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c))))
20.4%
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
Compiler

Compiled 554 to 336 computations (39.4% saved)

simplify117.0ms (1.3%)

Memory
-7.2MiB live, 73.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 c b)
cost-diff0
(neg.f64 d)
cost-diff0
(fma.f64 a (neg.f64 d) (*.f64 c b))
cost-diff0
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(neg.f64 d)
cost-diff0
(*.f64 a (neg.f64 d))
cost-diff0
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
cost-diff0
(*.f64 c c)
cost-diff0
(neg.f64 d)
cost-diff0
(*.f64 a (neg.f64 d))
cost-diff0
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
cost-diff0
(neg.f64 d)
cost-diff0
(/.f64 a (neg.f64 d))
cost-diff0
(fma.f64 c c (*.f64 d d))
cost-diff0
(/.f64 d (fma.f64 c c (*.f64 d d)))
cost-diff0
(neg.f64 a)
cost-diff1408
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))))
Rules
1 160×accelerator-lowering-fma.f32
1 160×accelerator-lowering-fma.f64
926×times-frac
920×*-lowering-*.f32
920×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022189
155186
2118170
3249170
4401170
5551170
6863170
71226170
82667170
93266170
103330170
113361170
123375170
133378170
143390170
153390170
03390160
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (neg a) (/ d (+ (* c c) (* d d)))) (* b (/ c (+ (* d d) (* c c)))))
(neg a)
a
(/ d (+ (* c c) (* d d)))
d
(+ (* c c) (* d d))
c
(* d d)
(* b (/ c (+ (* d d) (* c c))))
b
(/ c (+ (* d d) (* c c)))
(+ (* d d) (* c c))
(* c c)
(/ a (neg d))
a
(neg d)
d
(/ (* a (neg d)) (* c c))
(* a (neg d))
a
(neg d)
d
(* c c)
c
(/ (* a (neg d)) (+ (* c c) (* d d)))
(* a (neg d))
a
(neg d)
d
(+ (* c c) (* d d))
c
(* d d)
(/ (+ (* a (neg d)) (* c b)) (+ (* d d) (* c c)))
(+ (* a (neg d)) (* c b))
a
(neg d)
d
(* c b)
c
b
(+ (* d d) (* c c))
(* c c)
Outputs
(+ (* (neg a) (/ d (+ (* c c) (* d d)))) (* b (/ c (+ (* d d) (* c c)))))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 c c (*.f64 d d)))
(neg a)
(neg.f64 a)
a
(/ d (+ (* c c) (* d d)))
(/.f64 d (fma.f64 c c (*.f64 d d)))
d
(+ (* c c) (* d d))
(fma.f64 c c (*.f64 d d))
c
(* d d)
(*.f64 d d)
(* b (/ c (+ (* d d) (* c c))))
(*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))))
b
(/ c (+ (* d d) (* c c)))
(/.f64 c (fma.f64 c c (*.f64 d d)))
(+ (* d d) (* c c))
(fma.f64 c c (*.f64 d d))
(* c c)
(*.f64 c c)
(/ a (neg d))
(/.f64 a (neg.f64 d))
a
(neg d)
(neg.f64 d)
d
(/ (* a (neg d)) (* c c))
(*.f64 d (/.f64 a (*.f64 c (neg.f64 c))))
(* a (neg d))
(*.f64 a (neg.f64 d))
a
(neg d)
(neg.f64 d)
d
(* c c)
(*.f64 c c)
c
(/ (* a (neg d)) (+ (* c c) (* d d)))
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(* a (neg d))
(*.f64 a (neg.f64 d))
a
(neg d)
(neg.f64 d)
d
(+ (* c c) (* d d))
(fma.f64 c c (*.f64 d d))
c
(* d d)
(*.f64 d d)
(/ (+ (* a (neg d)) (* c b)) (+ (* d d) (* c c)))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 c c (*.f64 d d)))
(+ (* a (neg d)) (* c b))
(fma.f64 a (neg.f64 d) (*.f64 c b))
a
(neg d)
(neg.f64 d)
d
(* c b)
(*.f64 c b)
c
b
(+ (* d d) (* c c))
(fma.f64 c c (*.f64 d d))
(* c c)
(*.f64 c c)

localize99.0ms (1.1%)

Memory
17.9MiB live, 95.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 d)
accuracy100.0%
(fma.f64 d d (*.f64 c c))
accuracy100.0%
(fma.f64 a (neg.f64 d) (*.f64 c b))
accuracy63.2%
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
accuracy100.0%
(*.f64 a (neg.f64 d))
accuracy100.0%
(neg.f64 d)
accuracy100.0%
(fma.f64 c c (*.f64 d d))
accuracy68.8%
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
accuracy100.0%
(*.f64 c c)
accuracy100.0%
(*.f64 a (neg.f64 d))
accuracy100.0%
(neg.f64 d)
accuracy78.2%
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
accuracy100.0%
(/.f64 a (neg.f64 d))
accuracy100.0%
(neg.f64 d)
accuracy96.9%
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))))
accuracy96.9%
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))
accuracy72.9%
(/.f64 c (fma.f64 d d (*.f64 c c)))
accuracy68.9%
(/.f64 d (fma.f64 c c (*.f64 d d)))
Samples
69.0ms256×0valid
Compiler

Compiled 169 to 24 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-neg: 29.0ms (56.3% of total)
ival-div: 9.0ms (17.5% of total)
ival-mult: 9.0ms (17.5% of total)
ival-add: 4.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.4%)

Memory
-25.7MiB live, 13.1MiB allocated
Counts
16 → 456
Calls
Call 1
Inputs
#<alt (+ (* (neg a) (/ d (+ (* c c) (* d d)))) (* b (/ c (+ (* d d) (* c c)))))>
#<alt (neg a)>
#<alt (/ d (+ (* c c) (* d d)))>
#<alt (+ (* c c) (* d d))>
#<alt (/ a (neg d))>
#<alt (neg d)>
#<alt (/ (* a (neg d)) (* c c))>
#<alt (* a (neg d))>
#<alt (* c c)>
#<alt (/ (* a (neg d)) (+ (* c c) (* d d)))>
#<alt (/ (+ (* a (neg d)) (* c b)) (+ (* d d) (* c c)))>
#<alt (+ (* a (neg d)) (* c b))>
#<alt (* c b)>
#<alt (/ c (+ (* d d) (* c c)))>
#<alt (* b (/ c (+ (* d d) (* c c))))>
#<alt (+ (* d d) (* c c))>
Outputs
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (/ b c)>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))>
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))>
#<alt (* -1 (/ a d))>
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)>
#<alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)>
#<alt (/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d)>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))>
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))>
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))>
#<alt (* -1 (/ a d))>
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))>
#<alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))>
#<alt (+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2)))))>
#<alt (/ b c)>
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)>
#<alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)>
#<alt (/ b c)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
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#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (/ (* b c) (pow d 2))>
#<alt (* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))))>
#<alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))))>
#<alt (/ b c)>
#<alt (/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c)>
#<alt (/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c)>
#<alt (/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)>
#<alt (/ b c)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c))>
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c))>
#<alt (* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c))>
#<alt (/ b c)>
#<alt (+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c))>
#<alt (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c))>
#<alt (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c))>
#<alt (/ (* b c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))>
#<alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))>
#<alt (/ (* b c) (pow d 2))>
#<alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))>
#<alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))>
#<alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 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 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))))>
Calls

114 calls:

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

rewrite555.0ms (6.3%)

Memory
27.0MiB live, 470.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 374×accelerator-lowering-fma.f32
11 374×accelerator-lowering-fma.f64
4 496×*-lowering-*.f32
4 496×*-lowering-*.f64
4 234×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022137
1145134
21214118
08582110
Stop Event
iter limit
node limit
Counts
16 → 986
Calls
Call 1
Inputs
(+ (* (neg a) (/ d (+ (* c c) (* d d)))) (* b (/ c (+ (* d d) (* c c)))))
(neg a)
(/ d (+ (* c c) (* d d)))
(+ (* c c) (* d d))
(/ a (neg d))
(neg d)
(/ (* a (neg d)) (* c c))
(* a (neg d))
(* c c)
(/ (* a (neg d)) (+ (* c c) (* d d)))
(/ (+ (* a (neg d)) (* c b)) (+ (* d d) (* c c)))
(+ (* a (neg d)) (* c b))
(* c b)
(/ c (+ (* d d) (* c c)))
(* b (/ c (+ (* d d) (* c c))))
(+ (* d d) (* c c))
Outputs
(+.f64 (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(+.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 a a)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 (neg.f64 a) d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))) (neg.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 (neg.f64 a) d) (*.f64 c b)) (fma.f64 d d (*.f64 c c))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a (neg.f64 d) (*.f64 c b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 a d) (*.f64 c b)) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 a a)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 (neg.f64 a) d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 (neg.f64 a) d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 a a)) (-.f64 (*.f64 (neg.f64 a) d) (*.f64 c b))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (-.f64 (*.f64 (neg.f64 a) d) (*.f64 c b))) (fma.f64 d d (*.f64 c c))))
(-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 a a)) (*.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 (neg.f64 a) d) (*.f64 c b)))) (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 (neg.f64 a) d) (*.f64 c b)))))
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 a a)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 d d (*.f64 c c)))))
(fma.f64 a (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 a)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) b) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 c (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (neg.f64 a) d) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 a d) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 a a)) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 a) d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))) (neg.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d d (*.f64 c c)))) (/.f64 (-.f64 (*.f64 (neg.f64 a) d) (*.f64 c b)) (fma.f64 d d (*.f64 c c))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 a) d) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a d)) #s(literal -1 binary64)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) d)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 b (/.f64 #s(literal 1 binary64) c)) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (neg.f64 (*.f64 c b)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 a (/.f64 #s(literal 1 binary64) d)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (neg.f64 c) b) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64)) a (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (*.f64 b (neg.f64 c)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 (neg.f64 a) d) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 (neg.f64 a) d) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 (neg.f64 a) d) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d)) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (*.f64 (neg.f64 a) d) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 c (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (neg.f64 d) (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (neg.f64 d) (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (neg.f64 d) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 (neg.f64 d) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 a (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 d (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(fma.f64 (/.f64 d (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
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(-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))
(-.f64 (/.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(fma.f64 (*.f64 c c) #s(literal 1 binary64) (*.f64 d d))
(fma.f64 (*.f64 d d) #s(literal 1 binary64) (*.f64 c c))
(fma.f64 (neg.f64 d) (neg.f64 d) (*.f64 c c))
(fma.f64 (*.f64 d (*.f64 d (*.f64 d d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))) (neg.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 #s(literal 1 binary64) (*.f64 d d) (*.f64 c c))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 c c)) (*.f64 d d))
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d))
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c))
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (*.f64 c (*.f64 c c)) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c c) (+.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 d (+.f64 d c)) (/.f64 (*.f64 d (*.f64 d d)) (-.f64 d c)) (neg.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (/.f64 (*.f64 d d) (+.f64 d c)) (/.f64 (*.f64 d d) (-.f64 d c)) (neg.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (/.f64 (*.f64 d (*.f64 d d)) (+.f64 d c)) (/.f64 d (-.f64 d c)) (neg.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))))
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (+.f64 d c) (-.f64 d c)))
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (+.f64 c d) (-.f64 c d)))
(/.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (-.f64 (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 c d) (-.f64 c d))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))))) (neg.f64 (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (fma.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))))) (+.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) (+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64))
(*.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))))
(*.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))
(*.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c))))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))
(*.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (+.f64 d c))
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 c d)) (+.f64 c d))

