Statistics.Distribution.CauchyLorentz:$cdensity from math-functions-0.1.5.2

Time bar (total: 11.3s)

analyze60.0ms (0.5%)

Memory
13.8MiB live, 90.6MiB 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
37.5%37.4%62.4%0.1%0%0%0%5
56.3%56.2%43.7%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
76.6%76.5%23.4%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.1s (10.1%)

Memory
18.8MiB live, 1 122.6MiB allocated
Samples
815.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 391.0ms
ival-div: 176.0ms (45% of total)
ival-mult: 161.0ms (41.2% of total)
ival-add: 40.0ms (10.2% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess338.0ms (3%)

Memory
-33.0MiB live, 89.0MiB allocated
Algorithm
egg-herbie
Rules
1 390×unsub-neg
1 030×distribute-lft-in
930×distribute-rgt-in
678×associate-*r*
598×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035113
1130110
2342110
31158110
42701110
54268110
65145110
75395110
85504110
95517110
106018110
116322110
126356110
136372110
146376110
156376110
166376110
176376110
186436110
196460110
206460110
216636110
227304110
237330110
247334110
257334110
0911
12311
24111
39611
414711
519511
019510
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
Outputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
Call 2
Inputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(/ (/ 1 (neg x)) (* y (+ 1 (* z z))))
(/ (/ 1 x) (* (neg y) (+ 1 (* z z))))
(/ (/ 1 x) (* y (+ 1 (* (neg z) (neg z)))))
(neg (/ (/ 1 (neg x)) (* y (+ 1 (* z z)))))
(neg (/ (/ 1 x) (* (neg y) (+ 1 (* z z)))))
(neg (/ (/ 1 x) (* y (+ 1 (* (neg z) (neg z))))))
(/ (/ 1 y) (* x (+ 1 (* z z))))
(/ (/ 1 z) (* y (+ 1 (* x x))))
(/ (/ 1 x) (* z (+ 1 (* y y))))
Outputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(/ (/ 1 x) (+ y (* y (* z z))))
(/ (/ 1 (neg x)) (* y (+ 1 (* z z))))
(/ (/ -1 x) (+ y (* y (* z z))))
(/ (/ 1 x) (* (neg y) (+ 1 (* z z))))
(/ (/ -1 x) (+ y (* y (* z z))))
(/ (/ 1 x) (* y (+ 1 (* (neg z) (neg z)))))
(/ (/ 1 x) (+ y (* y (* z z))))
(neg (/ (/ 1 (neg x)) (* y (+ 1 (* z z)))))
(/ (/ 1 x) (+ y (* y (* z z))))
(neg (/ (/ 1 x) (* (neg y) (+ 1 (* z z)))))
(/ (/ 1 x) (+ y (* y (* z z))))
(neg (/ (/ 1 x) (* y (+ 1 (* (neg z) (neg z))))))
(/ (/ -1 x) (+ y (* y (* z z))))
(/ (/ 1 y) (* x (+ 1 (* z z))))
(/ (/ 1 x) (+ y (* y (* z z))))
(/ (/ 1 z) (* y (+ 1 (* x x))))
(/ (/ 1 z) (+ y (* x (* x y))))
(/ (/ 1 x) (* z (+ 1 (* y y))))
(/ 1 (* x (+ z (* z (* y y)))))
Symmetry

(abs z)

(negabs x)

(negabs y)

(sort x y)

explain112.0ms (1%)

Memory
32.4MiB live, 257.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
250-0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
50-0-(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-z
00-0-(+.f64 #s(literal 1 binary64) (*.f64 z z))
00-0-(*.f64 z z)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))n/o250
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))overflow82
(+.f64 #s(literal 1 binary64) (*.f64 z z))overflow54
(*.f64 z z)overflow54
*.f64(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))n*o50
Confusion
Predicted +Predicted -
+300
-0226
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3000
-00226
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0226
130
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
40.0ms512×0valid
Compiler

Compiled 98 to 40 computations (59.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 11.0ms (51.4% of total)
ival-div: 7.0ms (32.7% of total)
ival-add: 2.0ms (9.4% 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify25.0ms (0.2%)

Memory
-43.4MiB live, 18.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 z z))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Rules
142×*-lowering-*.f32
142×*-lowering-*.f64
72×associate-*r*
70×accelerator-lowering-fma.f32
70×accelerator-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0933
12333
24133
39633
414733
519533
019530
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(/ 1 x)
1
x
(* y (+ 1 (* z z)))
y
(+ 1 (* z z))
(* z z)
z
Outputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* y (+ 1 (* z z)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
y
(+ 1 (* z z))
(fma.f64 z z #s(literal 1 binary64))
(* z z)
(*.f64 z z)
z

localize29.0ms (0.3%)

Memory
19.9MiB live, 55.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 z z))
accuracy100.0%
(*.f64 z z)
accuracy98.1%
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
accuracy91.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Samples
19.0ms256×0valid
Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 7.0ms (60.8% of total)
ival-mult: 3.0ms (26% of total)
ival-add: 1.0ms (8.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-0.2MiB live, 32.5MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (/ (/ 1 x) (* y (+ 1 (* z z))))>
#<alt (+ 1 (* z z))>
#<alt (/ 1 x)>
#<alt (* y (+ 1 (* z z)))>
#<alt (* z z)>
Outputs
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt 1>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt (* y (+ 1 (pow z 2)))>
#<alt y>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (+ y (* y (pow z 2)))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* y (pow z 2))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (* (pow z 2) (+ y (/ y (pow z 2))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
Calls

