Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, A

Time bar (total: 8.7s)

analyze76.0ms (0.9%)

Memory
-18.4MiB live, 99.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
56.3%56.2%43.7%0.1%0%0%0%8
56.3%56.2%43.7%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
76.6%76.5%23.4%0.1%0%0%0%11
76.6%76.5%23.4%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample768.0ms (8.8%)

Memory
37.1MiB live, 933.2MiB allocated
Samples
536.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 280.0ms
ival-div: 160.0ms (57.1% of total)
ival-add: 57.0ms (20.4% of total)
ival-sub: 50.0ms (17.9% of total)
ival-true: 5.0ms (1.8% of total)
exact: 4.0ms (1.4% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess131.0ms (1.5%)

Memory
0.3MiB live, 83.2MiB allocated
Algorithm
egg-herbie
Rules
736×times-frac
510×div-sub
412×unsub-neg
390×distribute-rgt-in
372×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03599
18491
216190
336290
4110090
5203890
6280890
7340090
8354790
9361390
10364990
11367790
12367790
089
1139
2219
3309
4469
5629
6839
71119
81499
92089
103369
114509
126309
137829
148559
158969
168989
179029
09029
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (+ x y) (- 1 (/ y z)))
Outputs
(/ (+ x y) (- 1 (/ y z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Call 2
Inputs
(/ (+ x y) (- 1 (/ y z)))
(/ (+ (neg x) y) (- 1 (/ y z)))
(/ (+ x (neg y)) (- 1 (/ (neg y) z)))
(/ (+ x y) (- 1 (/ y (neg z))))
(neg (/ (+ (neg x) y) (- 1 (/ y z))))
(neg (/ (+ x (neg y)) (- 1 (/ (neg y) z))))
(neg (/ (+ x y) (- 1 (/ y (neg z)))))
(/ (+ y x) (- 1 (/ x z)))
(/ (+ z y) (- 1 (/ y x)))
(/ (+ x z) (- 1 (/ z y)))
Outputs
(/ (+ x y) (- 1 (/ y z)))
(/ (+ (neg x) y) (- 1 (/ y z)))
(/ (- y x) (- 1 (/ y z)))
(/ (+ x (neg y)) (- 1 (/ (neg y) z)))
(/ (- y x) (- -1 (/ y z)))
(/ (+ x y) (- 1 (/ y (neg z))))
(/ (+ x y) (+ 1 (/ y z)))
(neg (/ (+ (neg x) y) (- 1 (/ y z))))
(/ (- y x) (+ (/ y z) -1))
(neg (/ (+ x (neg y)) (- 1 (/ (neg y) z))))
(/ (- y x) (+ 1 (/ y z)))
(neg (/ (+ x y) (- 1 (/ y (neg z)))))
(/ (+ x y) (- -1 (/ y z)))
(/ (+ y x) (- 1 (/ x z)))
(/ (+ x y) (- 1 (/ x z)))
(/ (+ z y) (- 1 (/ y x)))
(/ (+ y z) (- 1 (/ y x)))
(/ (+ x z) (- 1 (/ z y)))

explain139.0ms (1.6%)

Memory
-12.7MiB live, 113.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-0-(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
00-0-(-.f64 #s(literal 1 binary64) (/.f64 y z))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-z
00-0-x
00-0-(/.f64 y z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))n/o340
(/.f64 y z)overflow34
(-.f64 #s(literal 1 binary64) (/.f64 y z))overflow34
Confusion
Predicted +Predicted -
+340
-0222
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3400
-00222
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0222
134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 8.0ms (57.7% of total)
ival-sub: 3.0ms (21.6% of total)
ival-add: 3.0ms (21.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify36.0ms (0.4%)

Memory
4.6MiB live, 42.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff0
(+.f64 x y)
cost-diff0
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Rules
368×accelerator-lowering-fma.f32
368×accelerator-lowering-fma.f64
240×*-lowering-*.f32
240×*-lowering-*.f64
196×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11324
22124
33024
44624
56224
68324
711124
814924
920824
1033624
1145024
1263024
1378224
1485524
1589624
1689824
1790224
090224
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ x y) (- 1 (/ y z)))
(+ x y)
x
y
(- 1 (/ y z))
1
(/ y z)
z
Outputs
(/ (+ x y) (- 1 (/ y z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x y)
(+.f64 x y)
x
y
(- 1 (/ y z))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
1
#s(literal 1 binary64)
(/ y z)
(/.f64 y z)
z

localize24.0ms (0.3%)

Memory
8.5MiB live, 46.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y z)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy87.3%
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Samples
14.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (45.2% of total)
ival-add: 2.0ms (30.1% of total)
ival-sub: 1.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-22.8MiB live, 15.0MiB allocated
Counts
4 → 108
Calls
Call 1
Inputs
#<alt (/ (+ x y) (- 1 (/ y z)))>
#<alt (+ x y)>
#<alt (- 1 (/ y z))>
#<alt (/ y z)>
Outputs
#<alt (/ y (- 1 (/ y z)))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt x>
#<alt (+ x (* y (- 1 (* -1 (/ x z)))))>
#<alt (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))>
#<alt (+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))>
#<alt (* -1 z)>
#<alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y)))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))>
#<alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))>
#<alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))>
#<alt (+ x y)>
#<alt (+ x (+ y (/ (* y (+ x y)) z)))>
#<alt (- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))>
#<alt (- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))>
#<alt (+ x y)>
#<alt (+ x (+ y (/ (* y (+ x y)) z)))>
#<alt (+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))>
#<alt (+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (/ y z))>
#<alt (/ (- z y) z)>
#<alt (/ (- z y) z)>
#<alt (/ (- z y) z)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
Calls

27 calls:

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

rewrite286.0ms (3.3%)

Memory
33.8MiB live, 386.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 550×*-lowering-*.f32
3 550×*-lowering-*.f64
3 202×/-lowering-/.f32
3 202×/-lowering-/.f64
2 858×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
15220
242820
3769220
0801220
Stop Event
iter limit
node limit
Counts
4 → 336
Calls
Call 1
Inputs
(/ (+ x y) (- 1 (/ y z)))
(+ x y)
(- 1 (/ y z))
(/ y z)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) y))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) x))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) z)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) z)) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 y z)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (/.f64 y z)))
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (/.f64 y z)) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))))
(+.f64 (*.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))))
(+.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 (/.f64 y z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))) (*.f64 (/.f64 y z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))))
(+.f64 (*.f64 (/.f64 y z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (/.f64 (+.f64 x y) (+.f64 (/.f64 y z) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z)))))))
(/.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (fma.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) z) (*.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) z) (-.f64 (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) z)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(/.f64 y z)
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) z)
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))

simplify630.0ms (7.2%)

Memory
-9.6MiB live, 744.6MiB allocated
Algorithm
egg-herbie
Rules
17 244×accelerator-lowering-fma.f32
17 244×accelerator-lowering-fma.f64
4 624×*-lowering-*.f32
4 624×*-lowering-*.f64
2 932×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181958
1589915
21842852
37158833
08263790
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(/ y (- 1 (/ y z)))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(/ x (- 1 (/ y z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(/ x (- 1 (/ y z)))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
x
(+ x (* y (- 1 (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))
(* -1 z)
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
(* -1 z)
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y)))
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y)))
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(* -1 (/ y z))
(* y (- (/ 1 y) (/ 1 z)))
(* y (- (/ 1 y) (/ 1 z)))
(* y (- (/ 1 y) (/ 1 z)))
(* -1 (/ y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (/ y z))
(/ (- z y) z)
(/ (- z y) z)
(/ (- z y) z)
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
Outputs
(/ y (- 1 (/ y z)))
(*.f64 (/.f64 y (-.f64 z y)) z)
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(fma.f64 (/.f64 x (-.f64 z y)) z (*.f64 (/.f64 y (-.f64 z y)) z))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(fma.f64 (/.f64 x (-.f64 z y)) z (*.f64 (/.f64 y (-.f64 z y)) z))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(fma.f64 (/.f64 x (-.f64 z y)) z (*.f64 (/.f64 y (-.f64 z y)) z))
(/ x (- 1 (/ y z)))
(*.f64 (/.f64 x (-.f64 z y)) z)
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(/ x (- 1 (/ y z)))
(*.f64 (/.f64 x (-.f64 z y)) z)
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) z (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))))
x
(+ x (* y (- 1 (* -1 (/ x z)))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
(fma.f64 y (+.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 1 binary64)) (/.f64 x z)) x)
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))
(fma.f64 y (fma.f64 y (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x z))) x)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
(fma.f64 z (fma.f64 z (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) z) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (*.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) z)) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 z (/.f64 z y) z)) y)) y))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y)))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z (+.f64 x (/.f64 (*.f64 z (+.f64 z x)) y)))) y))
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y)))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 z (/.f64 z y) z)) y)) y))
(* -1 (/ (* z (+ x y)) y))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(*.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(*.f64 z (fma.f64 z (-.f64 (fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(*.f64 z (fma.f64 z (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y))))) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(+ x y)
(+.f64 y x)
(+ x (+ y (/ (* y (+ x y)) z)))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) z)) x)
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(+.f64 y (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) x))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(+.f64 x (+.f64 y (/.f64 (fma.f64 y (+.f64 y x) (/.f64 (*.f64 y (*.f64 (+.f64 y x) (fma.f64 y (/.f64 y z) y))) z)) z)))
(+ x y)
(+.f64 y x)
(+ x (+ y (/ (* y (+ x y)) z)))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) z)) x)
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+.f64 y (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) x))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
(+.f64 x (+.f64 y (/.f64 (fma.f64 y (+.f64 y x) (/.f64 (*.f64 y (*.f64 (+.f64 y x) (fma.f64 y (/.f64 y z) y))) z)) z)))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 x (/.f64 y x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(* y (- (/ 1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* y (- (/ 1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* y (- (/ 1 y) (/ 1 z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(* -1 (/ y z))
(-.f64 #s(literal 0 binary64) (/.f64 y z))
(/ (- z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/ (- z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/ (- z y) z)
(-.f64 #s(literal 1 binary64) (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(+ 1 (* -1 (/ y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)

eval77.0ms (0.9%)

Memory
-12.2MiB live, 118.9MiB allocated
Compiler

Compiled 10 558 to 999 computations (90.5% saved)

prune89.0ms (1%)

Memory
6.5MiB live, 130.3MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New43410444
Fresh000
Picked101
Done000
Total43510445
Accuracy
100.0%
Counts
445 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
55.2%
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
87.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))
41.7%
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
28.5%
(-.f64 #s(literal 0 binary64) z)
55.0%
(+.f64 y x)
42.4%
(*.f64 (/.f64 y (-.f64 z y)) z)
53.2%
(*.f64 (/.f64 x (-.f64 z y)) z)
43.5%
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
40.2%
x
Compiler

Compiled 188 to 126 computations (33% saved)

simplify202.0ms (2.3%)

Memory
19.4MiB live, 213.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 z x)
cost-diff0
(/.f64 (*.f64 z (+.f64 z x)) y)
cost-diff0
(-.f64 #s(literal 0 binary64) z)
cost-diff192
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
cost-diff-64
(*.f64 (/.f64 x (-.f64 z y)) z)
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 x (-.f64 z y))
cost-diff0
(-.f64 #s(literal 0 binary64) z)
cost-diff0
(/.f64 y z)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y z))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))
Rules
2 336×accelerator-lowering-fma.f32
2 336×accelerator-lowering-fma.f64
1 176×*-lowering-*.f32
1 176×*-lowering-*.f64
1 048×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01889
14789
29786
320686
447486
5151286
6317986
7411786
8456686
9462186
10463686
11463686
12493286
13504986
14504986
15504986
0504986
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (/ (- 1 (/ y z)) (+ x y)))
1
(/ (- 1 (/ y z)) (+ x y))
(- 1 (/ y z))
(/ y z)
y
z
(+ x y)
x
x
(- 0 z)
0
z
(* (/ x (- z y)) z)
(/ x (- z y))
x
(- z y)
z
y
(- (- 0 z) (/ (* z (+ z x)) y))
(- 0 z)
0
z
(/ (* z (+ z x)) y)
(* z (+ z x))
(+ z x)
x
y
Outputs
(/ 1 (/ (- 1 (/ y z)) (+ x y)))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
1
#s(literal 1 binary64)
(/ (- 1 (/ y z)) (+ x y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))
(- 1 (/ y z))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(/ y z)
(/.f64 y z)
y
z
(+ x y)
(+.f64 y x)
x
x
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(* (/ x (- z y)) z)
(fma.f64 z (/.f64 x (-.f64 z y)) #s(literal 0 binary64))
(/ x (- z y))
(/.f64 x (-.f64 z y))
x
(- z y)
(-.f64 z y)
z
y
(- (- 0 z) (/ (* z (+ z x)) y))
(fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z x) y)) #s(literal 0 binary64))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(/ (* z (+ z x)) y)
(fma.f64 z (/.f64 (+.f64 z x) y) #s(literal 0 binary64))
(* z (+ z x))
(fma.f64 z (+.f64 z x) #s(literal 0 binary64))
(+ z x)
(+.f64 z x)
x
y

localize59.0ms (0.7%)

