Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze41.0ms (0.6%)

Memory
1.9MiB live, 78.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.7s (24.2%)

Memory
14.8MiB live, 935.8MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 581.0ms
ival-mult: 382.0ms (65.7% of total)
ival-div: 89.0ms (15.3% of total)
ival-sub: 60.0ms (10.3% of total)
ival-add: 35.0ms (6% of total)
ival-true: 6.0ms (1% of total)
exact: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain218.0ms (3.1%)

Memory
-26.2MiB live, 296.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
580-1(-2.9015560540558662e-157 -8.213870992535481e-204 -6.509844243320551e-205)(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
260-0-(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-z
00-0-(*.f64 x x)
00-0-(*.f64 y #s(literal 2 binary64))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 z z)
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))o/n560
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))overflow155
(*.f64 y y)overflow57
(*.f64 x x)overflow78
(+.f64 (*.f64 x x) (*.f64 y y))overflow118
(*.f64 z z)overflow63
-.f64(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))nan-rescue260
(*.f64 y y)overflow57
(*.f64 x x)overflow78
(+.f64 (*.f64 x x) (*.f64 y y))overflow118
(*.f64 z z)overflow63
/.f64(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))u/n10
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))underflow1
(*.f64 y y)underflow63
(*.f64 x x)underflow62
(+.f64 (*.f64 x x) (*.f64 y y))underflow9
(*.f64 z z)underflow56
Confusion
Predicted +Predicted -
+771
-0178
Precision
1.0
Recall
0.9871794871794872
Confusion?
Predicted +Predicted MaybePredicted -
+7701
-00178
Precision?
1.0
Recall?
0.9871794871794872
Freqs
test
numberfreq
0179
171
26
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms512×0valid
Compiler

Compiled 215 to 62 computations (71.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 13.0ms (59.1% of total)
ival-div: 4.0ms (18.2% of total)
ival-sub: 2.0ms (9.1% of total)
ival-add: 2.0ms (9.1% of total)
ival-true: 1.0ms (4.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess501.0ms (7%)

Memory
18.3MiB live, 254.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038138
1147135
2489135
32191135
46834117
01115
01815
13215
26915
313615
429515
563015
6150513
7347513
8785913
0803312
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 2 binary64))
Symmetry

(abs z)

(abs x)

(negabs y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.2%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify172.0ms (2.4%)

Memory
28.5MiB live, 256.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (*.f64 x x) (*.f64 y y))
cost-diff128
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
01849
13249
26949
313649
429549
563049
6150547
7347547
8785947
0803344
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(fma.f64 (-.f64 x z) (+.f64 z x) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

localize32.0ms (0.4%)

Memory
-24.7MiB live, 46.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.00390625
(+.f64 (*.f64 x x) (*.f64 y y))
accuracy5.890596101622882
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
accuracy13.31693465021412
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 100 to 24 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (59.2% of total)
ival-div: 2.0ms (19.7% of total)
ival-sub: 1.0ms (9.9% of total)
ival-add: 1.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Counts
5 → 26
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Outputs
(- (pow y 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(- (pow x 2) (pow z 2))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
Calls

9 calls:

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

simplify112.0ms (1.6%)

Memory
10.6MiB live, 131.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071283
1196283
2567257
32178253
46027249
08163231
Stop Event
iter limit
node limit
Counts
26 → 26
Calls
Call 1
Inputs
(- (pow y 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(- (pow x 2) (pow z 2))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
Outputs
(- (pow y 2) (pow z 2))
(fma.f64 (neg.f64 z) z (*.f64 y y))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* 1/2 (/ (pow x 2) y))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(- (pow x 2) (pow z 2))
(*.f64 (-.f64 x z) (+.f64 z x))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x))
(* -1/2 (/ (pow z 2) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

rewrite292.0ms (4.1%)

Memory
-34.6MiB live, 300.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
01839
16839
256939
0830136
Stop Event
iter limit
node limit
iter limit
Counts
5 → 528
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y z) (-.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 z z))))
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 y z) (-.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (-.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (*.f64 x x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))))
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(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z)))
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(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z)))
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))))
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 z (neg.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z)))
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))))
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) z) (*.f64 #s(literal 4 binary64) (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y)))
(-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z)) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 x z) (-.f64 x z))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 y z) (-.f64 y z))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 y z) (-.f64 y z))))
(+.f64 (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z)))
(+.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))

eval93.0ms (1.3%)

Memory
5.0MiB live, 123.7MiB allocated
Compiler

Compiled 17 631 to 1 646 computations (90.7% saved)

prune38.0ms (0.5%)

Memory
6.1MiB live, 44.4MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New53113544
Fresh000
Picked101
Done000
Total53213545
Accuracy
100.0%
Counts
545 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
52.0%
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
53.0%
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) y) (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) (*.f64 y y))
62.4%
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)))
76.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
17.2%
(*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))))
99.9%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
67.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
36.6%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
59.9%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
70.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
31.1%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
30.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
Compiler