24 calls:

TimeVariablePointExpression
7.0ms
z
@0
(/ (/ 1 x) (* y (+ 1 (* z z))))
2.0ms
x
@0
(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms
y
@0
(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms
x
@-inf
(/ (/ 1 x) (* y (+ 1 (* z z))))
1.0ms
y
@inf
(/ (/ 1 x) (* y (+ 1 (* z z))))

rewrite392.0ms (3.5%)

Memory
10.9MiB live, 811.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 616×/-lowering-/.f32
4 616×/-lowering-/.f64
4 020×*-lowering-*.f32
4 020×*-lowering-*.f64
3 572×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
15329
235529
3274629
0907126
Stop Event
iter limit
node limit
Counts
5 → 437
Calls
Call 1
Inputs
(/ (/ 1 x) (* y (+ 1 (* z z))))
(+ 1 (* z z))
(/ 1 x)
(* y (+ 1 (* z z)))
(* z z)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 x y)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 x y))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(+.f64 (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 (log.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64)) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64))) (*.f64 x y)) (/.f64 (/.f64 (*.f64 z z) (fma.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64))) (*.f64 x y)))
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 1 binary64)) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (*.f64 x y)) (/.f64 (/.f64 (*.f64 z z) (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (*.f64 x y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64)) (*.f64 x y)))))
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(*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64)))) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (fma.f64 z z #s(literal -1 binary64))))))
(*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64))) (fma.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64))) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z))))))) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) #s(literal 0 binary64)) #s(literal 1 binary64)))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
(*.f64 (*.f64 z z) #s(literal 1 binary64))

simplify456.0ms (4%)

Memory
-6.7MiB live, 908.2MiB allocated
Algorithm
egg-herbie
Rules
18 180×accelerator-lowering-fma.f32
18 180×accelerator-lowering-fma.f64
3 734×*-lowering-*.f32
3 734×*-lowering-*.f64
2 644×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052814
1135812
2389807
31483790
43946754
57664754
08189693
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
(* y (+ 1 (pow z 2)))
y
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(+ y (* y (pow z 2)))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* y (pow z 2))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(* (pow z 2) (+ y (/ y (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(fma.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y))) (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal 1 binary64)) #s(literal 0 binary64))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (fma.f64 z z #s(literal -1 binary64)))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64))) (*.f64 z z))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (fma.f64 z z #s(literal -1 binary64)))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z (*.f64 z (*.f64 y (*.f64 z z)))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64))) (*.f64 z z))
1
#s(literal 1 binary64)
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(+ 1 (pow z 2))
(fma.f64 z z #s(literal 1 binary64))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(fma.f64 z z #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (+ 1 (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
y
(+ y (* y (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(+ y (* y (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(+ y (* y (pow z 2)))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(* (pow z 2) (+ y (/ y (pow z 2))))
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)

eval62.0ms (0.5%)

Memory
-12.6MiB live, 150.2MiB allocated
Compiler

Compiled 15 500 to 1 506 computations (90.3% saved)

prune71.0ms (0.6%)

Memory
33.1MiB live, 194.8MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New51815533
Fresh000
Picked101
Done000
Total51915534
Accuracy
95.9%
Counts
534 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
89.1%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) x)
93.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
91.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))
93.8%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
91.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
48.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
62.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
42.3%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) y)))
89.0%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
49.0%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
62.8%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
91.4%
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (*.f64 x y))))
92.3%
(*.f64 (pow.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
92.3%
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
Compiler

Compiled 444 to 268 computations (39.6% saved)

simplify12.0ms (0.1%)

Memory
-13.2MiB live, 26.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 z z #s(literal 1 binary64))
cost-diff0
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 y (*.f64 z z))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 y (*.f64 z z))
cost-diff0
(*.f64 x (*.f64 y (*.f64 z z)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x y))
cost-diff0
(fma.f64 z z #s(literal 1 binary64))
cost-diff0
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
Rules
146×associate-/r*
142×/-lowering-/.f32
142×/-lowering-/.f64
142×*-lowering-*.f32
142×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018129
144129
291129
3202129
4236129
5248129
0248122
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (/ 1 y) (* x (+ (* z z) 1)))
(/ 1 y)
1
y
(* x (+ (* z z) 1))
x
(+ (* z z) 1)
z
(/ 1 (* x y))
1
(* x y)
x
y
(/ 1 (* x (* y (* z z))))
1
(* x (* y (* z z)))
x
(* y (* z z))
y
(* z z)
z
(/ (/ 1 x) (* y (* z z)))
(/ 1 x)
1
x
(* y (* z z))
y
(* z z)
z
(/ (/ 1 (* x (+ (* z z) 1))) y)
(/ 1 (* x (+ (* z z) 1)))
1
(* x (+ (* z z) 1))
x
(+ (* z z) 1)
z
y
Outputs
(/ (/ 1 y) (* x (+ (* z z) 1)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(* x (+ (* z z) 1))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(+ (* z z) 1)
(fma.f64 z z #s(literal 1 binary64))
z
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
1
#s(literal 1 binary64)
(* x y)
(*.f64 y x)
x
y
(/ 1 (* x (* y (* z z))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 x z))))
1
#s(literal 1 binary64)
(* x (* y (* z z)))
(*.f64 y (*.f64 z (*.f64 x z)))
x
(* y (* z z))
(*.f64 y (*.f64 z z))
y
(* z z)
(*.f64 z z)
z
(/ (/ 1 x) (* y (* z z)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 x z))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* y (* z z))
(*.f64 y (*.f64 z z))
y
(* z z)
(*.f64 z z)
z
(/ (/ 1 (* x (+ (* z z) 1))) y)
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (+ (* z z) 1)))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(* x (+ (* z z) 1))
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
x
(+ (* z z) 1)
(fma.f64 z z #s(literal 1 binary64))
z
y

localize114.0ms (1%)

