Complex division, imag part

Time bar (total: 7.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze23.0ms (0.3%)

Memory
22.8MiB live, 22.8MiB 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)

sample891.0ms (11.2%)

Memory
-5.4MiB live, 1 127.8MiB allocated
Samples
563.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 363.0ms
ival-mult: 229.0ms (63.1% of total)
ival-div: 54.0ms (14.9% of total)
ival-sub: 37.0ms (10.2% of total)
ival-add: 33.0ms (9.1% of total)
ival-true: 6.0ms (1.7% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain446.0ms (5.6%)

Memory
11.5MiB live, 250.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
910-1(3.546124967993896e-18 5.013122486704736e+55 2.3048112396571014e-198 -2.638445881083534e-161)(/.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/o430
(*.f64 b c)overflow24
(-.f64 (*.f64 b c) (*.f64 a d))overflow52
(*.f64 a d)overflow30
(+.f64 (*.f64 c c) (*.f64 d d))overflow120
(*.f64 c c)overflow63
(*.f64 d d)overflow74
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/o310
(+.f64 (*.f64 c c) (*.f64 d d))overflow120
(*.f64 c c)overflow63
(*.f64 d d)overflow74
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))o/n90
(*.f64 b c)overflow24
(-.f64 (*.f64 b c) (*.f64 a d))overflow52
(*.f64 a d)overflow30
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))n/u50
(+.f64 (*.f64 c c) (*.f64 d d))underflow11
(*.f64 c c)underflow54
(*.f64 d d)underflow58
-.f64(-.f64 (*.f64 b c) (*.f64 a d))nan-rescue20
(*.f64 b c)overflow24
(*.f64 a d)overflow30
/.f64(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))u/u20
(*.f64 b c)underflow33
(-.f64 (*.f64 b c) (*.f64 a d))underflow2
(*.f64 a d)underflow27
(+.f64 (*.f64 c c) (*.f64 d d))underflow11
(*.f64 c c)underflow54
(*.f64 d d)underflow58
Confusion
Predicted +Predicted -
+901
-0165
Precision
1.0
Recall
0.989010989010989
Confusion?
Predicted +Predicted MaybePredicted -
+9001
-00165
Precision?
1.0
Recall?
0.989010989010989
Freqs
test
numberfreq
0166
188
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
370.0ms512×0valid
Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 13.0ms (62% of total)
ival-div: 3.0ms (14.3% of total)
ival-sub: 2.0ms (9.5% of total)
ival-add: 2.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess315.0ms (4%)

Memory
5.5MiB live, 82.8MiB allocated
Algorithm
egg-herbie
Rules
1 350×unsub-neg
982×div-sub
876×distribute-rgt-in
874×distribute-lft-in
752×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060214
1202214
2402214
3976214
42796214
54580214
65390214
75495214
85515214
95531214
105531214
115995214
126203214
136203214
146203214
156299214
166299214
176371214
186403214
196403214
206403214
01115
01815
12915
25115
38115
414015
523915
638215
763015
8109215
9176615
10200715
11204715
12207515
13207515
0207514
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Outputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.8%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify48.0ms (0.6%)

Memory
-0.1MiB live, 38.7MiB 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×lower-fma.f64
752×lower-fma.f32
636×times-frac
512×lower-*.f32
504×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01845
12945
25145
38145
414045
523945
638245
763045
8109245
9176645
10200745
11204745
12207545
13207545
0207543
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
Outputs
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(*.f64 b c)
(*.f64 c b)
b
c
(*.f64 a d)
(*.f64 d a)
a
d
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(*.f64 d d)

localize41.0ms (0.5%)

Memory
-1.8MiB live, 37.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a d)
accuracy0.00390625
(+.f64 (*.f64 c c) (*.f64 d d))
accuracy0.46093543583020585
(-.f64 (*.f64 b c) (*.f64 a d))
accuracy21.709078187541767
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
32.0ms256×0valid
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 (59.6% of total)
ival-sub: 1.0ms (9.9% of total)
ival-div: 1.0ms (9.9% of total)
ival-add: 1.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
5 → 168
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())
Outputs
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ())
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)))

simplify143.0ms (1.8%)

Memory
-13.0MiB live, 136.8MiB allocated
Algorithm
egg-herbie
Rules
7 930×lower-fma.f64
7 930×lower-fma.f32
3 586×lower-*.f64
3 586×lower-*.f32
2 316×lower-/.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 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(fma.f64 c c (*.f64 d d))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(fma.f64 c c (*.f64 d d))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.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))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.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))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.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))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (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)))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (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)))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (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)))))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (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)))))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(* -1 (/ a d))
(/.f64 (neg.f64 a) 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)))))
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) 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 (fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (*.f64 (*.f64 d d) d))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 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 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) 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 a d (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 d) d) d) (/.f64 a c) (*.f64 b (*.f64 d d))) c)) c)) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) 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 a d (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 d) d) d) (/.f64 a c) (*.f64 b (*.f64 d d))) c)) c)) c)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.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))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.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))))
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.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 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 d) (/.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 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(/ 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))
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (*.f64 (*.f64 c c) c))) d (/.f64 (neg.f64 a) (*.f64 c c))) d (/.f64 b c))
(* -1 (/ a d))
(/.f64 (neg.f64 a) 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 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) 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 b c (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 c) c) c) (/.f64 b d) (*.f64 (*.f64 a c) c)) d)) d) a) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) 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 b c (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 c) c) c) (/.f64 b d) (*.f64 (*.f64 a c) c)) d)) d) a) d)
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* b c)
(*.f64 b c)
(* b (+ c (* -1 (/ (* a d) b))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* b (+ c (* -1 (/ (* a d) b))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* b (+ c (* -1 (/ (* a d) b))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* b c)
(*.f64 b c)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(- (* b c) (* a d))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* b c)
(*.f64 b c)
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* c (+ b (* -1 (/ (* a d) c))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* b c)
(*.f64 b c)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* b c)
(*.f64 b c)
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(* a (- (/ (* b c) a) d))
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a)
(* a (- (/ (* b c) a) d))
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a)
(* a (- (/ (* b c) a) d))
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a)
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a)
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a)
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d))))
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a)
(* b c)
(*.f64 b c)
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(* d (- (/ (* b c) d) a))
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(* d (- (/ (* b c) d) a))
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(* d (- (/ (* b c) d) a))
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(* -1 (* a d))
(*.f64 (neg.f64 d) a)
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a))))
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* b c)
(*.f64 b c)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)
(* a d)
(*.f64 a d)

rewrite212.0ms (2.7%)

Memory
-32.2MiB live, 271.4MiB allocated
Rules
5 586×lower-fma.f64
5 586×lower-fma.f32
5 346×lower-*.f32
5 338×lower-*.f64
3 234×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
01835
16535
250535
3637635
0817833
Stop Event
iter limit
node limit
iter limit
Counts
5 → 478
Calls
Call 1
Inputs
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(*.f64 b c)
(*.f64 a d)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)) (*.f64 (fma.f64 (*.f64 c c) c (*.f64 (*.f64 d d) d)) (-.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (*.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c)) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 (neg.f64 d) d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 (neg.f64 d) d) (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 c c) c)) c (*.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (-.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (*.f64 (*.f64 (*.f64 c c) c) c)))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) (fma.f64 d d (*.f64 c c)))
(*.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 (+.f64 d c) (-.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c))) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c))) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))))
(*.f64 (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (-.f64 c d) (+.f64 d c))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c))))
(*.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c))))
(*.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
(*.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c)))))
(*.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c))))
(*.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c))))
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c)))))
(*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (*.f64 (-.f64 c d) (+.f64 d c))))
(*.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64))
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)) (+.f64 d c)) (-.f64 c d))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 d d) d) d (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c)))) (fma.f64 (*.f64 (*.f64 d d) d) d (*.f64 (*.f64 (*.f64 c c) c) c)))
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(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c)) (*.f64 (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))) (-.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))) (-.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)) (*.f64 a d)) (fma.f64 a d (*.f64 b c))) (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (*.f64 (*.f64 b b) c)) c (*.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)) (-.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)) (*.f64 (*.f64 (*.f64 b c) c) b)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (fma.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c) (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)))) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (*.f64 a d) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) (fma.f64 (neg.f64 d) a (*.f64 b c)) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 (*.f64 d #s(literal -1 binary64)) a (*.f64 b c))
(fma.f64 (*.f64 (*.f64 b c) c) (/.f64 b (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 (*.f64 (*.f64 b b) c) (/.f64 c (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(fma.f64 (*.f64 b b) (/.f64 (*.f64 c c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 (pow.f64 (*.f64 b c) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 b c) #s(literal 3/2 binary64)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))
(fma.f64 (*.f64 (*.f64 b b) b) (/.f64 (*.f64 (*.f64 c c) c) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))
(fma.f64 (*.f64 (*.f64 c c) c) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))
(fma.f64 #s(literal -1 binary64) (*.f64 a d) (*.f64 b c))
(fma.f64 (neg.f64 a) d (*.f64 b c))
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (/.f64 (*.f64 b c) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (/.f64 #s(literal 1 binary64) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))
(fma.f64 (*.f64 a d) #s(literal -1 binary64) (*.f64 b c))
(fma.f64 a (neg.f64 d) (*.f64 b c))
(fma.f64 (*.f64 b c) (/.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))
(fma.f64 (*.f64 b c) (/.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 b (/.f64 (*.f64 (*.f64 b c) c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 b c (*.f64 (neg.f64 d) a))
(fma.f64 d (neg.f64 a) (*.f64 b c))
(fma.f64 (*.f64 c c) (/.f64 (*.f64 b b) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 c (/.f64 (*.f64 (*.f64 b b) c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(fma.f64 c b (*.f64 (neg.f64 d) a))
(-.f64 (fma.f64 b c #s(literal 0 binary64)) (*.f64 a d))
(-.f64 (*.f64 (*.f64 (*.f64 b c) c) (/.f64 b (fma.f64 a d (*.f64 b c)))) (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (*.f64 (neg.f64 b) c)) (*.f64 (neg.f64 d) a))
(+.f64 (*.f64 (*.f64 (*.f64 b c) c) (/.f64 b (fma.f64 a d (*.f64 b c)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))
(+.f64 (*.f64 (neg.f64 d) a) (*.f64 b c))
(+.f64 (*.f64 b c) (*.f64 (neg.f64 d) a))
(*.f64 b c)
(*.f64 c b)
(*.f64 (neg.f64 (neg.f64 d)) a)
(*.f64 (neg.f64 (neg.f64 a)) d)
(*.f64 (neg.f64 d) (neg.f64 a))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 d) a))
(*.f64 (neg.f64 a) (neg.f64 d))
(*.f64 #s(literal 1 binary64) (*.f64 a d))
(*.f64 a (neg.f64 (neg.f64 d)))
(*.f64 a d)
(*.f64 d (neg.f64 (neg.f64 a)))
(*.f64 d a)
(neg.f64 (*.f64 (neg.f64 d) a))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 d) a))

