Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, H

Time bar (total: 10.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze143.0ms (1.4%)

Memory
15.6MiB live, 247.8MiB 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
25%25%74.9%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
37.5%37.4%62.4%0.2%0%0%0%7
56.3%56.1%43.7%0.2%0%0%0%8
56.3%56.1%43.7%0.2%0%0%0%9
56.3%56.1%43.7%0.2%0%0%0%10
65.6%65.5%34.3%0.2%0%0%0%11
76.6%76.4%23.4%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.3s (12.9%)

Memory
11.4MiB live, 1 980.4MiB allocated
Samples
971.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 640.0ms
ival-div: 296.0ms (46.2% of total)
ival-mult: 185.0ms (28.9% of total)
ival-add: 73.0ms (11.4% of total)
ival-sub: 70.0ms (10.9% of total)
ival-true: 7.0ms (1.1% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain141.0ms (1.4%)

Memory
8.9MiB live, 248.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
250-7(-1967142348.147666 2.0503348847393553e-287 3.052843028510326e-36 -1.0637943355765275e-38)(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))
10-0-(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
00-0-(/.f64 y (*.f64 z #s(literal 3 binary64)))
00-0-(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))
00-0-#s(literal 3 binary64)
00-0-t
00-0-z
00-0-(*.f64 z #s(literal 3 binary64))
00-0-(*.f64 (*.f64 z #s(literal 3 binary64)) y)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))n/u90
(*.f64 (*.f64 z #s(literal 3 binary64)) y)underflow30
/.f64(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))n/o20
(*.f64 (*.f64 z #s(literal 3 binary64)) y)overflow35
+.f64(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))nan-rescue10
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))overflow37
(/.f64 y (*.f64 z #s(literal 3 binary64)))overflow37
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))overflow43
(*.f64 (*.f64 z #s(literal 3 binary64)) y)overflow35
Confusion
Predicted +Predicted -
+124
-0240
Precision
1.0
Recall
0.75
Confusion?
Predicted +Predicted MaybePredicted -
+1204
-00240
Precision?
1.0
Recall?
0.75
Freqs
test
numberfreq
0244
112
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms512×0valid
Compiler

Compiled 113 to 37 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 11.0ms (45.8% of total)
ival-div: 7.0ms (29.1% of total)
ival-sub: 2.0ms (8.3% of total)
ival-add: 2.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess220.0ms (2.1%)

Memory
21.5MiB live, 138.3MiB allocated
Algorithm
egg-herbie
Rules
2 112×lower-fma.f64
2 112×lower-fma.f32
1 152×lower-*.f32
1 148×lower-*.f64
1 100×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064222
1209210
2609210
31702174
44679168
57740168
01115
01715
13015
26915
313915
432715
573613
6205211
7275011
8307811
9332911
10350911
11352511
12358611
13370211
14375211
15376411
16376411
17376411
18376411
0376410
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
Outputs
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify178.0ms (1.7%)

Memory
-7.0MiB live, 75.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z #s(literal 3 binary64))
cost-diff0
(/.f64 y (*.f64 z #s(literal 3 binary64)))
cost-diff128
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))
cost-diff640
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
Rules
2 112×lower-fma.f64
2 112×lower-fma.f32
1 152×lower-*.f32
1 148×lower-*.f64
722×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
01747
13047
26947
313947
432747
573645
6205243
7275043
8307843
9332943
10350943
11352543
12358643
13370243
14375243
15376443
16376443
17376443
18376443
0376441
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))
x
(/.f64 y (*.f64 z #s(literal 3 binary64)))
y
(*.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))
t
(*.f64 (*.f64 z #s(literal 3 binary64)) y)
Outputs
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x)
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y x)
x
(/.f64 y (*.f64 z #s(literal 3 binary64)))
(/.f64 y (*.f64 #s(literal 3 binary64) z))
y
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
z
#s(literal 3 binary64)
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))
(/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))
t
(*.f64 (*.f64 z #s(literal 3 binary64)) y)
(*.f64 (*.f64 #s(literal 3 binary64) z) y)

localize279.0ms (2.7%)

Memory
-15.7MiB live, 22.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.14453125
(*.f64 (*.f64 z #s(literal 3 binary64)) y)
accuracy0.23828125
(/.f64 y (*.f64 z #s(literal 3 binary64)))
accuracy0.2539041858302058
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
accuracy4.7311181635851165
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))
Samples
19.0ms256×0valid
Compiler

Compiled 49 to 13 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (41.9% of total)
ival-mult: 3.0ms (31.4% of total)
ival-sub: 1.0ms (10.5% of total)
ival-add: 1.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series46.0ms (0.4%)

Memory
-0.4MiB live, 36.5MiB allocated
Counts
6 → 180
Calls
Call 1
Inputs
#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())
Outputs
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) (taylor 0 z) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) (taylor 0 z) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) (taylor 0 z) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) (taylor 0 z) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ y z)) (taylor 0 z) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x z) (* 1/3 y)) z) (taylor 0 z) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x z) (* 1/3 y)) z) (taylor 0 z) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x z) (* 1/3 y)) z) (taylor 0 z) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ y z)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ y z)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ y z)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (/ y z)) (taylor inf y) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ y z)) (taylor inf y) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
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#s(alt (* 3 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ y z)) (taylor -inf y) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/3 (/ y z)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ y z)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ y z)) (taylor -inf y) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ y z)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
3.0ms
y
@0
((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y))
3.0ms
z
@0
((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y))
2.0ms
z
@-inf
((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y))
2.0ms
t
@inf
((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y))
2.0ms
y
@inf
((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y))

simplify178.0ms (1.7%)

Memory
-12.6MiB live, 239.8MiB allocated
Algorithm
egg-herbie
Rules
10 462×lower-fma.f64
10 462×lower-fma.f32
3 274×lower-*.f64
3 274×lower-*.f32
2 252×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021348
13071262
28761262
327991262
463521262
082131196
Stop Event
iter limit
node limit
Counts
180 → 171
Calls
Call 1
Inputs
(- x (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(* -1/3 (/ y z))
(/ (- (* x z) (* 1/3 y)) z)
(/ (- (* x z) (* 1/3 y)) z)
(/ (- (* x z) (* 1/3 y)) z)
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
x
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
x
(+ x (* -1/3 (/ y z)))
(+ x (* -1/3 (/ y z)))
(+ x (* -1/3 (/ y z)))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
x
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
x
(+ x (* -1/3 (/ y z)))
(+ x (* -1/3 (/ y z)))
(+ x (* -1/3 (/ y z)))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
(* 1/3 (/ t (* y z)))
(/ (+ (* 1/3 (/ t z)) (* x y)) y)
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)
x
(+ x (* -1/3 (/ y z)))
(+ x (* -1/3 (/ y z)))
(+ x (* -1/3 (/ y z)))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
(* -1/3 (/ y z))
(* y (- (/ x y) (* 1/3 (/ 1 z))))
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(* -1/3 (/ y z))
(* y (- (/ x y) (* 1/3 (/ 1 z))))
(* y (- (/ x y) (* 1/3 (/ 1 z))))
(* y (- (/ x y) (* 1/3 (/ 1 z))))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
(* -1/3 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* -1/3 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* -1/3 (/ y z))
(- x (* 1/3 (/ y z)))
(- x (* 1/3 (/ y z)))
(- x (* 1/3 (/ y z)))
x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
x
(* x (+ 1 (* -1/3 (/ y (* x z)))))
(* x (+ 1 (* -1/3 (/ y (* x z)))))
(* x (+ 1 (* -1/3 (/ y (* x z)))))
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
x
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
Outputs
(- x (* 1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t) (/.f64 #s(literal -1/3 binary64) (*.f64 z y))) t)
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t) (/.f64 #s(literal -1/3 binary64) (*.f64 z y))) t)
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t) (/.f64 #s(literal -1/3 binary64) (*.f64 z y))) t)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t) (/.f64 #s(literal -1/3 binary64) (*.f64 z y))) t)
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t) (/.f64 #s(literal -1/3 binary64) (*.f64 z y))) t)
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t) (/.f64 #s(literal -1/3 binary64) (*.f64 z y))) t)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z)
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1/3 (/ y z))
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
(/ (- (* x z) (* 1/3 y)) z)
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(/ (- (* x z) (* 1/3 y)) z)
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(/ (- (* x z) (* 1/3 y)) z)
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
x
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
x
(+ x (* -1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(+ x (* -1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(+ x (* -1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
x
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
x
(+ x (* -1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(+ x (* -1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(+ x (* -1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
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(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 3 z)
(*.f64 #s(literal 3 binary64) z)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(/ (+ (* 1/3 (/ t z)) (* x y)) y)
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) y)) y)
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) y)) y)
x
(+ x (* -1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(+ x (* -1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(+ x (* -1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
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(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
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(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
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(*.f64 (*.f64 #s(literal 3 binary64) z) y)
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
(* 3 (* y z))
(*.f64 (*.f64 #s(literal 3 binary64) z) y)
(* -1/3 (/ y z))
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
(* y (- (/ x y) (* 1/3 (/ 1 z))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1/3 (/ y z))
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(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
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(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
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(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
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x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
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x
(* x (+ 1 (* -1/3 (/ y (* x z)))))
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x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
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(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)
x
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)

rewrite261.0ms (2.5%)