Memory
-7.9MiB live, 150.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
accuracy99.0%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
accuracy91.5%
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(*.f64 z z)
accuracy90.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
accuracy88.3%
(*.f64 y (*.f64 z z))
accuracy100.0%
(*.f64 z z)
accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
accuracy91.0%
(*.f64 x (*.f64 y (*.f64 z z)))
accuracy88.3%
(*.f64 y (*.f64 z z))
accuracy100.0%
(*.f64 x y)
accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.0%
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
accuracy91.5%
(*.f64 x (fma.f64 z z #s(literal 1 binary64)))
Samples
61.0ms256×0valid
Compiler

Compiled 124 to 20 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 36.0ms (78.4% of total)
ival-mult: 8.0ms (17.4% of total)
ival-add: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
14.3MiB live, 52.3MiB allocated
Counts
14 → 348
Calls
Call 1
Inputs
#<alt (/ (/ 1 y) (* x (+ (* z z) 1)))>
#<alt (/ 1 y)>
#<alt (* x (+ (* z z) 1))>
#<alt (+ (* z z) 1)>
#<alt (/ 1 (* x y))>
#<alt (* x y)>
#<alt (/ 1 (* x (* y (* z z))))>
#<alt (* x (* y (* z z)))>
#<alt (* y (* z z))>
#<alt (* z z)>
#<alt (/ (/ 1 x) (* y (* z z)))>
#<alt (/ 1 x)>
#<alt (/ (/ 1 (* x (+ (* z z) 1))) y)>
#<alt (/ 1 (* x (+ (* z z) 1)))>
Outputs
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt x>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt 1>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (pow z 2) x)) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
Calls

87 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/ 1 (* x (+ (* z z) 1)))
2.0ms
y
@0
(/ 1 (* x y))
1.0ms
x
@0
(/ 1 (* x (* y (* z z))))
1.0ms
y
@0
(/ 1 (* x (* y (* z z))))
1.0ms
z
@0
(/ 1 (* x (* y (* z z))))

rewrite295.0ms (2.6%)

Memory
-22.7MiB live, 549.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 476×*-lowering-*.f32
3 476×*-lowering-*.f64
2 660×/-lowering-/.f32
2 660×/-lowering-/.f64
2 118×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01890
110890
268786
3532286
0806581
Stop Event
iter limit
node limit
Counts
14 → 1 013
Calls
Call 1
Inputs
(/ (/ 1 y) (* x (+ (* z z) 1)))
(/ 1 y)
(* x (+ (* z z) 1))
(+ (* z z) 1)
(/ 1 (* x y))
(* x y)
(/ 1 (* x (* y (* z z))))
(* x (* y (* z z)))
(* y (* z z))
(* z z)
(/ (/ 1 x) (* y (* z z)))
(/ 1 x)
(/ (/ 1 (* x (+ (* z z) 1))) y)
(/ 1 (* x (+ (* z z) 1)))
Outputs
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) x))) (fma.f64 z z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) x))) (*.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
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(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) x))) (+.f64 #s(literal 1 binary64) z)) (+.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 z z))) (*.f64 x (*.f64 (*.f64 z z) (*.f64 x (*.f64 z z))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))

simplify587.0ms (5.2%)

Memory
26.6MiB live, 620.4MiB allocated
Algorithm
egg-herbie
Rules
15 164×accelerator-lowering-fma.f32
15 164×accelerator-lowering-fma.f64
3 686×*-lowering-*.f32
3 686×*-lowering-*.f64
2 556×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0792910
12112904
25732890
320512822
452512806
082632701
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
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(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
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(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
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x
(+ x (* x (pow z 2)))
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(* (pow z 2) (+ x (/ x (pow z 2))))
(* (pow z 2) (+ x (/ x (pow z 2))))
1
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(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 (* x y))
(/ 1 (* x y))
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(/ 1 (* x (* y (pow z 2))))
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Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
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1
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(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/ 1 (* x (+ 1 (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(fma.f64 (*.f64 z z) (/.f64 (fma.f64 z z #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/ 1 (* x (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (*.f64 z z))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (*.f64 z z))) (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64))))) (*.f64 z z))
(/ 1 (* x (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z z)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (*.f64 z z))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (*.f64 z z))) (*.f64 z z))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (*.f64 z z))) (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 z #s(literal 6 binary64))))) (*.f64 z z))

eval569.0ms (5%)

Memory
-1.3MiB live, 386.0MiB allocated
Compiler

Compiled 29 649 to 2 505 computations (91.6% saved)

prune359.0ms (3.2%)

Memory
17.2MiB live, 326.8MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1 687131 700
Fresh7310
Picked325
Done000
Total1 697181 715
Accuracy
100.0%
Counts
1 715 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
54.8%
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) y)
56.4%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y z)) (-.f64 #s(literal 0 binary64) z))
98.9%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
58.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x))) z)
48.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) x)
91.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
56.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y z))
62.5%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
62.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
42.3%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) y)))
91.4%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
58.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 y x)) z))
56.7%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))
53.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
49.0%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
62.8%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
54.1%
(*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
Compiler