simplify401.0ms (4.6%)

Memory
-23.3MiB live, 585.3MiB allocated
Algorithm
egg-herbie
Rules
9 014×accelerator-lowering-fma.f32
9 014×accelerator-lowering-fma.f64
4 912×*-lowering-*.f32
4 912×*-lowering-*.f64
2 546×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05295397
116255185
247635081
081564864
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2)))))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(/ d (pow c 2))
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))))
(/ 1 d)
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d)
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d)
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d)
(/ 1 d)
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d))
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d))
(/ 1 d)
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ d (pow c 2))
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2))
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2))
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2))
(pow 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))))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 d)
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(* -1 (* a d))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (pow c 2)))
(* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4))))
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4))))))
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4))))))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d)
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d))
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d))
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3)))
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3)))))
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3)))))
(* -1 (/ (* a d) (pow c 2)))
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2))
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2))
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2))
(* -1 (/ (* a d) (pow c 2)))
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2))
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2))
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* a (+ (* -1 d) (/ (* b c) a)))
(* a (+ (* -1 d) (/ (* b c) a)))
(* a (+ (* -1 d) (/ (* b c) a)))
(* -1 (* a d))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* d (+ (* -1 a) (/ (* b c) d)))
(* d (+ (* -1 a) (/ (* b c) d)))
(* d (+ (* -1 a) (/ (* b c) d)))
(* -1 (* a d))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(* -1 (* a d))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* b c)
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* a d))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* b c)
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(* b c)
(/ c (pow d 2))
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))))
(/ 1 c)
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c)
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c)
(/ 1 c)
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c))
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c))
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c))
(/ 1 c)
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c))
(/ c (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ c (pow d 2))
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2))
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/ (* b c) (pow d 2))
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))))
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))))
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))))
(/ b c)
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c)
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c))
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c))
(/ b c)
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c))
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c))
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c))
(/ (* b c) (pow d 2))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))
(/ (* b c) (pow d 2))
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2))
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2))
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
Outputs
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(neg.f64 (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(neg.f64 (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(/.f64 (-.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 d d) c) (*.f64 d a)) c) b) (neg.f64 c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 d (fma.f64 d (fma.f64 d (/.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (neg.f64 b) (*.f64 c (*.f64 c c)))) (/.f64 a (*.f64 c (neg.f64 c)))) (/.f64 b c))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
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eval200.0ms (2.3%)

Memory
32.8MiB live, 408.8MiB allocated
Compiler

Compiled 52 612 to 2 621 computations (95% saved)

prune179.0ms (2%)

Memory
-13.6MiB live, 356.5MiB allocated
Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New1 795111 806
Fresh8513
Picked145
Done022
Total1 804221 826
Accuracy
100.0%
Counts
1 826 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (fma.f64 d d (*.f64 c c)) c) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d) b)) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d) (/.f64 (fma.f64 d d (*.f64 c c)) c)))
52.6%
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)
55.5%
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
62.9%
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
37.9%
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))
19.4%
(/.f64 (/.f64 (*.f64 (neg.f64 a) d) c) c)
35.8%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
26.4%
(/.f64 (*.f64 (neg.f64 a) d) (*.f64 d d))
29.7%
(/.f64 (*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) (*.f64 c c))
42.8%
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
37.3%
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
18.5%
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
40.8%
(/.f64 b c)
42.0%
(/.f64 a (neg.f64 d))
62.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a (neg.f64 d) (*.f64 c b))))
40.4%
(/.f64 #s(literal 1 binary64) (/.f64 c b))
21.4%
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
40.7%
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
41.9%
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
19.9%
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
20.4%
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
44.8%
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
Compiler

Compiled 547 to 321 computations (41.3% saved)

simplify183.0ms (2.1%)

Memory
-0.7MiB live, 116.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 d c)
cost-diff0
(neg.f64 a)
cost-diff0
(fma.f64 (neg.f64 a) (/.f64 d c) b)
cost-diff0
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)
cost-diff0
(/.f64 d c)
cost-diff0
(neg.f64 a)
cost-diff0
(/.f64 (neg.f64 a) c)
cost-diff384
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
cost-diff0
(*.f64 c c)
cost-diff0
(/.f64 d (*.f64 c c))
cost-diff0
(neg.f64 (/.f64 d (*.f64 c c)))
cost-diff0
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
cost-diff0
(/.f64 #s(literal -1 binary64) d)
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
cost-diff0
(*.f64 c c)
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a (neg.f64 d) (*.f64 c b)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a (neg.f64 d) (*.f64 c b))))
Rules
1 752×accelerator-lowering-fma.f32
1 752×accelerator-lowering-fma.f64
1 208×*-lowering-*.f32
1 208×*-lowering-*.f64
1 068×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027144
164139
2150137
3301137
4580137
5858137
61502137
72089137
82762137
93363137
103653137
113727137
123752137
133753137
143777137
153857137
163929137
173945137
183945137
193945137
03945134
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (/ (+ (* d d) (* c c)) (+ (* a (neg d)) (* c b))))
1
(/ (+ (* d d) (* c c)) (+ (* a (neg d)) (* c b)))
(+ (* d d) (* c c))
d
(* c c)
c
(+ (* a (neg d)) (* c b))
a
(neg d)
(* c b)
b
(* (/ -1 d) a)
(/ -1 d)
-1
d
a
(* (neg (/ d (* c c))) a)
(neg (/ d (* c c)))
(/ d (* c c))
d
(* c c)
c
a
(* (/ (neg a) c) (/ d c))
(/ (neg a) c)
(neg a)
a
c
(/ d c)
d
(/ (+ (* (neg a) (/ d c)) b) c)
(+ (* (neg a) (/ d c)) b)
(neg a)
a
(/ d c)
d
c
b
Outputs
(/ 1 (/ (+ (* d d) (* c c)) (+ (* a (neg d)) (* c b))))
(/.f64 (fma.f64 c b (*.f64 a (neg.f64 d))) (fma.f64 d d (*.f64 c c)))
1
#s(literal 1 binary64)
(/ (+ (* d d) (* c c)) (+ (* a (neg d)) (* c b)))
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 c b (*.f64 a (neg.f64 d))))
(+ (* d d) (* c c))
(fma.f64 d d (*.f64 c c))
d
(* c c)
(*.f64 c c)
c
(+ (* a (neg d)) (* c b))
(fma.f64 c b (*.f64 a (neg.f64 d)))
a
(neg d)
(neg.f64 d)
(* c b)
(*.f64 c b)
b
(* (/ -1 d) a)
(/.f64 a (neg.f64 d))
(/ -1 d)
(/.f64 #s(literal -1 binary64) d)
-1
#s(literal -1 binary64)
d
a
(* (neg (/ d (* c c))) a)
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
(neg (/ d (* c c)))
(neg.f64 (/.f64 d (*.f64 c c)))
(/ d (* c c))
(/.f64 d (*.f64 c c))
d
(* c c)
(*.f64 c c)
c
a
(* (/ (neg a) c) (/ d c))
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
(/ (neg a) c)
(neg.f64 (/.f64 a c))
(neg a)
(neg.f64 a)
a
c
(/ d c)
(/.f64 d c)
d
(/ (+ (* (neg a) (/ d c)) b) c)
(/.f64 (fma.f64 a (/.f64 (neg.f64 d) c) b) c)
(+ (* (neg a) (/ d c)) b)
(fma.f64 a (/.f64 (neg.f64 d) c) b)
(neg a)
(neg.f64 a)
a
(/ d c)
(/.f64 d c)
d
c
b

localize84.0ms (1%)

Memory
4.0MiB live, 119.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 d c)
accuracy100.0%
(neg.f64 a)
accuracy99.2%
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)
accuracy95.7%
(fma.f64 (neg.f64 a) (/.f64 d c) b)
accuracy100.0%
(/.f64 (neg.f64 a) c)
accuracy100.0%
(/.f64 d c)
accuracy100.0%
(neg.f64 a)
accuracy95.9%
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
accuracy100.0%
(*.f64 c c)
accuracy100.0%
(neg.f64 (/.f64 d (*.f64 c c)))
accuracy90.7%
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
accuracy86.2%
(/.f64 d (*.f64 c c))
accuracy100.0%
(/.f64 #s(literal -1 binary64) d)
accuracy99.7%
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
accuracy100.0%
(fma.f64 d d (*.f64 c c))
accuracy100.0%
(fma.f64 a (neg.f64 d) (*.f64 c b))
accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a (neg.f64 d) (*.f64 c b))))
accuracy64.0%
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a (neg.f64 d) (*.f64 c b)))
Samples
58.0ms256×0valid
Compiler