Memory
45.2MiB live, 263.9MiB allocated
Rules
10 320×lower-fma.f64
10 320×lower-fma.f32
6 744×lower-*.f32
6 740×lower-*.f64
4 744×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142
01742
16942
286138
0931837
Stop Event
iter limit
node limit
iter limit
Counts
6 → 350
Calls
Call 1
Inputs
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64))))
(/.f64 y (*.f64 z #s(literal 3 binary64)))
(*.f64 z #s(literal 3 binary64))
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))
(*.f64 (*.f64 z #s(literal 3 binary64)) y)
Outputs
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eval92.0ms (0.9%)

Memory
-6.4MiB live, 155.6MiB allocated
Compiler

Compiled 13 304 to 1 076 computations (91.9% saved)

prune25.0ms (0.2%)

Memory
-14.2MiB live, 65.5MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New53513548
Fresh000
Picked101
Done000
Total53613549
Accuracy
100.0%
Counts
549 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.4%
(fma.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
95.2%
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))))
96.1%
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
94.8%
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
94.4%
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)))
94.7%
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z y) #s(literal 3 binary64))))
72.1%
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
95.4%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
64.5%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
55.5%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
72.6%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
35.2%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
40.6%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
Compiler

Compiled 300 to 276 computations (8% saved)

simplify200.0ms (2%)

Memory
14.3MiB live, 87.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 1/3 binary64))
cost-diff0
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z)
cost-diff128
(-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))
cost-diff640
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
cost-diff0
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
cost-diff0
#s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
cost-diff0
(-.f64 y (/.f64 t y))
cost-diff0
(/.f64 (-.f64 y (/.f64 t y)) z)
cost-diff0
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
cost-diff0
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
cost-diff0
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
cost-diff0
(/.f64 t y)
cost-diff0
(-.f64 y (/.f64 t y))
cost-diff0
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))
cost-diff128
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
Rules
2 288×lower-fma.f64
2 288×lower-fma.f32
1 184×lower-*.f32
1 172×lower-*.f64
592×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033234
051230
192222
2181222
3343222
4774222
51895222
63712222
74137222
84307222
94368222
104375222
114375222
124423222
134423222
144423222
154459222
164627222
174627222
04627214
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
x
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))
(-.f64 y (/.f64 t y))
y
(/.f64 t y)
t
(*.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
z
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
#s(literal -1/3 binary64)
(/.f64 y z)
y
z
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(/.f64 (-.f64 y (/.f64 t y)) z)
(-.f64 y (/.f64 t y))
y
(/.f64 t y)
t
z
#s(literal -1/3 binary64)
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
#s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
#s(literal -1/3 binary64)
(/.f64 y z)
y
z
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))
t
(*.f64 (*.f64 z #s(literal 3 binary64)) y)
(*.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))
x
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z)
(*.f64 y #s(literal 1/3 binary64))
y
#s(literal 1/3 binary64)
z
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))
t
(*.f64 (*.f64 z #s(literal 3 binary64)) y)
(*.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x)
x
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))
(*.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal -1/3 binary64) z))
(-.f64 y (/.f64 t y))
y
(/.f64 t y)
t
(*.f64 #s(literal 3 binary64) z)
(*.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
z
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
(*.f64 (/.f64 y z) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(/.f64 y z)
y
z
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(/.f64 (-.f64 y (/.f64 t y)) z)
(-.f64 y (/.f64 t y))
y
(/.f64 t y)
t
z
#s(literal -1/3 binary64)
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(fma.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) z) t #s(approx (- x (/ y (* z 3))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64))))
#s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (- x (/ y (* z 3))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
(*.f64 (/.f64 y z) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(/.f64 y z)
y
z
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))
t
(*.f64 (*.f64 z #s(literal 3 binary64)) y)
(*.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x)
(-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y x)
x
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z)
(*.f64 (/.f64 #s(literal 1/3 binary64) z) y)
(*.f64 y #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) y)
y
#s(literal 1/3 binary64)
z
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))
t
(*.f64 (*.f64 z #s(literal 3 binary64)) y)
(*.f64 z #s(literal 3 binary64))
#s(literal 3 binary64)

localize182.0ms (1.8%)

Memory
-8.6MiB live, 243.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.14453125
(*.f64 (*.f64 z #s(literal 3 binary64)) y)
accuracy0.2539041858302058
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
accuracy0.35546875
(*.f64 y #s(literal 1/3 binary64))
accuracy4.7311181635851165
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))
accuracy0.2539041858302058
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
accuracy0.44425771870105574
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
accuracy4.7311181635851165
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))
accuracy27.391950629702727
#s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
accuracy0
(-.f64 y (/.f64 t y))
accuracy0.644657183653784
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
accuracy2.4348635545108794
(/.f64 (-.f64 y (/.f64 t y)) z)
accuracy15.304599775112626
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
accuracy0
(/.f64 y z)
accuracy0.44425771870105574
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
accuracy37.76513460867103
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
accuracy0
(-.f64 y (/.f64 t y))
accuracy0
(*.f64 #s(literal 3 binary64) z)
accuracy0.0078125
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
accuracy2.586028056594298
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))
Samples
160.0ms256×0valid
Compiler

Compiled 208 to 28 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-sub: 55.0ms (58.5% of total)
ival-div: 12.0ms (12.8% of total)
ival-mult: 12.0ms (12.8% of total)
const: 12.0ms (12.8% of total)
ival-add: 2.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.6%)

Memory
10.6MiB live, 165.0MiB allocated
Counts
19 → 624
Calls
Call 1
Inputs
#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) #<representation binary64>) () ())
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Outputs
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#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (patch (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (patch (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (patch (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (patch (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (patch (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (patch (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (patch (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (patch (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@0
((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- x (/ y (* z 3))) (/ t (* (* z 3) y)) (+ (- x (/ (* y 1/3) z)) (/ t (* (* z 3) y))) (- x (/ (* y 1/3) z)) (/ (* y 1/3) z) (* y 1/3) (* 3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (* z 3) y))
5.0ms
z
@inf
((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- x (/ y (* z 3))) (/ t (* (* z 3) y)) (+ (- x (/ (* y 1/3) z)) (/ t (* (* z 3) y))) (- x (/ (* y 1/3) z)) (/ (* y 1/3) z) (* y 1/3) (* 3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (* z 3) y))
4.0ms
t
@-inf
((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- x (/ y (* z 3))) (/ t (* (* z 3) y)) (+ (- x (/ (* y 1/3) z)) (/ t (* (* z 3) y))) (- x (/ (* y 1/3) z)) (/ (* y 1/3) z) (* y 1/3) (* 3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (* z 3) y))
4.0ms
z
@-inf
((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- x (/ y (* z 3))) (/ t (* (* z 3) y)) (+ (- x (/ (* y 1/3) z)) (/ t (* (* z 3) y))) (- x (/ (* y 1/3) z)) (/ (* y 1/3) z) (* y 1/3) (* 3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (* z 3) y))
3.0ms
y
@-inf
((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- x (/ y (* z 3))) (/ t (* (* z 3) y)) (+ (- x (/ (* y 1/3) z)) (/ t (* (* z 3) y))) (- x (/ (* y 1/3) z)) (/ (* y 1/3) z) (* y 1/3) (* 3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (* z 3) y))

simplify236.0ms (2.3%)