Compiled 460 to 288 computations (37.4% saved)

simplify161.0ms (1.4%)

Memory
-12.1MiB live, 106.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 0 binary64) z)
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff320
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y z))
cost-diff512
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y z)) (-.f64 #s(literal 0 binary64) z))
cost-diff-64
(*.f64 y z)
cost-diff-64
(*.f64 x z)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x z))
cost-diff320
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y z))
cost-diff-64
(*.f64 x z)
cost-diff-64
(*.f64 y z)
cost-diff-64
(*.f64 (*.f64 y z) (*.f64 x z))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff320
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
cost-diff-64
(*.f64 x z)
cost-diff0
(fma.f64 (*.f64 x z) z x)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x))
cost-diff320
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
Rules
1 416×accelerator-lowering-fma.f32
1 416×accelerator-lowering-fma.f64
1 136×*-lowering-*.f32
1 136×*-lowering-*.f64
672×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022124
151124
2114124
3220124
4454124
5755124
6972124
71359124
81675124
92027124
103096124
113602124
123605124
133606124
143606124
153606124
163606124
03606121
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (/ 1 (+ (* (* x z) z) x)) y)
(/ 1 (+ (* (* x z) z) x))
1
(+ (* (* x z) z) x)
(* x z)
x
z
y
(/ (/ 1 x) y)
(/ 1 x)
1
x
y
(/ 1 (* (* y z) (* x z)))
1
(* (* y z) (* x z))
(* y z)
y
z
(* x z)
x
(/ (/ 1 (* x z)) (* y z))
(/ 1 (* x z))
1
(* x z)
x
z
(* y z)
y
(/ (/ (/ -1 x) (* y z)) (- 0 z))
(/ (/ -1 x) (* y z))
(/ -1 x)
-1
x
(* y z)
y
z
(- 0 z)
0
Outputs
(/ (/ 1 (+ (* (* x z) z) x)) y)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 z z #s(literal 1 binary64)) #s(literal 0 binary64)))
(/ 1 (+ (* (* x z) z) x))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 z z #s(literal 1 binary64)) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(+ (* (* x z) z) x)
(fma.f64 x (fma.f64 z z #s(literal 1 binary64)) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
x
z
y
(/ (/ 1 x) y)
(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
y
(/ 1 (* (* y z) (* x z)))
(/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* (* y z) (* x z))
(fma.f64 z (fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
y
z
(* x z)
(fma.f64 x z #s(literal 0 binary64))
x
(/ (/ 1 (* x z)) (* y z))
(/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x z))
(/.f64 #s(literal 1 binary64) (fma.f64 x z #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
x
z
(* y z)
(fma.f64 z y #s(literal 0 binary64))
y
(/ (/ (/ -1 x) (* y z)) (- 0 z))
(/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ (/ -1 x) (* y z))
(/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(* y z)
(fma.f64 z y #s(literal 0 binary64))
y
z
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)

localize98.0ms (0.9%)

Memory
-25.5MiB live, 120.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
accuracy100.0%
(*.f64 y z)
accuracy97.4%
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y z)) (-.f64 #s(literal 0 binary64) z))
accuracy93.3%
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y z))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 x z)
accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 x z))
accuracy93.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y z))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(*.f64 x z)
accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))
accuracy94.3%
(*.f64 (*.f64 y z) (*.f64 x z))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
accuracy100.0%
(*.f64 x z)
accuracy99.9%
(fma.f64 (*.f64 x z) z x)
accuracy99.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x))
accuracy99.0%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
Samples
53.0ms256×0valid
Compiler

Compiled 126 to 24 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 15.0ms (42.2% of total)
ival-sub: 13.0ms (36.6% of total)
ival-mult: 6.0ms (16.9% of total)
ival-add: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series63.0ms (0.6%)

Memory
-7.2MiB live, 29.7MiB allocated
Counts
15 → 396
Calls
Call 1
Inputs
#<alt (/ (/ 1 (+ (* (* x z) z) x)) y)>
#<alt (/ 1 (+ (* (* x z) z) x))>
#<alt (+ (* (* x z) z) x)>
#<alt (* x z)>
#<alt (/ (/ 1 x) y)>
#<alt (/ 1 x)>
#<alt (/ 1 (* (* y z) (* x z)))>
#<alt (* (* y z) (* x z))>
#<alt (* y z)>
#<alt (/ (/ 1 (* x z)) (* y z))>
#<alt (/ 1 (* x z))>
#<alt (/ (/ (/ -1 x) (* y z)) (- 0 z))>
#<alt (/ (/ -1 x) (* y z))>
#<alt (/ -1 x)>
#<alt (- 0 z)>
Outputs
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* y (+ x (* x (pow z 2)))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (+ 1 (pow z 2))))>
#<alt (/ -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (/ -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (/ -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (/ -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (pow z 2) x)) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
#<alt (/ 1 (* x (pow z 2)))>
#<alt (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* x (+ 1 (pow z 2)))>
#<alt (* -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (* -1 (pow z 2)) 1)))>
#<alt x>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (+ x (* x (pow z 2)))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* x (pow z 2))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<alt (* (pow z 2) (+ x (/ x (pow z 2))))>
#<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)>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<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 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
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#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x z))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
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#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
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#<alt (/ 1 (* x (* y (pow z 2))))>
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#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
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#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 (* x (* y z)))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<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)>
Calls

