Linear.Projection:infinitePerspective from linear-1.19.1.3, A

Time bar (total: 8.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze301.0ms (3.4%)

Memory
-2.5MiB live, 444.8MiB 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
25%25%74.9%0.2%0%0%0%5
25%25%74.9%0.2%0%0%0%6
25%25%74.9%0.2%0%0%0%7
37.5%37.4%62.4%0.2%0%0%0%8
37.5%37.4%62.4%0.2%0%0%0%9
37.5%37.4%62.4%0.2%0%0%0%10
37.5%37.4%62.4%0.2%0%0%0%11
48.4%48.3%51.5%0.2%0%0%0%12
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.1s (12%)

Memory
33.3MiB live, 1 320.6MiB allocated
Samples
724.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 356.0ms
ival-mult: 192.0ms (54% of total)
ival-div: 88.0ms (24.7% of total)
ival-sub: 62.0ms (17.4% of total)
ival-true: 6.0ms (1.7% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain109.0ms (1.2%)

Memory
7.0MiB live, 236.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-2(3.7491756855774975e-208 -3.1267074900062356e-212 -1.3519495675096791e-121 -3.512113444117228e-202)(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
30-0-(-.f64 (*.f64 y z) (*.f64 t z))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-t
00-0-z
00-0-(*.f64 t z)
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 y z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))n/o290
(*.f64 t z)overflow37
(*.f64 y z)overflow33
(-.f64 (*.f64 y z) (*.f64 t z))overflow59
-.f64(-.f64 (*.f64 y z) (*.f64 t z))nan-rescue30
(*.f64 y z)overflow33
(*.f64 t z)overflow37
/.f64(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))n/u30
(*.f64 t z)underflow24
(*.f64 y z)underflow27
(-.f64 (*.f64 y z) (*.f64 t z))underflow8
Confusion
Predicted +Predicted -
+354
-0217
Precision
1.0
Recall
0.8974358974358975
Confusion?
Predicted +Predicted MaybePredicted -
+3504
-00217
Precision?
1.0
Recall?
0.8974358974358975
Freqs
test
numberfreq
0221
135
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms512×0valid
Compiler

Compiled 79 to 34 computations (57% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 16.0ms (71.2% of total)
ival-div: 4.0ms (17.8% of total)
ival-sub: 2.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess175.0ms (2%)

Memory
-0.3MiB live, 152.0MiB allocated
Algorithm
egg-herbie
Rules
1 186×div-sub
880×lower-fma.f64
880×lower-fma.f32
852×associate-/r*
846×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051137
1177126
2472126
31807126
44450126
56516126
67612126
77820126
87898126
01011
0159
1279
2539
3889
41199
51709
63029
74929
88449
918609
1024369
1126109
1227099
1327629
1427659
1528039
1628039
028039
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
Outputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y)))
Symmetry

(negabs z)

(negabs x)

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.0%
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify71.0ms (0.8%)

Memory
15.3MiB live, 53.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 t z)
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff320
(-.f64 (*.f64 y z) (*.f64 t z))
Rules
880×lower-fma.f64
880×lower-fma.f32
846×times-frac
784×lower-*.f32
778×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
01528
12728
25328
38828
411928
517028
630228
749228
884428
9186028
10243628
11261028
12270928
13276228
14276528
15280328
16280328
0280328
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(-.f64 (*.f64 y z) (*.f64 t z))
(*.f64 y z)
y
z
(*.f64 t z)
t
Outputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
(-.f64 (*.f64 y z) (*.f64 t z))
(*.f64 (-.f64 y t) z)
(*.f64 y z)
(*.f64 z y)
y
z
(*.f64 t z)
t

localize47.0ms (0.5%)

Memory
-15.6MiB live, 85.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy0
(*.f64 t z)
accuracy0.6640604358302059
(-.f64 (*.f64 y z) (*.f64 t z))
accuracy7.955606702777115
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
Samples
41.0ms256×0valid
Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (62.6% of total)
ival-div: 2.0ms (20.9% of total)
ival-sub: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory
-20.9MiB live, 51.6MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())
Outputs
#s(alt (* y z) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (* y z) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (* y z) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ (* y z) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 y) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 y) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 y) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 y) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* z (- (* -1 y) (* -1 t))))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* z (- (* -1 y) (* -1 t))))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* z (- (* -1 y) (* -1 t))))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* z (- (* -1 y) (* -1 t))))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (- (* y z) (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (- (* y z) (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (- (* y z) (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 z) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 z) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 z) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
26.0ms
x
@-inf
((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z))))
5.0ms
t
@0
((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z))))
2.0ms
x
@0
((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z))))
2.0ms
z
@-inf
((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z))))
1.0ms
z
@inf
((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z))))

simplify201.0ms (2.3%)

Memory
23.4MiB live, 215.3MiB allocated
Algorithm
egg-herbie
Rules
9 616×lower-fma.f64
9 616×lower-fma.f32
5 624×lower-*.f64
5 624×lower-*.f32
2 346×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01901157
16211109
220901067
354491063
084631032
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* y z)
(+ (* -1 (* t z)) (* y z))
(+ (* -1 (* t z)) (* y z))
(+ (* -1 (* t z)) (* y z))
(* t z)
(* t z)
(* t z)
(* t z)
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(* -1 (* t z))
(* t (- (/ (* y z) t) z))
(* t (- (/ (* y z) t) z))
(* t (- (/ (* y z) t) z))
(* t z)
(* t z)
(* t z)
(* t z)
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(* -1 (* t z))
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z))))
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z))))
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z))))
(* t z)
(* t z)
(* t z)
(* t z)
(* -2 (/ x (* t z)))
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t))
(* z (- y t))
(* z (- y t))
(* z (- y t))
(* z (- y t))
(* y z)
(* y z)
(* y z)
(* y z)
(* t z)
(* t z)
(* t z)
(* t z)
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* z (- y t))
(* z (- y t))
(* z (- y t))
(* z (- y t))
(* y z)
(* y z)
(* y z)
(* y z)
(* t z)
(* t z)
(* t z)
(* t z)
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* -1 (* z (- (* -1 y) (* -1 t))))
(* -1 (* z (- (* -1 y) (* -1 t))))
(* -1 (* z (- (* -1 y) (* -1 t))))
(* -1 (* z (- (* -1 y) (* -1 t))))
(* y z)
(* y z)
(* y z)
(* y z)
(* t z)
(* t z)
(* t z)
(* t z)
(* -2 (/ x (* z (- (* -1 y) (* -1 t)))))
(* -2 (/ x (* z (- (* -1 y) (* -1 t)))))
(* -2 (/ x (* z (- (* -1 y) (* -1 t)))))
(* -2 (/ x (* z (- (* -1 y) (* -1 t)))))
(* -1 (* t z))
(- (* y z) (* t z))
(- (* y z) (* t z))
(- (* y z) (* t z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -2 (/ x (* t z)))
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z))))
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z))))))
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z))))))))
(* y z)
(* y (+ z (* -1 (/ (* t z) y))))
(* y (+ z (* -1 (/ (* t z) y))))
(* y (+ z (* -1 (/ (* t z) y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* 2 (/ x (* y z)))
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y)
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y)
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y)
(* y z)
(* -1 (* y (+ (* -1 z) (/ (* t z) y))))
(* -1 (* y (+ (* -1 z) (/ (* t z) y))))
(* -1 (* y (+ (* -1 z) (/ (* t z) y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* 2 (/ x (* y z)))
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y))
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y))
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
Outputs
(* y z)
(*.f64 z y)
(+ (* -1 (* t z)) (* y z))
(*.f64 (-.f64 y t) z)
(+ (* -1 (* t z)) (* y z))
(*.f64 (-.f64 y t) z)
(+ (* -1 (* t z)) (* y z))
(*.f64 (-.f64 y t) z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* 2 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 (/.f64 (/.f64 t y) y) x (/.f64 x y)))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 (/.f64 (/.f64 t y) y) x (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))))))
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(* t (- (/ (* y z) t) z))
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t)
(* t (- (/ (* y z) t) z))
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t)
(* t (- (/ (* y z) t) z))
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(*.f64 (*.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z)) (/.f64 #s(literal -2 binary64) t))
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 t t)) (/.f64 y t)) (/.f64 x z)) t))
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z) (*.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 t t)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) t))
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z))))
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t)
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z))))
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t)
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z))))
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t))
(*.f64 (*.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z)) (/.f64 #s(literal -2 binary64) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t))
(/.f64 (fma.f64 (*.f64 (/.f64 x z) (fma.f64 y (/.f64 y t) y)) (/.f64 #s(literal -2 binary64) t) (*.f64 (/.f64 x z) #s(literal -2 binary64))) t)
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t))
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x z) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) t))) t))) t)) t)
(* z (- y t))
(*.f64 (-.f64 y t) z)
(* z (- y t))
(*.f64 (-.f64 y t) z)
(* z (- y t))
(*.f64 (-.f64 y t) z)
(* z (- y t))
(*.f64 (-.f64 y t) z)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* z (- y t))
(*.f64 (-.f64 y t) z)
(* z (- y t))
(*.f64 (-.f64 y t) z)
(* z (- y t))
(*.f64 (-.f64 y t) z)
(* z (- y t))
(*.f64 (-.f64 y t) z)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* -1 (* z (- (* -1 y) (* -1 t))))
(*.f64 (-.f64 y t) z)
(* -1 (* z (- (* -1 y) (* -1 t))))
(*.f64 (-.f64 y t) z)
(* -1 (* z (- (* -1 y) (* -1 t))))
(*.f64 (-.f64 y t) z)
(* -1 (* z (- (* -1 y) (* -1 t))))
(*.f64 (-.f64 y t) z)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* -2 (/ x (* z (- (* -1 y) (* -1 t)))))
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64))
(* -2 (/ x (* z (- (* -1 y) (* -1 t)))))
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64))
(* -2 (/ x (* z (- (* -1 y) (* -1 t)))))
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64))
(* -2 (/ x (* z (- (* -1 y) (* -1 t)))))
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64))
(* -1 (* t z))
(*.f64 (neg.f64 t) z)
(- (* y z) (* t z))
(*.f64 (-.f64 y t) z)
(- (* y z) (* t z))
(*.f64 (-.f64 y t) z)
(- (* y z) (* t z))
(*.f64 (-.f64 y t) z)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z))))
(*.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 (/.f64 (/.f64 x t) t) y (/.f64 x t)))
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z))))))
(*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) y (/.f64 x (*.f64 (*.f64 t t) z))) y (/.f64 x (*.f64 t z))))
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z))))))))
(fma.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 (/.f64 (/.f64 x t) t) y (/.f64 x t)) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 (/.f64 x (pow.f64 t #s(literal 4 binary64))) y (/.f64 x (pow.f64 t #s(literal 3 binary64))))) (*.f64 y y)))
(* y z)
(*.f64 z y)
(* y (+ z (* -1 (/ (* t z) y))))
(*.f64 (-.f64 y t) z)
(* y (+ z (* -1 (/ (* t z) y))))
(*.f64 (-.f64 y t) z)
(* y (+ z (* -1 (/ (* t z) y))))
(*.f64 (-.f64 y t) z)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* 2 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y)
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y)
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y)
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 x z) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 t y)) (/.f64 t y)) (/.f64 x z)) y))
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y)
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x z) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 t y)) (/.f64 t y) (pow.f64 (/.f64 t y) #s(literal 3 binary64))) (/.f64 x z))) y)
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (/ (* t z) y))))
(*.f64 (-.f64 y t) z)
(* -1 (* y (+ (* -1 z) (/ (* t z) y))))
(*.f64 (-.f64 y t) z)
(* -1 (* y (+ (* -1 z) (/ (* t z) y))))
(*.f64 (-.f64 y t) z)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* y z)
(*.f64 z y)
(* 2 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y))
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y)
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y))
(/.f64 (fma.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x z) #s(literal 2 binary64))) y)
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y))
(/.f64 (fma.f64 (/.f64 x z) #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 x z) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x z) (/.f64 (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y)) y)))) y)) y)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))

rewrite211.0ms (2.4%)