eval70.0ms (0.9%)

Memory
39.4MiB live, 116.3MiB allocated
Compiler

Compiled 24 549 to 1 323 computations (94.6% saved)

prune100.0ms (1.3%)

Memory
-9.7MiB live, 149.6MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New63313646
Fresh000
Picked101
Done000
Total63413647
Accuracy
98.1%
Counts
647 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.5%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
65.7%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (+.f64 (*.f64 c c) (*.f64 d d)))
36.9%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
40.0%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
43.9%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
65.6%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))))
65.6%
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
53.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
53.9%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
46.9%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
44.3%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
42.8%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
43.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
Compiler

Compiled 418 to 248 computations (40.7% saved)

simplify131.0ms (1.7%)

Memory
-3.5MiB live, 34.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b c)
cost-diff0
(neg.f64 d)
cost-diff0
(fma.f64 (neg.f64 d) a (*.f64 b c))
cost-diff320
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
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)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
cost-diff0
(/.f64 a (fma.f64 c c (*.f64 d d)))
cost-diff0
(neg.f64 d)
cost-diff0
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
cost-diff0
(/.f64 b c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (+.f64 (*.f64 c c) (*.f64 d d)))
cost-diff128
(+.f64 (*.f64 c c) (*.f64 d d))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
Rules
1 584×lower-fma.f32
1 576×lower-fma.f64
1 120×lower-*.f32
1 108×lower-*.f64
980×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037248
060248
1102243
2176238
3353238
4787238
51457238
62679238
73944238
84786238
94848238
104851238
114855238
124855238
134955238
144995238
154995238
04995238
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
#s(literal -1 binary64)
(fma.f64 (neg.f64 b) c (*.f64 a d))
(neg.f64 b)
b
c
(*.f64 a d)
a
d
(+.f64 (*.f64 c c) (*.f64 d d))
(*.f64 c c)
(*.f64 d d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
(/.f64 b c)
b
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
(neg.f64 d)
d
(/.f64 a (fma.f64 c c (*.f64 d d)))
a
(fma.f64 c c (*.f64 d d))
c
(*.f64 d d)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(neg.f64 d)
d
a
(*.f64 b c)
b
c
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
#s(literal 1 binary64)
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
(fma.f64 (neg.f64 d) a (*.f64 c b))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
(/.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a)))
#s(literal -1 binary64)
(fma.f64 (neg.f64 b) c (*.f64 a d))
(fma.f64 c (neg.f64 b) (*.f64 d a))
(neg.f64 b)
b
c
(*.f64 a d)
(*.f64 d a)
a
d
(+.f64 (*.f64 c c) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
(*.f64 d d)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
(/.f64 b c)
b
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 d)))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 d))
(neg.f64 d)
d
(/.f64 a (fma.f64 c c (*.f64 d d)))
(/.f64 a (fma.f64 d d (*.f64 c c)))
a
(fma.f64 c c (*.f64 d d))
(fma.f64 d d (*.f64 c c))
c
(*.f64 d d)
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 (neg.f64 d) a (*.f64 c b))
(*.f64 b c)
(*.f64 c b)
b
c
(*.f64 a d)
(*.f64 d a)
a
d
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 d d (*.f64 c c)))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(fma.f64 (neg.f64 d) a (*.f64 c b))
(neg.f64 d)
d
a
(*.f64 b c)
(*.f64 c b)
b
c
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
#s(literal 1 binary64)
(fma.f64 d d (*.f64 c c))
(*.f64 c c)

localize89.0ms (1.1%)

Memory
12.3MiB live, 88.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 d)
accuracy0.2539034976055602
(fma.f64 (neg.f64 d) a (*.f64 b c))
accuracy0.6369853896261997
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
accuracy21.14965745697112
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
accuracy0
(*.f64 a d)
accuracy0.46093543583020585
(-.f64 (*.f64 b c) (*.f64 a d))
accuracy21.709078187541767
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
accuracy28.191411786226684
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy0.00390625
(fma.f64 c c (*.f64 d d))
accuracy6.871632968382563
(/.f64 a (fma.f64 c c (*.f64 d d)))
accuracy10.285648075753265
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
accuracy24.500777156664043
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
accuracy0
(/.f64 b c)
accuracy35.62605754975913
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
accuracy0.21875
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
accuracy0.2539034976055602
(fma.f64 (neg.f64 b) c (*.f64 a d))
accuracy0.4279859433739581
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
accuracy21.709078187541767
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (+.f64 (*.f64 c c) (*.f64 d d)))
Samples
50.0ms256×0valid
Compiler

Compiled 244 to 30 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 12.0ms (38.5% of total)
ival-div: 10.0ms (32.1% of total)
ival-add: 6.0ms (19.2% of total)
ival-neg: 2.0ms (6.4% of total)
ival-sub: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series81.0ms (1%)

Memory
-15.9MiB live, 67.5MiB allocated
Counts
20 → 732
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())
#s(alt (/.f64 a (fma.f64 c c (*.f64 d d))) (patch (/.f64 a (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (patch (*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 b) c (*.f64 a d)) (patch (fma.f64 (neg.f64 b) c (*.f64 a d)) #<representation binary64>) () ())
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (* a d)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 d) (/ (* b c) a))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 d) (/ (* b c) a))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 d) (/ (* b c) a))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ d (* -1 (/ (* b c) a))))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ d (* -1 (/ (* b c) a))))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ d (* -1 (/ (* b c) a))))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* b c) (taylor 0 d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* d (+ (* -1 a) (/ (* b c) d))) (taylor inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* d (+ (* -1 a) (/ (* b c) d))) (taylor inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor 0 d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))) (taylor 0 d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) (taylor 0 d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) (taylor 0 d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow d 2)) (taylor inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2)) (taylor inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2)) (taylor inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2)) (taylor inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow d 2)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow d 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2)) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2)) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2)) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ())
Calls

183 calls:

TimeVariablePointExpression
18.0ms
a
@0
(* (neg d) (/ a (+ (* c c) (* d d))))
8.0ms
d
@inf
(* (neg d) (/ a (+ (* c c) (* d d))))
3.0ms
d
@inf
(/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d)))
1.0ms
d
@inf
(/ -1 (+ (* (neg b) c) (* a d)))
1.0ms
a
@inf
(* (neg d) (/ a (+ (* c c) (* d d))))

simplify184.0ms (2.3%)