Compiled 139 to 29 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 16.0ms (39% of total)
ival-div: 15.0ms (36.6% of total)
ival-add: 6.0ms (14.6% of total)
ival-neg: 3.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series61.0ms (0.7%)

Memory
-9.7MiB live, 29.2MiB allocated
Counts
16 → 492
Calls
Call 1
Inputs
#<alt (/ 1 (/ (+ (* d d) (* c c)) (+ (* a (neg d)) (* c b))))>
#<alt (/ (+ (* d d) (* c c)) (+ (* a (neg d)) (* c b)))>
#<alt (+ (* d d) (* c c))>
#<alt (* c c)>
#<alt (* (/ -1 d) a)>
#<alt (/ -1 d)>
#<alt (* (neg (/ d (* c c))) a)>
#<alt (neg (/ d (* c c)))>
#<alt (/ d (* c c))>
#<alt (* (/ (neg a) c) (/ d c))>
#<alt (/ (neg a) c)>
#<alt (neg a)>
#<alt (/ d c)>
#<alt (/ (+ (* (neg a) (/ d c)) b) c)>
#<alt (+ (* (neg a) (/ d c)) b)>
#<alt (+ (* a (neg d)) (* c b))>
Outputs
#<alt (/ b c)>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))>
#<alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))>
#<alt (* -1 (/ a d))>
#<alt (/ (+ (* -1 a) (/ (* b c) d)) d)>
#<alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)>
#<alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d))>
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))>
#<alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))>
#<alt (* -1 (/ a d))>
#<alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))>
#<alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))>
#<alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))>
#<alt (/ b c)>
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)>
#<alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)>
#<alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)>
#<alt (/ b c)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))>
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))>
#<alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))>
#<alt (/ (* b c) (+ (pow c 2) (pow d 2)))>
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))>
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))>
#<alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))>
#<alt (/ c b)>
#<alt (+ (/ c b) (/ (* a d) (pow b 2)))>
#<alt (+ (* d (- (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b))>
#<alt (+ (* d (- (* d (- (+ (/ 1 (* b c)) (/ (* a (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c)))))) (* b c))) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b))>
#<alt (* -1 (/ d a))>
#<alt (* d (- (* -1 (/ (* b c) (* (pow a 2) d))) (/ 1 a)))>
#<alt (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2)))))))>
#<alt (* d (- (+ (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ (* b (* c (- (* -1 (/ (pow c 2) a)) (/ (* (pow b 2) (pow c 2)) (pow a 3))))) (* a (pow d 3)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2)))))))>
#<alt (* -1 (/ d a))>
#<alt (* -1 (* d (+ (/ 1 a) (/ (* b c) (* (pow a 2) d)))))>
#<alt (* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a))))>
#<alt (* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* b (* c (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))))) (* a d)) (/ (pow c 2) a)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a))))>
#<alt (* -1 (/ d a))>
#<alt (+ (* -1 (/ d a)) (* -1 (/ (* b c) (pow a 2))))>
#<alt (+ (* -1 (/ d a)) (* c (- (* -1 (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2)))))>
#<alt (+ (* -1 (/ d a)) (* c (- (* c (- (* -1 (/ (* b (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (* a d))) (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2)))))>
#<alt (/ c b)>
#<alt (* c (+ (/ 1 b) (/ (* a d) (* (pow b 2) c))))>
#<alt (* c (- (+ (/ 1 b) (/ (pow d 2) (* b (pow c 2)))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2)))))))>
#<alt (* c (- (+ (/ 1 b) (+ (/ (* a (* d (- (/ (pow d 2) b) (* -1 (/ (* (pow a 2) (pow d 2)) (pow b 3)))))) (* b (pow c 3))) (/ (pow d 2) (* b (pow c 2))))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2)))))))>
#<alt (/ c b)>
#<alt (* -1 (* c (- (* -1 (/ (* a d) (* (pow b 2) c))) (/ 1 b))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow d 2) b)) (/ (* a (* d (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))))) (* b c))) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b))))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* b c))>
#<alt (+ (/ c b) (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 2))) (/ (pow d 2) (* b c))))>
#<alt (+ (* a (- (/ (* a (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 3))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c))))>
#<alt (+ (* a (- (* a (- (/ (* a (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow c 4))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow c 3)))))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c))))>
#<alt (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))>
#<alt (/ (+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) a)>
#<alt (/ (- (+ (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) a)>
#<alt (/ (- (+ (* -1 (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 4)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3))))) a)>
#<alt (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))>
#<alt (* -1 (/ (+ d (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (pow c 2) d))) a))>
#<alt (* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* a (pow d 3)))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a))>
#<alt (* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* a (pow d 4))) (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3)))) a)) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a))>
#<alt (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))>
#<alt (+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))))>
#<alt (+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* -1 (/ (* b (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 3)))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2))))))>
#<alt (+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* b (- (* -1 (/ (* b (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow d 4)))) (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow d 3))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2))))))>
#<alt (/ (+ (pow c 2) (pow d 2)) (* b c))>
#<alt (/ (+ c (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))) (/ (pow d 2) c))) b)>
#<alt (/ (- (+ c (+ (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3))) (/ (pow d 2) c))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))))) b)>
#<alt (/ (- (+ c (+ (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 4))) (/ (pow d 2) c))) (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3)))))) b)>
#<alt (/ (+ (pow c 2) (pow d 2)) (* b c))>
#<alt (* -1 (/ (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) c))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* b (pow c 3))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* b (pow c 4)))) (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) b)) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b))>
#<alt (pow c 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))>
#<alt (pow d 2)>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (+ (pow c 2) (pow d 2))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (pow c 2)>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (* -1 (/ a d))>
#<alt (/ -1 d)>
#<alt (/ -1 d)>
#<alt (/ -1 d)>
#<alt (/ -1 d)>
#<alt (/ -1 d)>
#<alt (/ -1 d)>
#<alt (/ -1 d)>
#<alt (/ -1 d)>
#<alt (/ -1 d)>
#<alt (/ -1 d)>
#<alt (/ -1 d)>
#<alt (/ -1 d)>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (* -1 (/ d (pow c 2)))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (/ d (pow c 2))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 (/ a c))>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ d c)>
#<alt (/ b c)>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))>
#<alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))>
#<alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))>
#<alt (/ b c)>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))>
#<alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))>
#<alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))>
#<alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))>
#<alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2))>
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2))>
#<alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2))>
#<alt (/ b c)>
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)>
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)>
#<alt (/ (+ b (* -1 (/ (* a d) c))) c)>
#<alt (/ b c)>
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))>
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))>
#<alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))>
#<alt (* -1 (/ (* a d) (pow c 2)))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c))>
#<alt (/ b c)>
#<alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))>
#<alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))>
#<alt (/ b c)>
#<alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))>
#<alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))>
#<alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))>
#<alt b>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* a (+ (* -1 (/ d c)) (/ b a)))>
#<alt (* a (+ (* -1 (/ d c)) (/ b a)))>
#<alt (* a (+ (* -1 (/ d c)) (/ b a)))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (/ d c))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (/ d c))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (/ d c))))>
#<alt b>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* d (+ (* -1 (/ a c)) (/ b d)))>
#<alt (* d (+ (* -1 (/ a c)) (/ b d)))>
#<alt (* d (+ (* -1 (/ a c)) (/ b d)))>
#<alt (* -1 (/ (* a d) c))>
#<alt (* -1 (* d (+ (* -1 (/ b d)) (/ a c))))>
#<alt (* -1 (* d (+ (* -1 (/ b d)) (/ a c))))>
#<alt (* -1 (* d (+ (* -1 (/ b d)) (/ a c))))>
#<alt (* -1 (/ (* a d) c))>
#<alt (/ (+ (* -1 (* a d)) (* b c)) c)>
#<alt (/ (+ (* -1 (* a d)) (* b c)) c)>
#<alt (/ (+ (* -1 (* a d)) (* b c)) c)>
#<alt b>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt b>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt (* -1 (/ (* a d) c))>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt (+ b (* -1 (/ (* a d) c)))>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ (* a d) (* b c)))))>
#<alt (* b (+ 1 (* -1 (/ (* a d) (* b c)))))>
#<alt (* b (+ 1 (* -1 (/ (* a d) (* b c)))))>
#<alt b>
#<alt (* -1 (* b (- (/ (* a d) (* b c)) 1)))>
#<alt (* -1 (* b (- (/ (* a d) (* b c)) 1)))>
#<alt (* -1 (* b (- (/ (* a d) (* b c)) 1)))>
#<alt (* b c)>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (* -1 (* a d))>
#<alt (* a (+ (* -1 d) (/ (* b c) a)))>
#<alt (* a (+ (* -1 d) (/ (* b c) a)))>
#<alt (* a (+ (* -1 d) (/ (* b c) a)))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* a (+ d (* -1 (/ (* b c) a)))))>
#<alt (* -1 (* a (+ d (* -1 (/ (* b c) a)))))>
#<alt (* -1 (* a (+ d (* -1 (/ (* b c) a)))))>
#<alt (* b c)>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (* -1 (* a d))>
#<alt (* d (+ (* -1 a) (/ (* b c) d)))>
#<alt (* d (+ (* -1 a) (/ (* b c) d)))>
#<alt (* d (+ (* -1 a) (/ (* b c) d)))>
#<alt (* -1 (* a d))>
#<alt (* -1 (* d (+ a (* -1 (/ (* b c) d)))))>
#<alt (* -1 (* d (+ a (* -1 (/ (* b c) d)))))>
#<alt (* -1 (* d (+ a (* -1 (/ (* b c) d)))))>
#<alt (* -1 (* a d))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (* b c)>
#<alt (* c (+ b (* -1 (/ (* a d) c))))>
#<alt (* c (+ b (* -1 (/ (* a d) c))))>
#<alt (* c (+ b (* -1 (/ (* a d) c))))>
#<alt (* b c)>
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))>
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))>
#<alt (* -1 (* c (+ (* -1 b) (/ (* a d) c))))>
#<alt (* -1 (* a d))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (+ (* -1 (* a d)) (* b c))>
#<alt (* b c)>
#<alt (* b (+ c (* -1 (/ (* a d) b))))>
#<alt (* b (+ c (* -1 (/ (* a d) b))))>
#<alt (* b (+ c (* -1 (/ (* a d) b))))>
#<alt (* b c)>
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))>
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))>
#<alt (* -1 (* b (+ (* -1 c) (/ (* a d) b))))>
Calls