Memory
10.2MiB live, 250.5MiB allocated
Rules
4 490×lower-*.f32
4 484×lower-*.f64
3 948×lower-/.f32
3 946×lower-/.f64
3 788×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
01523
14823
233023
3346923
0822723
Stop Event
iter limit
node limit
iter limit
Counts
5 → 400
Calls
Call 1
Inputs
(-.f64 (*.f64 y z) (*.f64 t z))
(*.f64 x #s(literal 2 binary64))
(*.f64 y z)
(*.f64 t z)
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (-.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (*.f64 z y) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (-.f64 y t) z))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z z) t) (-.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 z)) (-.f64 y t))
(*.f64 (/.f64 (*.f64 (+.f64 t y) z) z) (/.f64 (*.f64 (-.f64 y t) z) (+.f64 t y)))
(*.f64 (neg.f64 z) (neg.f64 (-.f64 y t)))
(*.f64 (pow.f64 (*.f64 (+.f64 t y) z) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))
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(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 z z) t) (-.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (*.f64 (-.f64 y t) z)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (-.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (*.f64 z y) #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) z) (+.f64 t y)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (pow.f64 (*.f64 (+.f64 t y) z) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x z)) (-.f64 y t))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 y t) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 y t)) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (-.f64 y t) x))
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y t) (*.f64 #s(literal 2 binary64) (/.f64 x z)))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (/.f64 (-.f64 y t) x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y t) (*.f64 #s(literal 2 binary64) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x))))
(/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 z) (-.f64 y t)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z))
(/.f64 x (*.f64 z (*.f64 (-.f64 y t) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 y t)))))
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 y t))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 z y)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 z y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) y)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y))))
(fma.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))))
(fma.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))))
(fma.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 y t) z)) (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 y t))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 y t))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (*.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (*.f64 (*.f64 t z) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t))) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) y) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))))
(+.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 z y)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 z y)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) y)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y))))

eval143.0ms (1.6%)

Memory
-38.2MiB live, 127.7MiB allocated
Compiler

Compiled 12 941 to 1 369 computations (89.4% saved)

prune113.0ms (1.3%)

Memory
29.2MiB live, 152.4MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New53410544
Fresh000
Picked101
Done000
Total53510545
Accuracy
100.0%
Counts
545 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.3%
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z)
89.5%
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))
87.6%
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
52.3%
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
91.6%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x))))
88.5%
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x)
89.4%
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))
41.3%
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (*.f64 (+.f64 t y) z) x))
87.0%
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)))
46.8%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
Compiler

Compiled 206 to 198 computations (3.9% saved)

simplify213.0ms (2.4%)

Memory
-15.3MiB live, 57.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y t)
cost-diff0
(*.f64 (-.f64 y t) #s(literal 1/2 binary64))
cost-diff0
(/.f64 x z)
cost-diff0
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))
cost-diff0
(-.f64 y t)
cost-diff0
(/.f64 #s(literal 2 binary64) (-.f64 y t))
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))
cost-diff-384
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
cost-diff0
(-.f64 y t)
cost-diff0
(*.f64 (-.f64 y t) z)
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 t z)
cost-diff0
(/.f64 x (*.f64 t z))
cost-diff0
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
cost-diff0
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
cost-diff0
(-.f64 y t)
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t))
cost-diff0
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z)
Rules
1 824×lower-fma.f64
1 824×lower-fma.f32
1 536×lower-*.f32
1 522×lower-*.f64
852×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028140
043138
179138
2140138
3216138
4305138
5440138
6740138
71100138
81869138
93152138
104064138
114407138
124476138
134504138
144518138
154673138
165073138
175279138
185371138
195379138
205379138
215379138
225623138
235623138
05623138
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z)
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(-.f64 y t)
y
t
z
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(/.f64 x (*.f64 t z))
x
(*.f64 t z)
t
z
#s(literal -2 binary64)
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 (-.f64 y t) z)
(-.f64 y t)
y
t
z
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))
(/.f64 x z)
x
z
(/.f64 #s(literal 2 binary64) (-.f64 y t))
#s(literal 2 binary64)
(-.f64 y t)
y
t
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))
(/.f64 x z)
x
z
(*.f64 (-.f64 y t) #s(literal 1/2 binary64))
(-.f64 y t)
y
t
#s(literal 1/2 binary64)
Outputs
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z)
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 x z))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x
(-.f64 y t)
y
t
z
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 z t))))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 z t)))
(/.f64 x (*.f64 t z))
(/.f64 x (*.f64 z t))
x
(*.f64 t z)
(*.f64 z t)
t
z
#s(literal -2 binary64)
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 x z))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 (-.f64 y t) z)
(*.f64 z (-.f64 y t))
(-.f64 y t)
y
t
z
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 x z))
(/.f64 x z)
x
z
(/.f64 #s(literal 2 binary64) (-.f64 y t))
(/.f64 #s(literal -2 binary64) (-.f64 t y))
#s(literal 2 binary64)
(-.f64 y t)
y
t
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 x z))
(/.f64 x z)
x
z
(*.f64 (-.f64 y t) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y t))
(-.f64 y t)
y
t
#s(literal 1/2 binary64)

localize130.0ms (1.5%)

Memory
8.6MiB live, 129.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x z)
accuracy0
(-.f64 y t)
accuracy0
(*.f64 (-.f64 y t) #s(literal 1/2 binary64))
accuracy6.711603300882615
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))
accuracy0
(/.f64 x z)
accuracy0
(-.f64 y t)
accuracy0.01171875
(/.f64 #s(literal 2 binary64) (-.f64 y t))
accuracy6.754572050882615
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))
accuracy0
(-.f64 y t)
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy0.01171875
(*.f64 (-.f64 y t) z)
accuracy7.955606702777115
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
accuracy0
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
accuracy0
(*.f64 t z)
accuracy7.194654284924065
(/.f64 x (*.f64 t z))
accuracy29.30219871211634
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
accuracy0
(-.f64 y t)
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy0.01953125
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t))
accuracy4.946335289783523
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z)
Samples
95.0ms256×0valid
Compiler

Compiled 134 to 27 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 18.0ms (54.3% of total)
ival-div: 12.0ms (36.2% of total)
ival-sub: 2.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series56.0ms (0.6%)

Memory
5.5MiB live, 122.1MiB allocated
Counts
16 → 528
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (-.f64 y t)) (patch (/.f64 #s(literal 2 binary64) (-.f64 y t)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (/ 2 y) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 y t)) (patch (/.f64 #s(literal 2 binary64) (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 y t)) (patch (/.f64 #s(literal 2 binary64) (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 y t)) (patch (/.f64 #s(literal 2 binary64) (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (-.f64 y t)) (patch (/.f64 #s(literal 2 binary64) (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 y) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 t) (* 1/2 y)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 t) (* 1/2 y)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 t) (* 1/2 y)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor inf t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) (taylor inf t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) (taylor inf t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) (taylor inf t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x t)) (taylor inf t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 x) (* -2 (/ (* x y) t))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (* -2 (/ (* x (pow y 2)) (pow t 2))))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (+ (* -2 (/ (* x (pow y 2)) (pow t 2))) (* -2 (/ (* x (pow y 3)) (pow t 3)))))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (* -1 t) (taylor inf t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ y t) 1)) (taylor inf t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ y t) 1)) (taylor inf t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* t (- (/ y t) 1)) (taylor inf t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
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#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (* t z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ x (* t z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ x (* t z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ x (* t z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (patch (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@0
((/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* 2 x) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ (/ x z) (* (- y t) 1/2)) (* (- y t) 1/2))
5.0ms
z
@0
((/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* 2 x) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ (/ x z) (* (- y t) 1/2)) (* (- y t) 1/2))
5.0ms
t
@-inf
((/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* 2 x) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ (/ x z) (* (- y t) 1/2)) (* (- y t) 1/2))
4.0ms
x
@inf
((/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* 2 x) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ (/ x z) (* (- y t) 1/2)) (* (- y t) 1/2))
3.0ms
x
@-inf
((/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* 2 x) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (* x 2) (* (- y t) z) (/ (* x 2) (* (- y t) z)) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ (/ x z) (* (- y t) 1/2)) (* (- y t) 1/2))

simplify211.0ms (2.4%)