Memory
-24.8MiB live, 342.4MiB allocated
Algorithm
egg-herbie
Rules
13 512×lower-fma.f64
13 512×lower-fma.f32
4 304×lower-*.f64
4 304×lower-*.f32
1 962×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01845274
15634678
217114662
354654602
087834360
Stop Event
iter limit
node limit
Counts
624 → 591
Calls
Call 1
Inputs
(- x (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* 1/3 (/ y z))
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z)))
y
(+ y (* -1 (/ t y)))
(+ y (* -1 (/ t y)))
(+ y (* -1 (/ t y)))
(/ t y)
(/ t y)
(/ t y)
(/ t y)
(- x (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- x (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
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(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 (/ y z))
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* 1/3 y)
(* -1/3 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
(* 3 (* y z))
(* -1/3 (/ (- y (/ t y)) z))
(- x (* 1/3 (/ (- y (/ t y)) z)))
(- x (* 1/3 (/ (- y (/ t y)) z)))
(- x (* 1/3 (/ (- y (/ t y)) z)))
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* -1/3 (/ y z))
(- x (* 1/3 (/ y z)))
(- x (* 1/3 (/ y z)))
(- x (* 1/3 (/ y z)))
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* -1/3 (/ y z))
(- x (* 1/3 (/ y z)))
(- x (* 1/3 (/ y z)))
(- x (* 1/3 (/ y z)))
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
x
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z)))))
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z)))))
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z)))))
x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
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x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
x
(* x (+ 1 (* -1/3 (/ y (* x z)))))
(* x (+ 1 (* -1/3 (/ y (* x z)))))
(* x (+ 1 (* -1/3 (/ y (* x z)))))
x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
x
(* x (+ 1 (* -1/3 (/ y (* x z)))))
(* x (+ 1 (* -1/3 (/ y (* x z)))))
(* x (+ 1 (* -1/3 (/ y (* x z)))))
x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
x
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
x
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
x
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
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(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
Outputs
(- x (* 1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* 1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal 1/3 binary64))
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64))
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64))
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64))
y
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(+ y (* -1 (/ t y)))
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(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(- x (* 1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- x (* 1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1/3 (/ y z))
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(/ y z)
(/.f64 y z)
(+ (* -1 (/ t (* y z))) (/ y z))
(/.f64 (-.f64 y (/.f64 t y)) z)
(+ (* -1 (/ t (* y z))) (/ y z))
(/.f64 (-.f64 y (/.f64 t y)) z)
(+ (* -1 (/ t (* y z))) (/ y z))
(/.f64 (-.f64 y (/.f64 t y)) z)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(- x (* 1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- x (* 1/3 (/ y z)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* -1/3 (/ t (* y z)))
(*.f64 #s(literal -1/3 binary64) (/.f64 t (*.f64 z y)))
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64))
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64))
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64))
(* -1 (/ t y))
(/.f64 (neg.f64 t) y)
(* t (- (/ y t) (/ 1 y)))
(-.f64 y (/.f64 t y))
(* t (- (/ y t) (/ 1 y)))
(-.f64 y (/.f64 t y))
(* t (- (/ y t) (/ 1 y)))
(-.f64 y (/.f64 t y))
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* -1 (/ t (* y z)))
(/.f64 (neg.f64 t) (*.f64 z y))
(* t (- (/ y (* t z)) (/ 1 (* y z))))
(/.f64 (-.f64 y (/.f64 t y)) z)
(* t (- (/ y (* t z)) (/ 1 (* y z))))
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(/.f64 (-.f64 y (/.f64 t y)) z)
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(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
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(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t)))
(* -1/3 (/ t (* y z)))
(*.f64 #s(literal -1/3 binary64) (/.f64 t (*.f64 z y)))
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64))
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64))
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(-.f64 y (/.f64 t y))
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(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))
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(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
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(- x (* 1/3 (/ (- y (/ t y)) z)))
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(- x (* 1/3 (/ (- y (/ t y)) z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
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(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
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(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
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(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
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(* -1/3 (/ y z))
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
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(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
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(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
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(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
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(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
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(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
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(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
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x
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
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(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)

rewrite185.0ms (1.8%)

Memory
33.4MiB live, 349.1MiB allocated
Rules
6 656×lower-fma.f64
6 656×lower-fma.f32
4 640×lower-/.f32
4 628×lower-/.f64
3 718×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033177
051173
1213165
22437165
08461157
Stop Event
iter limit
node limit
iter limit
Counts
19 → 962
Calls
Call 1
Inputs
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))
(-.f64 y (/.f64 t y))
(/.f64 t y)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
(*.f64 #s(literal -1/3 binary64) (/.f64 y z))
(/.f64 y z)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(/.f64 (-.f64 y (/.f64 t y)) z)
#s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z)
(*.f64 y #s(literal 1/3 binary64))
(*.f64 #s(literal 3 binary64) z)
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(*.f64 (*.f64 z #s(literal 3 binary64)) y)
Outputs
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eval351.0ms (3.4%)

Memory
-19.5MiB live, 535.6MiB allocated
Compiler

Compiled 36 961 to 3 019 computations (91.8% saved)

prune141.0ms (1.4%)

Memory
4.7MiB live, 121.3MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 889141 903
Fresh718
Picked325
Done000
Total1 899171 916
Accuracy
100.0%
Counts
1 916 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
95.5%
(-.f64 x (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 3 binary64)))
57.5%
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z)))
72.1%
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
56.9%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
64.5%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
35.2%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
55.5%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
73.3%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
73.3%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z))
40.9%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
40.9%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
35.1%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
73.2%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))))
73.3%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)))
40.9%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
40.6%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
Compiler

Compiled 296 to 309 computations (-4.4% saved)

simplify247.0ms (2.4%)

Memory
-4.6MiB live, 78.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 t y)
cost-diff0
(-.f64 y (/.f64 t y))
cost-diff0
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))
cost-diff0
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
cost-diff0
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y))
cost-diff0
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z)
cost-diff0
(*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))
cost-diff0
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
cost-diff0
(/.f64 #s(literal 1/3 binary64) z)
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
cost-diff128
(*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))
cost-diff0
(*.f64 #s(literal -3 binary64) z)
cost-diff0
(/.f64 y (*.f64 #s(literal -3 binary64) z))
cost-diff0
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
cost-diff0
(/.f64 #s(literal -1/3 binary64) z)
cost-diff0
(/.f64 t y)
cost-diff0
(-.f64 y (/.f64 t y))
cost-diff0
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
Rules
2 256×lower-fma.f32
2 254×lower-fma.f64
1 296×lower-*.f32
1 290×lower-*.f64
664×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035219
050217
191217
2174201
3363197
4939197
52711197
63953197
74301197
84392197
94436197
104456197
114557197
124857197
135037197
145045197
155045197
165081197
175239197
185239197
05239197
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
(-.f64 y (/.f64 t y))
y
(/.f64 t y)
t
(/.f64 #s(literal -1/3 binary64) z)
#s(literal -1/3 binary64)
z
x
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
(/.f64 y (*.f64 #s(literal -3 binary64) z))
y
(*.f64 #s(literal -3 binary64) z)
#s(literal -3 binary64)
z
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))
(neg.f64 y)
y
(/.f64 #s(literal 1/3 binary64) z)
#s(literal 1/3 binary64)
z
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z)
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y))
(/.f64 (neg.f64 t) y)
(neg.f64 t)
t
y
z
#s(literal -1/3 binary64)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))
(-.f64 y (/.f64 t y))
y
(/.f64 t y)
t
(*.f64 #s(literal -3 binary64) z)
#s(literal -3 binary64)
z
Outputs
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) (-.f64 y (/.f64 t y)) x)
(-.f64 y (/.f64 t y))
y
(/.f64 t y)
t
(/.f64 #s(literal -1/3 binary64) z)
#s(literal -1/3 binary64)
z
x
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
(/.f64 y (*.f64 #s(literal -3 binary64) z))
(*.f64 (/.f64 #s(literal -1/3 binary64) z) y)
y
(*.f64 #s(literal -3 binary64) z)
#s(literal -3 binary64)
z
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))
(*.f64 (/.f64 #s(literal -1/3 binary64) z) y)
(neg.f64 y)
y
(/.f64 #s(literal 1/3 binary64) z)
#s(literal 1/3 binary64)
z
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z)))
(*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))
(*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z))
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z)
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y))
(/.f64 (neg.f64 t) y)
(neg.f64 t)
t
y
z
#s(literal -1/3 binary64)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z))
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z)
(-.f64 y (/.f64 t y))
y
(/.f64 t y)
t
(*.f64 #s(literal -3 binary64) z)
#s(literal -3 binary64)
z

localize197.0ms (1.9%)

Memory
-16.3MiB live, 112.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y (/.f64 t y))
accuracy0
(*.f64 #s(literal -3 binary64) z)
accuracy2.586028056594298
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))
accuracy15.304599775112626
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
accuracy0.644657183653784
(*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))
accuracy2.4348635545108794
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z)
accuracy15.304599775112626
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
accuracy32.80226287192864
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y))
accuracy0
(neg.f64 y)
accuracy0.234375
(*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))
accuracy0.3828125
(/.f64 #s(literal 1/3 binary64) z)
accuracy37.76513460867103
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
accuracy0
(*.f64 #s(literal -3 binary64) z)
accuracy0.23828125
(/.f64 y (*.f64 #s(literal -3 binary64) z))
accuracy37.76513460867103
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
accuracy0
(/.f64 t y)
accuracy0
(-.f64 y (/.f64 t y))
accuracy0.3828125
(/.f64 #s(literal -1/3 binary64) z)
accuracy2.533430190196296
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
Samples
137.0ms256×0valid
Compiler