99 calls:

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

rewrite1.0s (9.1%)

Memory
13.3MiB live, 1 006.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 616×accelerator-lowering-fma.f32
7 616×accelerator-lowering-fma.f64
4 574×*-lowering-*.f32
4 574×*-lowering-*.f64
3 400×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02292
113592
296686
3779486
0914583
Stop Event
iter limit
node limit
Counts
15 → 3 175
Calls
Call 1
Inputs
(/ (/ 1 (+ (* (* x z) z) x)) y)
(/ 1 (+ (* (* x z) z) x))
(+ (* (* x z) z) x)
(* x z)
(/ (/ 1 x) y)
(/ 1 x)
(/ 1 (* (* y z) (* x z)))
(* (* y z) (* x z))
(* y z)
(/ (/ 1 (* x z)) (* y z))
(/ 1 (* x z))
(/ (/ (/ -1 x) (* y z)) (- 0 z))
(/ (/ -1 x) (* y z))
(/ -1 x)
(- 0 z)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))))
(pow.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))) (/.f64 (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))) (*.f64 (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (/.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64))) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (*.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))))))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))))))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x (fma.f64 z z #s(literal 1 binary64))) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))))) (*.f64 x (fma.f64 z z #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal -1 binary64))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (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)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (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)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) z)) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) z)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(*.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) z)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) z))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (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)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64))) z)
(*.f64 (/.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (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)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) z))

simplify761.0ms (6.7%)

Memory
14.1MiB live, 567.0MiB allocated
Algorithm
egg-herbie
Rules
8 736×accelerator-lowering-fma.f32
8 736×accelerator-lowering-fma.f64
3 636×*-lowering-*.f32
3 636×*-lowering-*.f64
1 796×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0922962
12452958
26442947
319612910
451152904
081402837
Stop Event
iter limit
node limit
Counts
396 → 396
Calls
Call 1
Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
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(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
(/ 1 (* y (+ x (* x (pow z 2)))))
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(/ 1 (* x (+ 1 (pow z 2))))
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(/ 1 (* x (+ 1 (pow z 2))))
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(/ -1 (* x (- (* -1 (pow z 2)) 1)))
(/ -1 (* x (- (* -1 (pow z 2)) 1)))
(/ 1 x)
(+ (* -1 (/ (pow z 2) x)) (/ 1 x))
(+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ 1 (* x (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(/ 1 (* x (pow z 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))
(* x (+ 1 (pow z 2)))
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(* x (+ 1 (pow z 2)))
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(* -1 (* x (- (* -1 (pow z 2)) 1)))
(* -1 (* x (- (* -1 (pow z 2)) 1)))
x
(+ x (* x (pow z 2)))
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(* (pow z 2) (+ x (/ x (pow z 2))))
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(* (pow z 2) (+ x (/ x (pow z 2))))
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(* x z)
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(/ 1 (* x y))
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(/ 1 (* x (* y (pow z 2))))
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(/ -1 (* x (* y z)))
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(/ -1 x)
(/ -1 x)
(* -1 z)
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(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))
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(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 (* x (* y z)))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)

eval575.0ms (5.1%)

Memory
43.3MiB live, 1 094.3MiB allocated
Compiler

Compiled 92 025 to 4 518 computations (95.1% saved)

prune431.0ms (3.8%)

Memory
-8.1MiB live, 1 084.7MiB allocated
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New3 91413 915
Fresh01111
Picked145
Done022
Total3 915183 933
Accuracy
100.0%
Counts
3 933 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
54.8%
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) y)
98.9%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
58.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x))) z)
48.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) x)
91.5%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
56.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y z))
62.5%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
62.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
56.4%
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))) (-.f64 #s(literal 0 binary64) z))
42.3%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) y)))
91.4%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
58.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 y x)) z))
56.7%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))
53.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
49.0%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
62.8%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
54.1%
(*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
Compiler

Compiled 415 to 258 computations (37.8% saved)

simplify12.0ms (0.1%)

Memory
-7.9MiB live, 31.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 y (*.f64 z z))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) x)
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 z z #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 x (*.f64 z z))
cost-diff0
(*.f64 (*.f64 x (*.f64 z z)) y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff0
(fma.f64 z z #s(literal 1 binary64))
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
Rules
142×/-lowering-/.f32
142×/-lowering-/.f64
142×*-lowering-*.f32
142×*-lowering-*.f64
138×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019127
142127
295127
3147127
4184127
5226127
6226127
0226122
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (/ 1 (* y x)) (+ (* z z) 1))
(/ 1 (* y x))
1
(* y x)
y
x
(+ (* z z) 1)
z
(/ (/ 1 y) x)
(/ 1 y)
1
y
x
(/ 1 (* (* x (* z z)) y))
1
(* (* x (* z z)) y)
(* x (* z z))
x
(* z z)
z
y
(/ 1 (* (+ (* z z) 1) (* y x)))
1
(* (+ (* z z) 1) (* y x))
(+ (* z z) 1)
z
(* y x)
y
x
(/ (/ 1 (* y (* z z))) x)
(/ 1 (* y (* z z)))
1
(* y (* z z))
y
(* z z)
z
x
Outputs
(/ (/ 1 (* y x)) (+ (* z z) 1))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* y x))
(/.f64 #s(literal 1 binary64) (*.f64 y x))
1
#s(literal 1 binary64)
(* y x)
(*.f64 y x)
y
x
(+ (* z z) 1)
(fma.f64 z z #s(literal 1 binary64))
z
(/ (/ 1 y) x)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
x
(/ 1 (* (* x (* z z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 x z))))
1
#s(literal 1 binary64)
(* (* x (* z z)) y)
(*.f64 z (*.f64 y (*.f64 x z)))
(* x (* z z))
(*.f64 x (*.f64 z z))
x
(* z z)
(*.f64 z z)
z
y
(/ 1 (* (+ (* z z) 1) (* y x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
1
#s(literal 1 binary64)
(* (+ (* z z) 1) (* y x))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(+ (* z z) 1)
(fma.f64 z z #s(literal 1 binary64))
z
(* y x)
(*.f64 y x)
y
x
(/ (/ 1 (* y (* z z))) x)
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y (*.f64 x z))))
(/ 1 (* y (* z z)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
1
#s(literal 1 binary64)
(* y (* z z))
(*.f64 y (*.f64 z z))
y
(* z z)
(*.f64 z z)
z
x