Memory
-19.0MiB live, 338.1MiB allocated
Algorithm
egg-herbie
Rules
11 574×lower-fma.f64
11 574×lower-fma.f32
5 600×lower-*.f64
5 600×lower-*.f32
3 490×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04725926
114395641
242065308
379865308
086205103
Stop Event
iter limit
node limit
Counts
528 → 525
Calls
Call 1
Inputs
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(* 2 (/ x y))
(+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2))))
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3))))))
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4))))))))
y
(+ y (* -1 t))
(+ y (* -1 t))
(+ y (* -1 t))
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ x (* t z))
(/ x (* t z))
(/ x (* t z))
(/ x (* t z))
(* t z)
(* t z)
(* t z)
(* t z)
(* y z)
(+ (* -1 (* t z)) (* y z))
(+ (* -1 (* t z)) (* y z))
(+ (* -1 (* t z)) (* y z))
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(/ 2 y)
(+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y)))
(+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(* 1/2 y)
(+ (* -1/2 t) (* 1/2 y))
(+ (* -1/2 t) (* 1/2 y))
(+ (* -1/2 t) (* 1/2 y))
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(* -2 (/ x t))
(/ (+ (* -2 x) (* -2 (/ (* x y) t))) t)
(/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (* -2 (/ (* x (pow y 2)) (pow t 2))))) t)
(/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (+ (* -2 (/ (* x (pow y 2)) (pow t 2))) (* -2 (/ (* x (pow y 3)) (pow t 3)))))) t)
(* -1 t)
(* t (- (/ y t) 1))
(* t (- (/ y t) 1))
(* t (- (/ y t) 1))
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ x (* t z))
(/ x (* t z))
(/ x (* t z))
(/ x (* t z))
(* t z)
(* t z)
(* t z)
(* t z)
(* -1 (* t z))
(* t (+ (* -1 z) (/ (* y z) t)))
(* t (+ (* -1 z) (/ (* y z) t)))
(* t (+ (* -1 z) (/ (* y z) t)))
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(/ -2 t)
(/ (- (* -2 (/ y t)) 2) t)
(/ (- (* -2 (/ (pow y 2) (pow t 2))) (+ 2 (* 2 (/ y t)))) t)
(/ (- (* -2 (/ (pow y 3) (pow t 3))) (+ 2 (+ (* 2 (/ y t)) (* 2 (/ (pow y 2) (pow t 2)))))) t)
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(* -1/2 t)
(* t (- (* 1/2 (/ y t)) 1/2))
(* t (- (* 1/2 (/ y t)) 1/2))
(* t (- (* 1/2 (/ y t)) 1/2))
(* -2 (/ x (* t z)))
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t))
(* -2 (/ x t))
(* -1 (/ (+ (* 2 x) (* 2 (/ (* x y) t))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* x y)) (* -2 (/ (* x (pow y 2)) t))) t)) (* 2 x)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* x y)) (* -1 (/ (+ (* 2 (* x (pow y 2))) (* 2 (/ (* x (pow y 3)) t))) t))) t)) (* 2 x)) t))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ y t)))))
(* -1 (* t (+ 1 (* -1 (/ y t)))))
(* -1 (* t (+ 1 (* -1 (/ y t)))))
(* -2 (/ x (* t z)))
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ x (* t z))
(/ x (* t z))
(/ x (* t z))
(/ x (* t z))
(* t z)
(* t z)
(* t z)
(* t z)
(* -1 (* t z))
(* -1 (* t (+ z (* -1 (/ (* y z) t)))))
(* -1 (* t (+ z (* -1 (/ (* y z) t)))))
(* -1 (* t (+ z (* -1 (/ (* y z) t)))))
(* -2 (/ x (* t z)))
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t))
(* -2 (/ x (* t z)))
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t))
(/ -2 t)
(* -1 (/ (+ 2 (* 2 (/ y t))) t))
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) t)) (* 2 y)) t))) t))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) t)) (* -2 (pow y 2))) t)) (* 2 y)) t))) t))
(* -2 (/ x (* t z)))
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t))
(* -1/2 t)
(* -1 (* t (+ 1/2 (* -1/2 (/ y t)))))
(* -1 (* t (+ 1/2 (* -1/2 (/ y t)))))
(* -1 (* t (+ 1/2 (* -1/2 (/ y t)))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ x (* t z))
(/ x (* t z))
(/ x (* t z))
(/ x (* t z))
(* t z)
(* t z)
(* t z)
(* t z)
(* z (- y t))
(* z (- y t))
(* z (- y t))
(* z (- y t))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ x (* t z))
(/ x (* t z))
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(* t z)
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(* -2 (/ x (* t z)))
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(* -2 (/ x t))
(+ (* -2 (/ x t)) (* -2 (/ (* x y) (pow t 2))))
(+ (* -2 (/ x t)) (* y (+ (* -2 (/ x (pow t 2))) (* -2 (/ (* x y) (pow t 3))))))
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(* -1 t)
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(- y t)
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(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z))))))
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z))))))))
(* -1 (* t z))
(+ (* -1 (* t z)) (* y z))
(+ (* -1 (* t z)) (* y z))
(+ (* -1 (* t z)) (* y z))
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(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z))))))
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z))))))))
(* -2 (/ x (* t z)))
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z))))
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z))))))
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z))))))))
(/ -2 t)
(- (* -2 (/ y (pow t 2))) (* 2 (/ 1 t)))
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(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z))))
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z))))))
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z))))))))
(* -1/2 t)
(+ (* -1/2 t) (* 1/2 y))
(+ (* -1/2 t) (* 1/2 y))
(+ (* -1/2 t) (* 1/2 y))
(* 2 (/ x (* y z)))
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y)
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y)
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y)
(* 2 (/ x y))
(/ (+ (* 2 x) (* 2 (/ (* t x) y))) y)
(/ (+ (* 2 x) (+ (* 2 (/ (* t x) y)) (* 2 (/ (* (pow t 2) x) (pow y 2))))) y)
(/ (+ (* 2 x) (+ (* 2 (/ (* t x) y)) (+ (* 2 (/ (* (pow t 2) x) (pow y 2))) (* 2 (/ (* (pow t 3) x) (pow y 3)))))) y)
y
(* y (+ 1 (* -1 (/ t y))))
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(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y)
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y)
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y)
(* y z)
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(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y)
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y)
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y)
(* 2 (/ x (* y z)))
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y)
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y)
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y)
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(/ (+ 2 (* 2 (/ t y))) y)
(/ (- (+ 2 (* 2 (/ (pow t 2) (pow y 2)))) (* -2 (/ t y))) y)
(/ (- (+ 2 (* 2 (/ (pow t 3) (pow y 3)))) (+ (* -2 (/ t y)) (* -2 (/ (pow t 2) (pow y 2))))) y)
(* 2 (/ x (* y z)))
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y)
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y)
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y)
(* 1/2 y)
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(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y))
(* 2 (/ x y))
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(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* 2 (* t x)) (* 2 (/ (* (pow t 2) x) y))) y))) y))
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow t 2) x)) (* -2 (/ (* (pow t 3) x) y))) y)) (* 2 (* t x))) y))) y))
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(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y))
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y))
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(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y))
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y))
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y))
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(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y))
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(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y))
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(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y))
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(* 2 (/ x (- y t)))
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(* 2 x)
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(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ x (* t z))
(/ x (* t z))
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(/ x (* t z))
(* 2 x)
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(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
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(* 2 (/ x (* z (- y t))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
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(* 2 (/ x (- y t)))
(* 2 (/ x (- y t)))
(* 2 (/ x (- y t)))
(* 2 (/ x (- y t)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
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(* 2 (/ x (- (* y z) (* t z))))
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(* 2 (/ x (- (* y z) (* t z))))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ x (* t z))
(/ x (* t z))
(/ x (* t z))
(/ x (* t z))
(* 2 x)
(* 2 x)
(* 2 x)
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(/ x z)
(/ x z)
(/ x z)
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Outputs
(* 2 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(*.f64 (/.f64 x z) (/.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (+.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 (/.f64 x y) y))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(fma.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 x z) (/.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64)) y)))
(* 2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2))))
(*.f64 (/.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 x y) t x))
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3))))))
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (+.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 (/.f64 x y) y)) t (/.f64 x y)))
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4))))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) t (/.f64 (/.f64 x y) y))) t (*.f64 (/.f64 x y) #s(literal 2 binary64)))
y
(+ y (* -1 t))
(-.f64 y t)
(+ y (* -1 t))
(-.f64 y t)
(+ y (* -1 t))
(-.f64 y t)
(* 2 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(*.f64 (/.f64 x z) (/.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (+.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 (/.f64 x y) y))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(fma.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 x z) (/.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64)) y)))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(/ x (* t z))
(/.f64 x (*.f64 t z))
(/ x (* t z))
(/.f64 x (*.f64 t z))
(/ x (* t z))
(/.f64 x (*.f64 t z))
(/ x (* t z))
(/.f64 x (*.f64 t z))
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* y z)
(*.f64 z y)
(+ (* -1 (* t z)) (* y z))
(*.f64 (-.f64 y t) z)
(+ (* -1 (* t z)) (* y z))
(*.f64 (-.f64 y t) z)
(+ (* -1 (* t z)) (* y z))
(*.f64 (-.f64 y t) z)
(* 2 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(*.f64 (/.f64 x z) (/.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (+.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 (/.f64 x y) y))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(fma.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 x z) (/.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64)) y)))
(* 2 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(*.f64 (/.f64 x z) (/.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (+.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 (/.f64 x y) y))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(fma.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 x z) (/.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64)) y)))
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y)))
(/.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64)) y)
(+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(fma.f64 (*.f64 t (/.f64 t (pow.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 t y) #s(literal 2 binary64) #s(literal 2 binary64)) y))
(+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
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(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- y t)))
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))
(* 2 (/ x (- y t)))
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))
(* 2 (/ x (- y t)))
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))
(* 2 (/ x (- y t)))
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(/ x (* t z))
(/.f64 x (*.f64 t z))
(/ x (* t z))
(/.f64 x (*.f64 t z))
(/ x (* t z))
(/.f64 x (*.f64 t z))
(/ x (* t z))
(/.f64 x (*.f64 t z))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))

rewrite374.0ms (4.2%)