Compiled 169 to 31 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-div: 53.0ms (69.7% of total)
ival-mult: 9.0ms (11.8% of total)
const: 7.0ms (9.2% of total)
ival-add: 2.0ms (2.6% of total)
ival-sub: 2.0ms (2.6% of total)
ival-neg: 2.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory
37.4MiB live, 37.4MiB allocated
Counts
17 → 516
Calls
Call 1
Inputs
#s(alt (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (patch (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) #<representation binary64>) () ())
#s(alt (-.f64 y (/.f64 t y)) (patch (-.f64 y (/.f64 t y)) #<representation binary64>) () ())
#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/3 binary64) z) (patch (/.f64 #s(literal -1/3 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 #s(literal -3 binary64) z)) (patch (/.f64 y (*.f64 #s(literal -3 binary64) z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3 binary64) z) (patch (*.f64 #s(literal -3 binary64) z) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)) (patch (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) z) (patch (/.f64 #s(literal 1/3 binary64) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) (patch (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #<representation binary64>) () ())
#s(alt #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (patch #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (* -1/3 (/ y z))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (patch (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (patch (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (patch (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) (taylor 0 t) (#s(alt (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (patch (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 t) (#s(alt (-.f64 y (/.f64 t y)) (patch (-.f64 y (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ t y))) (taylor 0 t) (#s(alt (-.f64 y (/.f64 t y)) (patch (-.f64 y (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ t y))) (taylor 0 t) (#s(alt (-.f64 y (/.f64 t y)) (patch (-.f64 y (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ t y))) (taylor 0 t) (#s(alt (-.f64 y (/.f64 t y)) (patch (-.f64 y (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ())
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ y z)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) (patch (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ t (* y z))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) (patch (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ t (* y z))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) (patch (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ t (* y z))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) (patch (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 t) (#s(alt #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (patch #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ t y))) (taylor 0 t) (#s(alt #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (patch #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ t y))) (taylor 0 t) (#s(alt #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (patch #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (/ t y))) (taylor 0 t) (#s(alt #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (patch #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ y z)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (patch (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) #<representation binary64>) () ())) ())
#s(alt (* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) (taylor inf t) (#s(alt (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (patch (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) #<representation binary64>) () ())) ())
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#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- y (/ t y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)))
2.0ms
z
@0
((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- y (/ t y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)))
2.0ms
z
@inf
((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- y (/ t y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)))
2.0ms
t
@-inf
((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- y (/ t y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)))
1.0ms
y
@-inf
((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- y (/ t y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)))

simplify317.0ms (3.1%)

Memory
-1.4MiB live, 218.7MiB allocated
Algorithm
egg-herbie
Rules
10 474×lower-fma.f64
10 474×lower-fma.f32
4 458×lower-*.f64
4 458×lower-*.f32
2 210×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01724553
15164061
215234061
348044001
084523800
Stop Event
iter limit
node limit
Counts
516 → 490
Calls
Call 1
Inputs
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y
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y
(* -1 (* y (- (/ t (pow y 2)) 1)))
(* -1 (* y (- (/ t (pow y 2)) 1)))
(* -1 (* y (- (/ t (pow y 2)) 1)))
(* -1/3 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* -1/3 (/ y z))
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))
(* -1/3 (/ (- y (/ t y)) z))
(+ x (* -1/3 (/ (- y (/ t y)) z)))
(+ x (* -1/3 (/ (- y (/ t y)) z)))
(+ x (* -1/3 (/ (- y (/ t y)) z)))
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
x
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z)))))
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z)))))
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z)))))
x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
x
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
Outputs
(+ x (* -1/3 (/ y z)))
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
y
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(- x (* 1/3 (/ y z)))
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- x (* 1/3 (/ y z)))
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- x (* 1/3 (/ y z)))
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(/ y z)
(/.f64 y z)
(+ (* -1 (/ t (* y z))) (/ y z))
(/.f64 (-.f64 y (/.f64 t y)) z)
(+ (* -1 (/ t (* y z))) (/ y z))
(/.f64 (-.f64 y (/.f64 t y)) z)
(+ (* -1 (/ t (* y z))) (/ y z))
(/.f64 (-.f64 y (/.f64 t y)) z)
y
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(- x (* 1/3 (/ y z)))
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* -1 (/ t y))
(/.f64 (neg.f64 t) y)
(* t (- (/ y t) (/ 1 y)))
(-.f64 y (/.f64 t y))
(* t (- (/ y t) (/ 1 y)))
(-.f64 y (/.f64 t y))
(* t (- (/ y t) (/ 1 y)))
(-.f64 y (/.f64 t y))
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* -1 (/ t (* y z)))
(/.f64 (neg.f64 t) (*.f64 z y))
(* t (- (/ y (* t z)) (/ 1 (* y z))))
(/.f64 (-.f64 y (/.f64 t y)) z)
(* t (- (/ y (* t z)) (/ 1 (* y z))))
(/.f64 (-.f64 y (/.f64 t y)) z)
(* t (- (/ y (* t z)) (/ 1 (* y z))))
(/.f64 (-.f64 y (/.f64 t y)) z)
(* -1 (/ t y))
(/.f64 (neg.f64 t) y)
(* t (- (/ y t) (/ 1 y)))
(-.f64 y (/.f64 t y))
(* t (- (/ y t) (/ 1 y)))
(-.f64 y (/.f64 t y))
(* t (- (/ y t) (/ 1 y)))
(-.f64 y (/.f64 t y))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* -1 (/ t y))
(/.f64 (neg.f64 t) y)
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y))))
(-.f64 y (/.f64 t y))
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y))))
(-.f64 y (/.f64 t y))
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y))))
(-.f64 y (/.f64 t y))
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(/ t y)
(/.f64 t y)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
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(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))
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(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
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(/.f64 (neg.f64 t) (*.f64 z y))
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z)))))
(/.f64 (-.f64 y (/.f64 t y)) z)
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z)))))
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(/.f64 (-.f64 y (/.f64 t y)) z)
(* -1 (/ t y))
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(-.f64 y (/.f64 t y))
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y))))
(-.f64 y (/.f64 t y))
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(-.f64 y (/.f64 t y))
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(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
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(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
x
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)

rewrite304.0ms (3%)

Memory
-5.5MiB live, 237.6MiB allocated
Rules
6 986×lower-fma.f32
6 984×lower-fma.f64
5 598×lower-/.f32
5 584×lower-/.f64
4 212×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035183
050181
1188161
21721161
08535161
Stop Event
iter limit
node limit
iter limit
Counts
17 → 807
Calls
Call 1
Inputs
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
(-.f64 y (/.f64 t y))
(/.f64 t y)
(/.f64 #s(literal -1/3 binary64) z)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
(/.f64 y (*.f64 #s(literal -3 binary64) z))
(*.f64 #s(literal -3 binary64) z)
(*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
(neg.f64 y)
(/.f64 #s(literal 1/3 binary64) z)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z)
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))
Outputs
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eval508.0ms (4.9%)

Memory
-5.5MiB live, 278.6MiB allocated
Compiler

Compiled 24 299 to 2 306 computations (90.5% saved)

prune68.0ms (0.7%)

Memory
14.3MiB live, 172.1MiB allocated
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New1 43371 440
Fresh4610
Picked235
Done112
Total1 440171 457
Accuracy
100.0%
Counts
1 457 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
57.5%
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z)))
56.9%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
64.5%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
35.2%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
72.1%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))))
55.5%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
72.7%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -3 binary64)))
73.3%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
35.4%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z))
40.9%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
35.4%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)))
40.9%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
40.9%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
73.2%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))))
35.4%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z)))
40.6%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
Compiler

Compiled 278 to 295 computations (-6.1% saved)

simplify247.0ms (2.4%)