Memory
23.6MiB live, 214.5MiB allocated
Algorithm
egg-herbie
Rules
7 224×lower-fma.f64
7 224×lower-fma.f32
5 780×lower-*.f64
5 780×lower-*.f32
3 498×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06859870
122219434
274749392
080928946
Stop Event
iter limit
node limit
Counts
732 → 732
Calls
Call 1
Inputs
(* -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))))
(* -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))))
(* 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)))))
(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))) (/ 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)) (+ (* -1 (/ (* b (pow d 2)) (pow c 2))) (/ (* a (pow d 3)) (pow c 3))))) 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))
(/ (* 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))))))
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(* -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)
(/ 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))
(/ (* 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)))))))
(* -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)
(+ (* -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)))))
(* 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)))))
(* -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))))
(* -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))))
(* a d)
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(* -1 (* b c))
(* b (+ (* -1 c) (/ (* a d) b)))
(* b (+ (* -1 c) (/ (* a d) b)))
(* b (+ (* -1 c) (/ (* a d) b)))
(* -1 (* b c))
(* -1 (* b (+ c (* -1 (/ (* a d) b)))))
(* -1 (* b (+ c (* -1 (/ (* a d) b)))))
(* -1 (* b (+ c (* -1 (/ (* a d) b)))))
(* a d)
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(* -1 (* b c))
(* c (+ (* -1 b) (/ (* a d) c)))
(* c (+ (* -1 b) (/ (* a d) c)))
(* c (+ (* -1 b) (/ (* a d) c)))
(* -1 (* b c))
(* -1 (* c (+ b (* -1 (/ (* a d) c)))))
(* -1 (* c (+ b (* -1 (/ (* a d) c)))))
(* -1 (* c (+ b (* -1 (/ (* a d) c)))))
(* -1 (* b c))
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(* a d)
(* a (+ d (* -1 (/ (* b c) a))))
(* a (+ d (* -1 (/ (* b c) a))))
(* a (+ d (* -1 (/ (* b c) a))))
(* a d)
(* -1 (* a (+ (* -1 d) (/ (* b c) a))))
(* -1 (* a (+ (* -1 d) (/ (* b c) a))))
(* -1 (* a (+ (* -1 d) (/ (* b c) a))))
(* -1 (* b c))
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(* a d)
(* d (+ a (* -1 (/ (* b c) d))))
(* d (+ a (* -1 (/ (* b c) d))))
(* d (+ a (* -1 (/ (* b c) d))))
(* a d)
(* -1 (* d (+ (* -1 a) (/ (* b c) d))))
(* -1 (* d (+ (* -1 a) (/ (* b c) d))))
(* -1 (* d (+ (* -1 a) (/ (* b c) d))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(+ (pow 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 (pow c 2))
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ 1 (pow d 2))
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
Outputs
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(* b c)
(*.f64 c b)
(* b (+ c (* -1 (/ (* a d) b))))
(*.f64 (-.f64 c (/.f64 (*.f64 d a) b)) b)
(* b (+ c (* -1 (/ (* a d) b))))
(*.f64 (-.f64 c (/.f64 (*.f64 d a) b)) b)
(* b (+ c (* -1 (/ (* a d) b))))
(*.f64 (-.f64 c (/.f64 (*.f64 d a) b)) b)
(* b c)
(*.f64 c b)
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 d a) b) c))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 d a) b) c))
(* -1 (* b (+ (* -1 c) (/ (* a d) b))))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 d a) b) c))
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(* b c)
(*.f64 c b)
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(* c (+ b (* -1 (/ (* a d) c))))
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(* b c)
(*.f64 c b)
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(*.f64 (-.f64 (/.f64 (*.f64 d a) c) b) (neg.f64 c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(*.f64 (-.f64 (/.f64 (*.f64 d a) c) b) (neg.f64 c))
(* -1 (* c (+ (* -1 b) (/ (* a d) c))))
(*.f64 (-.f64 (/.f64 (*.f64 d a) c) b) (neg.f64 c))
(* b c)
(*.f64 c b)
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(* a (+ (* -1 d) (/ (* b c) a)))
(*.f64 (-.f64 (/.f64 (*.f64 c b) a) d) a)
(* a (+ (* -1 d) (/ (* b c) a)))
(*.f64 (-.f64 (/.f64 (*.f64 c b) a) d) a)
(* a (+ (* -1 d) (/ (* b c) a)))
(*.f64 (-.f64 (/.f64 (*.f64 c b) a) d) a)
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(*.f64 (-.f64 (/.f64 (*.f64 c b) a) d) a)
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(*.f64 (-.f64 (/.f64 (*.f64 c b) a) d) a)
(* -1 (* a (+ d (* -1 (/ (* b c) a)))))
(*.f64 (-.f64 (/.f64 (*.f64 c b) a) d) a)
(* b c)
(*.f64 c b)
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(+ (* -1 (* a d)) (* b c))
(fma.f64 (neg.f64 a) d (*.f64 c b))
(* -1 (* a d))
(*.f64 (neg.f64 a) d)
(* d (+ (* -1 a) (/ (* b c) d)))
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(* d (+ (* -1 a) (/ (* b c) d)))
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(* d (+ (* -1 a) (/ (* b c) d)))
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
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(*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c))
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d (/.f64 d (pow.f64 c #s(literal 4 binary64)))))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(fma.f64 (fma.f64 d (/.f64 d (pow.f64 c #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 6 binary64))) (*.f64 d (/.f64 d (pow.f64 c #s(literal 8 binary64))))) (*.f64 d d) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 c (/.f64 c (*.f64 d d)))) (*.f64 d d))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 c (/.f64 c (*.f64 d d)))) (*.f64 d d))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 c (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 c (/.f64 c (*.f64 d d)))) (*.f64 d d))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 c (/.f64 c (*.f64 d d)))) (*.f64 d d))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 c (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (*.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64)))))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(+ (* (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)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 6 binary64))) (*.f64 c (/.f64 c (pow.f64 d #s(literal 8 binary64))))) (*.f64 c c) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) (*.f64 c c))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 d (/.f64 d (*.f64 c c)))) (*.f64 c c))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (fma.f64 d (/.f64 d (*.f64 c c)) (/.f64 (neg.f64 (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))))) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) (*.f64 c c))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 d (/.f64 d (*.f64 c c)))) (*.f64 c c))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (fma.f64 d (/.f64 d (*.f64 c c)) (/.f64 (neg.f64 (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))))) (*.f64 c c))

rewrite225.0ms (2.8%)

Memory
10.6MiB live, 320.9MiB allocated
Rules
4 562×lower-fma.f32
4 554×lower-fma.f64
4 010×lower-/.f32
3 996×lower-/.f64
3 878×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037197
060199
1212193
21617187
08819187
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 724
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
(+.f64 (*.f64 c c) (*.f64 d d))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
(/.f64 b c)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
(neg.f64 d)
(/.f64 a (fma.f64 c c (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(-.f64 (*.f64 b c) (*.f64 a d))
(*.f64 b c)
(*.f64 a d)
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(fma.f64 (neg.f64 b) c (*.f64 a d))
(fma.f64 c c (*.f64 d d))
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
Outputs
(*.f64 (/.f64 (fma.f64 d a (*.f64 c b)) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 d a (*.f64 c b))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)))) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 (neg.f64 d) a (*.f64 c b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 d a (*.f64 c b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 (neg.f64 d) a (*.f64 c b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 d a (*.f64 c b))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b))))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 (neg.f64 d) a (*.f64 c b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d a (*.f64 c b)))))
(*.f64 (neg.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 (neg.f64 d) a (*.f64 c b)))) (/.f64 #s(literal 1 binary64) (fma.f64 d a (*.f64 c b))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 d a) d) a (*.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 d a) d) a (*.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b))))))
(*.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 (neg.f64 d) a (*.f64 c b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d a (*.f64 c b)))))
(*.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 (neg.f64 d) a (*.f64 c b))) (/.f64 #s(literal 1 binary64) (fma.f64 d a (*.f64 c b))))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 d a) d) a (*.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b))))))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 d a) d) a (*.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b))))))
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (/.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 d a (*.f64 c b))))
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(literal -1 binary64))
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b)))
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b)))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 (neg.f64 d) a (*.f64 c b))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b))) #s(literal -1 binary64))
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eval496.0ms (6.2%)

Memory
-1.4MiB live, 425.2MiB allocated
Compiler

Compiled 82 760 to 3 725 computations (95.5% saved)

prune425.0ms (5.4%)

Memory
-16.3MiB live, 437.9MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New2 533122 545
Fresh628
Picked235
Done000
Total2 541172 558
Accuracy
98.1%
Counts
2 558 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.5%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
40.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
36.9%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
40.0%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
32.2%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
22.3%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
40.0%
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
53.8%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
53.9%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
46.9%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
46.2%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
15.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 b) c) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 b) c) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b) c))))))
44.3%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
44.7%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))))
44.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
43.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
21.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
Compiler

Compiled 494 to 285 computations (42.3% saved)

simplify174.0ms (2.2%)

Memory
3.4MiB live, 77.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b c)
cost-diff0
(neg.f64 d)
cost-diff0
(fma.f64 (neg.f64 d) a (*.f64 b c))
cost-diff0
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
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)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff0
(/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
cost-diff0
(neg.f64 d)
cost-diff0
(*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
cost-diff0
(neg.f64 a)
cost-diff0
(/.f64 (neg.f64 a) d)
cost-diff0
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
cost-diff0
(*.f64 c c)
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
cost-diff1408
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
Rules
2 056×lower-fma.f32
2 050×lower-fma.f64
1 464×lower-*.f32
1 454×lower-*.f64
720×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044285
066275
1115271
2211269
3446269
4948269
51950269
63509269
74289269
84552269
94590269
104602269
114608269
124848269
134964269
144972269
154972269
164972269
04972269
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
#s(literal 1 binary64)
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
c
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
#s(literal -1 binary64)
(fma.f64 (neg.f64 b) c (*.f64 a d))
(neg.f64 b)
b
(*.f64 a d)
a
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
(/.f64 (neg.f64 a) d)
(neg.f64 a)
a
d
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(neg.f64 d)
d
(/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
a
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(-.f64 (*.f64 b c) (*.f64 a d))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(neg.f64 d)
d
a
(*.f64 b c)
b
c
#s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
#s(literal 1 binary64)
(*.f64 c c)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 c c (*.f64 d d)))
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))
#s(literal 1 binary64)
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
d
(*.f64 c c)
c
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
#s(literal -1 binary64)
(fma.f64 (neg.f64 b) c (*.f64 a d))
(neg.f64 b)
b
(*.f64 a d)
a
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
(/.f64 (neg.f64 a) d)
(neg.f64 a)
a
d
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 d) a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(/.f64 (*.f64 (neg.f64 d) a) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(neg.f64 d)
d
(/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
a
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(-.f64 (*.f64 b c) (*.f64 a d))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(*.f64 b c)
b
c
(*.f64 a d)
a
d
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(*.f64 #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) (fma.f64 (neg.f64 d) a (*.f64 b c)))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(neg.f64 d)
d
a
(*.f64 b c)
b
c
#s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
#s(literal 1 binary64)
(*.f64 c c)

localize117.0ms (1.5%)