Memory
12.9MiB live, 208.6MiB allocated
Rules
5 554×lower-*.f32
5 540×lower-*.f64
4 516×lower-/.f32
4 502×lower-/.f64
4 288×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028104
043102
1159102
2971102
08486102
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 649
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z)
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t))
(*.f64 #s(literal 2 binary64) x)
(-.f64 y t)
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(/.f64 x (*.f64 t z))
(*.f64 t z)
(*.f64 x #s(literal 2 binary64))
(*.f64 (-.f64 y t) z)
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))
(/.f64 x z)
(/.f64 #s(literal 2 binary64) (-.f64 y t))
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y t) #s(literal 1/2 binary64))
Outputs
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) z) (+.f64 t y))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) #s(literal 1 binary64)) (pow.f64 (-.f64 y t) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (/.f64 x (-.f64 y t)))) (+.f64 t y))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (/.f64 (/.f64 x (-.f64 y t)) z))) (+.f64 t y))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z)))) (*.f64 z (+.f64 t y)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (/.f64 x (+.f64 t y)) (-.f64 y t))) (+.f64 t y))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(*.f64 (*.f64 (/.f64 x z) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (-.f64 y t))) (+.f64 t y))
(*.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(*.f64 (*.f64 x (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 z (+.f64 t y))) (*.f64 z (-.f64 y t)))) (*.f64 z (+.f64 t y)))
(*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x z) (*.f64 (+.f64 t y) (-.f64 y t)))) (+.f64 t y))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 t y) x) (/.f64 z #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 t y) x) (/.f64 z #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 y t)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 z (-.f64 y t)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) z))
(*.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) z))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (-.f64 y t)) z) (/.f64 (+.f64 t y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) z) (/.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 1/2 binary64) (-.f64 y t))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 z (-.f64 y t))))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) z))
(*.f64 (/.f64 x (-.f64 t y)) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (-.f64 t y)) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (-.f64 t y)) (/.f64 #s(literal -2 binary64) z))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (/.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) z))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 t y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (pow.f64 (*.f64 z (-.f64 y t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y t) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (/.f64 x (-.f64 y t))) (*.f64 (+.f64 t y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (/.f64 x (-.f64 y t))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 z (+.f64 t y))) (*.f64 z (-.f64 y t))) (*.f64 (*.f64 z (+.f64 t y)) x))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 z (+.f64 t y))) (*.f64 z (-.f64 y t))) (/.f64 x (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64)) (*.f64 z (-.f64 y t))) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (/.f64 (/.f64 x (-.f64 y t)) z)) (+.f64 t y))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (*.f64 z (+.f64 t y)))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 x (+.f64 t y)) (-.f64 y t)) (*.f64 (+.f64 t y) (/.f64 #s(literal 2 binary64) z)))
(*.f64 (/.f64 (/.f64 x (+.f64 t y)) (-.f64 y t)) (/.f64 (/.f64 #s(literal 2 binary64) z) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (/.f64 #s(literal 2 binary64) z)))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 2 binary64) z) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 x z) (*.f64 (+.f64 t y) (-.f64 y t))) (*.f64 (+.f64 t y) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 x z) (*.f64 (+.f64 t y) (-.f64 y t))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 x z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 x z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (-.f64 y t)) (/.f64 (/.f64 x z) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (-.f64 y t)) (*.f64 (+.f64 t y) (/.f64 x z)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (/.f64 x z) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (/.f64 x z)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z) x)
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y t))))
(*.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) (/.f64 (/.f64 x z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) (*.f64 (/.f64 x z) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y)))
(*.f64 (/.f64 (/.f64 x z) (-.f64 t y)) #s(literal -2 binary64))
(*.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) (pow.f64 (-.f64 t y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 x (-.f64 y t)) z)))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (pow.f64 (-.f64 y t) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) z) x))
(*.f64 (pow.f64 (*.f64 z (-.f64 y t)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 z (-.f64 y t)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 z (-.f64 y t)) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 t y)) (/.f64 #s(literal -2 binary64) z)))
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
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(+.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y)) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (/.f64 (/.f64 x (-.f64 y t)) z)) t) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (/.f64 (/.f64 x (-.f64 y t)) z)) y))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (/.f64 (/.f64 x (-.f64 y t)) z)) y) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (/.f64 (/.f64 x (-.f64 y t)) z)) t))
(+.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 y y (*.f64 t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 t y)))
(+.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 t (+.f64 t y))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 y y)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 t (+.f64 t y))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (*.f64 z t)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (*.f64 z y)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (*.f64 z y)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (*.f64 z t)))
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (fma.f64 y y (*.f64 t t)))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z t) y) z)))
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 z z) t) (+.f64 t y))))
(*.f64 (/.f64 (+.f64 t y) #s(literal 2 binary64)) (/.f64 (-.f64 y t) (+.f64 t y)))
(*.f64 (/.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal 2 binary64)) (/.f64 (-.f64 y t) (fma.f64 t (+.f64 t y) (*.f64 y y))))
(*.f64 (*.f64 (+.f64 t y) (*.f64 #s(literal 1/2 binary64) (-.f64 y t))) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 t y)) (-.f64 y t)) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 t y))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y t)))
(*.f64 (*.f64 (+.f64 t y) (-.f64 y t)) (*.f64 (pow.f64 (+.f64 t y) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 t y) (-.f64 y t)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 t y))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 y t)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 t (+.f64 t y) (*.f64 y y)))))
(*.f64 (-.f64 t y) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y t)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y t))
(*.f64 (-.f64 y t) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y t)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 t y)) (-.f64 y t))) (+.f64 t y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 t y) (-.f64 t y))) (neg.f64 (+.f64 t y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (fma.f64 t (+.f64 t y) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 t #s(literal 1/2 binary64)) (*.f64 t #s(literal 1/2 binary64)))) (fma.f64 y #s(literal 1/2 binary64) (*.f64 t #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 t) #s(literal 1/2 binary64)))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (neg.f64 t) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal -1/2 binary64) t))) (-.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) t)))
(/.f64 (-.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) (*.f64 t #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 t #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 t) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 t) #s(literal 1/2 binary64))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (neg.f64 t) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) t) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal -1/2 binary64) t)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) t)))))
(/.f64 (/.f64 (*.f64 (+.f64 t y) (-.f64 y t)) #s(literal 2 binary64)) (+.f64 t y))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (+.f64 t y) (*.f64 #s(literal 1/2 binary64) (-.f64 y t)))) (neg.f64 (+.f64 t y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 t (+.f64 t y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 t y)) (-.f64 y t))) (neg.f64 (+.f64 t y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (fma.f64 t (+.f64 t y) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (+.f64 t y) (-.f64 t y)) #s(literal 1/2 binary64)) (neg.f64 (+.f64 t y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 t (+.f64 t y) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) t)) #s(literal 4 binary64))
(/.f64 (*.f64 (+.f64 t y) (*.f64 #s(literal 1/2 binary64) (-.f64 y t))) (+.f64 t y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y y (*.f64 (neg.f64 t) (-.f64 (neg.f64 t) y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 t y)) (-.f64 y t)) (+.f64 t y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (neg.f64 t) (-.f64 (neg.f64 t) y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(/.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 t y) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 t y) (-.f64 t y)) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 t y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (+.f64 t y) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 y t)))
(/.f64 (*.f64 (+.f64 t y) (-.f64 y t)) (*.f64 #s(literal 2 binary64) (+.f64 t y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t y) (*.f64 (+.f64 t y) (*.f64 #s(literal 1/2 binary64) (-.f64 y t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t y) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 t y)) (-.f64 y t))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 y t)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 t (+.f64 t y) (*.f64 y y))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y t)) #s(literal -1 binary64))
(/.f64 (-.f64 t y) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y t)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 y t) #s(literal -1 binary64)))
(/.f64 (-.f64 y t) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y t)))
(fma.f64 #s(literal -1/2 binary64) t (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1 binary64) (*.f64 t #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 t) #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 t) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -1/2 binary64) t))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (neg.f64 t) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 2 binary64) (+.f64 t y))) (/.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) (+.f64 t y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 t (+.f64 t y) (*.f64 y y)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (fma.f64 t (+.f64 t y) (*.f64 y y)))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 t y)) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 t t) (+.f64 t y)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 t (+.f64 t y) (*.f64 y y))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (+.f64 t y) (*.f64 y y))) #s(literal 2 binary64)))
(-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 t #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 y t)))
(+.f64 (*.f64 (neg.f64 t) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) t))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (neg.f64 t) #s(literal 1/2 binary64)))

eval669.0ms (7.5%)

Memory
-1.1MiB live, 646.3MiB allocated
Compiler

Compiled 45 073 to 3 223 computations (92.8% saved)

prune255.0ms (2.9%)

Memory
-0.1MiB live, 489.3MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New2 466102 476
Fresh325
Picked325
Done000
Total2 472142 486
Accuracy
100.0%
Counts
2 486 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)))
87.6%
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
52.3%
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
52.8%
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)
91.6%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z))
92.2%
(*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z))
50.3%
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))
52.5%
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))
87.0%
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)))
52.8%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))
50.5%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
47.0%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 #s(literal -2 binary64) t) z) x))
46.8%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
50.2%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
Compiler

Compiled 217 to 236 computations (-8.8% saved)

simplify195.0ms (2.2%)

Memory
-20.3MiB live, 97.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -2 binary64) t)
cost-diff0
#s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))
cost-diff0
(/.f64 t x)
cost-diff0
(*.f64 (/.f64 t x) z)
cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))
cost-diff0
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
cost-diff0
(/.f64 #s(literal -2 binary64) z)
cost-diff0
(/.f64 x t)
cost-diff0
(*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))
cost-diff0
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (- (* y z) (* t z)) (*.f64 z y))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
cost-diff0
(/.f64 #s(literal 2 binary64) z)
cost-diff0
(-.f64 y t)
cost-diff0
(/.f64 x (-.f64 y t))
cost-diff0
(*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z))
Rules
2 152×lower-fma.f64
2 152×lower-fma.f32
1 888×lower-*.f32
1 876×lower-*.f64
1 134×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033167
049159
180159
2127159
3168159
4205159
5274159
6454159
7651159
81238159
92707159
104466159
115191159
125398159
135501159
145553159
155786159
166615159
177523159
187575159
197583159
207587159
217591159
227591159
237755159
08031159
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z))
(/.f64 x (-.f64 y t))
x
(-.f64 y t)
y
t
(/.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(approx (- (* y z) (* t z)) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
(*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))
(/.f64 x t)
x
t
(/.f64 #s(literal -2 binary64) z)
#s(literal -2 binary64)
z
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))
#s(literal -2 binary64)
(*.f64 (/.f64 t x) z)
(/.f64 t x)
t
x
z
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))
(/.f64 x z)
x
z
#s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))
(/.f64 #s(literal -2 binary64) t)
#s(literal -2 binary64)
t
Outputs
(*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y)))
(/.f64 x (-.f64 y t))
x
(-.f64 y t)
y
t
(/.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
#s(approx (- (* y z) (* t z)) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
(*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))
(/.f64 x t)
x
t
(/.f64 #s(literal -2 binary64) z)
#s(literal -2 binary64)
z
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))
#s(literal -2 binary64)
(*.f64 (/.f64 t x) z)
(/.f64 t x)
t
x
z
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))
(*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) (/.f64 x z))
(/.f64 x z)
x
z
#s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))
(/.f64 #s(literal -2 binary64) t)
#s(literal -2 binary64)
t

localize79.0ms (0.9%)

Memory
23.8MiB live, 142.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x z)
accuracy0
(/.f64 #s(literal -2 binary64) t)
accuracy6.754572050882615
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))
accuracy31.862358262684825
#s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))
accuracy0
(/.f64 t x)
accuracy0.752583360976294
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))
accuracy5.035551798948124
(*.f64 (/.f64 t x) z)
accuracy29.30219871211634
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
accuracy0
(/.f64 x t)
accuracy0
(/.f64 #s(literal -2 binary64) z)
accuracy5.268180572645666
(*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))
accuracy29.30219871211634
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
accuracy0
(*.f64 z y)
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy7.955606702777115
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
accuracy27.334458452801158
#s(approx (- (* y z) (* t z)) (*.f64 z y))
accuracy0
(/.f64 #s(literal 2 binary64) z)
accuracy0
(-.f64 y t)
accuracy0.01953125
(/.f64 x (-.f64 y t))
accuracy4.981491539783524
(*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z))
Samples
63.0ms256×0valid
Compiler

Compiled 137 to 28 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 20.0ms (49.6% of total)
ival-mult: 18.0ms (44.7% of total)
ival-sub: 2.0ms (5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series52.0ms (0.6%)

Memory
4.2MiB live, 79.6MiB allocated
Counts
20 → 612
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) (patch (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())
#s(alt (/.f64 x (-.f64 y t)) (patch (/.f64 x (-.f64 y t)) #<representation binary64>) () ())
#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) z) (patch (/.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) (patch (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) #<representation binary64>) () ())
#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) z) (patch (/.f64 #s(literal -2 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())
#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) (patch #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) t) (patch (/.f64 #s(literal -2 binary64) t) #<representation binary64>) () ())
Outputs
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) (patch (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) (patch (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) (patch (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) (patch (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 t) (#s(alt (/.f64 x (-.f64 y t)) (patch (/.f64 x (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (/ x y) (/ (* t x) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 x (-.f64 y t)) (patch (/.f64 x (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (- (/ (* t x) (pow y 3)) (* -1 (/ x (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt (/.f64 x (-.f64 y t)) (patch (/.f64 x (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (- (* t (- (/ (* t x) (pow y 4)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt (/.f64 x (-.f64 y t)) (patch (/.f64 x (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) (patch (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) (patch (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) (patch (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) (patch (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor 0 t) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor 0 t) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor 0 t) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor 0 t) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor 0 t) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor 0 t) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ())
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#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) (patch (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) (patch (*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (/ x (- y t)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 y t)) (patch (/.f64 x (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (/ x (- y t)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 y t)) (patch (/.f64 x (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (/ x (- y t)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 y t)) (patch (/.f64 x (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (/ x (- y t)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 y t)) (patch (/.f64 x (-.f64 y t)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) (patch (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) (patch (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) (patch (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) (patch (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 t x) z) (patch (*.f64 (/.f64 t x) z) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor -inf x) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor -inf x) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor -inf x) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ())
#s(alt (/ t x) (taylor -inf x) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((* (/ x (- y t)) (/ 2 z)) (/ x (- y t)) (- y t) (/ 2 z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (* (/ x t) (/ -2 z)) (/ x t) (/ -2 z) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ t x) z)) (* (/ t x) z) (/ t x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ -2 t))
6.0ms
t
@-inf
((* (/ x (- y t)) (/ 2 z)) (/ x (- y t)) (- y t) (/ 2 z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (* (/ x t) (/ -2 z)) (/ x t) (/ -2 z) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ t x) z)) (* (/ t x) z) (/ t x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ -2 t))
3.0ms
x
@inf
((* (/ x (- y t)) (/ 2 z)) (/ x (- y t)) (- y t) (/ 2 z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (* (/ x t) (/ -2 z)) (/ x t) (/ -2 z) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ t x) z)) (* (/ t x) z) (/ t x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ -2 t))
3.0ms
x
@0
((* (/ x (- y t)) (/ 2 z)) (/ x (- y t)) (- y t) (/ 2 z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (* (/ x t) (/ -2 z)) (/ x t) (/ -2 z) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ t x) z)) (* (/ t x) z) (/ t x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ -2 t))
3.0ms
z
@-inf
((* (/ x (- y t)) (/ 2 z)) (/ x (- y t)) (- y t) (/ 2 z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (* (/ x t) (/ -2 z)) (/ x t) (/ -2 z) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ t x) z)) (* (/ t x) z) (/ t x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ -2 t))

simplify189.0ms (2.1%)