Memory
4.8MiB live, 121.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 z x)
accuracy100.0%
(*.f64 z (+.f64 z x))
accuracy100.0%
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
accuracy91.2%
(/.f64 (*.f64 z (+.f64 z x)) y)
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(/.f64 x (-.f64 z y))
accuracy85.9%
(*.f64 (/.f64 x (-.f64 z y)) z)
accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y z))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))
accuracy87.3%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))
Samples
33.0ms256×0valid
Compiler

Compiled 94 to 20 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 9.0ms (46.3% of total)
ival-sub: 5.0ms (25.7% of total)
ival-mult: 3.0ms (15.4% of total)
ival-add: 2.0ms (10.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
-23.9MiB live, 51.5MiB allocated
Counts
13 → 372
Calls
Call 1
Inputs
#<alt (/ 1 (/ (- 1 (/ y z)) (+ x y)))>
#<alt (/ (- 1 (/ y z)) (+ x y))>
#<alt (- 1 (/ y z))>
#<alt (/ y z)>
#<alt (- 0 z)>
#<alt (/ x (- z y))>
#<alt (- z y)>
#<alt (* (/ x (- z y)) z)>
#<alt (- (- 0 z) (/ (* z (+ z x)) y))>
#<alt (/ (* z (+ z x)) y)>
#<alt (+ z x)>
#<alt (+ x y)>
#<alt (* z (+ z x))>
Outputs
#<alt x>
#<alt (+ x (* y (- 1 (* -1 (/ x z)))))>
#<alt (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))>
#<alt (+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))>
#<alt (* -1 z)>
#<alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y)))>
#<alt (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y)))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))>
#<alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))>
#<alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))>
#<alt (+ x y)>
#<alt (+ x (+ y (/ (* y (+ x y)) z)))>
#<alt (- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))>
#<alt (- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))>
#<alt (+ x y)>
#<alt (+ x (+ y (/ (* y (+ x y)) z)))>
#<alt (+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))>
#<alt (+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))>
#<alt (/ y (- 1 (/ y z)))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))>
#<alt (/ x (- 1 (/ y z)))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (* y (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (/ (* y (+ (/ 1 (* x z)) (/ 1 (pow x 2)))) x) (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (* (pow x 3) z)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 (* x z)) (/ 1 (pow x 2))) x)))) (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (/ -1 z)>
#<alt (- (/ 1 y) (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (- (+ (* -1 (/ (* x (- 1 (* -1 (/ x z)))) (pow y 2))) (/ 1 y)) (+ (* -1 (/ x (* y z))) (/ 1 z)))>
#<alt (- (+ (/ 1 y) (/ (* (pow x 2) (- 1 (* -1 (/ x z)))) (pow y 3))) (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ (* x (- 1 (* -1 (/ x z)))) (pow y 2)))))>
#<alt (/ -1 z)>
#<alt (- (+ (/ 1 y) (/ x (* y z))) (/ 1 z))>
#<alt (- (* -1 (/ (- (/ (* x (+ 1 (/ x z))) y) (+ 1 (/ x z))) y)) (/ 1 z))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1 (/ x z))) y) (* x (+ 1 (/ x z)))) y)) (+ 1 (/ x z))) y)) (/ 1 z))>
#<alt (* -1 (/ y (* z (+ x y))))>
#<alt (/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)>
#<alt (/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)>
#<alt (/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)>
#<alt (/ 1 (+ x y))>
#<alt (+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))>
#<alt (+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))>
#<alt (+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))>
#<alt (/ 1 (+ x y))>
#<alt (+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))>
#<alt (+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))>
#<alt (+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))>
#<alt (/ (- 1 (/ y z)) y)>
#<alt (- (+ (* x (- (/ 1 (* y z)) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z))>
#<alt (- (+ (* x (- (+ (* x (- (/ 1 (pow y 3)) (/ 1 (* (pow y 2) z)))) (/ 1 (* y z))) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z))>
#<alt (- (+ (* x (- (+ (* x (- (+ (* x (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 4)))) (/ 1 (pow y 3))) (/ 1 (* (pow y 2) z)))) (/ 1 (* y z))) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z))>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (/ (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z)) x)>
#<alt (/ (- (+ 1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x))) x)>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow y 3) (- 1 (/ y z))) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x)))) x)>
#<alt (/ (- 1 (/ y z)) x)>
#<alt (* -1 (/ (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)) x))>
#<alt (* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (/ (* (pow y 2) (- 1 (/ y z))) x) (* y (- 1 (/ y z)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- 1 (/ y z))) x) (* (pow y 2) (- 1 (/ y z)))) x)) (* y (- 1 (/ y z)))) x))) x))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (* -1 (/ y z))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* y (- (/ 1 y) (/ 1 z)))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (* y (- (/ 1 z) (/ 1 y))))>
#<alt (* -1 (/ y z))>
#<alt (/ (- z y) z)>
#<alt (/ (- z y) z)>
#<alt (/ (- z y) z)>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (+ 1 (* -1 (/ y z)))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (/ x (- z y))>
#<alt (/ x (- z y))>
#<alt (/ x (- z y))>
#<alt (/ x (- z y))>
#<alt (/ x (- z y))>
#<alt (/ x (- z y))>
#<alt (/ x (- z y))>
#<alt (/ x (- z y))>
#<alt (/ x (- z y))>
#<alt (/ x (- z y))>
#<alt (/ x (- z y))>
#<alt (/ x (- z y))>
#<alt (* -1 (/ x y))>
#<alt (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))>
#<alt (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))>
#<alt (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))>
#<alt (/ x z)>
#<alt (/ (+ x (/ (* x y) z)) z)>
#<alt (/ (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) z)>
#<alt (/ (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) z)>
#<alt (/ x z)>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (* x y) z))) z))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) z))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) z))>
#<alt (/ x z)>
#<alt (+ (/ x z) (/ (* x y) (pow z 2)))>
#<alt (+ (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (/ x z))>
#<alt (+ (* y (- (* y (- (/ (* x y) (pow z 4)) (* -1 (/ x (pow z 3))))) (* -1 (/ x (pow z 2))))) (/ x z))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ (* -1 x) (* -1 (/ (* x z) y))) y)>
#<alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (/ (* x z) y)) y)>
#<alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 3)) (pow y 3)))) (+ (/ (* x z) y) (/ (* x (pow z 2)) (pow y 2)))) y)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ (+ x (/ (* x z) y)) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow z 2)) y)) (* x z)) y))) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 3)) y) (* -1 (* x (pow z 2)))) y)) (* x z)) y))) y))>
#<alt (* -1 y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt z>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))>
#<alt (* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))>
#<alt (* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))>
#<alt (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z)))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z)))))>
#<alt (+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z)))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)>
#<alt (/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y)>
#<alt (/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y)>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y))>
#<alt (* -1 (* z (+ 1 (/ x y))))>
#<alt (* z (- (* -1 (/ z y)) (+ 1 (/ x y))))>
#<alt (* z (- (* -1 (/ z y)) (+ 1 (/ x y))))>
#<alt (* z (- (* -1 (/ z y)) (+ 1 (/ x y))))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))>
#<alt (* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))>
#<alt (* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))>
#<alt (* -1 (/ (pow z 2) y))>
#<alt (* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y)))>
#<alt (* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y)))>
#<alt (* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y)))>
#<alt (* -1 (+ z (/ (pow z 2) y)))>
#<alt (- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y)))>
#<alt (- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y)))>
#<alt (- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y)))>
#<alt (* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y)))>
#<alt (* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y)))))>
#<alt (* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y)))))>
#<alt (* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y)))))>
#<alt (* -1 (/ (* z (+ x z)) y))>
#<alt (/ (- (* -1 (* y z)) (* z (+ x z))) y)>
#<alt (/ (- (* -1 (* y z)) (* z (+ x z))) y)>
#<alt (/ (- (* -1 (* y z)) (* z (+ x z))) y)>
#<alt (* -1 z)>
#<alt (- (* -1 (/ (* z (+ x z)) y)) z)>
#<alt (- (* -1 (/ (* z (+ x z)) y)) z)>
#<alt (- (* -1 (/ (* z (+ x z)) y)) z)>
#<alt (* -1 z)>
#<alt (- (* -1 (/ (* z (+ x z)) y)) z)>
#<alt (- (* -1 (/ (* z (+ x z)) y)) z)>
#<alt (- (* -1 (/ (* z (+ x z)) y)) z)>
#<alt (/ (* x z) y)>
#<alt (* z (+ (/ x y) (/ z y)))>
#<alt (* z (+ (/ x y) (/ z y)))>
#<alt (* z (+ (/ x y) (/ z y)))>
#<alt (/ (pow z 2) y)>
#<alt (* (pow z 2) (+ (/ 1 y) (/ x (* y z))))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ x (* y z))))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ x (* y z))))>
#<alt (/ (pow z 2) y)>
#<alt (* (pow z 2) (+ (/ 1 y) (/ x (* y z))))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ x (* y z))))>
#<alt (* (pow z 2) (+ (/ 1 y) (/ x (* y z))))>
#<alt (/ (pow z 2) y)>
#<alt (+ (/ (* x z) y) (/ (pow z 2) y))>
#<alt (+ (/ (* x z) y) (/ (pow z 2) y))>
#<alt (+ (/ (* x z) y) (/ (pow z 2) y))>
#<alt (/ (* x z) y)>
#<alt (* x (+ (/ z y) (/ (pow z 2) (* x y))))>
#<alt (* x (+ (/ z y) (/ (pow z 2) (* x y))))>
#<alt (* x (+ (/ z y) (/ (pow z 2) (* x y))))>
#<alt (/ (* x z) y)>
#<alt (* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))))>
#<alt (* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))))>
#<alt (* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))))>
#<alt (/ (* z (+ x z)) y)>
#<alt (/ (* z (+ x z)) y)>
#<alt (/ (* z (+ x z)) y)>
#<alt (/ (* z (+ x z)) y)>
#<alt (/ (* z (+ x z)) y)>
#<alt (/ (* z (+ x z)) y)>
#<alt (/ (* z (+ x z)) y)>
#<alt (/ (* z (+ x z)) y)>
#<alt (/ (* z (+ x z)) y)>
#<alt (/ (* z (+ x z)) y)>
#<alt (/ (* z (+ x z)) y)>
#<alt (/ (* z (+ x z)) y)>
#<alt x>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt z>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt (* z (+ 1 (/ x z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ x z)) 1)))>
#<alt z>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt (+ x z)>
#<alt x>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt (* x (+ 1 (/ z x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* x z)>
#<alt (* z (+ x z))>
#<alt (* z (+ x z))>
#<alt (* z (+ x z))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ x z)))>
#<alt (* (pow z 2) (+ 1 (/ x z)))>
#<alt (* (pow z 2) (+ 1 (/ x z)))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ x z)))>
#<alt (* (pow z 2) (+ 1 (/ x z)))>
#<alt (* (pow z 2) (+ 1 (/ x z)))>
#<alt (pow z 2)>
#<alt (+ (* x z) (pow z 2))>
#<alt (+ (* x z) (pow z 2))>
#<alt (+ (* x z) (pow z 2))>
#<alt (* x z)>
#<alt (* x (+ z (/ (pow z 2) x)))>
#<alt (* x (+ z (/ (pow z 2) x)))>
#<alt (* x (+ z (/ (pow z 2) x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))))>
Calls