Memory
40.1MiB live, 226.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.2539034976055602
(fma.f64 (neg.f64 d) a (*.f64 b c))
accuracy0.60331955913544
(/.f64 #s(literal 1 binary64) (*.f64 c c))
accuracy21.14965745697112
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
accuracy26.591873282170884
#s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
accuracy0
(*.f64 a d)
accuracy0.46093543583020585
(-.f64 (*.f64 b c) (*.f64 a d))
accuracy21.709078187541767
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy26.68072466184655
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy6.871632968382563
(/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
accuracy10.285648075753265
(*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
accuracy24.500777156664043
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
accuracy26.68072466184655
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy0
(/.f64 (neg.f64 a) d)
accuracy0
(neg.f64 a)
accuracy34.010709527526195
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
accuracy0.2539034976055602
(fma.f64 (neg.f64 b) c (*.f64 a d))
accuracy0.4279859433739581
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
accuracy0.6369853896261997
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
accuracy21.032379310837836
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
Samples
78.0ms256×0valid
Compiler

Compiled 244 to 33 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 20.0ms (49.2% of total)
ival-mult: 12.0ms (29.5% of total)
ival-add: 4.0ms (9.8% of total)
ival-neg: 3.0ms (7.4% of total)
ival-sub: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
-27.3MiB live, 59.0MiB allocated
Counts
22 → 720
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 a) d) (patch (/.f64 (neg.f64 a) d) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) (patch (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) #<representation binary64>) () ())
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())
#s(alt (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) (patch (*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 b) c (*.f64 a d)) (patch (fma.f64 (neg.f64 b) c (*.f64 a d)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) (patch #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 c c)) #<representation binary64>) () ())
Outputs
#s(alt (/ b c) (taylor 0 d) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) (taylor 0 d) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (+ (* -1 (/ b (pow c 3))) (/ (* a d) (pow c 4)))))) (/ b c)) (taylor 0 d) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d) (taylor inf d) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (/ b c) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) (patch (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4)))) (taylor 0 d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) (patch (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4)))))) (taylor 0 d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) (patch (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) (patch (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) (patch (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) (taylor inf d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) (patch (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) (patch (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) (patch (*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) (patch (*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) (patch (*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))) #<representation binary64>) () ())) ())
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#s(alt (* d (+ (* -1 a) (/ (* b c) d))) (taylor inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ a (* -1 (/ (* b c) d))))) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
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#s(alt (* b c) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 d) (/ (* b c) a))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 d) (/ (* b c) a))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 d) (/ (* b c) a))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ d (* -1 (/ (* b c) a))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a d)) (taylor 0 b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) (patch #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) (patch #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) (patch #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor inf c) (#s(alt #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) (patch #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2)) (taylor inf c) (#s(alt #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) (patch #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2)) (taylor inf c) (#s(alt #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) (patch #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2)) (taylor inf c) (#s(alt #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) (patch #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor -inf c) (#s(alt #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) (patch #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2)) (taylor -inf c) (#s(alt #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) (patch #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2)) (taylor -inf c) (#s(alt #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) (patch #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2)) (taylor -inf c) (#s(alt #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) (patch #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow c 2)) (taylor -inf c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 c c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 c c)) #<representation binary64>) () ())) ())
Calls

180 calls:

TimeVariablePointExpression
5.0ms
c
@inf
(* c c)
1.0ms
a
@0
(/ (neg a) d)
0.0ms
a
@inf
(/ (neg a) d)
0.0ms
a
@-inf
(/ (neg a) d)
0.0ms
d
@inf
(/ (neg a) d)

simplify206.0ms (2.6%)

Memory
-5.2MiB live, 177.5MiB allocated
Algorithm
egg-herbie
Rules
7 224×lower-fma.f64
7 224×lower-fma.f32
5 780×lower-*.f64
5 780×lower-*.f32
3 498×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06859864
122219454
274809392
080988956
Stop Event
iter limit
node limit
Counts
720 → 720
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 (+ (* -1 (/ b (pow c 3))) (/ (* a d) (pow c 4)))))) (/ 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 (/ (+ (* -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))) (/ 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)) (+ (* -1 (/ (* b (pow d 2)) (pow c 2))) (/ (* a (pow d 3)) (pow c 3))))) 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)))))))
(/ (* 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 (pow c 2))
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ 1 (pow d 2))
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(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) (+ (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))) (/ 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)) (+ (* -1 (/ (* b (pow d 2)) (pow c 2))) (/ (* a (pow d 3)) (pow c 3))))) 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))
(/ (* 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 (+ (* -1 (/ b (pow c 3))) (/ (* a d) (pow c 4)))))) (/ 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 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) 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 (/ a d))
(* -1 a)
(* -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) (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)))
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(/ 1 (* b c))
(/ (+ (/ 1 b) (/ (* a d) (* (pow b 2) c))) c)
(/ (- (+ (/ 1 b) (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2)))) (* -1 (/ (* a d) (* (pow b 2) c)))) c)
(/ (- (+ (/ 1 b) (/ (* (pow a 3) (pow d 3)) (* (pow b 4) (pow c 3)))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2)))))) c)
(/ 1 (* b c))
(* -1 (/ (- (* -1 (/ (* a d) (* (pow b 2) c))) (/ 1 b)) c))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow a 2) (pow d 2)) (* (pow b 3) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (pow d 3)) (* (pow b 4) c))) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)) c))
(/ 1 (* b c))
(+ (/ 1 (* b c)) (/ (* a d) (* (pow b 2) (pow c 2))))
(+ (* a (- (/ (* a (pow d 2)) (* (pow b 3) (pow c 3))) (* -1 (/ d (* (pow b 2) (pow c 2)))))) (/ 1 (* b c)))
(+ (* a (- (* a (- (/ (* a (pow d 3)) (* (pow b 4) (pow c 4))) (* -1 (/ (pow d 2) (* (pow b 3) (pow c 3)))))) (* -1 (/ d (* (pow b 2) (pow c 2)))))) (/ 1 (* b c)))
(/ -1 (* a d))
(/ (- (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)) a)
(/ (- (* -1 (/ (* (pow b 2) (pow c 2)) (* (pow a 2) (pow d 3)))) (+ (/ 1 d) (/ (* b c) (* a (pow d 2))))) a)
(/ (- (* -1 (/ (* (pow b 3) (pow c 3)) (* (pow a 3) (pow d 4)))) (+ (/ 1 d) (+ (/ (* b c) (* a (pow d 2))) (/ (* (pow b 2) (pow c 2)) (* (pow a 2) (pow d 3)))))) a)
(/ -1 (* a d))
(* -1 (/ (+ (/ 1 d) (/ (* b c) (* a (pow d 2)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 2)) (* a (pow d 3)))) (/ (* b c) (pow d 2))) a)) (/ 1 d)) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow c 3)) (* a (pow d 4))) (* -1 (/ (* (pow b 2) (pow c 2)) (pow d 3)))) a)) (/ (* b c) (pow d 2))) a)) (/ 1 d)) a))
(/ 1 (* b c))
(+ (/ 1 (* b c)) (/ (* a d) (* (pow b 2) (pow c 2))))
(+ (* d (- (/ (* (pow a 2) d) (* (pow b 3) (pow c 3))) (* -1 (/ a (* (pow b 2) (pow c 2)))))) (/ 1 (* b c)))
(+ (* d (- (* d (- (/ (* (pow a 3) d) (* (pow b 4) (pow c 4))) (* -1 (/ (pow a 2) (* (pow b 3) (pow c 3)))))) (* -1 (/ a (* (pow b 2) (pow c 2)))))) (/ 1 (* b c)))
(/ -1 (* a d))
(/ (- (* -1 (/ (* b c) (* (pow a 2) d))) (/ 1 a)) d)
(/ (- (* -1 (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2)))) (+ (/ 1 a) (/ (* b c) (* (pow a 2) d)))) d)
(/ (- (* -1 (/ (* (pow b 3) (pow c 3)) (* (pow a 4) (pow d 3)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2)))))) d)
(/ -1 (* a d))
(* -1 (/ (+ (/ 1 a) (/ (* b c) (* (pow a 2) d))) d))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 2)) (* (pow a 3) d))) (/ (* b c) (pow a 2))) d)) (/ 1 a)) d))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow c 3)) (* (pow a 4) d)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)) d))
(* a d)
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(* -1 (* b c))
(* b (+ (* -1 c) (/ (* a d) b)))
(* b (+ (* -1 c) (/ (* a d) b)))
(* b (+ (* -1 c) (/ (* a d) b)))
(* -1 (* b c))
(* -1 (* b (+ c (* -1 (/ (* a d) b)))))
(* -1 (* b (+ c (* -1 (/ (* a d) b)))))
(* -1 (* b (+ c (* -1 (/ (* a d) b)))))
(* a d)
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(* -1 (* b c))
(* c (+ (* -1 b) (/ (* a d) c)))
(* c (+ (* -1 b) (/ (* a d) c)))
(* c (+ (* -1 b) (/ (* a d) c)))
(* -1 (* b c))
(* -1 (* c (+ b (* -1 (/ (* a d) c)))))
(* -1 (* c (+ b (* -1 (/ (* a d) c)))))
(* -1 (* c (+ b (* -1 (/ (* a d) c)))))
(* -1 (* b c))
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(* a d)
(* a (+ d (* -1 (/ (* b c) a))))
(* a (+ d (* -1 (/ (* b c) a))))
(* a (+ d (* -1 (/ (* b c) a))))
(* a d)
(* -1 (* a (+ (* -1 d) (/ (* b c) a))))
(* -1 (* a (+ (* -1 d) (/ (* b c) a))))
(* -1 (* a (+ (* -1 d) (/ (* b c) a))))
(* -1 (* b c))
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(+ (* -1 (* b c)) (* a d))
(* a d)
(* d (+ a (* -1 (/ (* b c) d))))
(* d (+ a (* -1 (/ (* b c) d))))
(* d (+ a (* -1 (/ (* b c) d))))
(* a d)
(* -1 (* d (+ (* -1 a) (/ (* b c) d))))
(* -1 (* d (+ (* -1 a) (/ (* b c) d))))
(* -1 (* d (+ (* -1 a) (/ (* b c) d))))
(pow d 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(pow c 2)
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(+ (pow c 2) (pow d 2))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(pow d 2)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(/ 1 (pow c 2))
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ 1 (pow d 2))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/ 1 (pow d 2))
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/ 1 (pow c 2))
(/ 1 (pow c 2))
(/ 1 (pow c 2))
(/ 1 (pow c 2))
(/ 1 (pow c 2))
(/ 1 (pow c 2))
(/ 1 (pow c 2))
(/ 1 (pow c 2))
(/ 1 (pow c 2))
(/ 1 (pow c 2))
(/ 1 (pow c 2))
(/ 1 (pow c 2))
Outputs
(/ 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))
(fma.f64 (neg.f64 d) (fma.f64 (/.f64 d (*.f64 (*.f64 c c) c)) b (/.f64 a (*.f64 c c))) (/.f64 b c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (+ (* -1 (/ b (pow c 3))) (/ (* a d) (pow c 4)))))) (/ b c))
(fma.f64 (fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) a (/.f64 (neg.f64 b) (*.f64 (*.f64 c c) c))) d (/.f64 (neg.f64 a) (*.f64 c c))) d (/.f64 b c))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(/ (+ (* -1 a) (/ (* b c) d)) d)
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d)
(/.f64 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 c b) d)) d)
(/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d)
(/.f64 (fma.f64 (neg.f64 b) (*.f64 c (*.f64 c (/.f64 c (*.f64 (*.f64 d d) d)))) (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 c b) d))) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d))
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d))
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d))
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) d))
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 (neg.f64 a) c) c (/.f64 (*.f64 (*.f64 (*.f64 c c) c) b) d)) (neg.f64 d))) d)) (neg.f64 d))
(* -1 (/ a d))
(/.f64 (neg.f64 a) d)
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3)))))
(fma.f64 (/.f64 c (*.f64 d d)) b (/.f64 (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d))
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (*.f64 (*.f64 d d) d))) c (/.f64 b (*.f64 d d))) c (/.f64 (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 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d d) c) b (*.f64 d a))) c) b) c)
(/ (+ b (+ (* -1 (/ (* a d) c)) (+ (* -1 (/ (* b (pow d 2)) (pow c 2))) (/ (* a (pow d 3)) (pow c 3))))) c)
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d d) c) b (*.f64 d a))) c) (fma.f64 (*.f64 (*.f64 d d) d) (/.f64 a (*.f64 (*.f64 c c) c)) b)) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (-.f64 (/.f64 (*.f64 d a) c) b) (neg.f64 c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d d) c) b (*.f64 d a))) (neg.f64 c)) b) (neg.f64 c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c))
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 d a (/.f64 (fma.f64 (*.f64 d d) b (*.f64 (neg.f64 a) (/.f64 (*.f64 (*.f64 d d) d) c))) c))) (neg.f64 c)) b) (neg.f64 c))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 c (fma.f64 d d (*.f64 c c)))) b)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b)) a (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c)))) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b)) a (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c)))) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b)) a (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c)))) (neg.f64 b))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a))
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 d (fma.f64 d d (*.f64 c c)))) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 d (fma.f64 d d (*.f64 c c)))) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 d (fma.f64 d d (*.f64 c c)))) (neg.f64 a))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 d (/.f64 d (pow.f64 c #s(literal 4 binary64)))))
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(fma.f64 (fma.f64 d (/.f64 d (pow.f64 c #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 6 binary64))) (*.f64 d (/.f64 d (pow.f64 c #s(literal 8 binary64))))) (*.f64 d d) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 c (/.f64 c (*.f64 d d)))) (*.f64 d d))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 c (/.f64 c (*.f64 d d)))) (*.f64 d d))
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 c (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 d d))
(/ 1 (pow d 2))
(/.f64 #s(literal 1 binary64) (*.f64 d d))
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 c (/.f64 c (*.f64 d d)))) (*.f64 d d))
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 c (/.f64 c (*.f64 d d)))) (*.f64 d d))
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(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(+ (* (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)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 6 binary64))) (*.f64 c (/.f64 c (pow.f64 d #s(literal 8 binary64))))) (*.f64 c c) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d)))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) (*.f64 c c))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 d (/.f64 d (*.f64 c c)))) (*.f64 c c))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (fma.f64 d (/.f64 d (*.f64 c c)) (/.f64 (neg.f64 (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))))) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) (*.f64 c c))
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 d (/.f64 d (*.f64 c c)))) (*.f64 c c))
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (fma.f64 d (/.f64 d (*.f64 c c)) (/.f64 (neg.f64 (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))))) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
(/ 1 (pow c 2))
(/.f64 #s(literal 1 binary64) (*.f64 c c))