123 calls:

TimeVariablePointExpression
36.0ms
a
@0
(/ (+ (* (neg a) (/ d c)) b) c)
1.0ms
d
@inf
(* (/ (neg a) c) (/ d c))
1.0ms
a
@inf
(/ (+ (* d d) (* c c)) (+ (* a (neg d)) (* c b)))
1.0ms
b
@inf
(/ (+ (* d d) (* c c)) (+ (* a (neg d)) (* c b)))
1.0ms
c
@inf
(/ (+ (* d d) (* c c)) (+ (* a (neg d)) (* c b)))

rewrite378.0ms (4.3%)

Memory
-6.7MiB live, 470.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 454×accelerator-lowering-fma.f32
9 454×accelerator-lowering-fma.f64
6 072×*-lowering-*.f32
6 072×*-lowering-*.f64
3 010×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027113
1146106
21135106
08721103
Stop Event
iter limit
node limit
Counts
16 → 1 078
Calls
Call 1
Inputs
(/ 1 (/ (+ (* d d) (* c c)) (+ (* a (neg d)) (* c b))))
(/ (+ (* d d) (* c c)) (+ (* a (neg d)) (* c b)))
(+ (* d d) (* c c))
(* c c)
(* (/ -1 d) a)
(/ -1 d)
(* (neg (/ d (* c c))) a)
(neg (/ d (* c c)))
(/ d (* c c))
(* (/ (neg a) c) (/ d c))
(/ (neg a) c)
(neg a)
(/ d c)
(/ (+ (* (neg a) (/ d c)) b) c)
(+ (* (neg a) (/ d c)) b)
(+ (* a (neg d)) (* c b))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 d a))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c b)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c b)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 d a))))
(+.f64 (/.f64 (neg.f64 (*.f64 d a)) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(+.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (neg.f64 (*.f64 d a)) (fma.f64 d d (*.f64 c c))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 d a)) (fma.f64 d d (*.f64 c c)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 d a)) (fma.f64 d d (*.f64 c c)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b (neg.f64 c))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 b (neg.f64 c))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 d (*.f64 a (*.f64 d a))) (neg.f64 (fma.f64 d a (*.f64 c b)))) (/.f64 (*.f64 d (*.f64 a (*.f64 d a))) (neg.f64 (fma.f64 d a (*.f64 c b))))) (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 b b))) (neg.f64 (fma.f64 d a (*.f64 c b)))) (/.f64 (*.f64 c (*.f64 c (*.f64 b b))) (neg.f64 (fma.f64 d a (*.f64 c b)))))) (+.f64 (/.f64 (*.f64 d (*.f64 a (*.f64 d a))) (neg.f64 (fma.f64 d a (*.f64 c b)))) (/.f64 (*.f64 c (*.f64 c (*.f64 b b))) (neg.f64 (fma.f64 d a (*.f64 c b))))))
(pow.f64 (-.f64 (*.f64 c b) (*.f64 d a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a)))
(*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (neg.f64 (fma.f64 d a (*.f64 c b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d a (*.f64 c b))))))
(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 d a) (*.f64 c b)))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c)) (*.f64 (neg.f64 (*.f64 d a)) (*.f64 d (*.f64 a (*.f64 d a))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (fma.f64 c b (*.f64 d a))) (*.f64 d (*.f64 a (*.f64 d a))))))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c)) (*.f64 (neg.f64 (*.f64 d a)) (*.f64 d (*.f64 a (*.f64 d a))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 b b)) (*.f64 (neg.f64 (*.f64 d a)) (neg.f64 (fma.f64 d a (*.f64 c b)))))))
(*.f64 (fma.f64 c (*.f64 b (fma.f64 c b (*.f64 d a))) (*.f64 d (*.f64 a (*.f64 d a)))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (fma.f64 c b (*.f64 d a))) (*.f64 d (*.f64 a (*.f64 d a)))))))
(*.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (-.f64 (*.f64 d a) (*.f64 c b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d a (*.f64 c b)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c)) (*.f64 (neg.f64 (*.f64 d a)) (*.f64 d (*.f64 a (*.f64 d a)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c (*.f64 b (fma.f64 c b (*.f64 d a))) (*.f64 d (*.f64 a (*.f64 d a)))))))
(*.f64 (*.f64 (-.f64 (*.f64 d a) (*.f64 c b)) (neg.f64 (fma.f64 d a (*.f64 c b)))) (/.f64 #s(literal 1 binary64) (fma.f64 d a (neg.f64 (*.f64 b (neg.f64 c))))))
(*.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c)) (*.f64 (neg.f64 (*.f64 d a)) (*.f64 d (*.f64 a (*.f64 d a)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (fma.f64 c b (*.f64 d a))) (*.f64 d (*.f64 a (*.f64 d a))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d a (*.f64 c b)) (-.f64 (*.f64 d a) (*.f64 c b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d a (*.f64 c b)))))

simplify338.0ms (3.8%)