93 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(- (- 0 z) (/ (* z (+ z x)) y))
2.0ms
z
@0
(/ (- 1 (/ y z)) (+ x y))
2.0ms
x
@inf
(/ (- 1 (/ y z)) (+ x y))
1.0ms
z
@-inf
(- (- 0 z) (/ (* z (+ z x)) y))
1.0ms
z
@inf
(- (- 0 z) (/ (* z (+ z x)) y))

rewrite380.0ms (4.4%)

Memory
13.7MiB live, 595.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 980×*-lowering-*.f32
4 980×*-lowering-*.f64
4 774×/-lowering-/.f32
4 774×/-lowering-/.f64
3 516×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01873
114371
2139271
0864570
Stop Event
iter limit
node limit
Counts
13 → 637
Calls
Call 1
Inputs
(/ 1 (/ (- 1 (/ y z)) (+ x y)))
(/ (- 1 (/ y z)) (+ x y))
(- 1 (/ y z))
(/ y z)
(- 0 z)
(/ x (- z y))
(- z y)
(* (/ x (- z y)) z)
(- (- 0 z) (/ (* z (+ z x)) y))
(/ (* z (+ z x)) y)
(+ z x)
(+ x y)
(* z (+ z x))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) y) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) x))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) x) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) y))
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z)))))
(+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))))
(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z)))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) y (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) x (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) y))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 y x)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 y x))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x))) (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
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(-.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 x z)))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))))
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(pow.f64 (/.f64 (fma.f64 x (-.f64 x z) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))) #s(literal -1 binary64))
(*.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x z) (fma.f64 z z #s(literal 0 binary64)))))
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(+.f64 y x)
(+.f64 x y)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (-.f64 y x)))
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(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
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(+.f64 (*.f64 z x) (fma.f64 z z #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 z x))) (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 x x)) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 z x))))
(fma.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)) (*.f64 z x))
(fma.f64 z z (*.f64 z x))
(fma.f64 z x (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 x z (fma.f64 z z #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z) (*.f64 z x))
(fma.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 z x))
(fma.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 z x))
(fma.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) z) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64))) (*.f64 z x))
(fma.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) z) (/.f64 (-.f64 #s(literal 0 binary64) z) z) (*.f64 z x))
(fma.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z)) (*.f64 z x))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) z)) (*.f64 z x))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) z) (*.f64 z x))
(fma.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (pow.f64 z #s(literal 3/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (pow.f64 z #s(literal 3/2 binary64))) (*.f64 z x))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (pow.f64 z #s(literal 3/2 binary64))) (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (pow.f64 z #s(literal 3/2 binary64))) (*.f64 z x))
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(/.f64 (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) (-.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 x x)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 z x)))))
(/.f64 (-.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 x x))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 z x)))
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(/.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) z) (-.f64 z x))
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(/.f64 (neg.f64 (*.f64 z (*.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (-.f64 z x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) (*.f64 x (*.f64 x x))) z)) (neg.f64 (fma.f64 x (-.f64 x z) (fma.f64 z z #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) z)) (neg.f64 (-.f64 z x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 x x) (-.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (*.f64 z x) (fma.f64 z z #s(literal 0 binary64))))))
(*.f64 z (+.f64 z x))
(*.f64 (+.f64 z x) z)

simplify405.0ms (4.7%)