Memory
-20.1MiB live, 263.1MiB allocated
Algorithm
egg-herbie
Rules
10 114×lower-fma.f64
10 114×lower-fma.f32
5 564×lower-*.f64
5 564×lower-*.f32
2 936×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04446147
113655862
241145519
081955361
Stop Event
iter limit
node limit
Counts
612 → 609
Calls
Call 1
Inputs
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(/ x y)
(+ (/ x y) (/ (* t x) (pow y 2)))
(+ (* t (- (/ (* t x) (pow y 3)) (* -1 (/ x (pow y 2))))) (/ x y))
(+ (* t (- (* t (- (/ (* t x) (pow y 4)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))) (/ x y))
y
(+ y (* -1 t))
(+ y (* -1 t))
(+ y (* -1 t))
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(* y z)
(+ (* -1 (* t z)) (* y z))
(+ (* -1 (* t z)) (* y z))
(+ (* -1 (* t z)) (* y z))
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ x t)
(/ x t)
(/ x t)
(/ x t)
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ (* t z) x)
(/ (* t z) x)
(/ (* t z) x)
(/ (* t z) x)
(/ t x)
(/ t x)
(/ t x)
(/ t x)
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(/ 2 y)
(+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y)))
(+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ -2 t)
(/ -2 t)
(/ -2 t)
(/ -2 t)
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(* -1 (/ x t))
(/ (+ (* -1 x) (* -1 (/ (* x y) t))) t)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 2)) (pow t 2)))) (/ (* x y) t)) t)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 3)) (pow t 3)))) (+ (/ (* x y) t) (/ (* x (pow y 2)) (pow t 2)))) t)
(* -1 t)
(* t (- (/ y t) 1))
(* t (- (/ y t) 1))
(* t (- (/ y t) 1))
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(* -1 (* t z))
(* t (- (/ (* y z) t) z))
(* t (- (/ (* y z) t) z))
(* t (- (/ (* y z) t) z))
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ x t)
(/ x t)
(/ x t)
(/ x t)
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ (* t z) x)
(/ (* t z) x)
(/ (* t z) x)
(/ (* t z) x)
(/ t x)
(/ t x)
(/ t x)
(/ t x)
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(/ -2 t)
(/ (- (* -2 (/ y t)) 2) t)
(/ (- (* -2 (/ (pow y 2) (pow t 2))) (+ 2 (* 2 (/ y t)))) t)
(/ (- (* -2 (/ (pow y 3) (pow t 3))) (+ 2 (+ (* 2 (/ y t)) (* 2 (/ (pow y 2) (pow t 2)))))) t)
(/ -2 t)
(/ -2 t)
(/ -2 t)
(/ -2 t)
(* -2 (/ x (* t z)))
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t))
(* -1 (/ x t))
(* -1 (/ (+ x (/ (* x y) t)) t))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) t)) (* x y)) t))) t))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) t) (* -1 (* x (pow y 2)))) t)) (* x y)) t))) t))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ y t)))))
(* -1 (* t (+ 1 (* -1 (/ y t)))))
(* -1 (* t (+ 1 (* -1 (/ y t)))))
(* -2 (/ x (* t z)))
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t))
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(/ (- (+ x (/ (* (pow t 3) x) (pow y 3))) (+ (* -1 (/ (* t x) y)) (* -1 (/ (* (pow t 2) x) (pow y 2))))) y)
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(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y)
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(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y)
(* 2 (/ x (* y z)))
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(/ x y)
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(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y))
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(/ (* t z) x)
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(* 2 (/ x (* z (- y t))))
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(/ x z)
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(/ x (- y t))
(/ x (- y t))
(/ x (- y t))
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
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(* 2 (/ x (- (* y z) (* t z))))
(* 2 x)
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Outputs
(* 2 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(*.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (+.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 x y)))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (+.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 (/.f64 x y) y))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(fma.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (+.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 x z) (fma.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(/ x y)
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(+ (/ x y) (/ (* t x) (pow y 2)))
(*.f64 (+.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 x y))
(+ (* t (- (/ (* t x) (pow y 3)) (* -1 (/ x (pow y 2))))) (/ x y))
(fma.f64 (*.f64 (+.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 (/.f64 x y) y)) t (/.f64 x y))
(+ (* t (- (* t (- (/ (* t x) (pow y 4)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))) (/ x y))
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) t (/.f64 x (pow.f64 y #s(literal 3 binary64)))) t (/.f64 (/.f64 x y) y)) t (/.f64 x y))
y
(+ y (* -1 t))
(-.f64 y t)
(+ y (* -1 t))
(-.f64 y t)
(+ y (* -1 t))
(-.f64 y t)
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(/ x (- y t))
(/.f64 x (-.f64 y t))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(/ x t)
(/.f64 x t)
(/ x t)
(/.f64 x t)
(/ x t)
(/.f64 x t)
(/ x t)
(/.f64 x t)
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ t x)
(/.f64 t x)
(/ t x)
(/.f64 t x)
(/ t x)
(/.f64 t x)
(/ t x)
(/.f64 t x)
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(/ x (- y t))
(/.f64 x (-.f64 y t))
(/ x (- y t))
(/.f64 x (-.f64 y t))
(/ x (- y t))
(/.f64 x (-.f64 y t))
(/ x (- y t))
(/.f64 x (-.f64 y t))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(/ x t)
(/.f64 x t)
(/ x t)
(/.f64 x t)
(/ x t)
(/.f64 x t)
(/ x t)
(/.f64 x t)
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ t x)
(/.f64 t x)
(/ t x)
(/.f64 t x)
(/ t x)
(/.f64 t x)
(/ t x)
(/.f64 t x)
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(/ x (- y t))
(/.f64 x (-.f64 y t))
(/ x (- y t))
(/.f64 x (-.f64 y t))
(/ x (- y t))
(/.f64 x (-.f64 y t))
(/ x (- y t))
(/.f64 x (-.f64 y t))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(/ x t)
(/.f64 x t)
(/ x t)
(/.f64 x t)
(/ x t)
(/.f64 x t)
(/ x t)
(/.f64 x t)
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ t x)
(/.f64 t x)
(/ t x)
(/.f64 t x)
(/ t x)
(/.f64 t x)
(/ t x)
(/.f64 t x)
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)

rewrite457.0ms (5.1%)

Memory
29.0MiB live, 184.6MiB allocated
Rules
5 438×lower-*.f32
5 426×lower-*.f64
4 140×lower-fma.f64
4 140×lower-fma.f32
3 974×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033146
049138
1168138
21028138
08487138
Stop Event
iter limit
node limit
iter limit
Counts
20 → 929
Calls
Call 1
Inputs
(*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z))
(/.f64 x (-.f64 y t))
(-.f64 y t)
(/.f64 #s(literal 2 binary64) z)
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
(*.f64 x #s(literal 2 binary64))
#s(approx (- (* y z) (* t z)) (*.f64 z y))
(*.f64 z y)
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
(*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))
(/.f64 x t)
(/.f64 #s(literal -2 binary64) z)
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))
(*.f64 (/.f64 t x) z)
(/.f64 t x)
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))
(/.f64 x z)
#s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))
(/.f64 #s(literal -2 binary64) t)
Outputs
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) z) (+.f64 t y))
(*.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y t) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z))) (+.f64 t y))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z)))) (*.f64 z (+.f64 t y)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 t y) (-.f64 t y)))) (+.f64 t y))
(*.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t)))) (+.f64 t y))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(*.f64 (*.f64 (/.f64 x (-.f64 y t)) (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 x (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z)))) (*.f64 z (+.f64 t y)))
(*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 y t)))
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (-.f64 y t) x) z) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (-.f64 y t) x) z) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) #s(literal -1 binary64)) (/.f64 x (-.f64 t y)))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) z))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (-.f64 y t))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (+.f64 t y) (-.f64 y t))) (/.f64 x (pow.f64 (+.f64 t y) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t))) z) (/.f64 (+.f64 t y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) z) (/.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) z) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 z (-.f64 y t))))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)))
(*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) z)) (+.f64 t y))
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(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) t) x) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 t) z)))
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 t x)))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) t) (*.f64 z #s(literal -1/2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x z) t))))
(neg.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) t)))
(neg.f64 (*.f64 (/.f64 x t) (/.f64 #s(literal 2 binary64) z)))
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (*.f64 z t) #s(literal -1 binary64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -2 binary64) t)))
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 x t)))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 z t)))
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 (neg.f64 x) t)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) t) (/.f64 #s(literal -2 binary64) z)))
(neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x z) t)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z t)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 z t)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x z) t)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 t x) z) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 z t) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 z (pow.f64 t #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t)) (/.f64 (neg.f64 z) x))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 t) x))
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 (neg.f64 z) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (/.f64 #s(literal -1 binary64) t)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 t) z))
(*.f64 (/.f64 (neg.f64 z) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t)))
(*.f64 (/.f64 (neg.f64 z) x) (neg.f64 t))
(*.f64 (/.f64 (neg.f64 t) x) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) x) t))
(*.f64 (*.f64 (neg.f64 t) z) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z (pow.f64 t #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 z t))
(*.f64 (/.f64 z x) t)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 t x) z))
(*.f64 (neg.f64 t) (*.f64 (/.f64 #s(literal -1 binary64) x) z))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 t) x))
(*.f64 (*.f64 (/.f64 t x) z) #s(literal 1 binary64))
(*.f64 (/.f64 t x) z)
(*.f64 (*.f64 z t) (pow.f64 x #s(literal -1 binary64)))
(*.f64 z (/.f64 t x))
(*.f64 t (/.f64 z x))
(pow.f64 (/.f64 (/.f64 x z) t) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 z t) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 z t) #s(literal 1 binary64)) x)
(/.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 x) t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x z) t)))
(/.f64 (*.f64 (neg.f64 t) z) (neg.f64 x))
(/.f64 (/.f64 z x) (pow.f64 t #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x z) t) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) t))
(/.f64 (*.f64 (/.f64 (neg.f64 z) x) t) #s(literal -1 binary64))
(/.f64 (neg.f64 z) (/.f64 (neg.f64 x) t))
(/.f64 (*.f64 (/.f64 t x) z) #s(literal 1 binary64))
(/.f64 (*.f64 z t) x)
(/.f64 z (/.f64 x t))
(/.f64 t (/.f64 x z))
(neg.f64 (*.f64 (/.f64 (neg.f64 z) x) t))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (/.f64 (neg.f64 z) x) t))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 z) x) t))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) t)
(*.f64 (pow.f64 (/.f64 x t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x t) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 t))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) t)
(*.f64 #s(literal 1 binary64) (/.f64 t x))
(*.f64 (neg.f64 t) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 t x) #s(literal 1 binary64))
(*.f64 t (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 t x) #s(literal 1 binary64))
(pow.f64 (/.f64 x t) #s(literal -1 binary64))
(/.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) t))
(/.f64 (/.f64 (neg.f64 t) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) t))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x t))
(/.f64 (neg.f64 t) (neg.f64 x))
(/.f64 (/.f64 t x) #s(literal 1 binary64))
(/.f64 t x)
(neg.f64 (/.f64 (/.f64 (neg.f64 t) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 t) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 t) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 t) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x t)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) z) x)
(*.f64 (*.f64 (neg.f64 x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) (/.f64 x z)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))))
(*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) (/.f64 x z))
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))
(*.f64 x (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) z))
(pow.f64 (/.f64 z (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) (/.f64 (neg.f64 z) x))
(/.f64 (*.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) x) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) x) #s(literal 1 binary64)) z)
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))) z)
(/.f64 (neg.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) (/.f64 (neg.f64 z) x))
(/.f64 (*.f64 (neg.f64 x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) x))))
(/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) x)))
(/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) (/.f64 z x))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))) z))
(neg.f64 (/.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) x) (neg.f64 z)))
(neg.f64 (*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) (/.f64 (neg.f64 x) z)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 x (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))
(*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) #s(literal 1 binary64))
#s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t))
(*.f64 (pow.f64 (*.f64 t #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 t #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) t))
(*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t))
(*.f64 #s(literal -2 binary64) (pow.f64 t #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))
(pow.f64 (*.f64 t #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 t #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/2 binary64)))
(/.f64 #s(literal -2 binary64) t)
(/.f64 #s(literal 2 binary64) (neg.f64 t))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 t #s(literal -1/2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t)))
(neg.f64 (/.f64 #s(literal 2 binary64) t))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) t))
(exp.f64 (*.f64 (log.f64 (*.f64 t #s(literal -1/2 binary64))) #s(literal -1 binary64)))