Memory
20.9MiB live, 474.4MiB allocated
Algorithm
egg-herbie
Rules
6 792×accelerator-lowering-fma.f32
6 792×accelerator-lowering-fma.f64
6 438×*-lowering-*.f32
6 438×*-lowering-*.f64
3 142×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05525424
119475233
273555174
081244980
Stop Event
iter limit
node limit
Counts
492 → 492
Calls
Call 1
Inputs
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(* -1 (/ a d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(* -1 (/ a d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(* -1 (/ a d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(/ c b)
(+ (/ c b) (/ (* a d) (pow b 2)))
(+ (* d (- (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b))
(+ (* d (- (* d (- (+ (/ 1 (* b c)) (/ (* a (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c)))))) (* b c))) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b))
(* -1 (/ d a))
(* d (- (* -1 (/ (* b c) (* (pow a 2) d))) (/ 1 a)))
(* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2)))))))
(* d (- (+ (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ (* b (* c (- (* -1 (/ (pow c 2) a)) (/ (* (pow b 2) (pow c 2)) (pow a 3))))) (* a (pow d 3)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2)))))))
(* -1 (/ d a))
(* -1 (* d (+ (/ 1 a) (/ (* b c) (* (pow a 2) d)))))
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a))))
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* b (* c (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))))) (* a d)) (/ (pow c 2) a)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a))))
(* -1 (/ d a))
(+ (* -1 (/ d a)) (* -1 (/ (* b c) (pow a 2))))
(+ (* -1 (/ d a)) (* c (- (* -1 (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2)))))
(+ (* -1 (/ d a)) (* c (- (* c (- (* -1 (/ (* b (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (* a d))) (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2)))))
(/ c b)
(* c (+ (/ 1 b) (/ (* a d) (* (pow b 2) c))))
(* c (- (+ (/ 1 b) (/ (pow d 2) (* b (pow c 2)))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2)))))))
(* c (- (+ (/ 1 b) (+ (/ (* a (* d (- (/ (pow d 2) b) (* -1 (/ (* (pow a 2) (pow d 2)) (pow b 3)))))) (* b (pow c 3))) (/ (pow d 2) (* b (pow c 2))))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2)))))))
(/ c b)
(* -1 (* c (- (* -1 (/ (* a d) (* (pow b 2) c))) (/ 1 b))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow d 2) b)) (/ (* a (* d (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))))) (* b c))) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b))))
(/ (+ (pow c 2) (pow d 2)) (* b c))
(+ (/ c b) (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 2))) (/ (pow d 2) (* b c))))
(+ (* a (- (/ (* a (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 3))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c))))
(+ (* a (- (* a (- (/ (* a (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow c 4))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow c 3)))))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c))))
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))
(/ (+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) a)
(/ (- (+ (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) a)
(/ (- (+ (* -1 (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 4)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3))))) a)
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))
(* -1 (/ (+ d (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (pow c 2) d))) a))
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* a (pow d 3)))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a))
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* a (pow d 4))) (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3)))) a)) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a))
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))
(+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* -1 (/ (* b (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 3)))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2))))))
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* b (- (* -1 (/ (* b (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow d 4)))) (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow d 3))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2))))))
(/ (+ (pow c 2) (pow d 2)) (* b c))
(/ (+ c (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))) (/ (pow d 2) c))) b)
(/ (- (+ c (+ (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3))) (/ (pow d 2) c))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))))) b)
(/ (- (+ c (+ (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 4))) (/ (pow d 2) c))) (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3)))))) b)
(/ (+ (pow c 2) (pow d 2)) (* b c))
(* -1 (/ (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) c))) b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* b (pow c 3))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b))
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* b (pow c 4)))) (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) b)) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(* -1 (/ a d))
(/ -1 d)
(/ -1 d)
(/ -1 d)
(/ -1 d)
(/ -1 d)
(/ -1 d)
(/ -1 d)
(/ -1 d)
(/ -1 d)
(/ -1 d)
(/ -1 d)
(/ -1 d)
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(* -1 (/ d (pow c 2)))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(/ d (pow c 2))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 (/ a c))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ d c)
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(* -1 (/ (* a d) (pow c 2)))
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c))))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2)))))
(/ b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(* -1 (/ (* a d) (pow c 2)))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d))))
(* -1 (/ (* a d) (pow c 2)))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2)))))
(* -1 (/ (* a d) (pow c 2)))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2))
(/ b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/ b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(* -1 (/ (* a d) (pow c 2)))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/ b c)
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(/ b c)
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(* -1 (/ (* a d) c))
(* a (+ (* -1 (/ d c)) (/ b a)))
(* a (+ (* -1 (/ d c)) (/ b a)))
(* a (+ (* -1 (/ d c)) (/ b a)))
(* -1 (/ (* a d) c))
(* -1 (* a (+ (* -1 (/ b a)) (/ d c))))
(* -1 (* a (+ (* -1 (/ b a)) (/ d c))))
(* -1 (* a (+ (* -1 (/ b a)) (/ d c))))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(* -1 (/ (* a d) c))
(* d (+ (* -1 (/ a c)) (/ b d)))
(* d (+ (* -1 (/ a c)) (/ b d)))
(* d (+ (* -1 (/ a c)) (/ b d)))
(* -1 (/ (* a d) c))
(* -1 (* d (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* d (+ (* -1 (/ b d)) (/ a c))))
(* -1 (* d (+ (* -1 (/ b d)) (/ a c))))
(* -1 (/ (* a d) c))
(/ (+ (* -1 (* a d)) (* b c)) c)
(/ (+ (* -1 (* a d)) (* b c)) c)
(/ (+ (* -1 (* a d)) (* b c)) c)
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
b
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(* -1 (/ (* a d) c))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
(+ b (* -1 (/ (* a d) c)))
b
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
b
(* -1 (* b (- (/ (* a d) (* b c)) 1)))
(* -1 (* b (- (/ (* a d) (* b c)) 1)))
(* -1 (* b (- (/ (* a d) (* b c)) 1)))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* a (+ (* -1 d) (/ (* b c) a)))
(* a (+ (* -1 d) (/ (* b c) a)))
(* a (+ (* -1 d) (/ (* b c) a)))
(* -1 (* a d))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(* b c)
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* -1 (* a d))
(* d (+ (* -1 a) (/ (* b c) d)))
(* d (+ (* -1 a) (/ (* b c) d)))
(* d (+ (* -1 a) (/ (* b c) d)))
(* -1 (* a d))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(* -1 (* a d))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* b c)
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* c (+ b (* -1 (/ (* a d) c))))
(* b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(* -1 (* a d))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(+ (* -1 (* a d)) (* b c))
(* b c)
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b (+ c (* -1 (/ (* a d) b))))
(* b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
Outputs
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (*.f64 c (*.f64 c c))) (/.f64 a (*.f64 c c)))) (/.f64 b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 d (fma.f64 d (fma.f64 a (/.f64 d (*.f64 c (*.f64 c (*.f64 c c)))) (neg.f64 (/.f64 b (*.f64 c (*.f64 c c))))) (neg.f64 (/.f64 a (*.f64 c c)))) (/.f64 b c))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/.f64 (fma.f64 b (/.f64 c d) (fma.f64 a (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 a))) d)
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (-.f64 (/.f64 (*.f64 b c) d) a) (/.f64 (*.f64 b (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))) d)
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 a (/.f64 (fma.f64 b c (/.f64 (*.f64 a (*.f64 c c)) d)) d)) (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d))
(/.f64 (-.f64 a (/.f64 (-.f64 (*.f64 b c) (/.f64 (-.f64 (*.f64 b (/.f64 (*.f64 c (*.f64 c c)) d)) (*.f64 a (*.f64 c c))) d)) d)) (neg.f64 d))
(* -1 (/ a d))
(/.f64 a (neg.f64 d))
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 c (fma.f64 c (/.f64 a (*.f64 d (*.f64 d d))) (/.f64 b (*.f64 d d))) (/.f64 a (neg.f64 d)))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d d))) (/.f64 (*.f64 b c) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (+.f64 b (/.f64 (neg.f64 (fma.f64 b (/.f64 (*.f64 d d) c) (*.f64 a d))) c)) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 b (fma.f64 a (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (/.f64 (neg.f64 (fma.f64 b (/.f64 (*.f64 d d) c) (*.f64 a d))) c))) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 a d) c) b) c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (neg.f64 (fma.f64 b (/.f64 (*.f64 d d) c) (*.f64 a d))) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/.f64 (-.f64 (neg.f64 b) (/.f64 (neg.f64 (fma.f64 a d (/.f64 (-.f64 (*.f64 b (*.f64 d d)) (*.f64 (*.f64 d (*.f64 d d)) (/.f64 a c))) c))) c)) (neg.f64 c))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(neg.f64 (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 c c (*.f64 d d)))) (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(neg.f64 (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b c) (*.f64 a (fma.f64 c c (*.f64 d d))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b c) (*.f64 a (fma.f64 c c (*.f64 d d))))))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (neg.f64 a) (-.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b c) (*.f64 a (fma.f64 c c (*.f64 d d))))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(neg.f64 (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(-.f64 (/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 b (-.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 c c (*.f64 d d))))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 b (-.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 c c (*.f64 d d))))))
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 b (-.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 c c (*.f64 d d))))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 a d) (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 a d) (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 a d) (*.f64 b (fma.f64 c c (*.f64 d d)))) (/.f64 c (fma.f64 c c (*.f64 d d)))))
(/ c b)
(/.f64 c b)
(+ (/ c b) (/ (* a d) (pow b 2)))
(fma.f64 a (/.f64 d (*.f64 b b)) (/.f64 c b))
(+ (* d (- (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b))
(fma.f64 d (fma.f64 d (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b c)))) (/.f64 #s(literal 1 binary64) (*.f64 b c))) (/.f64 a (*.f64 b b))) (/.f64 c b))
(+ (* d (- (* d (- (+ (/ 1 (* b c)) (/ (* a (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c)))))) (* b c))) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b))
(fma.f64 d (fma.f64 d (fma.f64 a (*.f64 (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b c)))) (/.f64 #s(literal 1 binary64) (*.f64 b c))) (/.f64 d (*.f64 b c))) (fma.f64 a (/.f64 a (*.f64 b (*.f64 b (*.f64 b c)))) (/.f64 #s(literal 1 binary64) (*.f64 b c)))) (/.f64 a (*.f64 b b))) (/.f64 c b))
(* -1 (/ d a))
(/.f64 d (neg.f64 a))
(* d (- (* -1 (/ (* b c) (* (pow a 2) d))) (/ 1 a)))
(*.f64 (fma.f64 b (/.f64 c (*.f64 a (*.f64 a d))) (/.f64 #s(literal 1 binary64) a)) (neg.f64 d))
(* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2)))))))
(*.f64 d (neg.f64 (fma.f64 c (/.f64 c (*.f64 a (*.f64 d d))) (fma.f64 (*.f64 c c) (/.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a (*.f64 d d))))) (fma.f64 b (/.f64 c (*.f64 a (*.f64 a d))) (/.f64 #s(literal 1 binary64) a))))))
(* d (- (+ (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ (* b (* c (- (* -1 (/ (pow c 2) a)) (/ (* (pow b 2) (pow c 2)) (pow a 3))))) (* a (pow d 3)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2)))))))
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(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
(/ b c)
(/.f64 b c)
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(fma.f64 b (/.f64 (*.f64 a (neg.f64 d)) (*.f64 b (*.f64 c c))) (/.f64 b c))
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(fma.f64 b (/.f64 (*.f64 a (neg.f64 d)) (*.f64 b (*.f64 c c))) (/.f64 b c))
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c)))
(fma.f64 b (/.f64 (*.f64 a (neg.f64 d)) (*.f64 b (*.f64 c c))) (/.f64 b c))
(/ b c)
(/.f64 b c)
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(neg.f64 (*.f64 b (fma.f64 d (/.f64 a (*.f64 b (*.f64 c c))) (/.f64 #s(literal -1 binary64) c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(neg.f64 (*.f64 b (fma.f64 d (/.f64 a (*.f64 b (*.f64 c c))) (/.f64 #s(literal -1 binary64) c))))
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c))))
(neg.f64 (*.f64 b (fma.f64 d (/.f64 a (*.f64 b (*.f64 c c))) (/.f64 #s(literal -1 binary64) c))))
b
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(* -1 (/ (* a d) c))
(neg.f64 (/.f64 (*.f64 a d) c))
(* a (+ (* -1 (/ d c)) (/ b a)))
(*.f64 a (-.f64 (/.f64 b a) (/.f64 d c)))
(* a (+ (* -1 (/ d c)) (/ b a)))
(*.f64 a (-.f64 (/.f64 b a) (/.f64 d c)))
(* a (+ (* -1 (/ d c)) (/ b a)))
(*.f64 a (-.f64 (/.f64 b a) (/.f64 d c)))
(* -1 (/ (* a d) c))
(neg.f64 (/.f64 (*.f64 a d) c))
(* -1 (* a (+ (* -1 (/ b a)) (/ d c))))
(neg.f64 (*.f64 a (-.f64 (/.f64 d c) (/.f64 b a))))
(* -1 (* a (+ (* -1 (/ b a)) (/ d c))))
(neg.f64 (*.f64 a (-.f64 (/.f64 d c) (/.f64 b a))))
(* -1 (* a (+ (* -1 (/ b a)) (/ d c))))
(neg.f64 (*.f64 a (-.f64 (/.f64 d c) (/.f64 b a))))
b
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(* -1 (/ (* a d) c))
(neg.f64 (/.f64 (*.f64 a d) c))
(* d (+ (* -1 (/ a c)) (/ b d)))
(*.f64 d (-.f64 (/.f64 b d) (/.f64 a c)))
(* d (+ (* -1 (/ a c)) (/ b d)))
(*.f64 d (-.f64 (/.f64 b d) (/.f64 a c)))
(* d (+ (* -1 (/ a c)) (/ b d)))
(*.f64 d (-.f64 (/.f64 b d) (/.f64 a c)))
(* -1 (/ (* a d) c))
(neg.f64 (/.f64 (*.f64 a d) c))
(* -1 (* d (+ (* -1 (/ b d)) (/ a c))))
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ b d)) (/ a c))))
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) (neg.f64 d))
(* -1 (* d (+ (* -1 (/ b d)) (/ a c))))
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) (neg.f64 d))
(* -1 (/ (* a d) c))
(neg.f64 (/.f64 (*.f64 a d) c))
(/ (+ (* -1 (* a d)) (* b c)) c)
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) c)
(/ (+ (* -1 (* a d)) (* b c)) c)
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) c)
(/ (+ (* -1 (* a d)) (* b c)) c)
(/.f64 (fma.f64 b c (*.f64 a (neg.f64 d))) c)
b
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
b
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(* -1 (/ (* a d) c))
(neg.f64 (/.f64 (*.f64 a d) c))
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
(+ b (* -1 (/ (* a d) c)))
(-.f64 b (/.f64 (*.f64 a d) c))
b
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
(-.f64 b (*.f64 (/.f64 (*.f64 a d) (*.f64 b c)) b))
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
(-.f64 b (*.f64 (/.f64 (*.f64 a d) (*.f64 b c)) b))
(* b (+ 1 (* -1 (/ (* a d) (* b c)))))
(-.f64 b (*.f64 (/.f64 (*.f64 a d) (*.f64 b c)) b))
b
(* -1 (* b (- (/ (* a d) (* b c)) 1)))
(neg.f64 (*.f64 b (fma.f64 d (/.f64 a (*.f64 b c)) #s(literal -1 binary64))))
(* -1 (* b (- (/ (* a d) (* b c)) 1)))
(neg.f64 (*.f64 b (fma.f64 d (/.f64 a (*.f64 b c)) #s(literal -1 binary64))))
(* -1 (* b (- (/ (* a d) (* b c)) 1)))
(neg.f64 (*.f64 b (fma.f64 d (/.f64 a (*.f64 b c)) #s(literal -1 binary64))))
(* b c)
(*.f64 b c)
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(* a (+ (* -1 d) (/ (* b c) a)))
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d))
(* a (+ (* -1 d) (/ (* b c) a)))
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d))
(* a (+ (* -1 d) (/ (* b c) a)))
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(*.f64 (neg.f64 a) (-.f64 d (/.f64 (*.f64 b c) a)))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(*.f64 (neg.f64 a) (-.f64 d (/.f64 (*.f64 b c) a)))
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(*.f64 (neg.f64 a) (-.f64 d (/.f64 (*.f64 b c) a)))
(* b c)
(*.f64 b c)
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(* d (+ (* -1 a) (/ (* b c) d)))
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))
(* d (+ (* -1 a) (/ (* b c) d)))
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))
(* d (+ (* -1 a) (/ (* b c) d)))
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(neg.f64 (*.f64 d (fma.f64 (neg.f64 b) (/.f64 c d) a)))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(neg.f64 (*.f64 d (fma.f64 (neg.f64 b) (/.f64 c d) a)))
(* -1 (* d (+ a (* -1 (/ (* b c) d)))))
(neg.f64 (*.f64 d (fma.f64 (neg.f64 b) (/.f64 c d) a)))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(* b c)
(*.f64 b c)
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))
(* b c)
(*.f64 b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(neg.f64 (*.f64 c (-.f64 (/.f64 (*.f64 a d) c) b)))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(neg.f64 (*.f64 c (-.f64 (/.f64 (*.f64 a d) c) b)))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(neg.f64 (*.f64 c (-.f64 (/.f64 (*.f64 a d) c) b)))
(* -1 (* a d))
(*.f64 a (neg.f64 d))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(+ (* -1 (* a d)) (* b c))
(fma.f64 b c (*.f64 a (neg.f64 d)))
(* b c)
(*.f64 b c)
(* b (+ c (* -1 (/ (* a d) b))))
(*.f64 b (-.f64 c (/.f64 (*.f64 a d) b)))
(* b (+ c (* -1 (/ (* a d) b))))
(*.f64 b (-.f64 c (/.f64 (*.f64 a d) b)))
(* b (+ c (* -1 (/ (* a d) b))))
(*.f64 b (-.f64 c (/.f64 (*.f64 a d) b)))
(* b c)
(*.f64 b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(neg.f64 (*.f64 b (-.f64 (/.f64 (*.f64 a d) b) c)))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(neg.f64 (*.f64 b (-.f64 (/.f64 (*.f64 a d) b) c)))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(neg.f64 (*.f64 b (-.f64 (/.f64 (*.f64 a d) b) c)))