Memory
21.7MiB live, 672.0MiB allocated
Algorithm
egg-herbie
Rules
9 286×accelerator-lowering-fma.f32
9 286×accelerator-lowering-fma.f64
5 256×*-lowering-*.f32
5 256×*-lowering-*.f64
2 568×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05663866
118333681
254893491
082253335
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
x
(+ x (* y (- 1 (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))
(* -1 z)
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
(* -1 z)
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y)))
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y)))
(* -1 (/ (* z (+ x y)) y))
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(+ x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
(/ y (- 1 (/ y z)))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(/ x (- 1 (/ y z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(/ x (- 1 (/ y z)))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(/ 1 x)
(+ (* -1 (* y (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x))
(+ (* y (- (/ (* y (+ (/ 1 (* x z)) (/ 1 (pow x 2)))) x) (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (* (pow x 3) z)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 (* x z)) (/ 1 (pow x 2))) x)))) (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x))
(/ -1 z)
(- (/ 1 y) (+ (* -1 (/ x (* y z))) (/ 1 z)))
(- (+ (* -1 (/ (* x (- 1 (* -1 (/ x z)))) (pow y 2))) (/ 1 y)) (+ (* -1 (/ x (* y z))) (/ 1 z)))
(- (+ (/ 1 y) (/ (* (pow x 2) (- 1 (* -1 (/ x z)))) (pow y 3))) (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ (* x (- 1 (* -1 (/ x z)))) (pow y 2)))))
(/ -1 z)
(- (+ (/ 1 y) (/ x (* y z))) (/ 1 z))
(- (* -1 (/ (- (/ (* x (+ 1 (/ x z))) y) (+ 1 (/ x z))) y)) (/ 1 z))
(- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1 (/ x z))) y) (* x (+ 1 (/ x z)))) y)) (+ 1 (/ x z))) y)) (/ 1 z))
(* -1 (/ y (* z (+ x y))))
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z)
(/ 1 (+ x y))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(/ 1 (+ x y))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y)))
(/ (- 1 (/ y z)) y)
(- (+ (* x (- (/ 1 (* y z)) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z))
(- (+ (* x (- (+ (* x (- (/ 1 (pow y 3)) (/ 1 (* (pow y 2) z)))) (/ 1 (* y z))) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z))
(- (+ (* x (- (+ (* x (- (+ (* x (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 4)))) (/ 1 (pow y 3))) (/ 1 (* (pow y 2) z)))) (/ 1 (* y z))) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z))
(/ (- 1 (/ y z)) x)
(/ (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z)) x)
(/ (- (+ 1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x))) x)
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (- 1 (/ y z))) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x)))) x)
(/ (- 1 (/ y z)) x)
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)) x))
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (/ (* (pow y 2) (- 1 (/ y z))) x) (* y (- 1 (/ y z)))) x))) x))
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- 1 (/ y z))) x) (* (pow y 2) (- 1 (/ y z)))) x)) (* y (- 1 (/ y z)))) x))) x))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(* -1 (/ y z))
(* y (- (/ 1 y) (/ 1 z)))
(* y (- (/ 1 y) (/ 1 z)))
(* y (- (/ 1 y) (/ 1 z)))
(* -1 (/ y z))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (* y (- (/ 1 z) (/ 1 y))))
(* -1 (/ y z))
(/ (- z y) z)
(/ (- z y) z)
(/ (- z y) z)
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
1
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(+ 1 (* -1 (/ y z)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(/ x (- z y))
(/ x (- z y))
(/ x (- z y))
(/ x (- z y))
(/ x (- z y))
(/ x (- z y))
(/ x (- z y))
(/ x (- z y))
(/ x (- z y))
(/ x (- z y))
(/ x (- z y))
(/ x (- z y))
(* -1 (/ x y))
(+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))
(+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))
(+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))
(/ x z)
(/ (+ x (/ (* x y) z)) z)
(/ (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) z)
(/ (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) z)
(/ x z)
(* -1 (/ (+ (* -1 x) (* -1 (/ (* x y) z))) z))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) z))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) z))
(/ x z)
(+ (/ x z) (/ (* x y) (pow z 2)))
(+ (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (/ x z))
(+ (* y (- (* y (- (/ (* x y) (pow z 4)) (* -1 (/ x (pow z 3))))) (* -1 (/ x (pow z 2))))) (/ x z))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ (* x z) y))) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (/ (* x z) y)) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 3)) (pow y 3)))) (+ (/ (* x z) y) (/ (* x (pow z 2)) (pow y 2)))) y)
(* -1 (/ x y))
(* -1 (/ (+ x (/ (* x z) y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow z 2)) y)) (* x z)) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 3)) y) (* -1 (* x (pow z 2)))) y)) (* x z)) y))) y))
(* -1 y)
(- z y)
(- z y)
(- z y)
z
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
z
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
z
(+ z (* -1 y))
(+ z (* -1 y))
(+ z (* -1 y))
(* -1 y)
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
x
(+ x (/ (* x y) z))
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))
x
(+ x (/ (* x y) z))
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z)))
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z)))
x
(+ x (/ (* x y) z))
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z)))))
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z)))))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y)
(* -1 (/ (* x z) y))
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y))
(* -1 (* z (+ 1 (/ x y))))
(* z (- (* -1 (/ z y)) (+ 1 (/ x y))))
(* z (- (* -1 (/ z y)) (+ 1 (/ x y))))
(* z (- (* -1 (/ z y)) (+ 1 (/ x y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y)))
(* -1 (+ z (/ (pow z 2) y)))
(- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y)))
(- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y)))
(- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y)))
(* -1 (/ (* x z) y))
(* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y)))
(* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y)))
(* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y)))
(* -1 (/ (* x z) y))
(* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y)))))
(* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y)))))
(* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y)))))
(* -1 (/ (* z (+ x z)) y))
(/ (- (* -1 (* y z)) (* z (+ x z))) y)
(/ (- (* -1 (* y z)) (* z (+ x z))) y)
(/ (- (* -1 (* y z)) (* z (+ x z))) y)
(* -1 z)
(- (* -1 (/ (* z (+ x z)) y)) z)
(- (* -1 (/ (* z (+ x z)) y)) z)
(- (* -1 (/ (* z (+ x z)) y)) z)
(* -1 z)
(- (* -1 (/ (* z (+ x z)) y)) z)
(- (* -1 (/ (* z (+ x z)) y)) z)
(- (* -1 (/ (* z (+ x z)) y)) z)
(/ (* x z) y)
(* z (+ (/ x y) (/ z y)))
(* z (+ (/ x y) (/ z y)))
(* z (+ (/ x y) (/ z y)))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ x (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ x (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ x (* y z))))
(/ (pow z 2) y)
(* (pow z 2) (+ (/ 1 y) (/ x (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ x (* y z))))
(* (pow z 2) (+ (/ 1 y) (/ x (* y z))))
(/ (pow z 2) y)
(+ (/ (* x z) y) (/ (pow z 2) y))
(+ (/ (* x z) y) (/ (pow z 2) y))
(+ (/ (* x z) y) (/ (pow z 2) y))
(/ (* x z) y)
(* x (+ (/ z y) (/ (pow z 2) (* x y))))
(* x (+ (/ z y) (/ (pow z 2) (* x y))))
(* x (+ (/ z y) (/ (pow z 2) (* x y))))
(/ (* x z) y)
(* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))))
(* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))))
(* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))))
(/ (* z (+ x z)) y)
(/ (* z (+ x z)) y)
(/ (* z (+ x z)) y)
(/ (* z (+ x z)) y)
(/ (* z (+ x z)) y)
(/ (* z (+ x z)) y)
(/ (* z (+ x z)) y)
(/ (* z (+ x z)) y)
(/ (* z (+ x z)) y)
(/ (* z (+ x z)) y)
(/ (* z (+ x z)) y)
(/ (* z (+ x z)) y)
x
(+ x z)
(+ x z)
(+ x z)
z
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
(* z (+ 1 (/ x z)))
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
z
(+ x z)
(+ x z)
(+ x z)
x
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
(* x (+ 1 (/ z x)))
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* x z)
(* z (+ x z))
(* z (+ x z))
(* z (+ x z))
(pow z 2)
(* (pow z 2) (+ 1 (/ x z)))
(* (pow z 2) (+ 1 (/ x z)))
(* (pow z 2) (+ 1 (/ x z)))
(pow z 2)
(* (pow z 2) (+ 1 (/ x z)))
(* (pow z 2) (+ 1 (/ x z)))
(* (pow z 2) (+ 1 (/ x z)))
(pow z 2)
(+ (* x z) (pow z 2))
(+ (* x z) (pow z 2))
(+ (* x z) (pow z 2))
(* x z)
(* x (+ z (/ (pow z 2) x)))
(* x (+ z (/ (pow z 2) x)))
(* x (+ z (/ (pow z 2) x)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))))
Outputs
x
(+ x (* y (- 1 (* -1 (/ x z)))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z)))))
(fma.f64 y (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z) (+.f64 #s(literal 1 binary64) (/.f64 x z))) x)
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z)))))
(fma.f64 y (fma.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y (*.f64 z z)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) x)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y))
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y))
(-.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x z))) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 z (+.f64 x z)) (-.f64 #s(literal 0 binary64) y))) z)
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y)))
(-.f64 (fma.f64 (*.f64 z z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x z))) (*.f64 y (*.f64 y y))) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x z))) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 z (+.f64 x z)) (-.f64 #s(literal 0 binary64) y)))) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y)))
(-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 x z) (/.f64 z y) x) (*.f64 z z)) (-.f64 #s(literal 0 binary64) y)) z)
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y)))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (fma.f64 z (+.f64 x z) (/.f64 (fma.f64 z (*.f64 (*.f64 z (+.f64 x z)) (/.f64 z y)) (*.f64 z (*.f64 z (+.f64 x z)))) y)) y))
(* -1 (/ (* z (+ x y)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x y))) y)
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) (/.f64 (+.f64 x y) y)))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(*.f64 z (-.f64 (*.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))))) (/.f64 (+.f64 x y) y)))
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))))
(*.f64 z (fma.f64 z (-.f64 (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 z (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) y) y)))
(+ x y)
(+.f64 x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(fma.f64 y (/.f64 (+.f64 x y) z) (+.f64 x y))
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z)))
(+.f64 (+.f64 x y) (/.f64 (fma.f64 y (/.f64 (*.f64 y (+.f64 x y)) z) (*.f64 y (+.f64 x y))) z))
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))))
(+.f64 (+.f64 x y) (fma.f64 y (*.f64 (*.f64 y y) (/.f64 (+.f64 x y) (*.f64 z (*.f64 z z)))) (/.f64 (fma.f64 y (/.f64 (*.f64 y (+.f64 x y)) z) (*.f64 y (+.f64 x y))) z)))
(+ x y)
(+.f64 x y)
(+ x (+ y (/ (* y (+ x y)) z)))
(fma.f64 y (/.f64 (+.f64 x y) z) (+.f64 x y))
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z))))
(+.f64 (+.f64 x y) (/.f64 (fma.f64 y (/.f64 (*.f64 y (+.f64 x y)) z) (*.f64 y (+.f64 x y))) z))
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z))))
(+.f64 (+.f64 x y) (/.f64 (+.f64 (/.f64 (fma.f64 y (*.f64 y (+.f64 x y)) (/.f64 (*.f64 y (*.f64 y (*.f64 y (+.f64 x y)))) z)) z) (*.f64 y (+.f64 x y))) z))
(/ y (- 1 (/ y z)))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z))))
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 x (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 x (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z))))))
(fma.f64 x (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/ x (- 1 (/ y z)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 x (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 x (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z))))))
(fma.f64 x (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (* y (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 y (*.f64 x z)) (/.f64 y (*.f64 x x))))
(+ (* y (- (/ (* y (+ (/ 1 (* x z)) (/ 1 (pow x 2)))) x) (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 y (-.f64 (/.f64 (+.f64 (/.f64 y (*.f64 x z)) (/.f64 y (*.f64 x x))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (* (pow x 3) z)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 (* x z)) (/ 1 (pow x 2))) x)))) (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (+.f64 (/.f64 y (*.f64 x (*.f64 (*.f64 x x) z))) (/.f64 y (pow.f64 x #s(literal 4 binary64))))) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x z))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (/ 1 y) (+ (* -1 (/ x (* y z))) (/ 1 z)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y) (/.f64 #s(literal -1 binary64) z))
(- (+ (* -1 (/ (* x (- 1 (* -1 (/ x z)))) (pow y 2))) (/ 1 y)) (+ (* -1 (/ x (* y z))) (/ 1 z)))
(+.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 x (*.f64 y y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y)) (/.f64 #s(literal -1 binary64) z))
(- (+ (/ 1 y) (/ (* (pow x 2) (- 1 (* -1 (/ x z)))) (pow y 3))) (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ (* x (- 1 (* -1 (/ x z)))) (pow y 2)))))
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 y (*.f64 y y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y)) (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (+ (/ 1 y) (/ x (* y z))) (/ 1 z))
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(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y)
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 z (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 y (*.f64 y y)))) (/.f64 (fma.f64 x (*.f64 z z) (*.f64 x (/.f64 (*.f64 z (*.f64 z z)) y))) (-.f64 #s(literal 0 binary64) y))) y)
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 z (/.f64 z y) z))) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y))
(/.f64 (fma.f64 x (fma.f64 z (*.f64 z (/.f64 z (*.f64 y y))) (/.f64 (*.f64 z z) y)) (*.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y))
(/.f64 (fma.f64 x z (/.f64 (+.f64 (/.f64 (fma.f64 x (*.f64 z (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (/.f64 x y))) y) (*.f64 x (*.f64 z z))) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* z (+ 1 (/ x y))))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* z (- (* -1 (/ z y)) (+ 1 (/ x y))))
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(* z (- (* -1 (/ z y)) (+ 1 (/ x y))))
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(* z (- (* -1 (/ z y)) (+ 1 (/ x y))))
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(* -1 (/ (pow z 2) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) y)
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal -1 binary64) y)))
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal -1 binary64) y)))
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal -1 binary64) y)))
(* -1 (/ (pow z 2) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) y)
(* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal -1 binary64) y)))
(* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal -1 binary64) y)))
(* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal -1 binary64) y)))
(* -1 (+ z (/ (pow z 2) y)))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z y) z))
(- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y)))
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y)))
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y)))
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y)))
(*.f64 x (-.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 (fma.f64 z (/.f64 z y) z) x)))
(* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y)))
(*.f64 x (-.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 (fma.f64 z (/.f64 z y) z) x)))
(* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y)))
(*.f64 x (-.f64 (/.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 (fma.f64 z (/.f64 z y) z) x)))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) y))
(* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 z y) (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z x))))
(* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 z y) (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z x))))
(* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 z y) (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z x))))
(* -1 (/ (* z (+ x z)) y))
(/.f64 (*.f64 z (+.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(/ (- (* -1 (* y z)) (* z (+ x z))) y)
(/.f64 (*.f64 z (-.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x z))) y)
(/ (- (* -1 (* y z)) (* z (+ x z))) y)
(/.f64 (*.f64 z (-.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x z))) y)
(/ (- (* -1 (* y z)) (* z (+ x z))) y)
(/.f64 (*.f64 z (-.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x z))) y)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* -1 (/ (* z (+ x z)) y)) z)
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(- (* -1 (/ (* z (+ x z)) y)) z)
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(- (* -1 (/ (* z (+ x z)) y)) z)
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* -1 (/ (* z (+ x z)) y)) z)
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(- (* -1 (/ (* z (+ x z)) y)) z)
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(- (* -1 (/ (* z (+ x z)) y)) z)
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x z) (/.f64 z y) z))
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(* z (+ (/ x y) (/ z y)))
(/.f64 (*.f64 z (+.f64 x z)) y)
(* z (+ (/ x y) (/ z y)))
(/.f64 (*.f64 z (+.f64 x z)) y)
(* z (+ (/ x y) (/ z y)))
(/.f64 (*.f64 z (+.f64 x z)) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(* (pow z 2) (+ (/ 1 y) (/ x (* y z))))
(*.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))
(* (pow z 2) (+ (/ 1 y) (/ x (* y z))))
(*.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))
(* (pow z 2) (+ (/ 1 y) (/ x (* y z))))
(*.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(* (pow z 2) (+ (/ 1 y) (/ x (* y z))))
(*.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))
(* (pow z 2) (+ (/ 1 y) (/ x (* y z))))
(*.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))
(* (pow z 2) (+ (/ 1 y) (/ x (* y z))))
(*.f64 (*.f64 z z) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(+ (/ (* x z) y) (/ (pow z 2) y))
(/.f64 (*.f64 z (+.f64 x z)) y)
(+ (/ (* x z) y) (/ (pow z 2) y))
(/.f64 (*.f64 z (+.f64 x z)) y)
(+ (/ (* x z) y) (/ (pow z 2) y))
(/.f64 (*.f64 z (+.f64 x z)) y)
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(* x (+ (/ z y) (/ (pow z 2) (* x y))))
(*.f64 x (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z y)))
(* x (+ (/ z y) (/ (pow z 2) (* x y))))
(*.f64 x (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z y)))
(* x (+ (/ z y) (/ (pow z 2) (* x y))))
(*.f64 x (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z y)))
(/ (* x z) y)
(/.f64 (*.f64 x z) y)
(* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))))
(*.f64 x (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z y)))
(* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))))
(*.f64 x (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z y)))
(* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))))
(*.f64 x (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z y)))
(/ (* z (+ x z)) y)
(/.f64 (*.f64 z (+.f64 x z)) y)
(/ (* z (+ x z)) y)
(/.f64 (*.f64 z (+.f64 x z)) y)
(/ (* z (+ x z)) y)
(/.f64 (*.f64 z (+.f64 x z)) y)
(/ (* z (+ x z)) y)
(/.f64 (*.f64 z (+.f64 x z)) y)
(/ (* z (+ x z)) y)
(/.f64 (*.f64 z (+.f64 x z)) y)
(/ (* z (+ x z)) y)
(/.f64 (*.f64 z (+.f64 x z)) y)
(/ (* z (+ x z)) y)
(/.f64 (*.f64 z (+.f64 x z)) y)
(/ (* z (+ x z)) y)
(/.f64 (*.f64 z (+.f64 x z)) y)
(/ (* z (+ x z)) y)
(/.f64 (*.f64 z (+.f64 x z)) y)
(/ (* z (+ x z)) y)
(/.f64 (*.f64 z (+.f64 x z)) y)
(/ (* z (+ x z)) y)
(/.f64 (*.f64 z (+.f64 x z)) y)
(/ (* z (+ x z)) y)
(/.f64 (*.f64 z (+.f64 x z)) y)
x
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
z
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
(* z (+ 1 (/ x z)))
(fma.f64 z (/.f64 x z) z)
z
(* -1 (* z (- (* -1 (/ x z)) 1)))
(fma.f64 z (/.f64 x z) z)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(fma.f64 z (/.f64 x z) z)
(* -1 (* z (- (* -1 (/ x z)) 1)))
(fma.f64 z (/.f64 x z) z)
z
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
(+ x z)
(+.f64 x z)
x
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
(* x (+ 1 (/ z x)))
(fma.f64 x (/.f64 z x) x)
x
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 z x)))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* x z)
(*.f64 x z)
(* z (+ x z))
(*.f64 z (+.f64 x z))
(* z (+ x z))
(*.f64 z (+.f64 x z))
(* z (+ x z))
(*.f64 z (+.f64 x z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ x z)))
(*.f64 z (fma.f64 z (/.f64 x z) z))
(* (pow z 2) (+ 1 (/ x z)))
(*.f64 z (fma.f64 z (/.f64 x z) z))
(* (pow z 2) (+ 1 (/ x z)))
(*.f64 z (fma.f64 z (/.f64 x z) z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ x z)))
(*.f64 z (fma.f64 z (/.f64 x z) z))
(* (pow z 2) (+ 1 (/ x z)))
(*.f64 z (fma.f64 z (/.f64 x z) z))
(* (pow z 2) (+ 1 (/ x z)))
(*.f64 z (fma.f64 z (/.f64 x z) z))
(pow z 2)
(*.f64 z z)
(+ (* x z) (pow z 2))
(*.f64 z (+.f64 x z))
(+ (* x z) (pow z 2))
(*.f64 z (+.f64 x z))
(+ (* x z) (pow z 2))
(*.f64 z (+.f64 x z))
(* x z)
(*.f64 x z)
(* x (+ z (/ (pow z 2) x)))
(*.f64 x (fma.f64 z (/.f64 z x) z))
(* x (+ z (/ (pow z 2) x)))
(*.f64 x (fma.f64 z (/.f64 z x) z))
(* x (+ z (/ (pow z 2) x)))
(*.f64 x (fma.f64 z (/.f64 z x) z))
(* x z)
(*.f64 x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))))
(*.f64 x (fma.f64 z (/.f64 z x) z))
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))))
(*.f64 x (fma.f64 z (/.f64 z x) z))
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))))
(*.f64 x (fma.f64 z (/.f64 z x) z))

eval153.0ms (1.8%)

Memory
-18.8MiB live, 204.0MiB allocated
Compiler

Compiled 22 455 to 2 586 computations (88.5% saved)

prune157.0ms (1.8%)