eval419.0ms (4.7%)

Memory
7.4MiB live, 274.5MiB allocated
Compiler

Compiled 21 033 to 2 483 computations (88.2% saved)

prune252.0ms (2.8%)

Memory
-14.8MiB live, 225.9MiB allocated
Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New1 53531 538
Fresh167
Picked055
Done022
Total1 536161 552
Accuracy
100.0%
Counts
1 552 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)))
87.6%
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
52.3%
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
52.8%
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)
91.6%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z))
47.0%
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) z) x)
92.2%
(*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z))
50.3%
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))
52.5%
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))
52.2%
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
87.0%
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)))
52.8%
(*.f64 #s(approx (/ x (- y t)) (/.f64 x y)) (/.f64 #s(literal 2 binary64) z))
52.8%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))
50.5%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
46.8%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
50.2%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
Compiler

Compiled 208 to 227 computations (-9.1% saved)

simplify299.0ms (3.3%)

Memory
3.8MiB live, 80.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) #s(literal 2 binary64))
cost-diff0
#s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)
cost-diff0
(/.f64 #s(literal 2 binary64) y)
cost-diff0
#s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))
cost-diff0
(/.f64 z x)
cost-diff0
(*.f64 (/.f64 z x) t)
cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))
cost-diff0
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (- (* y z) (* t z)) (*.f64 z y))
cost-diff0
(/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
cost-diff0
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
cost-diff0
(-.f64 y t)
cost-diff0
(/.f64 (-.f64 y t) x)
cost-diff0
(*.f64 (/.f64 (-.f64 y t) x) z)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z))
Rules
2 400×lower-fma.f64
2 400×lower-fma.f32
2 128×lower-*.f32
2 116×lower-*.f64
1 356×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035185
051177
186177
2132177
3192177
4286177
5423177
6719177
71142177
82430177
93942177
105411177
115702177
125788177
135823177
145891177
156258177
166510177
176576177
186592177
196608177
206618177
216622177
226666177
236754177
247134177
257608177
267886177
08004177
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z))
#s(literal 2 binary64)
(*.f64 (/.f64 (-.f64 y t) x) z)
(/.f64 (-.f64 y t) x)
(-.f64 y t)
y
t
x
z
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
(/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
#s(literal 2 binary64)
#s(approx (- (* y z) (* t z)) (*.f64 z y))
(*.f64 z y)
z
y
x
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))
#s(literal -2 binary64)
(*.f64 (/.f64 z x) t)
(/.f64 z x)
z
x
t
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))
(/.f64 x z)
x
z
#s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)
#s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
z
Outputs
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z))
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y)))
#s(literal 2 binary64)
(*.f64 (/.f64 (-.f64 y t) x) z)
(*.f64 (-.f64 y t) (/.f64 z x))
(/.f64 (-.f64 y t) x)
(-.f64 y t)
y
t
x
z
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
(/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
#s(literal 2 binary64)
#s(approx (- (* y z) (* t z)) (*.f64 z y))
(*.f64 z y)
z
y
x
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))
#s(literal -2 binary64)
(*.f64 (/.f64 z x) t)
(/.f64 z x)
z
x
t
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))
(*.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (/.f64 x z))
(/.f64 x z)
x
z
#s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)
#s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
z

localize75.0ms (0.8%)

Memory
28.5MiB live, 102.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x y)
accuracy0
(*.f64 (/.f64 x y) #s(literal 2 binary64))
accuracy4.946335289783523
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)
accuracy29.513569317414053
#s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64)))
accuracy0
(/.f64 x z)
accuracy0
(/.f64 #s(literal 2 binary64) y)
accuracy6.754572050882615
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))
accuracy31.201628264771674
#s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))
accuracy0
(/.f64 z x)
accuracy0.752583360976294
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))
accuracy5.675561503765325
(*.f64 (/.f64 z x) t)
accuracy29.30219871211634
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))
accuracy0
(*.f64 z y)
accuracy0.8825077666884712
(/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
accuracy7.351354814621549
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
accuracy27.334458452801158
#s(approx (- (* y z) (* t z)) (*.f64 z y))
accuracy0
(-.f64 y t)
accuracy0.01171875
(/.f64 (-.f64 y t) x)
accuracy0.8959308348293596
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z))
accuracy4.591821321743366
(*.f64 (/.f64 (-.f64 y t) x) z)
Samples
59.0ms256×0valid
Compiler

Compiled 147 to 32 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 22.0ms (52.8% of total)
ival-mult: 16.0ms (38.4% of total)
ival-sub: 3.0ms (7.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series86.0ms (1%)

Memory
-7.8MiB live, 112.2MiB allocated
Counts
20 → 684
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 y t) x) z) (patch (*.f64 (/.f64 (-.f64 y t) x) z) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y t) x) (patch (/.f64 (-.f64 y t) x) #<representation binary64>) () ())
#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())
#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ())
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) y) (patch (/.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) (patch (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) #<representation binary64>) () ())
#s(alt #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (patch #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) #s(literal 2 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 (-.f64 y t) x) z) (patch (*.f64 (/.f64 (-.f64 y t) x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) x)) (/ (* y z) x)) (taylor 0 t) (#s(alt (*.f64 (/.f64 (-.f64 y t) x) z) (patch (*.f64 (/.f64 (-.f64 y t) x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) x)) (/ (* y z) x)) (taylor 0 t) (#s(alt (*.f64 (/.f64 (-.f64 y t) x) z) (patch (*.f64 (/.f64 (-.f64 y t) x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* t z) x)) (/ (* y z) x)) (taylor 0 t) (#s(alt (*.f64 (/.f64 (-.f64 y t) x) z) (patch (*.f64 (/.f64 (-.f64 y t) x) z) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 t) (#s(alt (/.f64 (-.f64 y t) x) (patch (/.f64 (-.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ t x)) (/ y x)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y t) x) (patch (/.f64 (-.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ t x)) (/ y x)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y t) x) (patch (/.f64 (-.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ t x)) (/ y x)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y t) x) (patch (/.f64 (-.f64 y t) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (* y z)) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 z y)) (patch #s(approx (- (* y z) (* t z)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ 2 y) (taylor 0 t) (#s(alt #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) (patch #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) (patch (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) (patch (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) (patch (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ())
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#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) (patch (*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) (patch (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) (patch (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) (patch (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) (patch (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- y t))) (taylor -inf x) (#s(alt #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (patch #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- y t))) (taylor -inf x) (#s(alt #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (patch #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- y t))) (taylor -inf x) (#s(alt #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (patch #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (- y t))) (taylor -inf x) (#s(alt #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (patch #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 2 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 2 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 2 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(literal 2 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
29.0ms
x
@inf
((/ 2 (* (/ (- y t) x) z)) (* (/ (- y t) x) z) (/ (- y t) x) (- y t) (* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ z x) t)) (* (/ z x) t) (/ z x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 2 y) (/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* (/ x y) 2) (/ x y))
4.0ms
x
@-inf
((/ 2 (* (/ (- y t) x) z)) (* (/ (- y t) x) z) (/ (- y t) x) (- y t) (* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ z x) t)) (* (/ z x) t) (/ z x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 2 y) (/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* (/ x y) 2) (/ x y))
3.0ms
z
@-inf
((/ 2 (* (/ (- y t) x) z)) (* (/ (- y t) x) z) (/ (- y t) x) (- y t) (* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ z x) t)) (* (/ z x) t) (/ z x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 2 y) (/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* (/ x y) 2) (/ x y))
3.0ms
x
@0
((/ 2 (* (/ (- y t) x) z)) (* (/ (- y t) x) z) (/ (- y t) x) (- y t) (* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ z x) t)) (* (/ z x) t) (/ z x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 2 y) (/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* (/ x y) 2) (/ x y))
2.0ms
z
@0
((/ 2 (* (/ (- y t) x) z)) (* (/ (- y t) x) z) (/ (- y t) x) (- y t) (* (/ 2 (- (* y z) (* t z))) x) (/ 2 (- (* y z) (* t z))) (- (* y z) (* t z)) (* z y) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (* (/ z x) t)) (* (/ z x) t) (/ z x) (* (/ x z) (/ 2 (- y t))) (/ x z) (/ 2 (- y t)) (/ 2 y) (/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* (/ x y) 2) (/ x y))

simplify180.0ms (2%)