eval197.0ms (2.2%)

Memory
14.7MiB live, 301.6MiB allocated
Compiler

Compiled 32 883 to 3 078 computations (90.6% saved)

prune184.0ms (2.1%)

Memory
-21.2MiB live, 320.2MiB allocated
Pruning

22 alts after pruning (11 fresh and 11 done)

PrunedKeptTotal
New1 67521 677
Fresh2911
Picked055
Done066
Total1 677221 699
Accuracy
100.0%
Counts
1 699 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)
30.6%
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (fma.f64 d d (*.f64 c c)) c) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d) b)) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d) (/.f64 (fma.f64 d d (*.f64 c c)) c)))
52.6%
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)
55.5%
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
62.9%
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
37.9%
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))
19.4%
(/.f64 (/.f64 (*.f64 (neg.f64 a) d) c) c)
35.8%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
26.4%
(/.f64 (*.f64 (neg.f64 a) d) (*.f64 d d))
42.8%
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
37.3%
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
18.5%
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
40.8%
(/.f64 b c)
42.0%
(/.f64 a (neg.f64 d))
62.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a (neg.f64 d) (*.f64 c b))))
40.4%
(/.f64 #s(literal 1 binary64) (/.f64 c b))
20.4%
(*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d)
21.4%
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
40.7%
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
41.9%
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
19.9%
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
44.8%
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
Compiler

Compiled 849 to 297 computations (65% saved)

regimes63.0ms (0.7%)

Memory
18.4MiB live, 56.3MiB allocated
Counts
44 → 5
Calls
Call 1
Inputs
(/.f64 b c)
(/.f64 a (neg.f64 d))
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
(*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d)
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 d d))
(/.f64 (*.f64 (neg.f64 a) d) (*.f64 d d))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
(/.f64 (/.f64 (*.f64 (neg.f64 a) d) c) c)
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)
(/.f64 (*.f64 a (neg.f64 d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 d (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c))))
(*.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) (*.f64 c c))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c (neg.f64 b) (*.f64 d a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a (neg.f64 d) (*.f64 c b))))
(/.f64 (*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) (+.f64 (*.f64 c c) (*.f64 d d)))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 c (*.f64 d d))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))))
(fma.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b (neg.f64 (/.f64 (*.f64 d a) (fma.f64 c c (*.f64 d d)))))
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (fma.f64 d d (*.f64 c c)) c) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d) b)) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d) (/.f64 (fma.f64 d d (*.f64 c c)) c)))
Outputs
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))))
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
Calls

5 calls:

13.0ms
c
12.0ms
b
12.0ms
d
12.0ms
a
11.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
69.6%3a
67.9%2b
85.7%5c
88.8%5d
76.8%2(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes14.0ms (0.2%)

Memory
-32.6MiB live, 7.4MiB allocated
Counts
38 → 5
Calls
Call 1
Inputs
(/.f64 b c)
(/.f64 a (neg.f64 d))
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
(*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d)
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 d d))
(/.f64 (*.f64 (neg.f64 a) d) (*.f64 d d))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
(/.f64 (/.f64 (*.f64 (neg.f64 a) d) c) c)
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)
(/.f64 (*.f64 a (neg.f64 d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 d (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c))))
(*.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) (*.f64 c c))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c (neg.f64 b) (*.f64 d a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a (neg.f64 d) (*.f64 c b))))
(/.f64 (*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) (+.f64 (*.f64 c c) (*.f64 d d)))
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 c (*.f64 d d))))
Outputs
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)
(*.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))))
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
Calls

1 calls:

13.0ms
d
Results
AccuracySegmentsBranch
87.3%5d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
32 → 5
Calls
Call 1
Inputs
(/.f64 b c)
(/.f64 a (neg.f64 d))
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
(*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d)
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 d d))
(/.f64 (*.f64 (neg.f64 a) d) (*.f64 d d))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
(/.f64 (/.f64 (*.f64 (neg.f64 a) d) c) c)
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)
(/.f64 (*.f64 a (neg.f64 d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 d (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c))))
Outputs
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
87.3%5d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
30 → 5
Calls
Call 1
Inputs
(/.f64 b c)
(/.f64 a (neg.f64 d))
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
(*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d)
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 d d))
(/.f64 (*.f64 (neg.f64 a) d) (*.f64 d d))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
(/.f64 (/.f64 (*.f64 (neg.f64 a) d) c) c)
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)
(/.f64 (*.f64 a (neg.f64 d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
Outputs
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c)))
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
87.3%5d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes17.0ms (0.2%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
(/.f64 b c)
(/.f64 a (neg.f64 d))
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
(*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d)
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 d d))
(/.f64 (*.f64 (neg.f64 a) d) (*.f64 d d))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
(/.f64 (/.f64 (*.f64 (neg.f64 a) d) c) c)
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)
(/.f64 (*.f64 a (neg.f64 d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)
Outputs
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c)
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
Calls

2 calls:

8.0ms
c
8.0ms
d
Results
AccuracySegmentsBranch
79.4%3c
81.2%3d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.1%)

Memory
-24.1MiB live, 14.7MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
(/.f64 b c)
(/.f64 a (neg.f64 d))
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
(*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d)
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 d d))
(/.f64 (*.f64 (neg.f64 a) d) (*.f64 d d))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
(/.f64 (/.f64 (*.f64 (neg.f64 a) d) c) c)
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)
(/.f64 (*.f64 a (neg.f64 d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
81.1%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes22.0ms (0.2%)

Memory
22.0MiB live, 22.0MiB allocated
Counts
24 → 5
Calls
Call 1
Inputs
(/.f64 b c)
(/.f64 a (neg.f64 d))
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
(*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d)
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 d d))
(/.f64 (*.f64 (neg.f64 a) d) (*.f64 d d))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
(/.f64 (/.f64 (*.f64 (neg.f64 a) d) c) c)
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
Outputs
(/.f64 a (neg.f64 d))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
(/.f64 a (neg.f64 d))
Calls

3 calls:

7.0ms
c
7.0ms
d
7.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
61.3%5(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
72.4%6c
79.2%5d
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes9.0ms (0.1%)