Memory
-29.3MiB live, 209.0MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 070111 081
Fresh145
Picked325
Done000
Total1 074171 091
Accuracy
100.0%
Counts
1 091 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.2%
(fma.f64 x (/.f64 y z) x)
39.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x y))) y)
43.6%
(/.f64 (*.f64 z x) (-.f64 z y))
52.8%
(/.f64 z (/.f64 (-.f64 z y) x))
35.2%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
43.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 z x)))
28.2%
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z y) z))
55.0%
(+.f64 y x)
3.3%
(*.f64 (/.f64 z z) z)
42.4%
(*.f64 (/.f64 y (-.f64 z y)) z)
53.2%
(*.f64 (/.f64 x (-.f64 z y)) z)
37.2%
(*.f64 (/.f64 x z) z)
53.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) z)
43.5%
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
55.5%
(*.f64 x (/.f64 z (-.f64 z y)))
28.5%
(neg.f64 z)
40.2%
x
Compiler

Compiled 300 to 193 computations (35.7% saved)

simplify292.0ms (3.4%)

Memory
13.7MiB live, 336.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 z (+.f64 x y))
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x y)))
cost-diff192
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x y))) y)
cost-diff-64
(*.f64 (/.f64 y (-.f64 z y)) z)
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 y (-.f64 z y))
cost-diff320
(*.f64 (/.f64 z z) z)
cost-diff704
(/.f64 z z)
cost-diff-64
(neg.f64 z)
cost-diff-64
(*.f64 x (/.f64 z (-.f64 z y)))
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 z (-.f64 z y))
Rules
6 736×accelerator-lowering-fma.f32
6 736×accelerator-lowering-fma.f64
4 712×*-lowering-*.f32
4 712×*-lowering-*.f64
2 772×/-lowering-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01667
14567
29267
326967
487467
5337566
6600966
0862466
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (/ z (- z y)))
x
(/ z (- z y))
z
(- z y)
y
(neg z)
z
(* (/ z z) z)
(/ z z)
z
(* (/ y (- z y)) z)
(/ y (- z y))
y
(- z y)
z
(/ (- 0 (* z (+ x y))) y)
(- 0 (* z (+ x y)))
0
(* z (+ x y))
z
(+ x y)
x
y
Outputs
(* x (/ z (- z y)))
(fma.f64 x (/.f64 z (-.f64 z y)) #s(literal 0 binary64))
x
(/ z (- z y))
(/.f64 z (-.f64 z y))
z
(- z y)
(-.f64 z y)
y
(neg z)
(-.f64 #s(literal 0 binary64) z)
z
(* (/ z z) z)
z
(/ z z)
#s(literal 1 binary64)
z
(* (/ y (- z y)) z)
(fma.f64 y (/.f64 z (-.f64 z y)) #s(literal 0 binary64))
(/ y (- z y))
(/.f64 y (-.f64 z y))
y
(- z y)
(-.f64 z y)
z
(/ (- 0 (* z (+ x y))) y)
(fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 0 binary64))
(- 0 (* z (+ x y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* z (+ x y))
(fma.f64 z (+.f64 x y) #s(literal 0 binary64))
z
(+ x y)
(+.f64 x y)
x
y

localize53.0ms (0.6%)

Memory
7.3MiB live, 83.5MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x y)))
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(*.f64 z (+.f64 x y))
accuracy85.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x y))) y)
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(/.f64 y (-.f64 z y))
accuracy86.8%
(*.f64 (/.f64 y (-.f64 z y)) z)
accuracy100.0%
(/.f64 z z)
accuracy100.0%
(*.f64 (/.f64 z z) z)
accuracy100.0%
(neg.f64 z)
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(/.f64 z (-.f64 z y))
accuracy94.4%
(*.f64 x (/.f64 z (-.f64 z y)))
Samples
33.0ms256×0valid
Compiler

Compiled 77 to 18 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 7.0ms (33.5% of total)
ival-mult: 6.0ms (28.7% of total)
ival-sub: 5.0ms (23.9% of total)
ival-add: 1.0ms (4.8% of total)
ival-neg: 1.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-14.8MiB live, 28.1MiB allocated
Counts
12 → 300
Calls
Call 1
Inputs
#<alt (/ z (- z y))>
#<alt (- z y)>
#<alt (* x (/ z (- z y)))>
#<alt (neg z)>
#<alt (/ z z)>
#<alt (* (/ z z) z)>
#<alt (/ y (- z y))>
#<alt (* (/ y (- z y)) z)>
#<alt (/ (- 0 (* z (+ x y))) y)>
#<alt (- 0 (* z (+ x y)))>
#<alt (+ x y)>
#<alt (* z (+ x y))>
Outputs
#<alt (* -1 (/ z y))>
#<alt (* z (- (* -1 (/ z (pow y 2))) (/ 1 y)))>
#<alt (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt (* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))>
#<alt 1>
#<alt (+ 1 (/ y z))>
#<alt (- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z)))>
#<alt (- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2)))))>
#<alt 1>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z)))>
#<alt 1>
#<alt (+ 1 (/ y z))>
#<alt (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))>
#<alt (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))>
#<alt (* -1 (/ z y))>
#<alt (/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y)>
#<alt (/ (- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) y)>
#<alt (/ (- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) y)>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ (+ z (/ (pow z 2) y)) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (* -1 (pow z 3))) y)) (pow z 2)) y))) y))>
#<alt (* -1 y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt z>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))>
#<alt (* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))>
#<alt (* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))>
#<alt (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z)))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z)))))>
#<alt (+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z)))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)>
#<alt (/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y)>
#<alt (/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y)>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt z>
#<alt (/ y z)>
#<alt (* y (+ (/ 1 z) (/ y (pow z 2))))>
#<alt (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)))>
#<alt (* y (+ (* y (+ (* y (+ (/ 1 (pow z 3)) (/ y (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z)))>
#<alt -1>
#<alt (- (* -1 (/ z y)) 1)>
#<alt (- (* -1 (/ (pow z 2) (pow y 2))) (+ 1 (/ z y)))>
#<alt (- (* -1 (/ (pow z 3) (pow y 3))) (+ 1 (+ (/ z y) (/ (pow z 2) (pow y 2)))))>
#<alt -1>
#<alt (- (* -1 (/ z y)) 1)>
#<alt (- (* -1 (/ (- (/ (pow z 2) y) (* -1 z)) y)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y)) (* -1 z)) y)) 1)>
#<alt -1>
#<alt (- (* -1 (/ z y)) 1)>
#<alt (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)>
#<alt (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)>
#<alt (/ y z)>
#<alt (/ (+ y (/ (pow y 2) z)) z)>
#<alt (/ (- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) z)>
#<alt (/ (- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) z)>
#<alt (/ y z)>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) z) (pow y 2)) z))) z))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) z)) (* -1 (pow y 3))) z)) (pow y 2)) z))) z))>
#<alt y>
#<alt (* y (+ 1 (/ y z)))>
#<alt (* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2))))))>
#<alt (* y (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (pow z 2) y)))>
#<alt (- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y))>
#<alt (- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (pow z 2) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y)))>
#<alt (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y)))>
#<alt (* -1 z)>
#<alt (* z (- (* -1 (/ z y)) 1))>
#<alt (* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1))>
#<alt (* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1))>
#<alt y>
#<alt (+ y (/ (pow y 2) z))>
#<alt (- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z)))>
#<alt (- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2)))))>
#<alt y>
#<alt (+ y (/ (pow y 2) z))>
#<alt (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z)))>
#<alt (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z)))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* -1 (/ (* z (+ x y)) y))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))>
#<alt (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))>
#<alt (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (* x (+ (/ z x) (/ z y))))>
#<alt (* -1 (* x (+ (/ z x) (/ z y))))>
#<alt (* -1 (* x (+ (/ z x) (/ z y))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* -1 (* y z))) y)>
#<alt (/ (+ (* -1 (* x z)) (* -1 (* y z))) y)>
#<alt (/ (+ (* -1 (* x z)) (* -1 (* y z))) y)>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (+ (* -1 z) (* -1 (/ (* x z) y)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* y z))>
#<alt (- (* -1 (* x z)) (* y z))>
#<alt (- (* -1 (* x z)) (* y z))>
#<alt (- (* -1 (* x z)) (* y z))>
#<alt (* -1 (* x z))>
#<alt (* x (- (* -1 (/ (* y z) x)) z))>
#<alt (* x (- (* -1 (/ (* y z) x)) z))>
#<alt (* x (- (* -1 (/ (* y z) x)) z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (- (/ (* y z) x) (* -1 z))))>
#<alt (* -1 (* x (- (/ (* y z) x) (* -1 z))))>
#<alt (* -1 (* x (- (/ (* y z) x) (* -1 z))))>
#<alt (* -1 (* x z))>
#<alt (- (* -1 (* y z)) (* x z))>
#<alt (- (* -1 (* y z)) (* x z))>
#<alt (- (* -1 (* y z)) (* x z))>
#<alt (* -1 (* y z))>
#<alt (* y (- (* -1 (/ (* x z) y)) z))>
#<alt (* y (- (* -1 (/ (* x z) y)) z))>
#<alt (* y (- (* -1 (/ (* x z) y)) z))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (- (/ (* x z) y) (* -1 z))))>
#<alt (* -1 (* y (- (/ (* x z) y) (* -1 z))))>
#<alt (* -1 (* y (- (/ (* x z) y) (* -1 z))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* z (+ x y))>
#<alt (* y z)>
#<alt (+ (* x z) (* y z))>
#<alt (+ (* x z) (* y z))>
#<alt (+ (* x z) (* y z))>
#<alt (* x z)>
#<alt (* x (+ z (/ (* y z) x)))>
#<alt (* x (+ z (/ (* y z) x)))>
#<alt (* x (+ z (/ (* y z) x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* x z)>
#<alt (+ (* x z) (* y z))>
#<alt (+ (* x z) (* y z))>
#<alt (+ (* x z) (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ (* x z) y)))>
#<alt (* y (+ z (/ (* x z) y)))>
#<alt (* y (+ z (/ (* x z) y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))>
Calls

75 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ (- 0 (* z (+ x y))) y)
1.0ms
z
@0
(/ (- 0 (* z (+ x y))) y)
1.0ms
z
@inf
(/ (- 0 (* z (+ x y))) y)
0.0ms
y
@inf
(/ (- 0 (* z (+ x y))) y)
0.0ms
y
@0
(/ (- 0 (* z (+ x y))) y)

rewrite417.0ms (4.8%)