localize237.0ms (2.1%)

Memory
-5.9MiB live, 197.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 z z)
accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
accuracy90.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) x)
accuracy88.3%
(*.f64 y (*.f64 z z))
accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
accuracy100.0%
(*.f64 y x)
accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
accuracy92.2%
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))
accuracy100.0%
(*.f64 z z)
accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
accuracy91.0%
(*.f64 (*.f64 x (*.f64 z z)) y)
accuracy90.0%
(*.f64 x (*.f64 z z))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy100.0%
(fma.f64 z z #s(literal 1 binary64))
accuracy100.0%
(*.f64 y x)
accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy91.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
Samples
208.0ms256×0valid
Compiler

Compiled 124 to 21 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-div: 180.0ms (93.4% of total)
ival-mult: 11.0ms (5.7% of total)
ival-add: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-17.7MiB live, 20.3MiB allocated
Counts
15 → 396
Calls
Call 1
Inputs
#<alt (/ (/ 1 (* y x)) (+ (* z z) 1))>
#<alt (/ 1 (* y x))>
#<alt (* y x)>
#<alt (+ (* z z) 1)>
#<alt (/ (/ 1 y) x)>
#<alt (/ 1 y)>
#<alt (/ 1 (* (* x (* z z)) y))>
#<alt (* (* x (* z z)) y)>
#<alt (* x (* z z))>
#<alt (* z z)>
#<alt (/ 1 (* (+ (* z z) 1) (* y x)))>
#<alt (* (+ (* z z) 1) (* y x))>
#<alt (/ (/ 1 (* y (* z z))) x)>
#<alt (/ 1 (* y (* z z)))>
#<alt (* y (* z z))>
Outputs
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt 1>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (+ 1 (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ 1 (pow z 2))))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
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#<alt (* x (* y (pow z 2)))>
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#<alt (* x (* y (pow z 2)))>
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#<alt (* x (* y (pow z 2)))>
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#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
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#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (* y (pow z 2)))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (* x (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (/ 1 (* x y))>
#<alt (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))>
#<alt (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (/ 1 (* x (* y (+ 1 (pow z 2)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (+ (* x y) (* x (* y (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (* x (* y (+ 1 (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* x (* y (pow z 2))))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (/ 1 (* y (pow z 2)))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
#<alt (* y (pow z 2))>
Calls

99 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(/ 1 (* y (* z z)))
0.0ms
y
@0
(/ 1 (* y (* z z)))
0.0ms
y
@inf
(* (+ (* z z) 1) (* y x))
0.0ms
y
@inf
(/ 1 (* y (* z z)))
0.0ms
x
@inf
(* (+ (* z z) 1) (* y x))

rewrite336.0ms (3%)

Memory
23.9MiB live, 617.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 264×*-lowering-*.f32
3 264×*-lowering-*.f64
2 882×/-lowering-/.f32
2 882×/-lowering-/.f64
2 314×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01997
110797
263291
3567091
0802887
Stop Event
iter limit
node limit
Counts
15 → 1 146
Calls
Call 1
Inputs
(/ (/ 1 (* y x)) (+ (* z z) 1))
(/ 1 (* y x))
(* y x)
(+ (* z z) 1)
(/ (/ 1 y) x)
(/ 1 y)
(/ 1 (* (* x (* z z)) y))
(* (* x (* z z)) y)
(* x (* z z))
(* z z)
(/ 1 (* (+ (* z z) 1) (* y x)))
(* (+ (* z z) 1) (* y x))
(/ (/ 1 (* y (* z z))) x)
(/ 1 (* y (* z z)))
(* y (* z z))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64))))) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64))))) (*.f64 z (*.f64 z (*.f64 z z)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal -1 binary64))))) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)))))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)))))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)))))))
(+.f64 (*.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal -1 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal -1 binary64)))))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(fma.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal -1 binary64)))))))
(fma.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64))))) (*.f64 (*.f64 z (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64))))) (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64))))) (*.f64 z (*.f64 z (*.f64 z z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal -1 binary64))))) (*.f64 z z) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z z #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z z)) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 z (*.f64 z (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 0 binary64) (*.f64 y x))) (fma.f64 (*.f64 z z) (*.f64 z z) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
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(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 z z)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) z) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) z))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 z z)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 y (*.f64 z z))))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(neg.f64 (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))))
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y (*.f64 z z)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z))))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (*.f64 z z) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 z z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (/.f64 #s(literal 1 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 y (*.f64 z z)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(*.f64 y (*.f64 z z))
(*.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 z (*.f64 y z))
(*.f64 (*.f64 z z) y)
(*.f64 (*.f64 y (*.f64 z z)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z z))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 z z) #s(literal -1 binary64)))
(*.f64 (*.f64 y z) z)
(*.f64 (*.f64 y z) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y)) (/.f64 z #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 z z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 z z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 z (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 z (pow.f64 y #s(literal -1/2 binary64))) (/.f64 z (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 z z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y))) z)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) z)

simplify617.0ms (5.5%)