rewrite166.0ms (2.1%)

Memory
-12.3MiB live, 187.5MiB allocated
Rules
4 018×lower-/.f32
4 004×lower-/.f64
3 508×lower-*.f32
3 498×lower-*.f64
2 944×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044235
066226
1234216
21783214
08867214
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 173
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(*.f64 c c)
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
(/.f64 (neg.f64 a) d)
(neg.f64 a)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(neg.f64 d)
(/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(-.f64 (*.f64 b c) (*.f64 a d))
(*.f64 b c)
(*.f64 a d)
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
(fma.f64 (neg.f64 d) a (*.f64 b c))
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))
(fma.f64 (neg.f64 b) c (*.f64 a d))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
#s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) (*.f64 c c))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 (neg.f64 b) c (*.f64 a d))))) (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 a d (*.f64 b c))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))))) (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 (neg.f64 b) c (*.f64 a d))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 a d (*.f64 b c))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 (neg.f64 b) c (*.f64 a d))))) (/.f64 (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (fma.f64 a d (*.f64 b c))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 (neg.f64 b) c (*.f64 a d))))) (/.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d)) (fma.f64 a d (*.f64 b c))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))))) (/.f64 (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))))) (/.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 (neg.f64 b) c (*.f64 a d))))) (/.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1/2 binary64)) (fma.f64 a d (*.f64 b c))))
(*.f64 (/.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))))) (/.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))))
(*.f64 (/.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (fma.f64 a d (*.f64 b c))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 d d) d))) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (pow.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (pow.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 (pow.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 (pow.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d)))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 (neg.f64 b) c (*.f64 a d))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (fma.f64 a d (*.f64 b c))))
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(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 c c)))
(exp.f64 (neg.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)) #s(literal -1 binary64)))

eval285.0ms (3.6%)

Memory
32.9MiB live, 323.7MiB allocated
Compiler

Compiled 59 474 to 3 491 computations (94.1% saved)

prune449.0ms (5.7%)

Memory
4.9MiB live, 568.9MiB allocated
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New2 10992 118
Fresh459
Picked235
Done033
Total2 115202 135
Accuracy
98.1%
Counts
2 135 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.0%
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
43.7%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(approx (/ -1 (+ (* (neg b) c) (* a d))) (/.f64 #s(literal 1 binary64) (*.f64 c b))))
36.9%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
22.1%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
22.3%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
32.7%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
40.2%
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 (/.f64 #s(literal 1 binary64) c) c)))
40.0%
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
53.8%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
53.9%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
46.9%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
46.6%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a)))
46.2%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
46.7%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
15.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 b) c) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 b) c) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b) c))))))
44.3%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
22.0%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))))
44.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
43.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
21.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
Compiler

Compiled 505 to 290 computations (42.6% saved)

simplify207.0ms (2.6%)

Memory
-5.8MiB live, 70.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
cost-diff0
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))))
cost-diff576
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))
cost-diff0
(fma.f64 d d (*.f64 c c))
cost-diff0
(/.f64 c (fma.f64 d d (*.f64 c c)))
cost-diff0
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
cost-diff0
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
cost-diff0
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
cost-diff0
(*.f64 c b)
cost-diff0
#s(approx (- (* b c) (* a d)) (*.f64 c b))
cost-diff0
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
cost-diff0
(/.f64 #s(literal 1 binary64) c)
cost-diff0
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
cost-diff0
(/.f64 (*.f64 d a) c)
cost-diff0
(-.f64 b (/.f64 (*.f64 d a) c))
cost-diff0
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
cost-diff0
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
Rules
2 632×lower-fma.f32
2 630×lower-fma.f64
1 512×lower-*.f32
1 498×lower-*.f64
1 328×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042291
057277
198267
2173265
3363265
4706265
51602265
63267265
74685265
85426265
95723265
105745265
115748265
125750265
135978265
146074265
156074265
166074265
176170265
187436265
197945265
08013265
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(-.f64 b (/.f64 (*.f64 d a) c))
b
(/.f64 (*.f64 d a) c)
(*.f64 d a)
d
a
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
c
b
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 c b))
(*.f64 c b)
c
b
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
d
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(/.f64 c (fma.f64 d d (*.f64 c c)))
c
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
b
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))
#s(literal -1 binary64)
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
(*.f64 a d)
a
d
Outputs
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(-.f64 b (/.f64 (*.f64 d a) c))
b
(/.f64 (*.f64 d a) c)
(*.f64 d a)
d
a
c
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 b c))
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
(/.f64 b c)
(/.f64 #s(literal 1 binary64) c)
#s(literal 1 binary64)
c
b
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 c b))
(*.f64 c b)
c
b
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
(*.f64 d d)
d
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))
(/.f64 c (fma.f64 d d (*.f64 c c)))
c
(fma.f64 d d (*.f64 c c))
d
(*.f64 c c)
b
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))
(*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d)
#s(literal -1 binary64)
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 d a))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
c
(*.f64 a d)
(*.f64 d a)
a
d

localize113.0ms (1.4%)