Memory
25.1MiB live, 733.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 244×*-lowering-*.f32
5 244×*-lowering-*.f64
4 626×accelerator-lowering-fma.f32
4 626×accelerator-lowering-fma.f64
4 556×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01655
110053
278153
0847853
Stop Event
iter limit
node limit
Counts
12 → 1 483
Calls
Call 1
Inputs
(/ z (- z y))
(- z y)
(* x (/ z (- z y)))
(neg z)
(/ z z)
(* (/ z z) z)
(/ y (- z y))
(* (/ y (- z y)) z)
(/ (- 0 (* z (+ x y))) y)
(- 0 (* z (+ x y)))
(+ x y)
(* z (+ x y))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 z (-.f64 z y)))
(+.f64 (/.f64 (*.f64 z y) (*.f64 (-.f64 z y) (+.f64 z y))) (*.f64 z (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y)))))
(+.f64 (*.f64 (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y))) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y))) (*.f64 y (+.f64 z y))))
(+.f64 (*.f64 (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y))) (*.f64 y (+.f64 z y))) (*.f64 (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y))) (fma.f64 z z #s(literal 0 binary64))))
(+.f64 (*.f64 (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y))) (fma.f64 y y (fma.f64 z z #s(literal 0 binary64)))) (*.f64 (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y))) (*.f64 z y)))
(+.f64 (*.f64 (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y))) z) (*.f64 (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y))) y))
(+.f64 (*.f64 (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y))) y) (*.f64 (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y))) z))
(+.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y)))) (*.f64 (*.f64 y (+.f64 z y)) (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y)))))
(+.f64 (*.f64 (*.f64 y (+.f64 z y)) (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y)))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y)))))
(+.f64 (*.f64 (fma.f64 y y (fma.f64 z z #s(literal 0 binary64))) (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y)))) (*.f64 (*.f64 z y) (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y)))))
(+.f64 (*.f64 z (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y)))) (/.f64 (*.f64 z y) (*.f64 (-.f64 z y) (+.f64 z y))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 z (-.f64 y z)))
(fma.f64 z (/.f64 y (*.f64 (-.f64 z y) (+.f64 z y))) (*.f64 z (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y)))))
(fma.f64 z (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y))) (/.f64 (*.f64 z y) (*.f64 (-.f64 z y) (+.f64 z y))))
(fma.f64 y (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y))) (*.f64 z (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y)))))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y))) (*.f64 (*.f64 y (+.f64 z y)) (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y)))))
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z y) (+.f64 z y))) (*.f64 z (/.f64 z (*.f64 (-.f64 z y) (+.f64 z y)))))
(fma.f64 (*.f64 y (+.f64 z y)) (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 z (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 z y)))))
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(*.f64 (/.f64 (fma.f64 (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) (fma.f64 (+.f64 y x) (fma.f64 z (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) (fma.f64 (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) (fma.f64 (+.f64 y x) (fma.f64 z (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (+.f64 y x) (fma.f64 z (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) (fma.f64 (+.f64 y x) (fma.f64 z (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) (fma.f64 (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) (fma.f64 (+.f64 y x) (fma.f64 z (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 (+.f64 y x) (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (+.f64 y x) (fma.f64 z (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (+.f64 y x) (fma.f64 z (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 z (+.f64 y x) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (+.f64 y x) (fma.f64 z (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (*.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))))) (fma.f64 z (*.f64 x (fma.f64 z x #s(literal 0 binary64))) (*.f64 (*.f64 z y) (-.f64 (*.f64 z y) (fma.f64 z x #s(literal 0 binary64))))))
(*.f64 (/.f64 (fma.f64 (+.f64 y x) (fma.f64 z (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) (*.f64 z (-.f64 x y)))) (*.f64 z (-.f64 x y)))
(*.f64 (/.f64 (fma.f64 (+.f64 y x) (fma.f64 z (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 z (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (/.f64 (fma.f64 (+.f64 y x) (fma.f64 z (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) (-.f64 x y))) (-.f64 x y))
(*.f64 (/.f64 (fma.f64 (+.f64 y x) (fma.f64 z (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) z)) (fma.f64 y y (*.f64 x (-.f64 x y))))
(*.f64 (/.f64 (fma.f64 (+.f64 y x) (fma.f64 z (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z))) (-.f64 x y))
(*.f64 (/.f64 (*.f64 z (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 z (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (fma.f64 z (+.f64 y x) #s(literal 0 binary64)) (-.f64 x y)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) z) (fma.f64 (*.f64 y (-.f64 y x)) (*.f64 (*.f64 y (-.f64 y x)) (*.f64 y (-.f64 y x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 y (-.f64 y x)) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) z) (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 y x))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x)))

simplify407.0ms (4.7%)

Memory
14.6MiB live, 561.1MiB allocated
Algorithm
egg-herbie
Rules
10 880×accelerator-lowering-fma.f32
10 880×accelerator-lowering-fma.f64
4 488×*-lowering-*.f32
4 488×*-lowering-*.f64
2 564×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03802433
111892329
232672145
082962038
Stop Event
iter limit
node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* -1 (/ z y))
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y)))
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
1
(+ 1 (/ y z))
(- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z)))
(- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2)))))
1
(+ 1 (/ y z))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z)))
1
(+ 1 (/ y z))
(+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))
(+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))
(* -1 (/ z y))
(/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y)
(/ (- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) y)
(/ (- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) y)
(* -1 (/ z y))
(* -1 (/ (+ z (/ (pow z 2) y)) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y))) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (* -1 (pow z 3))) y)) (pow z 2)) y))) y))
(* -1 y)
(- z y)
(- z y)
(- z y)
z
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
z
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
z
(+ z (* -1 y))
(+ z (* -1 y))
(+ z (* -1 y))
(* -1 y)
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
x
(+ x (/ (* x y) z))
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))
x
(+ x (/ (* x y) z))
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z)))
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z)))
x
(+ x (/ (* x y) z))
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z)))))
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z)))))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y)
(* -1 (/ (* x z) y))
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
1
1
1
1
1
1
1
1
1
1
1
1
z
z
z
z
z
z
z
z
z
z
z
z
(/ y z)
(* y (+ (/ 1 z) (/ y (pow z 2))))
(* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)))
(* y (+ (* y (+ (* y (+ (/ 1 (pow z 3)) (/ y (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z)))
-1
(- (* -1 (/ z y)) 1)
(- (* -1 (/ (pow z 2) (pow y 2))) (+ 1 (/ z y)))
(- (* -1 (/ (pow z 3) (pow y 3))) (+ 1 (+ (/ z y) (/ (pow z 2) (pow y 2)))))
-1
(- (* -1 (/ z y)) 1)
(- (* -1 (/ (- (/ (pow z 2) y) (* -1 z)) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y)) (* -1 z)) y)) 1)
-1
(- (* -1 (/ z y)) 1)
(- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)
(- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)
(/ y z)
(/ (+ y (/ (pow y 2) z)) z)
(/ (- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) z)
(/ (- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) z)
(/ y z)
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) z) (pow y 2)) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) z)) (* -1 (pow y 3))) z)) (pow y 2)) z))) z))
y
(* y (+ 1 (/ y z)))
(* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2))))))
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)))))
(* -1 z)
(+ (* -1 z) (* -1 (/ (pow z 2) y)))
(- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y))
(- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2))))
(* -1 z)
(+ (* -1 z) (* -1 (/ (pow z 2) y)))
(+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y)))
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y)))
(* -1 z)
(* z (- (* -1 (/ z y)) 1))
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1))
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1))
y
(+ y (/ (pow y 2) z))
(- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z)))
(- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2)))))
y
(+ y (/ (pow y 2) z))
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z)))
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z)))
(* -1 (/ (* z (+ x y)) y))
(* -1 (/ (* z (+ x y)) y))
(* -1 (/ (* z (+ x y)) y))
(* -1 (/ (* z (+ x y)) y))
(* -1 (/ (* z (+ x y)) y))
(* -1 (/ (* z (+ x y)) y))
(* -1 (/ (* z (+ x y)) y))
(* -1 (/ (* z (+ x y)) y))
(* -1 (/ (* z (+ x y)) y))
(* -1 (/ (* z (+ x y)) y))
(* -1 (/ (* z (+ x y)) y))
(* -1 (/ (* z (+ x y)) y))
(* -1 z)
(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(* -1 (/ (* x z) y))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(* x (+ (* -1 (/ z x)) (* -1 (/ z y))))
(* -1 (/ (* x z) y))
(* -1 (* x (+ (/ z x) (/ z y))))
(* -1 (* x (+ (/ z x) (/ z y))))
(* -1 (* x (+ (/ z x) (/ z y))))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y)
(* -1 z)
(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(* -1 z)
(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x y)))
(* -1 (* y z))
(- (* -1 (* x z)) (* y z))
(- (* -1 (* x z)) (* y z))
(- (* -1 (* x z)) (* y z))
(* -1 (* x z))
(* x (- (* -1 (/ (* y z) x)) z))
(* x (- (* -1 (/ (* y z) x)) z))
(* x (- (* -1 (/ (* y z) x)) z))
(* -1 (* x z))
(* -1 (* x (- (/ (* y z) x) (* -1 z))))
(* -1 (* x (- (/ (* y z) x) (* -1 z))))
(* -1 (* x (- (/ (* y z) x) (* -1 z))))
(* -1 (* x z))
(- (* -1 (* y z)) (* x z))
(- (* -1 (* y z)) (* x z))
(- (* -1 (* y z)) (* x z))
(* -1 (* y z))
(* y (- (* -1 (/ (* x z) y)) z))
(* y (- (* -1 (/ (* x z) y)) z))
(* y (- (* -1 (/ (* x z) y)) z))
(* -1 (* y z))
(* -1 (* y (- (/ (* x z) y) (* -1 z))))
(* -1 (* y (- (/ (* x z) y) (* -1 z))))
(* -1 (* y (- (/ (* x z) y) (* -1 z))))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* z (+ x y))
(* y z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(* x z)
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
(* x (+ z (/ (* y z) x)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* x z)
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(+ (* x z) (* y z))
(* y z)
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
(* y (+ z (/ (* x z) y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
Outputs
(* -1 (/ z y))
(/.f64 z (-.f64 #s(literal 0 binary64) y))
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y)))
(/.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z y))) y)
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 z (fma.f64 z (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)))
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(*.f64 z (fma.f64 z (fma.f64 z (/.f64 z (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)))
1
#s(literal 1 binary64)
(+ 1 (/ y z))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z)))
(fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2)))))
(fma.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y z))
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(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+ (* -1 z) (* -1 (/ (* x z) y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* y z))
(*.f64 y (-.f64 #s(literal 0 binary64) z))
(- (* -1 (* x z)) (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(- (* -1 (* x z)) (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(- (* -1 (* x z)) (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* x z))
(*.f64 z (-.f64 #s(literal 0 binary64) x))
(* x (- (* -1 (/ (* y z) x)) z))
(*.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* x (- (* -1 (/ (* y z) x)) z))
(*.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* x (- (* -1 (/ (* y z) x)) z))
(*.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* -1 (* x z))
(*.f64 z (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (/ (* y z) x) (* -1 z))))
(*.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* -1 (* x (- (/ (* y z) x) (* -1 z))))
(*.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* -1 (* x (- (/ (* y z) x) (* -1 z))))
(*.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* -1 (* x z))
(*.f64 z (-.f64 #s(literal 0 binary64) x))
(- (* -1 (* y z)) (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(- (* -1 (* y z)) (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(- (* -1 (* y z)) (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 y x)))
(* -1 (* y z))
(*.f64 y (-.f64 #s(literal 0 binary64) z))
(* y (- (* -1 (/ (* x z) y)) z))
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(* y (- (* -1 (/ (* x z) y)) z))
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(* y (- (* -1 (/ (* x z) y)) z))
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(* -1 (* y z))
(*.f64 y (-.f64 #s(literal 0 binary64) z))
(* -1 (* y (- (/ (* x z) y) (* -1 z))))
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(* -1 (* y (- (/ (* x z) y) (* -1 z))))
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(* -1 (* y (- (/ (* x z) y) (* -1 z))))
(*.f64 y (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(fma.f64 y (/.f64 x x) x)
(* x (+ 1 (/ y x)))
(fma.f64 y (/.f64 x x) x)
(* x (+ 1 (/ y x)))
(fma.f64 y (/.f64 x x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 y (/.f64 x x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 y (/.f64 x x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 y (/.f64 x x) x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
(* y (+ 1 (/ x y)))
(fma.f64 y (/.f64 x y) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 y (/.f64 x y) y)
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* y z)
(*.f64 z y)
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(* x z)
(*.f64 z x)
(* x (+ z (/ (* y z) x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(* x (+ z (/ (* y z) x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(* x (+ z (/ (* y z) x)))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(* x z)
(*.f64 z x)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(* x z)
(*.f64 z x)
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(* y z)
(*.f64 z y)
(* y (+ z (/ (* x z) y)))
(*.f64 y (fma.f64 z (/.f64 x y) z))
(* y (+ z (/ (* x z) y)))
(*.f64 y (fma.f64 z (/.f64 x y) z))
(* y (+ z (/ (* x z) y)))
(*.f64 y (fma.f64 z (/.f64 x y) z))
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 y (fma.f64 z (/.f64 x y) z))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 y (fma.f64 z (/.f64 x y) z))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 y (fma.f64 z (/.f64 x y) z))

eval463.0ms (5.3%)

Memory
-148.3MiB live, 411.2MiB allocated
Compiler

Compiled 46 160 to 4 226 computations (90.8% saved)

prune264.0ms (3%)

Memory
-25.6MiB live, 460.0MiB allocated
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New1 89671 903
Fresh2810
Picked235
Done022
Total1 900201 920
Accuracy
100.0%
Counts
1 920 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.4%
(fma.f64 y (/.f64 y z) y)
38.1%
(fma.f64 y (/.f64 x z) x)
3.4%
(/.f64 (fma.f64 z z #s(literal 0 binary64)) z)
39.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x y))) y)
43.6%
(/.f64 (*.f64 z x) (-.f64 z y))
52.8%
(/.f64 z (/.f64 (-.f64 z y) x))
35.2%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
43.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 z x)))
55.0%
(+.f64 y x)
35.8%
(*.f64 (/.f64 z (-.f64 z y)) y)
16.2%
(*.f64 (/.f64 y z) z)
53.2%
(*.f64 (/.f64 x (-.f64 z y)) z)
37.2%
(*.f64 (/.f64 x z) z)
53.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) z)
43.5%
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
55.5%
(*.f64 x (/.f64 z (-.f64 z y)))
28.5%
(neg.f64 z)
3.3%
z
17.8%
y
40.2%
x
Compiler