Memory
13.6MiB live, 1 075.8MiB allocated
Algorithm
egg-herbie
Rules
26 364×accelerator-lowering-fma.f32
26 364×accelerator-lowering-fma.f64
4 962×*-lowering-*.f32
4 962×*-lowering-*.f64
2 558×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0543122
11453118
24173108
316163074
443043002
088232898
Stop Event
iter limit
node limit
Counts
396 → 396
Calls
Call 1
Inputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(+ 1 (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(* (pow z 2) (+ 1 (/ 1 (pow z 2))))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
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(* x (* y (pow z 2)))
(* x (* y (pow z 2)))
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(* x (* y (pow z 2)))
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(* x (pow z 2))
(* x (pow z 2))
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(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(* x (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(/ 1 (* x y))
(+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))
(+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (pow z 2))))
(/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(* x y)
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(+ (* x y) (* x (* y (pow z 2))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* x (* y (pow z 2)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
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(* x (* y (+ 1 (pow z 2))))
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(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(* x (* y (+ 1 (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* x (* y (pow z 2))))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(/ 1 (* y (pow z 2)))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
(* y (pow z 2))
Outputs
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 (*.f64 z (*.f64 z z)) z)))) (fma.f64 z z #s(literal -1 binary64)))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 (*.f64 z (*.f64 z z)) z)))) (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 z z))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 (*.f64 z (*.f64 z z)) z)))) (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64))) (*.f64 z z))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/ 1 (* x (* y (+ 1 (pow z 2)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(* x y)
(*.f64 x y)
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(+ (* x y) (* x (* y (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (pow z 2)))
(*.f64 x (*.f64 y (*.f64 z z)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (pow z 2)))
(*.f64 x (*.f64 y (*.f64 z z)))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(* x (* y (+ 1 (pow z 2))))
(*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* x (* y (pow z 2))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(/ 1 (* y (pow z 2)))
(/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z)))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))
(* y (pow z 2))
(*.f64 y (*.f64 z z))

eval193.0ms (1.7%)

Memory
-3.3MiB live, 434.9MiB allocated
Compiler

Compiled 28 613 to 2 490 computations (91.3% saved)

prune175.0ms (1.5%)

Memory
35.7MiB live, 350.7MiB allocated
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New1 71331 716
Fresh167
Picked235
Done156
Total1 717171 734
Accuracy
100.0%
Counts
1 734 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
54.8%
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) y)
58.9%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x))) z)
48.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) x)
56.8%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y z))
62.5%
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
62.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
42.3%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) y)))
97.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
91.4%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
58.5%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) z) y))
58.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 y x)) z))
58.6%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z))
56.7%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))
49.0%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
62.8%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
54.1%
(*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
Compiler

Compiled 580 to 245 computations (57.8% saved)

regimes92.0ms (0.8%)

Memory
6.9MiB live, 188.4MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 y x)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) z) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) y)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x))) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y z))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y z)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))))) (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (/.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
Calls

8 calls:

16.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
14.0ms
(/.f64 #s(literal 1 binary64) x)
12.0ms
x
12.0ms
z
10.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
98.9%1x
98.9%1y
98.9%1z
98.9%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
98.9%1(/.f64 #s(literal 1 binary64) x)
98.9%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.9%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.9%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes88.0ms (0.8%)

Memory
-25.9MiB live, 136.1MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 y x)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) z) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) y)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x))) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 z z #s(literal 1 binary64)))) x)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z))
Calls

8 calls:

27.0ms
(/.f64 #s(literal 1 binary64) x)
17.0ms
(*.f64 z z)
8.0ms
z
7.0ms
y
7.0ms
x
Results
AccuracySegmentsBranch
97.9%1x
97.9%1y
99.7%2z
97.9%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
97.9%1(/.f64 #s(literal 1 binary64) x)
99.5%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
99.7%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
99.7%2(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes44.0ms (0.4%)

Memory
28.7MiB live, 109.3MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 y x)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) z) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) y)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 z z)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z z))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 y x))) z)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
Calls

7 calls:

8.0ms
z
6.0ms
(/.f64 #s(literal 1 binary64) x)
6.0ms
x
6.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
6.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
97.9%1x
97.9%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
97.9%1(/.f64 #s(literal 1 binary64) x)
97.9%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
97.9%1z
97.9%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
97.9%1(*.f64 z z)
Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes37.0ms (0.3%)

Memory
10.3MiB live, 88.6MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 y x)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) z) y))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (*.f64 x y))))
(/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) y)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z))
Calls

8 calls:

5.0ms
(*.f64 z z)
5.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
5.0ms
z
5.0ms
(/.f64 #s(literal 1 binary64) x)
5.0ms
y
Results
AccuracySegmentsBranch
95.6%2y
91.4%1x
98.6%2z
96.3%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
91.4%1(/.f64 #s(literal 1 binary64) x)
99.3%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
98.6%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
98.6%2(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

regimes24.0ms (0.2%)