Memory
-26.3MiB live, 12.6MiB allocated
Counts
23 → 5
Calls
Call 1
Inputs
(/.f64 b c)
(/.f64 a (neg.f64 d))
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
(*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d)
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 d d))
(/.f64 (*.f64 (neg.f64 a) d) (*.f64 d d))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
(/.f64 (/.f64 (*.f64 (neg.f64 a) d) c) c)
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))
Outputs
(/.f64 a (neg.f64 d))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
(/.f64 b c)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d))
(/.f64 a (neg.f64 d))
Calls

1 calls:

8.0ms
d
Results
AccuracySegmentsBranch
73.6%5d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
20 → 5
Calls
Call 1
Inputs
(/.f64 b c)
(/.f64 a (neg.f64 d))
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
(*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d)
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 d d))
(/.f64 (*.f64 (neg.f64 a) d) (*.f64 d d))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 c c))
Outputs
(/.f64 a (neg.f64 d))
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d)))
(/.f64 b c)
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
(/.f64 a (neg.f64 d))
Calls

2 calls:

6.0ms
d
6.0ms
a
Results
AccuracySegmentsBranch
60.6%4a
72.7%5d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
17 → 5
Calls
Call 1
Inputs
(/.f64 b c)
(/.f64 a (neg.f64 d))
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
(*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d)
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 d d))
(/.f64 (*.f64 (neg.f64 a) d) (*.f64 d d))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
Outputs
(/.f64 a (neg.f64 d))
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
(/.f64 b c)
(*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a)
(/.f64 a (neg.f64 d))
Calls

1 calls:

5.0ms
d
Results
AccuracySegmentsBranch
72.7%5d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.1%)

Memory
-20.8MiB live, 18.1MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(/.f64 b c)
(/.f64 a (neg.f64 d))
(*.f64 (/.f64 #s(literal -1 binary64) d) a)
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(/.f64 #s(literal 1 binary64) (/.f64 c b))
(neg.f64 (*.f64 d (/.f64 a (*.f64 c c))))
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c)))
(*.f64 (neg.f64 (/.f64 d (*.f64 c c))) a)
(*.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d)
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 c c))
(/.f64 (*.f64 a (neg.f64 d)) (*.f64 d d))
(/.f64 (*.f64 (neg.f64 a) d) (*.f64 d d))
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d)))
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))
Outputs
(/.f64 a (neg.f64 d))
(/.f64 b c)
(/.f64 a (neg.f64 d))
Calls

2 calls:

6.0ms
b
5.0ms
d
Results
AccuracySegmentsBranch
59.6%6b
67.9%3d
Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
c
1.0ms
b
1.0ms
d
1.0ms
a
1.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
40.8%1b
40.8%1(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
40.8%1a
40.8%1c
40.8%1d
Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch54.0ms (0.6%)

Memory
-3.4MiB live, 39.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
4.075657250369231e+143
3.0956538281012637e+147
12.0ms
2.537870928755301e-160
1.6977795025781972e-156
13.0ms
-2.6528788968842e-41
-2.3209079485425627e-49
12.0ms
-1.8130948049088302e+117
-3.26062153152367e+113
Samples
32.0ms528×0valid
Compiler

Compiled 1 359 to 794 computations (41.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (60.8% of total)
ival-div: 3.0ms (15.2% of total)
ival-sub: 2.0ms (10.1% of total)
ival-add: 2.0ms (10.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch52.0ms (0.6%)

Memory
12.3MiB live, 50.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
7.122578895894498e+98
1.0840421702404067e+108
10.0ms
1.6977795025781972e-156
3.623278252523246e-155
13.0ms
-2.6528788968842e-41
-2.3209079485425627e-49
9.0ms
-2.964740835418396e+100
-2.0684995996643598e+99
Samples
32.0ms496×0valid
Compiler

Compiled 1 108 to 701 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (59% of total)
ival-div: 4.0ms (19.7% of total)
ival-sub: 2.0ms (9.8% of total)
ival-add: 2.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.6%)

Memory
1.9MiB live, 39.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
7.122578895894498e+98
1.0840421702404067e+108
13.0ms
1.6977795025781972e-156
3.623278252523246e-155
14.0ms
-2.6528788968842e-41
-2.3209079485425627e-49
9.0ms
-2.964740835418396e+100
-2.0684995996643598e+99
Samples
34.0ms496×0valid
Compiler

Compiled 1 076 to 669 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 12.0ms (56.3% of total)
ival-add: 4.0ms (18.8% of total)
ival-div: 3.0ms (14.1% of total)
ival-sub: 2.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch52.0ms (0.6%)

Memory
6.1MiB live, 44.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
7.122578895894498e+98
1.0840421702404067e+108
12.0ms
1.6977795025781972e-156
3.623278252523246e-155
13.0ms
-2.6528788968842e-41
-2.3209079485425627e-49
9.0ms
-2.964740835418396e+100
-2.0684995996643598e+99
Samples
31.0ms496×0valid
Compiler

Compiled 1 061 to 654 computations (38.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 11.0ms (58.7% of total)
ival-div: 3.0ms (16% of total)
ival-sub: 2.0ms (10.7% of total)
ival-add: 2.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Memory
-36.2MiB live, 20.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.4693892203129976e-73
1.485161194532772e-70
13.0ms
-5.997841653453756e-24
-4.909827181860829e-29
Samples
17.0ms272×0valid
Compiler

Compiled 515 to 341 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (58.4% of total)
ival-div: 2.0ms (19.5% of total)
ival-sub: 1.0ms (9.7% of total)
ival-add: 1.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
25.9MiB live, 25.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.4693892203129976e-73
1.485161194532772e-70
13.0ms
-5.997841653453756e-24
-4.909827181860829e-29
Samples
17.0ms272×0valid
Compiler

Compiled 498 to 324 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (58.6% of total)
ival-sub: 1.0ms (9.8% of total)
ival-div: 1.0ms (9.8% of total)
ival-add: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.6%)

Memory
6.8MiB live, 46.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
9.161894415899489e+136
2.1376418046056867e+138
12.0ms
1.4693892203129976e-73
1.485161194532772e-70
13.0ms
-5.997841653453756e-24
-4.909827181860829e-29
14.0ms
-9.285262217344491e+80
-3.024853292135676e+72
Samples
33.0ms528×0valid
Compiler

Compiled 932 to 613 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (60.2% of total)
ival-div: 3.0ms (15% of total)
ival-sub: 2.0ms (10% of total)
ival-add: 2.0ms (10% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch45.0ms (0.5%)

Memory
-10.8MiB live, 27.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
9.161894415899489e+136
2.1376418046056867e+138
9.0ms
1.483359908470227e-100
1.1289365476932113e-99
7.0ms
-2.3209079485425627e-49
-7.916641144191514e-50
15.0ms
-9.285262217344491e+80
-3.024853292135676e+72
Samples
27.0ms432×0valid
Compiler

Compiled 686 to 466 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 10.0ms (61.1% of total)
ival-sub: 2.0ms (12.2% of total)
ival-div: 2.0ms (12.2% of total)
ival-add: 2.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.5%)

Memory
-8.7MiB live, 29.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
4.075657250369231e+143
3.0956538281012637e+147
13.0ms
1.1289365476932113e-99
1.0043833013247627e-97
7.0ms
-2.3209079485425627e-49
-7.916641144191514e-50
9.0ms
-2.964740835418396e+100
-2.0684995996643598e+99
Samples
28.0ms416×0valid
Compiler

Compiled 660 to 448 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 10.0ms (64.5% of total)
ival-sub: 2.0ms (12.9% of total)
ival-div: 2.0ms (12.9% of total)
ival-add: 2.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Memory
21.5MiB live, 21.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
4.075657250369231e+143
3.0956538281012637e+147
10.0ms
1.1289365476932113e-99
1.0043833013247627e-97
7.0ms
-2.3209079485425627e-49
-7.916641144191514e-50
3.0ms
-1.4281108940451043e+91
-1.2817546168412257e+91
Samples
22.0ms352×0valid
Compiler

Compiled 560 to 380 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (60.8% of total)
ival-div: 2.0ms (15.2% of total)
ival-sub: 1.0ms (7.6% of total)
ival-add: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory
-27.0MiB live, 15.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.1289365476932113e-99
1.0043833013247627e-97
10.0ms
-2.3209079485425627e-49
-7.916641144191514e-50
Samples
15.0ms192×0valid
Compiler