Memory
-6.7MiB live, 114.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 t z)
cost-diff0
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x))
cost-diff0
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
cost-diff320
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)
cost-diff0
(/.f64 (neg.f64 t) y)
cost-diff0
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y))
cost-diff0
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))
cost-diff0
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)))
cost-diff-384
(/.f64 t (*.f64 z y))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
cost-diff384
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
cost-diff0
(/.f64 #s(literal -1/3 binary64) z)
cost-diff0
(*.f64 (/.f64 #s(literal -1/3 binary64) z) y)
cost-diff0
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
cost-diff0
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff0
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))
Rules
4 780×lower-fma.f32
4 778×lower-fma.f64
1 932×lower-*.f32
1 918×lower-*.f64
1 520×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044253
064253
1113233
2221233
3461233
41056233
52737233
64141233
74805233
85058233
95215233
105266233
115278233
125632233
135788233
145788233
155788233
165888231
176403231
186639231
197215231
207862231
08005224
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))
(-.f64 y (/.f64 t y))
y
(/.f64 t y)
t
#s(literal 1/3 binary64)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
(*.f64 (/.f64 #s(literal -1/3 binary64) z) y)
(/.f64 #s(literal -1/3 binary64) z)
#s(literal -1/3 binary64)
z
y
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(/.f64 t (*.f64 z y))
t
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)))
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y))
(/.f64 (neg.f64 t) y)
(neg.f64 t)
t
y
(*.f64 #s(literal -3 binary64) z)
#s(literal -3 binary64)
z
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x))
(/.f64 t z)
t
z
#s(literal 1/3 binary64)
(*.f64 y x)
y
x
Outputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y)))
(-.f64 y (/.f64 t y))
y
(/.f64 t y)
t
#s(literal 1/3 binary64)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
(*.f64 (/.f64 #s(literal -1/3 binary64) z) y)
(/.f64 #s(literal -1/3 binary64) z)
#s(literal -1/3 binary64)
z
y
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))
(/.f64 t (*.f64 z y))
(/.f64 (/.f64 t z) y)
t
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y))))
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))
(*.f64 (/.f64 #s(literal -1/3 binary64) z) #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)))
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y))
(/.f64 (neg.f64 t) y)
(neg.f64 t)
t
y
(*.f64 #s(literal -3 binary64) z)
#s(literal -3 binary64)
z
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 (/.f64 t z) y) #s(literal 1/3 binary64) x))
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)
(fma.f64 (/.f64 (/.f64 t z) y) #s(literal 1/3 binary64) x)
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x))
(/.f64 t z)
t
z
#s(literal 1/3 binary64)
(*.f64 y x)
y
x

localize127.0ms (1.2%)

Memory
7.6MiB live, 250.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy0.5742166858302058
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x))
accuracy10.579449325675082
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)
accuracy24.75023809242931
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
accuracy0
(neg.f64 t)
accuracy2.586028056594298
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))
accuracy15.304599775112626
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)))
accuracy32.80226287192864
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y))
accuracy0
(*.f64 z y)
accuracy0.44649321495272826
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
accuracy4.644337049944217
(/.f64 t (*.f64 z y))
accuracy39.62112931401945
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
accuracy0.234375
(*.f64 (/.f64 #s(literal -1/3 binary64) z) y)
accuracy0.3828125
(/.f64 #s(literal -1/3 binary64) z)
accuracy37.76513460867103
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
accuracy0
(-.f64 y (/.f64 t y))
accuracy0.5375299351598481
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))
accuracy2.564211796825856
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))
accuracy15.304599775112626
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))))
Samples
103.0ms256×0valid
Compiler

Compiled 195 to 39 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 33.0ms (41.8% of total)
ival-div: 20.0ms (25.3% of total)
const: 18.0ms (22.8% of total)
ival-sub: 3.0ms (3.8% of total)
ival-add: 2.0ms (2.5% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series56.0ms (0.5%)

Memory
9.8MiB live, 122.3MiB allocated
Counts
22 → 708
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1/3 binary64) z) y) (patch (*.f64 (/.f64 #s(literal -1/3 binary64) z) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/3 binary64) z) (patch (/.f64 #s(literal -1/3 binary64) z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) (patch #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt (/.f64 t (*.f64 z y)) (patch (/.f64 t (*.f64 z y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)) (patch (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)) #<representation binary64>) () ())
#s(alt #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (patch #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 t) y) (patch (/.f64 (neg.f64 t) y) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) (patch (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())
#s(alt (-.f64 y (/.f64 t y)) (patch (-.f64 y (/.f64 t y)) #<representation binary64>) () ())
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (* -1/3 (/ y z)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) (patch (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) (patch (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) (patch (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) (patch (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 1/3 (/ t (* x z))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 1/3 (/ t (* x z))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* 1/3 (/ t (* x z))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) (patch #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) (patch #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) (patch #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) (patch #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) (patch (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) (patch (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) (patch (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) (patch (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
5.0ms
t
@inf
((* (/ -1 z) (* (- y (/ t y)) 1/3)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ -1 z) (* (- y (/ t y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (* (/ t (* z y)) 1/3) (- x (/ (- y (/ t y)) (* 3 z))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)) (- y (/ t y)) (/ (neg t) y) (/ (+ (* (/ t z) 1/3) (* y x)) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ t z) 1/3) (* y x)) (/ t z) (- y (/ t y)) (neg t) (* y x))
4.0ms
y
@inf
((* (/ -1 z) (* (- y (/ t y)) 1/3)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ -1 z) (* (- y (/ t y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (* (/ t (* z y)) 1/3) (- x (/ (- y (/ t y)) (* 3 z))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)) (- y (/ t y)) (/ (neg t) y) (/ (+ (* (/ t z) 1/3) (* y x)) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ t z) 1/3) (* y x)) (/ t z) (- y (/ t y)) (neg t) (* y x))
3.0ms
t
@-inf
((* (/ -1 z) (* (- y (/ t y)) 1/3)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ -1 z) (* (- y (/ t y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (* (/ t (* z y)) 1/3) (- x (/ (- y (/ t y)) (* 3 z))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)) (- y (/ t y)) (/ (neg t) y) (/ (+ (* (/ t z) 1/3) (* y x)) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ t z) 1/3) (* y x)) (/ t z) (- y (/ t y)) (neg t) (* y x))
3.0ms
y
@-inf
((* (/ -1 z) (* (- y (/ t y)) 1/3)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ -1 z) (* (- y (/ t y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (* (/ t (* z y)) 1/3) (- x (/ (- y (/ t y)) (* 3 z))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)) (- y (/ t y)) (/ (neg t) y) (/ (+ (* (/ t z) 1/3) (* y x)) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ t z) 1/3) (* y x)) (/ t z) (- y (/ t y)) (neg t) (* y x))
3.0ms
z
@-inf
((* (/ -1 z) (* (- y (/ t y)) 1/3)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ -1 z) (* (- y (/ t y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (* (/ t (* z y)) 1/3) (- x (/ (- y (/ t y)) (* 3 z))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)) (- y (/ t y)) (/ (neg t) y) (/ (+ (* (/ t z) 1/3) (* y x)) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ t z) 1/3) (* y x)) (/ t z) (- y (/ t y)) (neg t) (* y x))

simplify158.0ms (1.5%)