Memory
-13.0MiB live, 237.3MiB allocated
Algorithm
egg-herbie
Rules
7 848×lower-fma.f64
7 848×lower-fma.f32
6 454×lower-*.f64
6 454×lower-*.f32
2 246×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06287408
119426876
257006816
081806599
Stop Event
iter limit
node limit
Counts
684 → 681
Calls
Call 1
Inputs
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(/ (* y z) x)
(+ (* -1 (/ (* t z) x)) (/ (* y z) x))
(+ (* -1 (/ (* t z) x)) (/ (* y z) x))
(+ (* -1 (/ (* t z) x)) (/ (* y z) x))
(/ y x)
(+ (* -1 (/ t x)) (/ y x))
(+ (* -1 (/ t x)) (/ y x))
(+ (* -1 (/ t x)) (/ y x))
y
(+ y (* -1 t))
(+ y (* -1 t))
(+ y (* -1 t))
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(/ 2 (* y z))
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z))))
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z))))
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z))))
(* y z)
(+ (* -1 (* t z)) (* y z))
(+ (* -1 (* t z)) (* y z))
(+ (* -1 (* t z)) (* y z))
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ (* t z) x)
(/ (* t z) x)
(/ (* t z) x)
(/ (* t z) x)
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(/ 2 y)
(+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y)))
(+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(* 2 (/ x (* y z)))
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z))))))
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z))))))))
(* 2 (/ x y))
(+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2))))
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3))))))
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4))))))))
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(* -1 (/ (* t z) x))
(* t (+ (* -1 (/ z x)) (/ (* y z) (* t x))))
(* t (+ (* -1 (/ z x)) (/ (* y z) (* t x))))
(* t (+ (* -1 (/ z x)) (/ (* y z) (* t x))))
(* -1 (/ t x))
(* t (- (/ y (* t x)) (/ 1 x)))
(* t (- (/ y (* t x)) (/ 1 x)))
(* t (- (/ y (* t x)) (/ 1 x)))
(* -1 t)
(* t (- (/ y t) 1))
(* t (- (/ y t) 1))
(* t (- (/ y t) 1))
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(/ -2 (* t z))
(/ (- (* -2 (/ y (* t z))) (* 2 (/ 1 z))) t)
(/ (- (* -2 (/ (pow y 2) (* (pow t 2) z))) (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z)))) t)
(/ (- (* -2 (/ (pow y 3) (* (pow t 3) z))) (+ (* 2 (/ y (* t z))) (+ (* 2 (/ (pow y 2) (* (pow t 2) z))) (* 2 (/ 1 z))))) t)
(* -1 (* t z))
(* t (- (/ (* y z) t) z))
(* t (- (/ (* y z) t) z))
(* t (- (/ (* y z) t) z))
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ (* t z) x)
(/ (* t z) x)
(/ (* t z) x)
(/ (* t z) x)
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(/ -2 t)
(/ (- (* -2 (/ y t)) 2) t)
(/ (- (* -2 (/ (pow y 2) (pow t 2))) (+ 2 (* 2 (/ y t)))) t)
(/ (- (* -2 (/ (pow y 3) (pow t 3))) (+ 2 (+ (* 2 (/ y t)) (* 2 (/ (pow y 2) (pow t 2)))))) t)
(* -2 (/ x (* t z)))
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t)
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t)
(* -2 (/ x t))
(/ (+ (* -2 x) (* -2 (/ (* x y) t))) t)
(/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (* -2 (/ (* x (pow y 2)) (pow t 2))))) t)
(/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (+ (* -2 (/ (* x (pow y 2)) (pow t 2))) (* -2 (/ (* x (pow y 3)) (pow t 3)))))) t)
(* -2 (/ x (* t z)))
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t))
(* -1 (/ (* t z) x))
(* -1 (* t (+ (* -1 (/ (* y z) (* t x))) (/ z x))))
(* -1 (* t (+ (* -1 (/ (* y z) (* t x))) (/ z x))))
(* -1 (* t (+ (* -1 (/ (* y z) (* t x))) (/ z x))))
(* -1 (/ t x))
(* -1 (* t (+ (* -1 (/ y (* t x))) (/ 1 x))))
(* -1 (* t (+ (* -1 (/ y (* t x))) (/ 1 x))))
(* -1 (* t (+ (* -1 (/ y (* t x))) (/ 1 x))))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ y t)))))
(* -1 (* t (+ 1 (* -1 (/ y t)))))
(* -1 (* t (+ 1 (* -1 (/ y t)))))
(* -2 (/ x (* t z)))
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t))
(/ -2 (* t z))
(* -1 (/ (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z))) t))
(* -1 (/ (+ (* -1 (/ (- (* -2 (/ (pow y 2) (* t z))) (* 2 (/ y z))) t)) (* 2 (/ 1 z))) t))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) (* t z))) (* -2 (/ (pow y 2) z))) t)) (* 2 (/ y z))) t)) (* 2 (/ 1 z))) t))
(* -1 (* t z))
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z))))
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z))))
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z))))
(* -2 (/ x (* t z)))
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ (* t z) x)
(/ (* t z) x)
(/ (* t z) x)
(/ (* t z) x)
(* -2 (/ x (* t z)))
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t))
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y
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(/ (* t z) x)
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(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(/ x y)
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(* 2 (/ x (* z (- y t))))
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(/ (* z (- y t)) x)
(/ (* z (- y t)) x)
(/ (* z (- y t)) x)
(/ (* z (- y t)) x)
(/ (- y t) x)
(/ (- y t) x)
(/ (- y t) x)
(/ (- y t) x)
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
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(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
(* 2 (/ x (- (* y z) (* t z))))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(* -2 (/ x (* t z)))
(/ (* t z) x)
(/ (* t z) x)
(/ (* t z) x)
(/ (* t z) x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (* z (- y t))))
(* 2 (/ x (- y t)))
(* 2 (/ x (- y t)))
(* 2 (/ x (- y t)))
(* 2 (/ x (- y t)))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(* 2 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- y t)))
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))
(* 2 (/ x (- y t)))
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))
(* 2 (/ x (- y t)))
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))
(* 2 (/ x (- y t)))
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))
(* 2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(* 2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(* 2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(* 2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(/ (* z (- y t)) x)
(*.f64 (/.f64 (-.f64 y t) x) z)
(/ (* z (- y t)) x)
(*.f64 (/.f64 (-.f64 y t) x) z)
(/ (* z (- y t)) x)
(*.f64 (/.f64 (-.f64 y t) x) z)
(/ (* z (- y t)) x)
(*.f64 (/.f64 (-.f64 y t) x) z)
(/ (- y t) x)
(/.f64 (-.f64 y t) x)
(/ (- y t) x)
(/.f64 (-.f64 y t) x)
(/ (- y t) x)
(/.f64 (-.f64 y t) x)
(/ (- y t) x)
(/.f64 (-.f64 y t) x)
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- (* y z) (* t z))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(* -2 (/ x (* t z)))
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ (* t z) x)
(/.f64 (*.f64 t z) x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (* z (- y t))))
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64))
(* 2 (/ x (- y t)))
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))
(* 2 (/ x (- y t)))
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))
(* 2 (/ x (- y t)))
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))
(* 2 (/ x (- y t)))
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64))
(* 2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(* 2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(* 2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(* 2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

rewrite205.0ms (2.3%)

Memory
-4.3MiB live, 277.6MiB allocated
Rules
5 566×lower-*.f32
5 554×lower-*.f64
4 360×lower-fma.f64
4 360×lower-fma.f32
4 350×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035164
051156
1180156
21010156
08393156
Stop Event
iter limit
node limit
iter limit
Counts
20 → 852
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z))
(*.f64 (/.f64 (-.f64 y t) x) z)
(/.f64 (-.f64 y t) x)
(-.f64 y t)
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
(/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
#s(approx (- (* y z) (* t z)) (*.f64 z y))
(*.f64 z y)
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))
(*.f64 (/.f64 z x) t)
(/.f64 z x)
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))
(/.f64 x z)
#s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 2 binary64) y)
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)
#s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
Outputs
(*.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z (+.f64 t y))) (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t))) z) (+.f64 t y))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t)))) (+.f64 t y))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 z (+.f64 t y))) (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)))) (*.f64 z (+.f64 t y)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) z)) (/.f64 x (-.f64 y t)))
(*.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal -2 binary64) (*.f64 (+.f64 t y) (-.f64 t y)))) (+.f64 t y))
(*.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 t (+.f64 t y) (*.f64 y y)))
(*.f64 (*.f64 (/.f64 x z) (pow.f64 (-.f64 y t) #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 x (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z)))) (*.f64 z (+.f64 t y)))
(*.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 z #s(literal -2 binary64)) (/.f64 (-.f64 t y) x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z #s(literal -2 binary64)) (/.f64 (-.f64 t y) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (*.f64 (*.f64 (*.f64 z (+.f64 t y)) z) (-.f64 y t))) (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)))
(*.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) (pow.f64 (-.f64 t y) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 y t) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 y t)))
(*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 x (+.f64 t y)) (/.f64 #s(literal 2 binary64) (-.f64 y t))) (*.f64 (+.f64 t y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (+.f64 t y) (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z (+.f64 t y)) z) (-.f64 y t)) #s(literal -1 binary64)) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 x (*.f64 z (+.f64 t y))) (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 x (*.f64 z (+.f64 t y))) (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t))) (*.f64 z (+.f64 t y)))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (/.f64 x (pow.f64 (*.f64 z (+.f64 t y)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 z (+.f64 t y)) (*.f64 (-.f64 t y) z))) (*.f64 (*.f64 z (+.f64 t y)) x))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 x (pow.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (fma.f64 (*.f64 (*.f64 z z) t) (+.f64 t y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) x))
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y)))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) z) (pow.f64 (-.f64 y t) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 y t)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 x (-.f64 y t)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (-.f64 y t) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) z))
(*.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 x (-.f64 y t)))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x z)) (pow.f64 (-.f64 y t) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (-.f64 y t)) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -2 binary64) (-.f64 y t)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 y t))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x)
(*.f64 (*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (-.f64 y t)) (pow.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x (-.f64 y t)) z) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (pow.f64 (-.f64 t y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 2 binary64) (-.f64 y t))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))
(*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (*.f64 (-.f64 y t) z)))
(*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (/.f64 x (-.f64 y t)) z)))
(*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y t) z) #s(literal -1 binary64)))
(*.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) (pow.f64 z #s(literal -1 binary64))))
(*.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (-.f64 y t))))
(*.f64 x (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)))
(*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (pow.f64 (*.f64 (-.f64 t y) z) #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 x (-.f64 y t)) z))
(pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 t y) x)) z) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 z #s(literal -2 binary64)) (/.f64 (-.f64 t y) x)) #s(literal -1 binary64))
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(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 z))))
(neg.f64 (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))))
(*.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64)))
(neg.f64 (neg.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) y) x)
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 x (/.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) (/.f64 x y))
(pow.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 y))
(/.f64 #s(literal -2 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 x #s(literal 2 binary64)) y)
(/.f64 x (*.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 y x))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) y))
(neg.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)))
(neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) y)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))

eval245.0ms (2.7%)

Memory
0.1MiB live, 464.1MiB allocated
Compiler

Compiled 22 645 to 3 294 computations (85.5% saved)

prune207.0ms (2.3%)

Memory
6.4MiB live, 418.4MiB allocated
Pruning

17 alts after pruning (6 fresh and 11 done)

PrunedKeptTotal
New1 53031 533
Fresh134
Picked055
Done167
Total1 532171 549
Accuracy
100.0%
Counts
1 549 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)))
52.3%
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
52.8%
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)
91.6%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z))
52.3%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (/ (- y t) x) (/.f64 y x)) z))
47.0%
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) z) x)
92.2%
(*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z))
50.3%
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))
52.5%
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))
87.0%
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 (-.f64 y t) z))) x)
52.2%
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
52.8%
(*.f64 #s(approx (/ x (- y t)) (/.f64 x y)) (/.f64 #s(literal 2 binary64) z))
52.8%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))
50.5%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
46.8%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
50.2%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
46.2%
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
Compiler

Compiled 386 to 251 computations (35% saved)

regimes89.0ms (1%)

Memory
-14.5MiB live, 101.4MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 (-.f64 y t) z))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 #s(literal -2 binary64) t) z) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))
(*.f64 #s(approx (/ x (- y t)) (/.f64 x y)) (/.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) z) x)
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (/ (- y t) x) (/.f64 y x)) z))
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))
(*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x)
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z))
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 (*.f64 (+.f64 t y) z) x))
Outputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))
Calls