Compiled 226 to 174 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (75.8% of total)
ival-sub: 1.0ms (9.5% of total)
ival-div: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Memory
12.6MiB live, 12.6MiB allocated
Algorithm
egg-herbie
Rules
38×*-commutative_binary64
30×+-commutative_binary64
28×sub-neg_binary64
26×neg-sub0_binary64
26×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148582
1183582
2212582
3237582
4251582
5257582
6258582
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 d #s(literal -70000000000000001089159129062679011698774097784474300335883940630158364681532899228548977294053321337334439660748800 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal -6318737500113431/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (if (<=.f64 d #s(literal 3338960419886911/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c) (if (<=.f64 d #s(literal 38000000000000001248910141393843861028830774275375386053546303991446094218906729334418413347914368056911947590103371673054051070631269578412392448 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -17999999999999999897718261530532710659157074050397725173125021793518205539544203961683388933500567552 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal -6318737500113431/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 8695209426788831/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) (/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c) (if (<=.f64 d #s(literal 4500000000000000207549832449720666175124697331421700090370076134636293935103540159089361458000161669120 binary64)) (*.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -17999999999999999897718261530532710659157074050397725173125021793518205539544203961683388933500567552 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal -7898421875141789/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 90575098195717/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c) (if (<=.f64 d #s(literal 3000000000000000069404399517656696404536793144588643566316797845858645804991355310208124052928813038829568 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -7200000000000000347621083057358898447555210984862871397731376527835186466180163532454212614441926656 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal -4739053125085073/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 d #s(literal 3562620529031535/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c) (if (<=.f64 d #s(literal 114999999999999992263130852302900630178718869286363639675273991421365143236035076644990204486906728677376 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -1080192345553827/174224571863520493293247799005065324265472 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal 4575373774970037/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))
(if (<=.f64 d #s(literal -6097860015223217/348449143727040986586495598010130648530944 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal 4506991829963691/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))
(if (<=.f64 d #s(literal -920000000000000016041654505600556948831806243417612291537078502654472470176727040 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 d #s(literal -5400961727769135/348449143727040986586495598010130648530944 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) (if (<=.f64 d #s(literal 4506991829963691/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) (if (<=.f64 d #s(literal 125999999999999994222197341786091701673633962869745476208481247244383833599515358322457297224423466620339481007095354169041529444560273408 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) (/.f64 a (neg.f64 d))))))
(if (<=.f64 d #s(literal -900000000000000013403525240944953826076375071089611321745074722150046737035689984 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 d #s(literal -2501166927128233/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) (if (<=.f64 d #s(literal 5713290898477199/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (/.f64 b c) (if (<=.f64 d #s(literal 579999999999999969468908584470212204418819186030746796266790564908981817652637391835086420340730962467499929796260649066275222691090792448 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) (/.f64 a (neg.f64 d))))))
(if (<=.f64 d #s(literal -7999999999999999738689350432933530190796265486452443783343694235770366767373822900869918947643752448 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 d #s(literal -8951544791827361/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (/.f64 b c) (if (<=.f64 d #s(literal 1050000000000000030131459653060188486988617419488398240790457754433405379463770814849001461762435502035765279035793830812191604381016282831435857920 binary64)) (*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a) (/.f64 a (neg.f64 d))))))
(if (<=.f64 d #s(literal -13999999999999999304621153724861406510890525201588187015797505562249289936557715464155824128 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 d #s(literal -5792176041770645/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a) (if (<=.f64 d #s(literal 3270674342474151/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (/.f64 b c) (if (<=.f64 d #s(literal 4199999999999999926438960023783713777465476787937733722611235741426461255921512616372514300655948395344852688853404856431381650225815103297552384 binary64)) (*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a) (/.f64 a (neg.f64 d))))))
(if (<=.f64 d #s(literal -3027728385471019/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 d #s(literal 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (/.f64 b c) (/.f64 a (neg.f64 d))))
(/.f64 b c)
Outputs
(if (<=.f64 d #s(literal -70000000000000001089159129062679011698774097784474300335883940630158364681532899228548977294053321337334439660748800 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal -6318737500113431/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (if (<=.f64 d #s(literal 3338960419886911/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c) (if (<=.f64 d #s(literal 38000000000000001248910141393843861028830774275375386053546303991446094218906729334418413347914368056911947590103371673054051070631269578412392448 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -17999999999999999897718261530532710659157074050397725173125021793518205539544203961683388933500567552 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal -6318737500113431/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 8695209426788831/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) (/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c) (if (<=.f64 d #s(literal 4500000000000000207549832449720666175124697331421700090370076134636293935103540159089361458000161669120 binary64)) (*.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -17999999999999999897718261530532710659157074050397725173125021793518205539544203961683388933500567552 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal -6318737500113431/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (+.f64 (*.f64 d d) (*.f64 c c))) (if (<=.f64 d #s(literal 8695209426788831/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) (/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c) (if (<=.f64 d #s(literal 4500000000000000207549832449720666175124697331421700090370076134636293935103540159089361458000161669120 binary64)) (*.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -17999999999999999897718261530532710659157074050397725173125021793518205539544203961683388933500567552 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal -7898421875141789/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 90575098195717/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c) (if (<=.f64 d #s(literal 3000000000000000069404399517656696404536793144588643566316797845858645804991355310208124052928813038829568 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -17999999999999999897718261530532710659157074050397725173125021793518205539544203961683388933500567552 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal -7898421875141789/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (+.f64 (*.f64 d d) (*.f64 c c))) (if (<=.f64 d #s(literal 90575098195717/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c) (if (<=.f64 d #s(literal 3000000000000000069404399517656696404536793144588643566316797845858645804991355310208124052928813038829568 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -7200000000000000347621083057358898447555210984862871397731376527835186466180163532454212614441926656 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal -4739053125085073/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 d #s(literal 3562620529031535/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c) (if (<=.f64 d #s(literal 114999999999999992263130852302900630178718869286363639675273991421365143236035076644990204486906728677376 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -7200000000000000347621083057358898447555210984862871397731376527835186466180163532454212614441926656 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal -4739053125085073/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 d #s(literal 3562620529031535/120766797594289323271729746591624604509341479053326093708038601607859973196548763266756055205685080561326988000984443036792658708157593364241965896045846273396780650463232 binary64)) (/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c) (if (<=.f64 d #s(literal 114999999999999992263130852302900630178718869286363639675273991421365143236035076644990204486906728677376 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -1080192345553827/174224571863520493293247799005065324265472 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal 4575373774970037/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112 binary64)) (/.f64 (fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) c) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))
(if (<=.f64 d #s(literal -6097860015223217/348449143727040986586495598010130648530944 binary64)) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (if (<=.f64 d #s(literal 4506991829963691/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))
(if (<=.f64 d #s(literal -920000000000000016041654505600556948831806243417612291537078502654472470176727040 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 d #s(literal -5400961727769135/348449143727040986586495598010130648530944 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) (if (<=.f64 d #s(literal 4506991829963691/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) (if (<=.f64 d #s(literal 125999999999999994222197341786091701673633962869745476208481247244383833599515358322457297224423466620339481007095354169041529444560273408 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) (/.f64 a (neg.f64 d))))))
(if (<=.f64 d #s(literal -920000000000000016041654505600556948831806243417612291537078502654472470176727040 binary64)) (/.f64 (neg.f64 a) d) (if (<=.f64 d #s(literal -5400961727769135/348449143727040986586495598010130648530944 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (*.f64 d d)) (if (<=.f64 d #s(literal 4506991829963691/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) (if (<=.f64 d #s(literal 125999999999999994222197341786091701673633962869745476208481247244383833599515358322457297224423466620339481007095354169041529444560273408 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (*.f64 d d)) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -900000000000000013403525240944953826076375071089611321745074722150046737035689984 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 d #s(literal -2501166927128233/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) (if (<=.f64 d #s(literal 5713290898477199/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (/.f64 b c) (if (<=.f64 d #s(literal 579999999999999969468908584470212204418819186030746796266790564908981817652637391835086420340730962467499929796260649066275222691090792448 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (*.f64 d d)) (/.f64 a (neg.f64 d))))))
(if (<=.f64 d #s(literal -900000000000000013403525240944953826076375071089611321745074722150046737035689984 binary64)) (/.f64 (neg.f64 a) d) (if (<=.f64 d #s(literal -2501166927128233/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (*.f64 d d)) (if (<=.f64 d #s(literal 5713290898477199/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) (/.f64 b c) (if (<=.f64 d #s(literal 579999999999999969468908584470212204418819186030746796266790564908981817652637391835086420340730962467499929796260649066275222691090792448 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (*.f64 d d)) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -7999999999999999738689350432933530190796265486452443783343694235770366767373822900869918947643752448 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 d #s(literal -8951544791827361/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (/.f64 b c) (if (<=.f64 d #s(literal 1050000000000000030131459653060188486988617419488398240790457754433405379463770814849001461762435502035765279035793830812191604381016282831435857920 binary64)) (*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a) (/.f64 a (neg.f64 d))))))
(if (<=.f64 d #s(literal -7999999999999999738689350432933530190796265486452443783343694235770366767373822900869918947643752448 binary64)) (/.f64 (neg.f64 a) d) (if (<=.f64 d #s(literal -8951544791827361/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 c c (*.f64 d d)))) (if (<=.f64 d #s(literal 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (/.f64 b c) (if (<=.f64 d #s(literal 1050000000000000030131459653060188486988617419488398240790457754433405379463770814849001461762435502035765279035793830812191604381016282831435857920 binary64)) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c))))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -13999999999999999304621153724861406510890525201588187015797505562249289936557715464155824128 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 d #s(literal -5792176041770645/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a) (if (<=.f64 d #s(literal 3270674342474151/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (/.f64 b c) (if (<=.f64 d #s(literal 4199999999999999926438960023783713777465476787937733722611235741426461255921512616372514300655948395344852688853404856431381650225815103297552384 binary64)) (*.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) a) (/.f64 a (neg.f64 d))))))
(if (<=.f64 d #s(literal -13999999999999999304621153724861406510890525201588187015797505562249289936557715464155824128 binary64)) (/.f64 (neg.f64 a) d) (if (<=.f64 d #s(literal -5792176041770645/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c))))) (if (<=.f64 d #s(literal 3270674342474151/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784 binary64)) (/.f64 b c) (if (<=.f64 d #s(literal 4199999999999999926438960023783713777465476787937733722611235741426461255921512616372514300655948395344852688853404856431381650225815103297552384 binary64)) (neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c))))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -3027728385471019/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 a (neg.f64 d)) (if (<=.f64 d #s(literal 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (/.f64 b c) (/.f64 a (neg.f64 d))))
(if (<=.f64 d #s(literal -3027728385471019/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (/.f64 (neg.f64 a) d) (if (<=.f64 d #s(literal 7695704335233297/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (/.f64 b c) (/.f64 (neg.f64 a) d)))
(/.f64 b c)

soundness917.0ms (10.4%)

Memory
7.7MiB live, 207.1MiB allocated
Rules
9 454×accelerator-lowering-fma.f32
9 454×accelerator-lowering-fma.f64
9 014×accelerator-lowering-fma.f32
9 014×accelerator-lowering-fma.f64
7 930×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026138
1164137
21407129
08277122
05295397
116255185
247635081
081564864
01135
15835
249835
3638635
0818833
01911511
16231461
218631441
354841432
084871356
027113
1146106
21135106
08721103
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 398 to 602 computations (56.9% saved)

preprocess134.0ms (1.5%)

Memory
-11.7MiB live, 65.9MiB allocated
Compiler

Compiled 1 330 to 358 computations (73.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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