Memory
-1.3MiB live, 261.9MiB allocated
Algorithm
egg-herbie
Rules
9 784×lower-fma.f64
9 784×lower-fma.f32
4 824×lower-*.f64
4 824×lower-*.f32
1 588×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02085416
16454958
219034946
364504946
082364686
Stop Event
iter limit
node limit
Counts
708 → 675
Calls
Call 1
Inputs
(* -1/3 (/ y z))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(- x (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* 1/3 y)
(+ (* -1/3 (/ t y)) (* 1/3 y))
(+ (* -1/3 (/ t y)) (* 1/3 y))
(+ (* -1/3 (/ t y)) (* 1/3 y))
(- x (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(- x (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(- x (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* -1/3 (/ y z))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
y
(+ y (* -1 (/ t y)))
(+ y (* -1 (/ t y)))
(+ y (* -1 (/ t y)))
(* -1 (/ t y))
(* -1 (/ t y))
(* -1 (/ t y))
(* -1 (/ t y))
x
(+ x (* 1/3 (/ t (* y z))))
(+ x (* 1/3 (/ t (* y z))))
(+ x (* 1/3 (/ t (* y z))))
(- x (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* x y)
(+ (* 1/3 (/ t z)) (* x y))
(+ (* 1/3 (/ t z)) (* x y))
(+ (* 1/3 (/ t z)) (* x y))
(/ t z)
(/ t z)
(/ t z)
(/ t z)
y
(+ y (* -1 (/ t y)))
(+ y (* -1 (/ t y)))
(+ y (* -1 (/ t y)))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* 1/3 (/ t (* y z)))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(* 1/3 (/ t (* y z)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* -1/3 (/ t y))
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y))))
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y))))
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y))))
(* 1/3 (/ t (* y z)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(* 1/3 (/ t (* y z)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* 1/3 (/ t (* y z)))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(* -1 (/ t y))
(* t (- (/ y t) (/ 1 y)))
(* t (- (/ y t) (/ 1 y)))
(* t (- (/ y t) (/ 1 y)))
(* -1 (/ t y))
(* -1 (/ t y))
(* -1 (/ t y))
(* -1 (/ t y))
(* 1/3 (/ t (* y z)))
(* t (+ (* 1/3 (/ 1 (* y z))) (/ x t)))
(* t (+ (* 1/3 (/ 1 (* y z))) (/ x t)))
(* t (+ (* 1/3 (/ 1 (* y z))) (/ x t)))
(* 1/3 (/ t (* y z)))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(* 1/3 (/ t z))
(* t (+ (* 1/3 (/ 1 z)) (/ (* x y) t)))
(* t (+ (* 1/3 (/ 1 z)) (/ (* x y) t)))
(* t (+ (* 1/3 (/ 1 z)) (/ (* x y) t)))
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(* -1 (/ t y))
(* t (- (/ y t) (/ 1 y)))
(* t (- (/ y t) (/ 1 y)))
(* t (- (/ y t) (/ 1 y)))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* 1/3 (/ t (* y z)))
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))
(* 1/3 (/ t (* y z)))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* -1/3 (/ t y))
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y)))))
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y)))))
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y)))))
(* 1/3 (/ t (* y z)))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(* 1/3 (/ t (* y z)))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* 1/3 (/ t (* y z)))
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))))
(* -1 (/ t y))
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y))))
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y))))
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y))))
(* -1 (/ t y))
(* -1 (/ t y))
(* -1 (/ t y))
(* -1 (/ t y))
(* 1/3 (/ t (* y z)))
(* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z))))))
(* 1/3 (/ t (* y z)))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z))))))
(* 1/3 (/ t z))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* 1/3 (/ 1 z)))))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* 1/3 (/ 1 z)))))
(* -1 (* t (- (* -1 (/ (* x y) t)) (* 1/3 (/ 1 z)))))
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(* -1 (/ t y))
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y))))
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y))))
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y))))
(* -1 t)
(* -1 t)
(* -1 t)
(* -1 t)
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(/ -1/3 z)
(/ -1/3 z)
(/ -1/3 z)
(/ -1/3 z)
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
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(* -1/3 (/ (- y (/ t y)) z))
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z)
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z)
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z)
(* y z)
(* y z)
(* y z)
(* y z)
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(* 1/3 (/ t (* y z)))
(/ (+ (* 1/3 (/ t y)) (* x z)) z)
(/ (+ (* 1/3 (/ t y)) (* x z)) z)
(/ (+ (* 1/3 (/ t y)) (* x z)) z)
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z)
(* 1/3 (/ t z))
(/ (+ (* 1/3 t) (* x (* y z))) z)
(/ (+ (* 1/3 t) (* x (* y z))) z)
(/ (+ (* 1/3 t) (* x (* y z))) z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
x
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
x
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(/ -1/3 z)
(/ -1/3 z)
(/ -1/3 z)
(/ -1/3 z)
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
x
(+ x (* -1/3 (/ (- y (/ t y)) z)))
(+ x (* -1/3 (/ (- y (/ t y)) z)))
(+ x (* -1/3 (/ (- y (/ t y)) z)))
(* y z)
(* y z)
(* y z)
(* y z)
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
x
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
x
(+ x (* 1/3 (/ t (* y z))))
(+ x (* 1/3 (/ t (* y z))))
(+ x (* 1/3 (/ t (* y z))))
x
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* x y)
(+ (* 1/3 (/ t z)) (* x y))
(+ (* 1/3 (/ t z)) (* x y))
(+ (* 1/3 (/ t z)) (* x y))
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
x
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
x
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(/ -1/3 z)
(/ -1/3 z)
(/ -1/3 z)
(/ -1/3 z)
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
x
(+ x (* -1/3 (/ (- y (/ t y)) z)))
(+ x (* -1/3 (/ (- y (/ t y)) z)))
(+ x (* -1/3 (/ (- y (/ t y)) z)))
(* y z)
(* y z)
(* y z)
(* y z)
(/ t (* y z))
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(/ t (* y z))
x
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
(* -1/3 (/ (- y (/ t y)) z))
x
(+ x (* 1/3 (/ t (* y z))))
(+ x (* 1/3 (/ t (* y z))))
(+ x (* 1/3 (/ t (* y z))))
x
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
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(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z)))
(* x y)
(+ (* 1/3 (/ t z)) (* x y))
(+ (* 1/3 (/ t z)) (* x y))
(+ (* 1/3 (/ t z)) (* x y))
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(* 1/3 (/ t (* y z)))
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)
(* 1/3 (/ t (* y z)))
(/ (+ (* 1/3 (/ t z)) (* x y)) y)
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)
(* -1/3 (/ t y))
(/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y)
(/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y)
(/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y)
(* 1/3 (/ t (* y z)))
(/ (+ (* 1/3 (/ t z)) (* x y)) y)
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(* 1/3 (/ t (* y z)))
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(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(/ (- (* x y) (* -1/3 (/ t z))) y)
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y)
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y)
(* y z)
(* y z)
(* y z)
(* y z)
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(* 1/3 (/ t (* y z)))
(/ (+ (* 1/3 (/ t z)) (* x y)) y)
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)
(* 1/3 (/ t (* y z)))
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y)
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(/ (- (pow y 2) t) y)
(/ (- (pow y 2) t) y)
(/ (- (pow y 2) t) y)
(* -1 (/ t y))
(* -1 (/ t y))
(* -1 (/ t y))
(* -1 (/ t y))
(* 1/3 (/ t (* y z)))
(/ (+ (* 1/3 (/ t z)) (* x y)) y)
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(* 1/3 (/ t (* y z)))
(/ (+ (* 1/3 (/ t z)) (* x y)) y)
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y)
(* 1/3 (/ t z))
(+ (* 1/3 (/ t z)) (* x y))
(+ (* 1/3 (/ t z)) (* x y))
(+ (* 1/3 (/ t z)) (* x y))
(* -1 (/ t y))
(/ (- (pow y 2) t) y)
(/ (- (pow y 2) t) y)
(/ (- (pow y 2) t) y)
(* x y)
(* x y)
(* x y)
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(* -1/3 (/ y z))
(* y (- (/ x y) (* 1/3 (/ 1 z))))
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(* 1/3 y)
(* y (+ 1/3 (* -1/3 (/ t (pow y 2)))))
(* y (+ 1/3 (* -1/3 (/ t (pow y 2)))))
(* y (+ 1/3 (* -1/3 (/ t (pow y 2)))))
(* -1/3 (/ y z))
(* y (- (/ x y) (* 1/3 (/ 1 z))))
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(* -1/3 (/ y z))
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(* -1/3 (/ y z))
(* -1/3 (/ y z))
(* 1/3 (/ t (* y z)))
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(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* -1/3 (/ y z))
(* y (- (/ x y) (* 1/3 (/ 1 z))))
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(* y z)
(* y z)
(* y z)
(* y z)
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(* -1/3 (/ y z))
(* y (- (/ x y) (* 1/3 (/ 1 z))))
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(* -1/3 (/ y z))
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))
y
(* y (+ 1 (* -1 (/ t (pow y 2)))))
(* y (+ 1 (* -1 (/ t (pow y 2)))))
(* y (+ 1 (* -1 (/ t (pow y 2)))))
(* -1 (/ t y))
(* -1 (/ t y))
(* -1 (/ t y))
(* -1 (/ t y))
x
(+ x (* 1/3 (/ t (* y z))))
(+ x (* 1/3 (/ t (* y z))))
(+ x (* 1/3 (/ t (* y z))))
(* -1/3 (/ y z))
(* y (- (/ x y) (* 1/3 (/ 1 z))))
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z))))
(* x y)
(* y (+ x (* 1/3 (/ t (* y z)))))
(* y (+ x (* 1/3 (/ t (* y z)))))
(* y (+ x (* 1/3 (/ t (* y z)))))
y
(* y (+ 1 (* -1 (/ t (pow y 2)))))
(* y (+ 1 (* -1 (/ t (pow y 2)))))
(* y (+ 1 (* -1 (/ t (pow y 2)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1/3 (/ y z))
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))
(* -1/3 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* 1/3 y)
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3)))
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3)))
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3)))
(* -1/3 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(* -1/3 (/ y z))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* 1/3 (/ t (* y z)))
(* -1/3 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* y z)
(* y z)
(* y z)
(* y z)
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(/ t (* y z))
(* -1/3 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* -1/3 (/ y z))
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))))
y
(* -1 (* y (- (/ t (pow y 2)) 1)))
(* -1 (* y (- (/ t (pow y 2)) 1)))
(* -1 (* y (- (/ t (pow y 2)) 1)))
(* -1 (/ t y))
(* -1 (/ t y))
(* -1 (/ t y))
(* -1 (/ t y))
x
(+ x (* 1/3 (/ t (* y z))))
(+ x (* 1/3 (/ t (* y z))))
(+ x (* 1/3 (/ t (* y z))))
(* -1/3 (/ y z))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/3 (/ t (* y z))))))
(* -1 (* y (+ (* -1 x) (* -1/3 (/ t (* y z))))))
(* -1 (* y (+ (* -1 x) (* -1/3 (/ t (* y z))))))
y
(* -1 (* y (- (/ t (pow y 2)) 1)))
(* -1 (* y (- (/ t (pow y 2)) 1)))
(* -1 (* y (- (/ t (pow y 2)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* -1/3 (/ (- y (/ t y)) z))
(- x (* 1/3 (/ (- y (/ t y)) z)))
(- x (* 1/3 (/ (- y (/ t y)) z)))
(- x (* 1/3 (/ (- y (/ t y)) z)))
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* 1/3 (/ t (* y z)))
(+ x (* 1/3 (/ t (* y z))))
(+ x (* 1/3 (/ t (* y z))))
(+ x (* 1/3 (/ t (* y z))))
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(* 1/3 (/ t z))
(+ (* 1/3 (/ t z)) (* x y))
(+ (* 1/3 (/ t z)) (* x y))
(+ (* 1/3 (/ t z)) (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
x
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z)))))
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z)))))
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z)))))
x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
x
(* x (+ 1 (* 1/3 (/ t (* x (* y z))))))
(* x (+ 1 (* 1/3 (/ t (* x (* y z))))))
(* x (+ 1 (* 1/3 (/ t (* x (* y z))))))
x
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z)))))
(* x y)
(* x (+ y (* 1/3 (/ t (* x z)))))
(* x (+ y (* 1/3 (/ t (* x z)))))
(* x (+ y (* 1/3 (/ t (* x z)))))
(* x y)
(* x y)
(* x y)
(* x y)
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
x
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1)))
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
x
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1)))
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1)))
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1)))
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z))))))
(* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z))))))
(* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z))))))
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* -1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(- x (* 1/3 (/ y z)))
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* 1/3 y)
(*.f64 #s(literal 1/3 binary64) y)
(+ (* -1/3 (/ t y)) (* 1/3 y))
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))
(+ (* -1/3 (/ t y)) (* 1/3 y))
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))
(+ (* -1/3 (/ t y)) (* 1/3 y))
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))
(- x (* 1/3 (/ y z)))
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(- x (* 1/3 (/ y z)))
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(/ t (* y z))
(/.f64 t (*.f64 z y))
(/ t (* y z))
(/.f64 t (*.f64 z y))
(/ t (* y z))
(/.f64 t (*.f64 z y))
(/ t (* y z))
(/.f64 t (*.f64 z y))
(- x (* 1/3 (/ y z)))
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1/3 (/ y z))
(*.f64 (/.f64 y z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
y
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(* -1 (/ t y))
(/.f64 (neg.f64 t) y)
(* -1 (/ t y))
(/.f64 (neg.f64 t) y)
(* -1 (/ t y))
(/.f64 (neg.f64 t) y)
(* -1 (/ t y))
(/.f64 (neg.f64 t) y)
x
(+ x (* 1/3 (/ t (* y z))))
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)
(+ x (* 1/3 (/ t (* y z))))
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)
(+ x (* 1/3 (/ t (* y z))))
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)
(- x (* 1/3 (/ y z)))
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* x y)
(*.f64 x y)
(+ (* 1/3 (/ t z)) (* x y))
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y))
(+ (* 1/3 (/ t z)) (* x y))
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y))
(+ (* 1/3 (/ t z)) (* x y))
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y))
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
(/ t z)
(/.f64 t z)
y
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(+ y (* -1 (/ t y)))
(-.f64 y (/.f64 t y))
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* -1 t)
(neg.f64 t)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1/3 (/ t y))
(*.f64 (/.f64 t y) #s(literal -1/3 binary64))
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y))))
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y))))
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y))))
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(/ t (* y z))
(/.f64 t (*.f64 z y))
(/ t (* y z))
(/.f64 t (*.f64 z y))
(/ t (* y z))
(/.f64 t (*.f64 z y))
(/ t (* y z))
(/.f64 t (*.f64 z y))
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* 1/3 (/ t (* y z)))
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))
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(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
x
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1)))
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1)))
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1)))
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)
x
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1)))
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z))))))
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z))))))
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y))
(* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z))))))
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