Memory
-21.4MiB live, 35.3MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 y x)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) z) y))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) z) y))
Calls

4 calls:

14.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
4.0ms
z
3.0ms
(*.f64 z z)
3.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
97.5%2z
97.5%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
97.5%2(*.f64 z z)
88.0%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes10.0ms (0.1%)

Memory
-14.6MiB live, 24.5MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 y x)) z))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z))
Calls

3 calls:

4.0ms
(*.f64 z z)
3.0ms
z
3.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
96.8%2z
96.8%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
96.8%2(*.f64 z z)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes12.0ms (0.1%)

Memory
-11.1MiB live, 28.0MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))
Calls

4 calls:

4.0ms
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
3.0ms
z
3.0ms
(*.f64 z z)
2.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
82.1%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
97.8%3z
97.8%3(+.f64 #s(literal 1 binary64) (*.f64 z z))
97.8%3(*.f64 z z)
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes40.0ms (0.4%)

Memory
3.0MiB live, 41.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y))
Calls

6 calls:

27.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
z
3.0ms
x
2.0ms
y
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
64.5%2x
64.5%2(/.f64 #s(literal 1 binary64) x)
67.0%3y
92.3%2z
92.3%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
92.3%2(*.f64 z z)
Compiler

Compiled 32 to 24 computations (25% saved)

regimes9.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z))))
Calls

4 calls:

2.0ms
z
2.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
2.0ms
(*.f64 z z)
2.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
77.7%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
87.9%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
87.9%2(*.f64 z z)
87.9%2z
Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes33.0ms (0.3%)

Memory
-1.4MiB live, 39.5MiB allocated
Accuracy

Total -8.2b remaining (-34.7%)

Threshold costs -8.2b (-34.7%)

Counts
4 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x y))
Calls

8 calls:

18.0ms
z
2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
x
2.0ms
y
2.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
62.8%1(/.f64 #s(literal 1 binary64) x)
62.8%1x
62.8%1y
62.8%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
62.8%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
62.8%1z
62.8%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
62.8%1(*.f64 z z)
Compiler

Compiled 56 to 40 computations (28.6% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2566503799299476e+308
+inf
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4987402204678773e+308
+inf
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.503536819448157e-5
16447.382366362828
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.503536819448157e-5
16447.382366362828
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0151791297879999e+278
1.03303397024868e+287
0.0ms
7.503536819448157e-5
16447.382366362828
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch13.0ms (0.1%)

Memory
-7.9MiB live, 30.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.008662295780824017
128.24734837946096
Samples
8.0ms128×0valid
Compiler

Compiled 193 to 143 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (49.1% of total)
ival-add: 1.0ms (24.6% of total)
ival-mult: 1.0ms (24.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.503536819448157e-5
16447.382366362828
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify10.0ms (0.1%)

Memory
-15.9MiB live, 22.8MiB allocated
Algorithm
egg-herbie
Rules
32×*-commutative_binary64
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055194
175194
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
(if (<=.f64 (*.f64 z z) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z)))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) z) y)))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z)))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 (*.f64 z z) #s(literal 199999999999999992701373735918357116631804549565985153064628970972443492602480411625348685741640985599675569876002408075550379507087920437583886295587576290642133049161236473317937266725516180055400670622987509956668735259751478274996752027315378862823736417652149903488970653696 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y)))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x z) z x)) y)
(if (<=.f64 (*.f64 z z) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z)))
(if (<=.f64 (*.f64 z z) #s(literal +inf.0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 z z #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 x z) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 x z)) z (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x z) y) z (*.f64 x y)))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z)))
(if (<=.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal +inf.0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (fma.f64 z z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 x z) y))))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x z) z) y)))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (*.f64 x z)))))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x z)) z)))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (*.f64 x z) y))))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 (*.f64 z z) #s(literal 199999999999999992701373735918357116631804549565985153064628970972443492602480411625348685741640985599675569876002408075550379507087920437583886295587576290642133049161236473317937266725516180055400670622987509956668735259751478274996752027315378862823736417652149903488970653696 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) (*.f64 x z)))))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (if (<=.f64 (*.f64 z z) #s(literal 199999999999999992701373735918357116631804549565985153064628970972443492602480411625348685741640985599675569876002408075550379507087920437583886295587576290642133049161236473317937266725516180055400670622987509956668735259751478274996752027315378862823736417652149903488970653696 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x z) (*.f64 z y)))))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 z z)) y)))
(if (<=.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 z z)))))
(if (<=.f64 (*.f64 z z) #s(literal 7378697629483821/73786976294838206464 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (*.f64 x y))

soundness1.2s (10.3%)

Memory
54.4MiB live, 915.4MiB allocated
Rules
18 180×accelerator-lowering-fma.f32
18 180×accelerator-lowering-fma.f64
4 616×/-lowering-/.f32
4 616×/-lowering-/.f64
4 020×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01890
110890
268786
3532286
0806581
0929
15329
235529
3274629
0907126
01997
110797
263291
3567091
0802887
052814
1135812
2389807
31483790
43946754
57664754
08189693
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 606 to 329 computations (45.7% saved)

preprocess358.0ms (3.2%)

Memory
-74.9MiB live, 609.0MiB allocated
Remove

(abs z)

Compiler

Compiled 898 to 388 computations (56.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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