Memory
-22.7MiB live, 147.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.4301266748076883
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))
accuracy15.57488451544603
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))
accuracy24.500777156664043
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))))
accuracy26.680724661846554
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
accuracy0
(*.f64 c c)
accuracy1.9233721781044761
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
accuracy17.10047859453419
(/.f64 c (fma.f64 d d (*.f64 c c)))
accuracy25.535336053836602
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
accuracy0
(*.f64 c b)
accuracy21.709078187541767
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
accuracy28.191411786226684
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
accuracy32.87678023421842
#s(approx (- (* b c) (* a d)) (*.f64 c b))
accuracy0
(/.f64 #s(literal 1 binary64) c)
accuracy0.1796875
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
accuracy35.62605754975913
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
accuracy0.0078125
(-.f64 b (/.f64 (*.f64 d a) c))
accuracy0.5279606725451393
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
accuracy3.8924535551585935
(/.f64 (*.f64 d a) c)
accuracy28.642775783736457
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
Samples
80.0ms256×0valid
Compiler

Compiled 223 to 33 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 32.0ms (50.9% of total)
ival-mult: 24.0ms (38.2% of total)
ival-add: 3.0ms (4.8% of total)
ival-sub: 2.0ms (3.2% of total)
ival-neg: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series59.0ms (0.7%)

Memory
22.1MiB live, 100.2MiB allocated
Counts
20 → 696
Calls
Call 1
Inputs
#s(alt #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (patch #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) #<representation binary64>) () ())
#s(alt (-.f64 b (/.f64 (*.f64 d a) c)) (patch (-.f64 b (/.f64 (*.f64 d a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 d a) c) (patch (/.f64 (*.f64 d a) c) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) b) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) b) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())
#s(alt #s(approx (- (* b c) (* a d)) (*.f64 c b)) (patch #s(approx (- (* b c) (* a d)) (*.f64 c b)) #<representation binary64>) () ())
#s(alt (*.f64 c b) (patch (*.f64 c b) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (patch #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (patch (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) #<representation binary64>) () ())
#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (patch #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (patch #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (patch #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (patch #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor inf b) (#s(alt #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (patch #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (patch #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (patch #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))) #<representation binary64>) () ())) ())
#s(alt (/ d a) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ d a) (/ (pow c 2) (* a d))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ d a) (/ (pow c 2) (* a d))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (+ (/ d a) (/ (pow c 2) (* a d))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (* a d)) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (* a d)) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (* a d)) (taylor 0 d) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d) (taylor 0 d) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d) (taylor 0 d) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d) (taylor 0 d) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ d a) (taylor inf d) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2))))) (taylor inf d) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2))))) (taylor inf d) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2))))) (taylor inf d) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ d a) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a)))) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a)))) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a)))) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow c 2) (pow d 2)) (* a d)) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow c 2) (pow d 2)) (* a d)) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow c 2) (pow d 2)) (* a d)) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow c 2) (pow d 2)) (* a d)) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow c 2) (pow d 2)) (* a d)) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow c 2) (pow d 2)) (* a d)) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow c 2) (pow d 2)) (* a d)) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow c 2) (pow d 2)) (* a d)) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow c 2) (pow d 2)) (* a d)) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow c 2) (pow d 2)) (* a d)) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow c 2) (pow d 2)) (* a d)) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (pow c 2) (pow d 2)) (* a d)) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) (patch (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
#s(alt (pow c 2) (taylor -inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ())
Calls

174 calls:

TimeVariablePointExpression
6.0ms
d
@-inf
(/ (- b (/ (* d a) c)) c)
4.0ms
d
@inf
(* (/ c (+ (* d d) (* c c))) b)
1.0ms
d
@0
(/ (+ (* c c) (* d d)) (* a d))
1.0ms
b
@0
(* (/ c (+ (* d d) (* c c))) b)
0.0ms
c
@-inf
(/ (- b (/ (* d a) c)) c)

simplify181.0ms (2.3%)

Memory
8.5MiB live, 205.9MiB allocated
Algorithm
egg-herbie
Rules
7 892×lower-fma.f64
7 892×lower-fma.f32
5 504×lower-*.f64
5 504×lower-*.f32
1 912×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05468893
116898566
249908468
081808047
Stop Event
iter limit
node limit
Counts
696 → 690
Calls
Call 1
Inputs
(* -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)))))))
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(/ 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))
(/ (* 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 (+ (* -1 (/ b (pow c 3))) (/ (* a d) (pow c 4)))))) (/ 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 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) 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)
(+ (* -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))
(/ (* 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)))
(/ 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))
(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))))
(* -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) (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) (+ (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) (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))
(/ d a)
(+ (/ d a) (/ (pow c 2) (* a d)))
(+ (/ d a) (/ (pow c 2) (* a d)))
(+ (/ d a) (/ (pow c 2) (* a d)))
(/ (pow c 2) (* a d))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(/ (pow c 2) (* a d))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(/ (pow c 2) (* a d))
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d)
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d)
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d)
(/ d a)
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2)))))
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2)))))
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2)))))
(/ d a)
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a))))
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a))))
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a))))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/ (+ (pow c 2) (pow d 2)) (* 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))))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
Outputs
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.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))))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (fma.f64 c c (*.f64 d d)))) (neg.f64 a) (/.f64 c (fma.f64 c c (*.f64 d d)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (fma.f64 c c (*.f64 d d)))) (neg.f64 a) (/.f64 c (fma.f64 c c (*.f64 d d)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (fma.f64 c c (*.f64 d d)))) (neg.f64 a) (/.f64 c (fma.f64 c c (*.f64 d d)))) b)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (fma.f64 c c (*.f64 d d)))) (neg.f64 a) (/.f64 c (fma.f64 c c (*.f64 d d)))) b)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (fma.f64 c c (*.f64 d d)))) (neg.f64 a) (/.f64 c (fma.f64 c c (*.f64 d d)))) b)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (fma.f64 c c (*.f64 d d)))) (neg.f64 a) (/.f64 c (fma.f64 c c (*.f64 d d)))) b)
(* -1 (/ a d))
(/.f64 (neg.f64 a) 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)))))
(fma.f64 (/.f64 c (*.f64 d d)) b (/.f64 (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d))
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 a (*.f64 (*.f64 d d) d)) (/.f64 (*.f64 b c) (*.f64 (*.f64 d d) (*.f64 d d)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 b c)) (*.f64 c c))
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
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(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.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))))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (fma.f64 c c (*.f64 d d)))) (neg.f64 a) (/.f64 c (fma.f64 c c (*.f64 d d)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (fma.f64 c c (*.f64 d d)))) (neg.f64 a) (/.f64 c (fma.f64 c c (*.f64 d d)))) b)
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2)))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (fma.f64 c c (*.f64 d d)))) (neg.f64 a) (/.f64 c (fma.f64 c c (*.f64 d d)))) b)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (fma.f64 c c (*.f64 d d)))) (neg.f64 a) (/.f64 c (fma.f64 c c (*.f64 d d)))) b)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (fma.f64 c c (*.f64 d d)))) (neg.f64 a) (/.f64 c (fma.f64 c c (*.f64 d d)))) b)
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2)))))))
(*.f64 (fma.f64 (/.f64 d (*.f64 b (fma.f64 c c (*.f64 d d)))) (neg.f64 a) (/.f64 c (fma.f64 c c (*.f64 d d)))) b)
(* -1 (/ a d))
(/.f64 (neg.f64 a) 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)))))
(fma.f64 (/.f64 c (*.f64 d d)) b (/.f64 (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d))
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 a (*.f64 (*.f64 d d) d)) (/.f64 (*.f64 b c) (*.f64 (*.f64 d d) (*.f64 d d)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d))
(/ b c)
(/.f64 b c)
(/ (+ b (* -1 (/ (* a d) c))) c)
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 b c)) (*.f64 c c))
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c)
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 b (*.f64 d d)) c)) c) b)) c)
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c)
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 d a (/.f64 (*.f64 b (*.f64 d d)) c))) c) (fma.f64 (*.f64 (*.f64 d d) (/.f64 d (*.f64 (*.f64 c c) c))) a b)) c)
(/ b c)
(/.f64 b c)
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c))
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 b c)) (*.f64 c c))
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 b (*.f64 d d)) c)) c) b)) c)
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 d) d) d) (/.f64 a c) (*.f64 b (*.f64 d d))) c)) c) b)) c)
(/ (* b c) (+ (pow c 2) (pow d 2)))
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2))))
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.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 (fma.f64 (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2))))
(*.f64 (neg.f64 d) (/.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 (fma.f64 (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2))))))
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)
(/ b c)
(/.f64 b c)
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c))
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 b c)) (*.f64 c c))
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c))
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 b (*.f64 d d)) c)) c) b)) c)
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c))
(fma.f64 (fma.f64 (fma.f64 d (/.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (neg.f64 b) (*.f64 (*.f64 c c) c))) d (/.f64 (neg.f64 a) (*.f64 c c))) d (/.f64 b c))
(* -1 (/ a d))
(/.f64 (neg.f64 a) 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 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 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)
(/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) a (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 (*.f64 c c) c) b) (*.f64 (neg.f64 d) d))) d) a)) d)
(* -1 (/ a d))
(/.f64 (neg.f64 a) 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 a (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 c a) 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 (fma.f64 b c (/.f64 (fma.f64 (*.f64 c a) c (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) b) d))) d)) d)) (neg.f64 d))
(/ d a)
(/.f64 d a)
(+ (/ d a) (/ (pow c 2) (* a d)))
(fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a))
(+ (/ d a) (/ (pow c 2) (* a d)))
(fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a))
(+ (/ d a) (/ (pow c 2) (* a d)))
(fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a))
(/ (pow c 2) (* a d))
(*.f64 c (/.f64 c (*.f64 d a)))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(*.f64 (+.f64 (/.f64 d (*.f64 (*.f64 c a) c)) (/.f64 #s(literal 1 binary64) (*.f64 d a))) (*.f64 c c))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(*.f64 (+.f64 (/.f64 d (*.f64 (*.f64 c a) c)) (/.f64 #s(literal 1 binary64) (*.f64 d a))) (*.f64 c c))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(*.f64 (+.f64 (/.f64 d (*.f64 (*.f64 c a) c)) (/.f64 #s(literal 1 binary64) (*.f64 d a))) (*.f64 c c))
(/ (pow c 2) (* a d))
(*.f64 c (/.f64 c (*.f64 d a)))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(*.f64 (+.f64 (/.f64 d (*.f64 (*.f64 c a) c)) (/.f64 #s(literal 1 binary64) (*.f64 d a))) (*.f64 c c))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(*.f64 (+.f64 (/.f64 d (*.f64 (*.f64 c a) c)) (/.f64 #s(literal 1 binary64) (*.f64 d a))) (*.f64 c c))
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2)))))
(*.f64 (+.f64 (/.f64 d (*.f64 (*.f64 c a) c)) (/.f64 #s(literal 1 binary64) (*.f64 d a))) (*.f64 c c))
(/ (pow c 2) (* a d))
(*.f64 c (/.f64 c (*.f64 d a)))
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d)
(/.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 c c) a)) d)
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d)
(/.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 c c) a)) d)
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d)
(/.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 c c) a)) d)
(/ d a)
(/.f64 d a)
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2)))))
(fma.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 d d) a))) d (/.f64 d a))
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2)))))
(fma.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 d d) a))) d (/.f64 d a))
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2)))))
(fma.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 d d) a))) d (/.f64 d a))
(/ d a)
(/.f64 d a)
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a))))
(fma.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 d d) a))) d (/.f64 d a))
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a))))
(fma.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 d d) a))) d (/.f64 d a))
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a))))
(fma.f64 (*.f64 c (/.f64 c (*.f64 (*.f64 d d) a))) d (/.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(/ (+ (pow c 2) (pow d 2)) (* a d))
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))
(pow d 2)
(*.f64 d d)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(pow c 2)
(*.f64 c c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c)
(pow c 2)
(*.f64 c c)
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(+ (pow c 2) (pow d 2))
(fma.f64 c c (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(pow d 2)
(*.f64 d d)
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d))
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)
(pow c 2)
(*.f64 c c)