rewrite192.0ms (1.9%)

Memory
-25.9MiB live, 357.7MiB allocated
Rules
6 890×lower-fma.f32
6 888×lower-fma.f64
4 992×lower-/.f32
4 976×lower-/.f64
4 364×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044226
064226
1239206
22083206
08551201
Stop Event
iter limit
node limit
iter limit
Counts
22 → 582
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))))
(/.f64 #s(literal -1 binary64) z)
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
(*.f64 (/.f64 #s(literal -1/3 binary64) z) y)
(/.f64 #s(literal -1/3 binary64) z)
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
(*.f64 z y)
(/.f64 t (*.f64 z y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)))
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y))
(/.f64 (neg.f64 t) y)
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x))
(/.f64 t z)
(-.f64 y (/.f64 t y))
(neg.f64 t)
(*.f64 y x)
Outputs
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eval171.0ms (1.7%)

Memory
18.1MiB live, 372.3MiB allocated
Compiler

Compiled 16 211 to 2 158 computations (86.7% saved)

prune179.0ms (1.7%)

Memory
-8.8MiB live, 158.0MiB allocated
Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New1 25071 257
Fresh538
Picked235
Done044
Total1 257171 274
Accuracy
100.0%
Counts
1 274 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
57.5%
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z)))
64.5%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
56.9%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
37.3%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)))
35.4%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z)))
35.3%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))
37.3%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t))))
35.2%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
34.7%
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))))
73.3%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
40.9%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
21.5%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
40.9%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
40.9%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
73.2%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))))
40.6%
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
Compiler

Compiled 549 to 280 computations (49% saved)

regimes125.0ms (1.2%)

Memory
19.0MiB live, 135.3MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))))
(-.f64 x (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 3 binary64)))
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))))
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z y) #s(literal 3 binary64))))
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(fma.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)))
Outputs
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))))
Calls

6 calls:

37.0ms
(*.f64 z #s(literal 3 binary64))
32.0ms
y
20.0ms
t
12.0ms
x
12.0ms
z
Results
AccuracySegmentsBranch
96.1%1x
99.4%3y
97.9%2z
98.7%2t
99.4%3(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
97.9%2(*.f64 z #s(literal 3 binary64))
Compiler

Compiled 22 to 33 computations (-50% saved)

regimes70.0ms (0.7%)

Memory
-14.5MiB live, 66.9MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))))
(-.f64 x (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 3 binary64)))
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))))
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z y) #s(literal 3 binary64))))
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(fma.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
Outputs
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
Calls

3 calls:

29.0ms
t
27.0ms
z
12.0ms
(*.f64 z #s(literal 3 binary64))
Results
AccuracySegmentsBranch
97.9%2z
97.9%2(*.f64 z #s(literal 3 binary64))
97.9%2t
Compiler

Compiled 5 to 14 computations (-180% saved)

regimes84.0ms (0.8%)

Memory
-9.9MiB live, 66.9MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))))
(-.f64 x (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 3 binary64)))
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))))
Outputs
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))))
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
Calls

3 calls:

42.0ms
(*.f64 z #s(literal 3 binary64))
29.0ms
t
11.0ms
z
Results
AccuracySegmentsBranch
97.9%2t
97.9%2z
97.9%2(*.f64 z #s(literal 3 binary64))
Compiler

Compiled 5 to 14 computations (-180% saved)

regimes99.0ms (1%)

Memory
13.3MiB live, 95.3MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))))
(-.f64 x (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 3 binary64)))
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
Outputs
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
Calls

5 calls:

43.0ms
z
24.0ms
y
10.0ms
(*.f64 z #s(literal 3 binary64))
10.0ms
t
9.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
Results
AccuracySegmentsBranch
96.1%1(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
96.1%1z
96.1%1(*.f64 z #s(literal 3 binary64))
96.1%1y
96.1%1t
Compiler

Compiled 21 to 29 computations (-38.1% saved)

regimes132.0ms (1.3%)

Memory
-23.9MiB live, 97.4MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y))
Outputs
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
Calls

6 calls:

36.0ms
y
34.0ms
t
33.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
9.0ms
x
9.0ms
(*.f64 z #s(literal 3 binary64))
Results
AccuracySegmentsBranch
96.0%1(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
96.0%1x
96.0%1y
96.0%1z
96.0%1(*.f64 z #s(literal 3 binary64))
96.0%1t
Compiler

Compiled 22 to 33 computations (-50% saved)

regimes88.0ms (0.9%)

Memory
11.0MiB live, 87.8MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
Outputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
Calls

6 calls:

45.0ms
(*.f64 z #s(literal 3 binary64))
10.0ms
x
8.0ms
t
8.0ms
y
8.0ms
z
Results
AccuracySegmentsBranch
95.4%1x
95.4%1y
95.4%1z
95.4%1(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
95.4%1(*.f64 z #s(literal 3 binary64))
95.4%1t
Compiler

Compiled 22 to 33 computations (-50% saved)

regimes107.0ms (1%)

Memory
6.3MiB live, 93.0MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)))
Outputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
Calls

6 calls:

38.0ms
(*.f64 z #s(literal 3 binary64))
37.0ms
z
8.0ms
y
8.0ms
x
8.0ms
t
Results
AccuracySegmentsBranch
85.6%3x
84.1%3z
83.6%3t
83.2%4(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
84.1%3(*.f64 z #s(literal 3 binary64))
89.3%3y
Compiler