Compiled 303 to 195 computations (35.6% saved)

simplify483.0ms (5.6%)

Memory
1.2MiB live, 290.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 z x)
cost-diff0
(-.f64 z y)
cost-diff0
(/.f64 (*.f64 z x) (-.f64 z y))
cost-diff0
(/.f64 y z)
cost-diff0
(fma.f64 y (/.f64 y z) y)
cost-diff0
(/.f64 y z)
cost-diff1024
(*.f64 (/.f64 y z) z)
cost-diff0
(+.f64 y x)
Rules
6 512×accelerator-lowering-fma.f32
6 512×accelerator-lowering-fma.f64
4 382×*-lowering-*.f32
4 382×*-lowering-*.f64
2 094×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
12440
23940
35240
46140
520140
670340
7313840
8670940
0854539
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ y x)
y
x
y
(* (/ y z) z)
(/ y z)
y
z
(+ (* y (/ y z)) y)
y
(/ y z)
z
(/ (* z x) (- z y))
(* z x)
z
x
(- z y)
y
Outputs
(+ y x)
(+.f64 y x)
y
x
y
(* (/ y z) z)
y
(/ y z)
(/.f64 y z)
y
z
(+ (* y (/ y z)) y)
(fma.f64 y (/.f64 y z) y)
y
(/ y z)
(/.f64 y z)
z
(/ (* z x) (- z y))
(fma.f64 x (/.f64 z (-.f64 z y)) #s(literal 0 binary64))
(* z x)
(fma.f64 x z #s(literal 0 binary64))
z
x
(- z y)
(-.f64 z y)
y

localize83.0ms (1%)

Memory
-4.2MiB live, 34.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 z y)
accuracy100.0%
(*.f64 z x)
accuracy81.1%
(/.f64 (*.f64 z x) (-.f64 z y))
accuracy100.0%
(/.f64 y z)
accuracy99.9%
(fma.f64 y (/.f64 y z) y)
accuracy100.0%
(/.f64 y z)
accuracy74.4%
(*.f64 (/.f64 y z) z)
accuracy100.0%
(+.f64 y x)
Samples
71.0ms256×0valid
Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-div: 52.0ms (85.7% of total)
ival-mult: 5.0ms (8.2% of total)
ival-add: 3.0ms (4.9% of total)
ival-sub: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
7 → 180
Calls
Call 1
Inputs
#<alt (+ y x)>
#<alt (* (/ y z) z)>
#<alt (/ y z)>
#<alt (+ (* y (/ y z)) y)>
#<alt (/ (* z x) (- z y))>
#<alt (- z y)>
#<alt (* z x)>
Outputs
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt y>
#<alt (* y (+ 1 (/ y z)))>
#<alt (* y (+ 1 (/ y z)))>
#<alt (* y (+ 1 (/ y z)))>
#<alt (/ (pow y 2) z)>
#<alt (* (pow y 2) (+ (/ 1 y) (/ 1 z)))>
#<alt (* (pow y 2) (+ (/ 1 y) (/ 1 z)))>
#<alt (* (pow y 2) (+ (/ 1 y) (/ 1 z)))>
#<alt (/ (pow y 2) z)>
#<alt (* (pow y 2) (+ (/ 1 y) (/ 1 z)))>
#<alt (* (pow y 2) (+ (/ 1 y) (/ 1 z)))>
#<alt (* (pow y 2) (+ (/ 1 y) (/ 1 z)))>
#<alt (/ (pow y 2) z)>
#<alt (/ (+ (* y z) (pow y 2)) z)>
#<alt (/ (+ (* y z) (pow y 2)) z)>
#<alt (/ (+ (* y z) (pow y 2)) z)>
#<alt y>
#<alt (+ y (/ (pow y 2) z))>
#<alt (+ y (/ (pow y 2) z))>
#<alt (+ y (/ (pow y 2) z))>
#<alt y>
#<alt (+ y (/ (pow y 2) z))>
#<alt (+ y (/ (pow y 2) z))>
#<alt (+ y (/ (pow y 2) z))>
#<alt (* -1 (/ (* x z) y))>
#<alt (* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))>
#<alt (* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))>
#<alt (* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))>
#<alt (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z)))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt (/ (* x z) (- z y))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z)))))>
#<alt (+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z)))))>
#<alt (* -1 (/ (* x z) y))>
#<alt (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)>
#<alt (/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y)>
#<alt (/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y)>
#<alt (* -1 (/ (* x z) y))>
#<alt (* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y))>
#<alt (* -1 y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt z>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
Calls

45 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+ (* y (/ y z)) y)
0.0ms
x
@inf
(* z x)
0.0ms
y
@inf
(+ (* y (/ y z)) y)
0.0ms
z
@-inf
(* z x)
0.0ms
y
@0
(+ (* y (/ y z)) y)

rewrite536.0ms (6.2%)

Memory
17.6MiB live, 522.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 246×*-lowering-*.f32
4 246×*-lowering-*.f64
4 032×accelerator-lowering-fma.f32
4 032×accelerator-lowering-fma.f64
2 956×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
17031
252727
3614027
0865826
Stop Event
iter limit
node limit
Counts
7 → 480
Calls
Call 1
Inputs
(+ y x)
(* (/ y z) z)
(/ y z)
(+ (* y (/ y z)) y)
(/ (* z x) (- z y))
(- z y)
(* z x)
Outputs
(+.f64 y x)
(+.f64 x y)
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
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simplify474.0ms (5.5%)

Memory
-0.5MiB live, 523.3MiB allocated
Algorithm
egg-herbie
Rules
8 744×accelerator-lowering-fma.f32
8 744×accelerator-lowering-fma.f64
4 492×*-lowering-*.f32
4 492×*-lowering-*.f64
1 436×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165927
1512882
21449838
35624838
08355797
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
y
(* y (+ 1 (/ y z)))
(* y (+ 1 (/ y z)))
(* y (+ 1 (/ y z)))
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 y) (/ 1 z)))
(* (pow y 2) (+ (/ 1 y) (/ 1 z)))
(* (pow y 2) (+ (/ 1 y) (/ 1 z)))
(/ (pow y 2) z)
(* (pow y 2) (+ (/ 1 y) (/ 1 z)))
(* (pow y 2) (+ (/ 1 y) (/ 1 z)))
(* (pow y 2) (+ (/ 1 y) (/ 1 z)))
(/ (pow y 2) z)
(/ (+ (* y z) (pow y 2)) z)
(/ (+ (* y z) (pow y 2)) z)
(/ (+ (* y z) (pow y 2)) z)
y
(+ y (/ (pow y 2) z))
(+ y (/ (pow y 2) z))
(+ y (/ (pow y 2) z))
y
(+ y (/ (pow y 2) z))
(+ y (/ (pow y 2) z))
(+ y (/ (pow y 2) z))
(* -1 (/ (* x z) y))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
x
(+ x (/ (* x y) z))
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))
x
(+ x (/ (* x y) z))
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z)))
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z)))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
(/ (* x z) (- z y))
x
(+ x (/ (* x y) z))
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z)))))
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z)))))
(* -1 (/ (* x z) y))
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y)
(* -1 (/ (* x z) y))
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y))
(* -1 y)
(- z y)
(- z y)
(- z y)
z
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
z
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
z
(+ z (* -1 y))
(+ z (* -1 y))
(+ z (* -1 y))
(* -1 y)
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
Outputs
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
y
(* y (+ 1 (/ y z)))
(fma.f64 y (/.f64 y z) y)
(* y (+ 1 (/ y z)))
(fma.f64 y (/.f64 y z) y)
(* y (+ 1 (/ y z)))
(fma.f64 y (/.f64 y z) y)
(/ (pow y 2) z)
(*.f64 y (/.f64 y z))
(* (pow y 2) (+ (/ 1 y) (/ 1 z)))
(fma.f64 y (/.f64 y z) y)
(* (pow y 2) (+ (/ 1 y) (/ 1 z)))
(fma.f64 y (/.f64 y z) y)
(* (pow y 2) (+ (/ 1 y) (/ 1 z)))
(fma.f64 y (/.f64 y z) y)
(/ (pow y 2) z)
(*.f64 y (/.f64 y z))
(* (pow y 2) (+ (/ 1 y) (/ 1 z)))
(fma.f64 y (/.f64 y z) y)
(* (pow y 2) (+ (/ 1 y) (/ 1 z)))
(fma.f64 y (/.f64 y z) y)
(* (pow y 2) (+ (/ 1 y) (/ 1 z)))
(fma.f64 y (/.f64 y z) y)
(/ (pow y 2) z)
(*.f64 y (/.f64 y z))
(/ (+ (* y z) (pow y 2)) z)
(/.f64 (*.f64 y (+.f64 y z)) z)
(/ (+ (* y z) (pow y 2)) z)
(/.f64 (*.f64 y (+.f64 y z)) z)
(/ (+ (* y z) (pow y 2)) z)
(/.f64 (*.f64 y (+.f64 y z)) z)
y
(+ y (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) y)
(+ y (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) y)
(+ y (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) y)
y
(+ y (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) y)
(+ y (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) y)
(+ y (/ (pow y 2) z))
(fma.f64 y (/.f64 y z) y)
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x z #s(literal 0 binary64)) y))
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))))
(*.f64 z (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 z y))))
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))))
(*.f64 z (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (*.f64 y y))) z)))
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))))
(*.f64 z (fma.f64 z (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 z z))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (/.f64 x y))))
x
(+ x (/ (* x y) z))
(fma.f64 x (/.f64 y z) x)
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z)))
(fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x)
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))
(fma.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 x (*.f64 z z))) (/.f64 x z)) x)
x
(+ x (/ (* x y) z))
(fma.f64 x (/.f64 y z) x)
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z)))
(fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x)
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z)))
(fma.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 x (*.f64 z z))) (/.f64 x z)) x)
(/ (* x z) (- z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/ (* x z) (- z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/ (* x z) (- z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/ (* x z) (- z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/ (* x z) (- z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/ (* x z) (- z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/ (* x z) (- z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/ (* x z) (- z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/ (* x z) (- z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/ (* x z) (- z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/ (* x z) (- z y))
(*.f64 x (/.f64 z (-.f64 z y)))
(/ (* x z) (- z y))
(*.f64 x (/.f64 z (-.f64 z y)))
x
(+ x (/ (* x y) z))
(fma.f64 x (/.f64 y z) x)
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z)))))
(fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x)
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z)))))
(fma.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 x (*.f64 z z))) (/.f64 x z)) x)
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x z #s(literal 0 binary64)) y))
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y)
(*.f64 z (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 z y))))
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y)
(/.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 z y) (fma.f64 z (/.f64 z y) z)))) y)
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y)
(/.f64 (fma.f64 x z (/.f64 (fma.f64 x (*.f64 z z) (/.f64 (*.f64 x (fma.f64 z (*.f64 z z) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (* x z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x z #s(literal 0 binary64)) y))
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))
(*.f64 z (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 z y))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y))
(/.f64 (*.f64 x (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 z y) (fma.f64 z (/.f64 z y) z)))) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y))
(/.f64 (fma.f64 x z (/.f64 (fma.f64 x (*.f64 z z) (/.f64 (*.f64 x (fma.f64 z (*.f64 z z) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
z
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
z
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
z
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))

eval86.0ms (1%)

Memory
-10.8MiB live, 188.9MiB allocated
Compiler

Compiled 11 961 to 1 164 computations (90.3% saved)

prune86.0ms (1%)

Memory
-7.1MiB live, 231.3MiB allocated
Pruning

22 alts after pruning (12 fresh and 10 done)

PrunedKeptTotal
New7083711
Fresh1910
Picked055
Done055
Total70922731
Accuracy
100.0%
Counts
731 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.4%
(fma.f64 y (/.f64 y z) y)
38.1%
(fma.f64 y (/.f64 x z) x)
3.4%
(/.f64 (fma.f64 z z #s(literal 0 binary64)) z)
39.1%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x y))) y)
43.6%
(/.f64 (*.f64 z x) (-.f64 z y))
27.4%
(/.f64 (*.f64 z x) z)
52.8%
(/.f64 z (/.f64 (-.f64 z y) x))
35.2%
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
43.5%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 z x)))
55.0%
(+.f64 y x)
35.8%
(*.f64 (/.f64 z (-.f64 z y)) y)
16.2%
(*.f64 (/.f64 y z) z)
53.2%
(*.f64 (/.f64 x (-.f64 z y)) z)
37.2%
(*.f64 (/.f64 x z) z)
43.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 x z))
43.5%
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
2.8%
(*.f64 y (/.f64 y z))
55.5%
(*.f64 x (/.f64 z (-.f64 z y)))
28.5%
(neg.f64 z)
3.3%
z
17.8%
y
40.2%
x
Compiler