rewrite262.0ms (3.3%)

Memory
-4.4MiB live, 116.0MiB allocated
Rules
5 180×lower-/.f32
5 166×lower-/.f64
4 272×lower-*.f32
4 258×lower-*.f64
4 066×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042262
057248
1229238
21662238
08289238
Stop Event
iter limit
node limit
iter limit
Counts
20 → 475
Calls
Call 1
Inputs
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)
(-.f64 b (/.f64 (*.f64 d a) c))
(/.f64 (*.f64 d a) c)
(*.f64 (/.f64 #s(literal 1 binary64) c) b)
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
(/.f64 #s(literal 1 binary64) c)
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (- (* b c) (* a d)) (*.f64 c b))
(*.f64 c b)
#s(approx (+ (* c c) (* d d)) (*.f64 d d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)
(/.f64 c (fma.f64 d d (*.f64 c c)))
(fma.f64 d d (*.f64 c c))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))))
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 c c)
Outputs
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
(*.f64 (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))
(*.f64 (/.f64 (fma.f64 (/.f64 a c) d b) c) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) (fma.f64 (/.f64 a c) d b)))
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d))))
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (+.f64 c d) (-.f64 c d)))
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (+.f64 d c) (-.f64 d c)))
(/.f64 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))
(/.f64 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d)))
(/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64))
(/.f64 (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)))))
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(fma.f64 (/.f64 (*.f64 d d) (+.f64 d c)) (/.f64 (*.f64 d d) (-.f64 d c)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (/.f64 d (+.f64 d c)) (/.f64 (*.f64 (*.f64 d d) d) (-.f64 d c)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c)))))
(fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) 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 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 c d) (-.f64 c d)))))
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (*.f64 (*.f64 c c) c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) 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 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 c d) (-.f64 c d)))))
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(fma.f64 (neg.f64 c) (neg.f64 c) (*.f64 d d))
(fma.f64 (*.f64 c c) #s(literal 1 binary64) (*.f64 d d))
(fma.f64 d d (*.f64 c c))
(fma.f64 c c (*.f64 d d))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 c d) (-.f64 c d))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))))
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(+.f64 (*.f64 c c) (*.f64 d d))
(+.f64 (*.f64 d d) (*.f64 c c))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) d)
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(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 d a))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (*.f64 (neg.f64 d) a))
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(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (*.f64 (*.f64 d a) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (*.f64 d a))
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(/.f64 (*.f64 (neg.f64 d) a) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (*.f64 d a) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal -1 binary64)))
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 d a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 d a)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 (neg.f64 d) a)))
(neg.f64 (/.f64 (*.f64 d a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (/.f64 (*.f64 d a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 d a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 (neg.f64 d) a))) #s(literal -1 binary64)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 d) a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (neg.f64 a)))
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (neg.f64 d)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 d) a)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d a)))
(*.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) d) (/.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 d a)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) d))
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) a))
(*.f64 (neg.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) a)) (/.f64 #s(literal 1 binary64) (neg.f64 d)))
(*.f64 (neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (*.f64 d a)))
(*.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) a) (/.f64 #s(literal 1 binary64) d))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d a)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 d a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(*.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 d) a)))
(*.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 d a)) #s(literal 1 binary64))
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 d a)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 (neg.f64 d) a)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 d a)))
(pow.f64 (/.f64 (*.f64 d a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 d a)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) d)) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64))) (*.f64 (neg.f64 d) a))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) a))) (neg.f64 (neg.f64 d)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 d) a))))
(/.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) d) a)
(/.f64 (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64)) (*.f64 d a))
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(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) (neg.f64 (*.f64 (neg.f64 d) a)))
(/.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) a) d)
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(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (*.f64 (neg.f64 d) a))
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(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 (*.f64 d a) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 d a))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 d) a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) d)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d a) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (neg.f64 d) a) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))
(neg.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 (neg.f64 d) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 d) a)) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 (neg.f64 d) a)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 (neg.f64 d) a)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d a) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) #s(literal -1 binary64)))
#s(approx (+ (* c c) (* d d)) (*.f64 c c))
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)))
(*.f64 (neg.f64 c) (neg.f64 c))
(*.f64 (*.f64 c c) #s(literal 1 binary64))
(*.f64 c c)
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64))
(pow.f64 (neg.f64 c) #s(literal 2 binary64))
(pow.f64 (*.f64 c c) #s(literal 1 binary64))
(pow.f64 c #s(literal 2 binary64))
(/.f64 c (/.f64 #s(literal 1 binary64) c))
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64)))

eval192.0ms (2.4%)

Memory
-14.0MiB live, 149.7MiB allocated
Compiler

Compiled 21 456 to 1 671 computations (92.2% saved)

prune205.0ms (2.6%)

Memory
8.2MiB live, 169.9MiB allocated
Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New1 18071 187
Fresh459
Picked145
Done156
Total1 186211 207
Accuracy
100.0%
Counts
1 207 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.0%
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
36.9%
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
22.1%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
22.3%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
32.7%
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
22.2%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(approx (- (* b c) (* a d)) (*.f64 c b)))
54.7%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
55.0%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
53.9%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
46.9%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
22.7%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 d) (/.f64 a c))) c))
46.6%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a)))
46.2%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
53.8%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 b (/.f64 (*.f64 d a) c))))
46.7%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
50.3%
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (*.f64 (fma.f64 (/.f64 d (*.f64 (*.f64 b c) c)) (neg.f64 a) (/.f64 #s(literal 1 binary64) c)) b)))
44.3%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
60.3%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* c c) (* d d)) (* a d)) (fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a)))))
44.2%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
43.4%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
21.6%
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
Compiler

Compiled 785 to 277 computations (64.7% saved)

regimes63.0ms (0.8%)

Memory
12.4MiB live, 88.6MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(approx (- (* b c) (* a d)) (*.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 d) (/.f64 a c))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))))
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 b (/.f64 (*.f64 d a) c))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))))
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 (/.f64 #s(literal 1 binary64) c) c)))
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* c c) (* d d)) (* a d)) (fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a)))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (*.f64 (fma.f64 (/.f64 d (*.f64 (*.f64 b c) c)) (neg.f64 a) (/.f64 #s(literal 1 binary64) c)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(approx (/ -1 (+ (* (neg b) c) (* a d))) (/.f64 #s(literal 1 binary64) (*.f64 c b))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 b) c) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 b) c) (/.f64 (neg.f64 b) c) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b) c))))))
Outputs
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* c c) (* d d)) (* a d)) (fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a)))))
Calls