Compiled 22 to 33 computations (-50% saved)

regimes64.0ms (0.6%)

Memory
-20.6MiB live, 57.9MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))
Outputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
Calls

6 calls:

24.0ms
y
21.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
5.0ms
x
5.0ms
(*.f64 z #s(literal 3 binary64))
5.0ms
z
Results
AccuracySegmentsBranch
64.5%1(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
71.6%3t
64.5%1z
64.5%1(*.f64 z #s(literal 3 binary64))
64.5%1x
80.6%3y
Compiler

Compiled 22 to 33 computations (-50% saved)

regimes5.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
Outputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
80.5%3y
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes17.0ms (0.2%)

Memory
-3.3MiB live, 34.2MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)))
Outputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
Calls

3 calls:

9.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
4.0ms
t
4.0ms
y
Results
AccuracySegmentsBranch
64.5%1(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
64.5%1t
64.5%1y
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes17.0ms (0.2%)

Memory
28.4MiB live, 28.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))
Outputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
Calls

6 calls:

3.0ms
(*.f64 z #s(literal 3 binary64))
3.0ms
y
3.0ms
z
3.0ms
x
3.0ms
t
Results
AccuracySegmentsBranch
40.9%1t
46.6%2x
40.9%1z
40.9%1(*.f64 z #s(literal 3 binary64))
52.7%3y
40.9%1(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
Compiler

Compiled 22 to 33 computations (-50% saved)

regimes3.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
Outputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
52.7%3y
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes13.0ms (0.1%)

Memory
-19.2MiB live, 24.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))
Outputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
Calls

6 calls:

3.0ms
y
2.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
2.0ms
(*.f64 z #s(literal 3 binary64))
2.0ms
x
2.0ms
t
Results
AccuracySegmentsBranch
40.9%1z
40.9%1(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
40.9%1(*.f64 z #s(literal 3 binary64))
40.9%1t
40.9%1x
40.9%1y
Compiler

Compiled 22 to 33 computations (-50% saved)

regimes19.0ms (0.2%)

Memory
-11.6MiB live, 27.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
Outputs
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
Calls

6 calls:

12.0ms
(*.f64 z #s(literal 3 binary64))
1.0ms
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
40.6%1z
40.6%1(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))
40.6%1(*.f64 z #s(literal 3 binary64))
40.6%1y
40.6%1t
40.6%1x
Compiler

Compiled 22 to 33 computations (-50% saved)

bsearch4.0ms (0%)

Memory
12.8MiB live, 12.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
1.6456459449825176e+39
8.234612392818133e+43
Samples
2.0ms32×0valid
Compiler

Compiled 76 to 70 computations (7.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 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
2.0941721389325886e+73
4.3129907169905363e+80
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch44.0ms (0.4%)

Memory
-18.5MiB live, 20.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
43.0ms
-8.30031407172683e+146
-8.087594186139035e+142
Samples
37.0ms128×0valid
Compiler

Compiled 218 to 210 computations (3.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (41.4% of total)
ival-mult: 2.0ms (41.4% of total)
ival-sub: 1.0ms (20.7% of total)
ival-add: 1.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
5.5MiB live, 43.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4.592685401121305e-70
1.6050030980608322e-65
8.0ms
-1.4658754233379846e+80
-4.957246979645866e+79
Samples
13.0ms208×0valid
Compiler

Compiled 226 to 265 computations (-17.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (38.7% of total)
ival-mult: 3.0ms (38.7% of total)
ival-sub: 1.0ms (12.9% of total)
ival-add: 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)

bsearch43.0ms (0.4%)

Memory
0.8MiB live, 43.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.6841602039914238e-96
2.9308467044517647e-95
15.0ms
-2.5575016144292665e-47
-1.4590330603335055e-56
Samples
16.0ms256×0valid
Compiler

Compiled 258 to 322 computations (-24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (41.2% of total)
ival-mult: 3.0ms (30.9% of total)
ival-sub: 1.0ms (10.3% of total)
ival-add: 1.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.6841602039914238e-96
2.9308467044517647e-95
4.0ms
-2.5575016144292665e-47
-1.4590330603335055e-56
Samples
2.0ms32×0valid
Compiler

Compiled 258 to 322 computations (-24.8% saved)

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

bsearch32.0ms (0.3%)

Memory
15.8MiB live, 53.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4.510911156195835e-57
7.042830265310395e-53
16.0ms
-7.767174106230751e+20
-1.62740447645711e+18
Samples
19.0ms256×0valid
Compiler

Compiled 226 to 306 computations (-35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (49.8% of total)
ival-div: 4.0ms (33.2% of total)
ival-sub: 1.0ms (8.3% of total)
ival-add: 1.0ms (8.3% 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
3.8MiB live, 3.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.510911156195835e-57
7.042830265310395e-53
1.0ms
-7.767174106230751e+20
-1.62740447645711e+18
Compiler

Compiled 226 to 306 computations (-35.4% saved)

simplify121.0ms (1.2%)

Memory
-32.4MiB live, 89.0MiB allocated
Algorithm
egg-herbie
Rules
336×distribute-lft-neg-in-binary64-*.f64-neg.f64
278×unsub-neg-binary64--.f64-neg.f64-+.f64
230×neg-mul-1-binary64-*.f64-neg.f64
216×cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64
180×neg-sub0-binary64--.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099584
1119584
2140584
3163584
4196584
5236584
6307584
7468584
8722584
9875584
101003584
111107584
121161584
131214584
141251584
151262584
161264584
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 t #s(literal 1999999999999999879418332743206357172224 binary64)) (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))))
(if (<=.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))))
(if (<=.f64 t #s(literal -81999999999999996315140137226485455788856138541313166767561319713832050907409038827141034033541783318658357069941371507889162614579981411418112 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))))
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
(if (<=.f64 y #s(literal -50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 3794275180128377/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -4001867083405173/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 6463189187793589/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -7371860416799003/105312291668557186697918027683670432318895095400549111254310977536 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 6463189187793589/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
(if (<=.f64 y #s(literal -5800000000000000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) (if (<=.f64 y #s(literal 7548785066802179/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -5800000000000000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) (if (<=.f64 y #s(literal 7548785066802179/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
Outputs
(if (<=.f64 t #s(literal 1999999999999999879418332743206357172224 binary64)) (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))))
(if (<=.f64 t #s(literal 1999999999999999879418332743206357172224 binary64)) (-.f64 (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)) (-.f64 (/.f64 y (*.f64 #s(literal 3 binary64) z)) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)) x)))
(if (<=.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))))
(if (<=.f64 (*.f64 #s(literal 3 binary64) z) #s(literal 39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (-.f64 (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)) (-.f64 (/.f64 y (*.f64 #s(literal 3 binary64) z)) x)))
(if (<=.f64 t #s(literal -81999999999999996315140137226485455788856138541313166767561319713832050907409038827141034033541783318658357069941371507889162614579981411418112 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))))
(if (<=.f64 t #s(literal -81999999999999996315140137226485455788856138541313166767561319713832050907409038827141034033541783318658357069941371507889162614579981411418112 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)) x)) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))))
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x)
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x))
(if (<=.f64 y #s(literal -50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 3794275180128377/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -4001867083405173/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 6463189187793589/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -7371860416799003/105312291668557186697918027683670432318895095400549111254310977536 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 6463189187793589/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
(if (<=.f64 y #s(literal -7371860416799003/105312291668557186697918027683670432318895095400549111254310977536 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 6463189187793589/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x))
(if (<=.f64 y #s(literal -5800000000000000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) (if (<=.f64 y #s(literal 7548785066802179/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -5800000000000000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) (if (<=.f64 y #s(literal 7548785066802179/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 y x)) y)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))))
(if (<=.f64 y #s(literal -5800000000000000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) (if (<=.f64 y #s(literal 7548785066802179/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -5800000000000000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) (if (<=.f64 y #s(literal 7548785066802179/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 y x)) y)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z)))
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))

soundness1.7s (16.9%)

Memory
43.5MiB live, 1 193.4MiB allocated
Rules
13 512×lower-fma.f64
13 512×lower-fma.f32
10 462×lower-fma.f64
10 462×lower-fma.f32
10 320×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035183
050181
1188161
21721161
08535161
02085416
16454958
219034946
364504946
082364686
01142
01742
16942
286138
0931837
01845274
15634678
217114662
354654602
087834360
033177
051173
1213165
22437165
08461157
01021348
13071262
28761262
327991262
463521262
082131196
044226
064226
1239206
22083206
08551201
Stop Event
fuel
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
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 795 to 439 computations (44.8% saved)

preprocess365.0ms (3.6%)

Memory
-21.5MiB live, 304.4MiB allocated
Compiler

Compiled 638 to 206 computations (67.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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