Compiled 389 to 182 computations (53.2% saved)

regimes44.0ms (0.5%)

Memory
18.4MiB live, 94.0MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 y (/.f64 y z))
(*.f64 (/.f64 x z) z)
(*.f64 (/.f64 y z) z)
(*.f64 (/.f64 z z) z)
(/.f64 (*.f64 z x) z)
(/.f64 (fma.f64 z z #s(literal 0 binary64)) z)
(fma.f64 x (/.f64 y z) x)
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 y z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (/.f64 x (-.f64 z y)) z)
(*.f64 (/.f64 y (-.f64 z y)) z)
(*.f64 (/.f64 z (-.f64 z y)) y)
(/.f64 (*.f64 z x) (-.f64 z y))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z y) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x y))) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 x z))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 z (/.f64 (-.f64 z y) x))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))
Outputs
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Calls

4 calls:

12.0ms
z
11.0ms
x
9.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
9.0ms
y
Results
AccuracySegmentsBranch
87.3%1x
96.3%3y
93.7%3z
99.9%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes39.0ms (0.4%)

Memory
10.8MiB live, 86.6MiB allocated
Counts
29 → 4
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 y (/.f64 y z))
(*.f64 (/.f64 x z) z)
(*.f64 (/.f64 y z) z)
(*.f64 (/.f64 z z) z)
(/.f64 (*.f64 z x) z)
(/.f64 (fma.f64 z z #s(literal 0 binary64)) z)
(fma.f64 x (/.f64 y z) x)
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 y z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (/.f64 x (-.f64 z y)) z)
(*.f64 (/.f64 y (-.f64 z y)) z)
(*.f64 (/.f64 z (-.f64 z y)) y)
(/.f64 (*.f64 z x) (-.f64 z y))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z y) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x y))) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 x z))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 z (/.f64 (-.f64 z y) x))
Outputs
(+.f64 y x)
(*.f64 x (/.f64 z (-.f64 z y)))
(-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y))
(+.f64 y x)
Calls

4 calls:

11.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
9.0ms
z
9.0ms
y
8.0ms
x
Results
AccuracySegmentsBranch
74.4%5x
81.1%4z
79.9%4y
74.2%4(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory
-20.8MiB live, 23.6MiB allocated
Counts
25 → 4
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 y (/.f64 y z))
(*.f64 (/.f64 x z) z)
(*.f64 (/.f64 y z) z)
(*.f64 (/.f64 z z) z)
(/.f64 (*.f64 z x) z)
(/.f64 (fma.f64 z z #s(literal 0 binary64)) z)
(fma.f64 x (/.f64 y z) x)
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 y z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (/.f64 x (-.f64 z y)) z)
(*.f64 (/.f64 y (-.f64 z y)) z)
(*.f64 (/.f64 z (-.f64 z y)) y)
(/.f64 (*.f64 z x) (-.f64 z y))
(-.f64 #s(literal 0 binary64) (fma.f64 z (/.f64 z y) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x y))) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) z)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 x z))
Outputs
(+.f64 y x)
(*.f64 x (/.f64 z (-.f64 z y)))
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 y x)
Calls

1 calls:

10.0ms
z
Results
AccuracySegmentsBranch
80.0%4z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes46.0ms (0.5%)

Memory
5.5MiB live, 44.5MiB allocated
Counts
16 → 4
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 y (/.f64 y z))
(*.f64 (/.f64 x z) z)
(*.f64 (/.f64 y z) z)
(*.f64 (/.f64 z z) z)
(/.f64 (*.f64 z x) z)
(/.f64 (fma.f64 z z #s(literal 0 binary64)) z)
(fma.f64 x (/.f64 y z) x)
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 y z) y)
(*.f64 x (/.f64 z (-.f64 z y)))
Outputs
(neg.f64 z)
(*.f64 x (/.f64 z (-.f64 z y)))
(+.f64 y x)
(neg.f64 z)
Calls

4 calls:

29.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
5.0ms
x
5.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
70.0%4x
70.1%4(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
71.1%4y
71.3%5z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
(+.f64 y x)
(-.f64 #s(literal 0 binary64) z)
(*.f64 y (/.f64 y z))
(*.f64 (/.f64 x z) z)
(*.f64 (/.f64 y z) z)
(*.f64 (/.f64 z z) z)
(/.f64 (*.f64 z x) z)
(/.f64 (fma.f64 z z #s(literal 0 binary64)) z)
(fma.f64 x (/.f64 y z) x)
(fma.f64 y (/.f64 x z) x)
(fma.f64 y (/.f64 y z) y)
Outputs
(neg.f64 z)
(+.f64 y x)
(neg.f64 z)
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
69.4%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.3%)

Memory
-24.5MiB live, 14.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
x
y
z
(neg.f64 z)
Outputs
(neg.f64 z)
x
(neg.f64 z)
Calls

4 calls:

23.0ms
z
2.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
51.9%3z
47.9%4x
51.1%3(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
58.7%3y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
y
z
Outputs
x
y
x
Calls

4 calls:

2.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
Results
AccuracySegmentsBranch
46.1%3x
40.2%1(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
40.2%1z
44.6%3y
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
40.2%1y
40.2%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
1.0749995300459424e-262
0.0ms
-1.103469158358651e-283
-3.7715975588828496e-285
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch48.0ms (0.6%)

Memory
-44.8MiB live, 65.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.056081114661019e-61
2.2029140931656556e-51
9.0ms
-1.2687538588174192e-155
-2.9194675719772646e-157
14.0ms
-6.783838317542162e+73
-1.5782876901483954e+63
Samples
22.0ms432×0valid
Compiler

Compiled 597 to 403 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 6.0ms (54.7% of total)
ival-sub: 2.0ms (18.2% of total)
ival-add: 2.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch44.0ms (0.5%)

Memory
-1.4MiB live, 74.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.056081114661019e-61
2.2029140931656556e-51
13.0ms
-2.9194675719772646e-157
-1.3127283993913071e-164
13.0ms
-6.783838317542162e+73
-1.5782876901483954e+63
Samples
24.0ms464×0valid
Compiler

Compiled 573 to 399 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 6.0ms (50.3% of total)
ival-add: 3.0ms (25.1% of total)
ival-sub: 2.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch53.0ms (0.6%)

Memory
21.6MiB live, 57.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
5.13443751906534e+95
9.109404844652075e+97
31.0ms
3.0249802242989088e-227
2.4862789513551222e-222
10.0ms
-1.8552326803595184e+188
-1.3169841237138493e+185
Samples
38.0ms384×0valid
Compiler

Compiled 404 to 288 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sub: 21.0ms (72% of total)
ival-div: 5.0ms (17.1% of total)
ival-add: 2.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory
0.5MiB live, 44.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
5.13443751906534e+95
9.109404844652075e+97
25.0ms
-8.540741933953136e+72
-1.668443563796087e+67
Samples
13.0ms256×0valid
Compiler

Compiled 223 to 174 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (60.4% of total)
ival-add: 2.0ms (30.2% of total)
ival-sub: 1.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Memory
-15.4MiB live, 58.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
8.344351083137952e-51
2.5815305559211354e-38
13.0ms
-5.22317119243542e-17
-1.028158442635441e-19
Samples
17.0ms288×0valid
Compiler

Compiled 213 to 176 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 7.0ms (65.8% of total)
ival-sub: 2.0ms (18.8% of total)
ival-add: 2.0ms (18.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
-1.9MiB live, 36.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
1.1140613230411386e-191
2.3697638648110215e-191
9.0ms
-8.358042148896301e-199
-4.216810009122032e-201
Samples
9.0ms192×0valid
Compiler

Compiled 135 to 110 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 3.0ms (62% 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)

simplify15.0ms (0.2%)

Memory
28.6MiB live, 28.6MiB allocated
Algorithm
egg-herbie
Rules
32×+-commutative_binary64
26×sub-neg_binary64
24×*-commutative_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073175
1104175
2128175
3150175
4164175
5171175
6172175
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -8371160993642713/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 z #s(literal -3500000000000000293846712132725826783607127456880330262100049920 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal -4540831589545279/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (if (<=.f64 z #s(literal 6183964726724345/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y)) (+.f64 y x))))
(if (<=.f64 z #s(literal -15499999999999999807248908482079906803750326892224135638178324283392 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal -7667242445666241/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (if (<=.f64 z #s(literal 1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (+.f64 y x))))
(if (<=.f64 y #s(literal -131999999999999992478777926503917471716951223981438917699268277569339447710150002210375703024621739360133323276291881066613103248775480722814145784645715866057132927018490057949941071872 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 7683844756638895/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (if (<=.f64 y #s(literal 1199999999999999964977105263081244329422971263409020468491100078641636017795514159178915017392128 binary64)) (+.f64 y x) (neg.f64 z))))
(if (<=.f64 y #s(literal -8500000000000000405032824603505836118894292735252769282518787460234739712 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 6400000000000000129400826413798060726887016468571889543281771879731225631988251579895666096209920 binary64)) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y #s(literal -2466341007804043/2596148429267413814265248164610048 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 7898421875141789/822752278660603021077484591278675252491367932816789931674304512 binary64)) x (neg.f64 z)))
(if (<=.f64 x #s(literal -6032744662767799/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048 binary64)) x (if (<=.f64 x #s(literal 3788427956437427/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) y x))
x
Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -8371160993642713/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -8371160993642713/83711609936427134449095706957812641450109750914494813081542999091433675869135634569781123344976238916218333821683839595717745725444712034656129512302332615655738810740814304573602145352049774545921517048070675585809233916151552871555980812078727054020087472481926110684847108059786128022165669281792 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (-.f64 (/.f64 (*.f64 z (+.f64 x z)) (-.f64 #s(literal 0 binary64) y)) z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 z #s(literal -3500000000000000293846712132725826783607127456880330262100049920 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal -4540831589545279/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (if (<=.f64 z #s(literal 6183964726724345/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z (+.f64 z x)) y)) (+.f64 y x))))
(if (<=.f64 z #s(literal -3500000000000000293846712132725826783607127456880330262100049920 binary64)) (+.f64 x y) (if (<=.f64 z #s(literal -4540831589545279/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (if (<=.f64 z #s(literal 6183964726724345/220855883097298041197912187592864814478435487109452369765200775161577472 binary64)) (-.f64 (/.f64 (*.f64 z (+.f64 x z)) (-.f64 #s(literal 0 binary64) y)) z) (+.f64 x y))))
(if (<=.f64 z #s(literal -15499999999999999807248908482079906803750326892224135638178324283392 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal -7667242445666241/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (*.f64 x (/.f64 z (-.f64 z y))) (if (<=.f64 z #s(literal 1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (+.f64 y x))))
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(if (<=.f64 x #s(literal -6032744662767799/10772758326371068942829547280138503507047095916181860064252479289484763452000421523688789066296501148112861120217452989876263797248376430311685764650295051980708298078471054537096527376147092924971608579554880258048 binary64)) x (if (<=.f64 x #s(literal 3788427956437427/321053216647239593947814323906257853121968982105906607635393121525191171526921436896586092302098904493834409720225721295960658706676257560005359788247795462033399882271023229870096664909931806474077957259264 binary64)) y x))
x

soundness858.0ms (9.9%)

Memory
-9.8MiB live, 592.5MiB allocated
Rules
17 244×accelerator-lowering-fma.f32
17 244×accelerator-lowering-fma.f64
10 880×accelerator-lowering-fma.f32
10 880×accelerator-lowering-fma.f64
4 980×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181958
1589915
21842852
37158833
08263790
03802433
111892329
232672145
082962038
01873
114371
2139271
0864570
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 377 to 194 computations (48.5% saved)

preprocess96.0ms (1.1%)

Memory
18.7MiB live, 171.2MiB allocated
Compiler

Compiled 488 to 196 computations (59.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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