5 calls:

14.0ms
c
12.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
12.0ms
b
11.0ms
a
11.0ms
d
Results
AccuracySegmentsBranch
74.6%3a
74.5%4b
86.1%5c
88.3%3d
82.0%4(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes12.0ms (0.2%)

Memory
-17.3MiB live, 22.2MiB allocated
Counts
34 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(approx (- (* b c) (* a d)) (*.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 d) (/.f64 a c))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))))
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 b (/.f64 (*.f64 d a) c))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))))
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 (/.f64 #s(literal 1 binary64) c) c)))
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
Outputs
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
Calls

1 calls:

10.0ms
d
Results
AccuracySegmentsBranch
89.4%4d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0.2%)

Memory
-21.2MiB live, 19.2MiB allocated
Counts
33 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(approx (- (* b c) (* a d)) (*.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 d) (/.f64 a c))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))))
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 b (/.f64 (*.f64 d a) c))))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))))
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 (/.f64 #s(literal 1 binary64) c) c)))
Outputs
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
89.4%4d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(approx (- (* b c) (* a d)) (*.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 d) (/.f64 a c))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 a d))))
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (/ 1 (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (*.f64 c c))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 b (/.f64 (*.f64 d a) c))))
Outputs
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))
Calls

1 calls:

8.0ms
d
Results
AccuracySegmentsBranch
87.7%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(approx (- (* b c) (* a d)) (*.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 d) (/.f64 a c))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))
Calls

1 calls:

7.0ms
d
Results
AccuracySegmentsBranch
86.9%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Memory
-26.1MiB live, 12.1MiB allocated
Counts
22 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(approx (- (* b c) (* a d)) (*.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 d) (/.f64 a c))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
Calls

1 calls:

9.0ms
d
Results
AccuracySegmentsBranch
85.3%4d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes20.0ms (0.2%)

Memory
30.1MiB live, 30.1MiB allocated
Counts
21 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(approx (- (* b c) (* a d)) (*.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 d) (/.f64 a c))) c))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
Calls

3 calls:

6.0ms
c
6.0ms
d
6.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
60.1%4(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
73.1%5c
77.4%4d
Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes7.0ms (0.1%)

Memory
-28.2MiB live, 10.5MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c)))))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(approx (- (* b c) (* a d)) (*.f64 c b)))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b))
#s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))
Calls

1 calls:

6.0ms
d
Results
AccuracySegmentsBranch
75.6%3d
Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
Outputs
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
Calls

5 calls:

1.0ms
c
1.0ms
d
1.0ms
b
1.0ms
a
1.0ms
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
Results
AccuracySegmentsBranch
44.3%1(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d)))
44.3%1c
44.3%1b
44.3%1a
44.3%1d
Compiler

Compiled 39 to 27 computations (30.8% saved)

bsearch18.0ms (0.2%)

Memory
-10.8MiB live, 27.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.2220229484737679e-54
4.775574817130868e-42
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Samples
11.0ms160×0valid
Compiler

Compiled 362 to 218 computations (39.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (66% of total)
ival-sub: 1.0ms (16.5% of total)
ival-div: 1.0ms (16.5% of total)
ival-add: 1.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory
31.8MiB live, 31.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
4.831063212455012e+90
2.3382352272963136e+92
12.0ms
9.274398029768854e-58
1.2220229484737679e-54
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Samples
15.0ms240×0valid
Compiler

Compiled 562 to 348 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (66.3% of total)
ival-sub: 1.0ms (11.1% of total)
ival-div: 1.0ms (11.1% of total)
ival-add: 1.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch65.0ms (0.8%)

Memory
-15.1MiB live, 26.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
4.831063212455012e+90
2.3382352272963136e+92
63.0ms
1.0779142291824525e-61
9.274398029768854e-58
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Samples
8.0ms128×0valid
Compiler

Compiled 547 to 333 computations (39.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (59.7% of total)
ival-sub: 1.0ms (19.9% of total)
ival-div: 1.0ms (19.9% of total)
ival-add: 1.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.2%)

Memory
-4.8MiB live, 32.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.2220229484737679e-54
4.775574817130868e-42
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Samples
12.0ms144×0valid
Compiler

Compiled 322 to 198 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (36.3% of total)
ival-mult: 3.0ms (36.3% of total)
ival-sub: 1.0ms (12.1% of total)
ival-add: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2220229484737679e-54
4.775574817130868e-42
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Compiler

Compiled 322 to 198 computations (38.5% saved)

bsearch27.0ms (0.3%)

Memory
5.2MiB live, 43.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
6.743283605216974e+129
8.605450625510331e+137
8.0ms
1.2220229484737679e-54
4.775574817130868e-42
0.0ms
-0.00011078722508370011
-0.00011069599721722217
Samples
17.0ms224×0valid
Compiler

Compiled 585 to 361 computations (38.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (71.3% of total)
ival-sub: 1.0ms (8.9% of total)
ival-div: 1.0ms (8.9% of total)
ival-add: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory
8.5MiB live, 45.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
6.743283605216974e+129
8.605450625510331e+137
9.0ms
1.2220229484737679e-54
4.775574817130868e-42
10.0ms
-4238129990705924000.0
-1223446805295765800.0
Samples
11.0ms176×0valid
Compiler

Compiled 620 to 396 computations (36.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (59.5% of total)
ival-sub: 1.0ms (14.9% of total)
ival-div: 1.0ms (14.9% of total)
ival-add: 1.0ms (14.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
-45.9MiB live, 14.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.2220229484737679e-54
4.775574817130868e-42
0.0ms
-4238129990705924000.0
-1223446805295765800.0
Samples
4.0ms64×0valid
Compiler

Compiled 307 to 213 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (82.8% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative_binary64
26×+-commutative_binary64
24×sub-neg_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101792
1124792
2151792
3170792
4180792
5184792
6185792
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 2738119583382487/105312291668557186697918027683670432318895095400549111254310977536 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* c c) (* d d)) (* a d)) (fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a)))))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 1015937062247571/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 43000000000000000707302877535463046915772762886054311874346426285047382559680447691345625088 binary64)) (*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 3618502788666131/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 43000000000000000707302877535463046915772762886054311874346426285047382559680447691345625088 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5463589350480567/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 5463589350480567/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 8214358750147461/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 8499999999999999917638298226074669119560922733635037005695853127108057762347388046433344100477915759663221331447444301392068094206148608 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -1950000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 3032994000054447/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 8499999999999999917638298226074669119560922733635037005695853127108057762347388046433344100477915759663221331447444301392068094206148608 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -1950000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 5463589350480567/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))
Outputs
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 2738119583382487/105312291668557186697918027683670432318895095400549111254310977536 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* c c) (* d d)) (* a d)) (fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a)))))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 2738119583382487/105312291668557186697918027683670432318895095400549111254310977536 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* c c) (* d d)) (* a d)) (fma.f64 c (/.f64 c (*.f64 a d)) (/.f64 d a)))))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 1015937062247571/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 43000000000000000707302877535463046915772762886054311874346426285047382559680447691345625088 binary64)) (*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 1015937062247571/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 43000000000000000707302877535463046915772762886054311874346426285047382559680447691345625088 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 (neg.f64 d) a (*.f64 c b))) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 3618502788666131/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 43000000000000000707302877535463046915772762886054311874346426285047382559680447691345625088 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 3618502788666131/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 43000000000000000707302877535463046915772762886054311874346426285047382559680447691345625088 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (+.f64 (*.f64 d d) (*.f64 c c))) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5463589350480567/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (/ 1 (/ -1 (+ (* (neg b) c) (* a d)))) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 5463589350480567/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (if (<=.f64 d #s(literal 5463589350480567/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 8214358750147461/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 8499999999999999917638298226074669119560922733635037005695853127108057762347388046433344100477915759663221331447444301392068094206148608 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 8214358750147461/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 8499999999999999917638298226074669119560922733635037005695853127108057762347388046433344100477915759663221331447444301392068094206148608 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (neg.f64 d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -1950000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 3032994000054447/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 8499999999999999917638298226074669119560922733635037005695853127108057762347388046433344100477915759663221331447444301392068094206148608 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -1950000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 3032994000054447/842498333348457493583344221469363458551160763204392890034487820288 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 8499999999999999917638298226074669119560922733635037005695853127108057762347388046433344100477915759663221331447444301392068094206148608 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (neg.f64 d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))
(if (<=.f64 d #s(literal -1950000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 5463589350480567/1606938044258990275541962092341162602522202993782792835301376 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))

soundness921.0ms (11.6%)

Memory
18.1MiB live, 765.7MiB allocated
Rules
7 930×lower-fma.f64
7 930×lower-fma.f32
7 892×lower-fma.f64
7 892×lower-fma.f32
7 224×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05468893
116898566
249908468
081808047
01135
01835
16535
250535
3637635
0817833
06859870
122219434
274749392
080928946
044235
066226
1234216
21783214
08867214
01911511
16231461
218631441
354841432
084871356
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 747 to 329 computations (56% saved)

preprocess76.0ms (1%)

Memory
-12.4MiB live, 104.9MiB allocated
Compiler

Compiled 810 to 220 computations (72.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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