7 calls:

27.0ms
x
19.0ms
t
9.0ms
(-.f64 (*.f64 y z) (*.f64 t z))
8.0ms
(*.f64 x #s(literal 2 binary64))
8.0ms
z
Results
AccuracySegmentsBranch
96.2%2x
93.9%2y
96.6%2z
92.3%1t
98.0%3(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
96.2%2(*.f64 x #s(literal 2 binary64))
98.0%3(-.f64 (*.f64 y z) (*.f64 t z))
Compiler

Compiled 25 to 39 computations (-56% saved)

regimes8.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 (-.f64 y t) z))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 #s(literal -2 binary64) t) z) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))
(*.f64 #s(approx (/ x (- y t)) (/.f64 x y)) (/.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) z) x)
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (/ (- y t) x) (/.f64 y x)) z))
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))
(*.f64 (/.f64 x (-.f64 y t)) (/.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x)
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 y t) x) z))
Outputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
96.6%2z
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes49.0ms (0.5%)

Memory
12.0MiB live, 91.1MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 (-.f64 y t) z))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 #s(literal -2 binary64) t) z) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))
(*.f64 #s(approx (/ x (- y t)) (/.f64 x y)) (/.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)))
(*.f64 (/.f64 x z) #s(approx (/ 2 (- y t)) (/.f64 #s(literal 2 binary64) y)))
(*.f64 (/.f64 #s(approx (/ 2 (- y t)) (/.f64 #s(literal -2 binary64) t)) z) x)
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (/ (- y t) x) (/.f64 y x)) z))
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
Outputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))
Calls

7 calls:

9.0ms
(-.f64 (*.f64 y z) (*.f64 t z))
8.0ms
x
6.0ms
z
6.0ms
t
6.0ms
y
Results
AccuracySegmentsBranch
87.6%1t
87.6%1y
87.6%1x
87.6%1(*.f64 x #s(literal 2 binary64))
87.6%1(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
89.7%2(-.f64 (*.f64 y z) (*.f64 t z))
87.6%1z
Compiler

Compiled 25 to 39 computations (-56% saved)

regimes7.0ms (0.1%)

Memory
-26.3MiB live, 10.0MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 (-.f64 y t) z))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 #s(literal -2 binary64) t) z) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
Outputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z)))
Calls

1 calls:

7.0ms
(-.f64 (*.f64 y z) (*.f64 t z))
Results
AccuracySegmentsBranch
89.3%2(-.f64 (*.f64 y z) (*.f64 t z))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 (-.f64 y t) z))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 #s(literal -2 binary64) t) z) x))
Outputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z)))
Calls

1 calls:

4.0ms
(-.f64 (*.f64 y z) (*.f64 t z))
Results
AccuracySegmentsBranch
89.3%2(-.f64 (*.f64 y z) (*.f64 t z))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes20.0ms (0.2%)

Memory
13.6MiB live, 52.1MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 (-.f64 y t) z))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)))
Outputs
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
Calls

6 calls:

4.0ms
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
3.0ms
(*.f64 x #s(literal 2 binary64))
3.0ms
z
3.0ms
x
3.0ms
(-.f64 (*.f64 y z) (*.f64 t z))
Results
AccuracySegmentsBranch
87.6%1x
87.6%1y
87.6%1z
87.6%1(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
87.6%1(*.f64 x #s(literal 2 binary64))
87.6%1(-.f64 (*.f64 y z) (*.f64 t z))
Compiler

Compiled 24 to 35 computations (-45.8% saved)

regimes20.0ms (0.2%)

Memory
3.1MiB live, 50.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 (-.f64 y t) z))) x)
Outputs
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 (-.f64 y t) z))) x)
Calls

7 calls:

5.0ms
(*.f64 x #s(literal 2 binary64))
3.0ms
x
3.0ms
z
3.0ms
t
2.0ms
(-.f64 (*.f64 y z) (*.f64 t z))
Results
AccuracySegmentsBranch
87.0%1t
87.0%1x
87.0%1y
87.0%1z
87.0%1(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
87.0%1(*.f64 x #s(literal 2 binary64))
87.0%1(-.f64 (*.f64 y z) (*.f64 t z))
Compiler

Compiled 25 to 39 computations (-56% saved)

regimes18.0ms (0.2%)

Memory
-35.6MiB live, 42.1MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
Outputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
Calls

7 calls:

3.0ms
t
3.0ms
x
2.0ms
(*.f64 x #s(literal 2 binary64))
2.0ms
z
2.0ms
(-.f64 (*.f64 y z) (*.f64 t z))
Results
AccuracySegmentsBranch
57.9%3x
55.9%2(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
57.9%3(*.f64 x #s(literal 2 binary64))
57.5%3(-.f64 (*.f64 y z) (*.f64 t z))
72.0%3y
55.3%2z
72.1%3t
Compiler

Compiled 25 to 39 computations (-56% saved)

regimes2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
Outputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x)
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
Calls

1 calls:

2.0ms
t
Results
AccuracySegmentsBranch
72.1%3t
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes12.0ms (0.1%)

Memory
27.1MiB live, 27.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
Outputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
Calls

7 calls:

2.0ms
(*.f64 x #s(literal 2 binary64))
2.0ms
x
2.0ms
t
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
46.8%1z
46.8%1(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
46.8%1(-.f64 (*.f64 y z) (*.f64 t z))
46.8%1x
46.8%1(*.f64 x #s(literal 2 binary64))
46.8%1y
46.8%1t
Compiler

Compiled 25 to 39 computations (-56% saved)

regimes10.0ms (0.1%)

Memory
-15.4MiB live, 23.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
Outputs
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
Calls

7 calls:

2.0ms
y
1.0ms
(*.f64 x #s(literal 2 binary64))
1.0ms
z
1.0ms
x
1.0ms
t
Results
AccuracySegmentsBranch
46.2%1(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z)))
46.2%1(-.f64 (*.f64 y z) (*.f64 t z))
46.2%1x
46.2%1(*.f64 x #s(literal 2 binary64))
46.2%1y
46.2%1t
46.2%1z
Compiler

Compiled 25 to 39 computations (-56% saved)

bsearch9.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
4.234690049786337e+101
1.0765816245502721e+102
Samples
4.0ms80×0valid
Compiler

Compiled 104 to 117 computations (-12.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (79.8% of total)
ival-div: 1.0ms (39.9% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
-12.9MiB live, 27.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
2.532717969616843e+48
1.5339970796062793e+52
Samples
7.0ms128×0valid
Compiler

Compiled 158 to 177 computations (-12% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (51.2% of total)
ival-sub: 1.0ms (25.6% of total)
ival-div: 1.0ms (25.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.000912876085152e+273
2.1146973987900845e+273
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.6985264431265432e+303
2.5625329733622708e+304
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7205684294687527e+308
+inf
Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch41.0ms (0.5%)

Memory
-2.3MiB live, 36.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
454606290829928.75
35768983501500297000.0
25.0ms
-5.492185124638478e+36
-5.4567859946006345e+34
Samples
14.0ms256×0valid
Compiler

Compiled 270 to 337 computations (-24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (64.6% of total)
ival-div: 2.0ms (25.8% of total)
ival-sub: 1.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
454606290829928.75
35768983501500297000.0
1.0ms
-5.492185124638478e+36
-5.4567859946006345e+34
Compiler

Compiled 270 to 337 computations (-24.8% saved)

simplify44.0ms (0.5%)

Memory
-0.9MiB live, 38.2MiB allocated
Algorithm
egg-herbie
Rules
32×*-commutative-binary64-*.f64
10×+-commutative-binary64-+.f64
10×sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074344
193344
2106344
3112344
4116344
5117344
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 z #s(literal 530000000000000006485863395947027493903660947065581007016003521508495933673217786484209624045202702336 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))))
(if (<=.f64 z #s(literal 229999999999999996779283200372029593456434116296704 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))))
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 2100000000000000017477213749807341305108226179069350343265450602105271503441148927983484044021896147137401830342932051485629246952207380539882133219826542550477812741336759194305630374648337146778831403108517027469122654730777606053929395125881258820263533269916820325793792 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))))
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))))
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal +inf.0 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 (-.f64 y t) z))) x)
(if (<=.f64 t #s(literal -309999999999999986587086119803813888 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (if (<=.f64 t #s(literal 470000000000000 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))))
(if (<=.f64 t #s(literal -309999999999999986587086119803813888 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (if (<=.f64 t #s(literal 470000000000000 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
Outputs
(if (<=.f64 z #s(literal 530000000000000006485863395947027493903660947065581007016003521508495933673217786484209624045202702336 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))))
(if (<=.f64 z #s(literal 530000000000000006485863395947027493903660947065581007016003521508495933673217786484209624045202702336 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) (/.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 y t))))
(if (<=.f64 z #s(literal 229999999999999996779283200372029593456434116296704 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))))
(if (<=.f64 z #s(literal 229999999999999996779283200372029593456434116296704 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) (/.f64 x z)))
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 2100000000000000017477213749807341305108226179069350343265450602105271503441148927983484044021896147137401830342932051485629246952207380539882133219826542550477812741336759194305630374648337146778831403108517027469122654730777606053929395125881258820263533269916820325793792 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))))
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 2100000000000000017477213749807341305108226179069350343265450602105271503441148927983484044021896147137401830342932051485629246952207380539882133219826542550477812741336759194305630374648337146778831403108517027469122654730777606053929395125881258820263533269916820325793792 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))))
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))))
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 4999999999999999696267762527682310930020143610058662476595385785661602281506616951421654628720253874218428059028081086289358596871318015265117899420433441387493650720841005520533855126581220452921859901274275799538319841275410916329774556134803974902673017459331286203203802190422979931037452174069071872 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 t x) z))))
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal +inf.0 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x t) (/.f64 #s(literal -2 binary64) z))))
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal +inf.0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x t))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z))
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z))
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 (-.f64 y t) z))) x)
(if (<=.f64 t #s(literal -309999999999999986587086119803813888 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (if (<=.f64 t #s(literal 470000000000000 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))))
(if (<=.f64 t #s(literal -309999999999999986587086119803813888 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (if (<=.f64 t #s(literal 470000000000000 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 y z))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 t z)) x))))
(if (<=.f64 t #s(literal -309999999999999986587086119803813888 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (if (<=.f64 t #s(literal 470000000000000 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 z y))) x) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))))
(if (<=.f64 t #s(literal -309999999999999986587086119803813888 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (if (<=.f64 t #s(literal 470000000000000 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* y z) (* t z)) (*.f64 y z))) x) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 t z)) x))))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x))
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 t z)) x))

soundness1.1s (12%)

Memory
16.7MiB live, 762.7MiB allocated
Rules
9 616×lower-fma.f64
9 616×lower-fma.f32
7 848×lower-fma.f64
7 848×lower-fma.f32
6 454×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033146
049138
1168138
21028138
08487138
01901157
16211109
220901067
354491063
084631032
028104
043102
1159102
2971102
08486102
06287408
119426876
257006816
081806599
01027
01523
14823
233023
3346923
0822723
035164
051156
1180156
21010156
08393156
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 581 to 382 computations (34.3% saved)

preprocess171.0ms (1.9%)

Memory
22.4MiB live, 248.1MiB allocated
Remove

(negabs x)

Compiler

Compiled 976 to 488 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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