Compiled 714 to 406 computations (43.1% saved)

simplify154.0ms (2.2%)

Memory
8.4MiB live, 195.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64))
cost-diff320
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
cost-diff1024
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
cost-diff2688
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
cost-diff0
(-.f64 y z)
cost-diff0
(+.f64 y z)
cost-diff0
(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
cost-diff384
(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
cost-diff0
(/.f64 x y)
cost-diff0
(fma.f64 (/.f64 x y) x y)
cost-diff0
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
cost-diff0
(/.f64 (-.f64 x z) y)
cost-diff0
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
cost-diff0
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039287
066270
1129268
2351268
31286260
45172260
08780259
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
(+.f64 z x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
#s(literal 1/2 binary64)
(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
y
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
(+.f64 y z)
z
(-.f64 y z)
(*.f64 x x)
x
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
(-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
(/.f64 (fma.f64 y y (*.f64 x x)) y)
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))
(/.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(/.f64 y z)
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
(+.f64 z x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y))) y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
(/.f64 y (fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y))))
y
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
(fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y)))
(+.f64 y z)
(+.f64 z y)
z
(-.f64 y z)
(*.f64 x x)
x
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 x x (*.f64 y y))) y) #s(literal 1/2 binary64))
(-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) z) (fma.f64 x x (*.f64 y y)) #s(literal -2 binary64))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) z) (fma.f64 x x (*.f64 y y)))
(/.f64 (fma.f64 y y (*.f64 x x)) y)
(/.f64 (fma.f64 x x (*.f64 y y)) y)
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
y
(*.f64 x x)
x
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) z) y)
(/.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
(/.f64 y z)
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
(*.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) z) y)

localize125.0ms (1.8%)

Memory
-28.4MiB live, 181.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.19207001953688402
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))
accuracy10.005594193103521
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
accuracy15.278252899277373
(/.f64 (fma.f64 y y (*.f64 x x)) y)
accuracy19.628889678124082
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
accuracy0
(*.f64 x x)
accuracy0.09375
(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
accuracy1.999977980844482
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy13.980017210164487
(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
accuracy0
(/.f64 x y)
accuracy0
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy0.078125
(fma.f64 (/.f64 x y) x y)
accuracy21.10223656679959
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
accuracy0
(*.f64 #s(literal 1/2 binary64) y)
accuracy44.097615682892915
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy0
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
accuracy0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
accuracy0.01171875
(/.f64 (-.f64 x z) y)
accuracy0.0546875
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
Samples
70.0ms256×0valid
Compiler

Compiled 562 to 80 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 18.0ms (35.2% of total)
ival-div: 15.0ms (29.3% of total)
ival-add: 14.0ms (27.4% of total)
ival-sub: 4.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series61.0ms (0.9%)

Memory
30.8MiB live, 108.0MiB allocated
Counts
22 → 163
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(/.f64 (-.f64 x z) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
(+.f64 y z)
(-.f64 y z)
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
(-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
(*.f64 x x)
(/.f64 (fma.f64 y y (*.f64 x x)) y)
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))
Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
y
(+ y (/ (pow x 2) y))
(/ x y)
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(/ y (* (+ y z) (- y z)))
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) y))
(+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 2 (/ (pow y 2) (pow z 2)))
(+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2))))
(- (* 2 (/ (pow y 2) (pow z 2))) 2)
(- (+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2)))) 2)
(* (+ y z) (- y z))
(+ (* (+ y z) (- y z)) (pow x 2))
(pow x 2)
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(/ y (pow x 2))
(/ (+ y (* -1 (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(/ (- (+ y (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2))) (pow x 2))
(/ (- (+ y (* -1 (/ (* y (* (pow (+ y z) 3) (pow (- y z) 3))) (pow x 6)))) (+ (* -1 (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(* (pow x 2) (+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* 2 (/ (pow x 2) (pow z 2)))
(* (pow x 2) (+ (* 2 (/ (pow y 2) (* (pow x 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))))
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (* (pow x 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (- x z) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (pow x 2) (pow y 2)) y)
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(/ y (+ (* -1 (pow z 2)) (pow x 2)))
(* y (+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
z
(+ y z)
(* -1 z)
(- y z)
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) y))
(/ (+ (* 1/4 (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2))) (* 1/2 (pow y 2))) y)
(* 4 (/ y (pow z 2)))
(- (* 2 (/ (pow x 2) (pow z 2))) 2)
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2)))
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2)))
(* 2 (/ y (pow z 2)))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(/ 1 y)
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) y)
(* y (+ 1 (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1/2 (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2)))))
(* (pow y 2) (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))))
(* (pow y 2) (- (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))) (* 2 (/ 1 (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) (/ (pow (+ z (* -1 z)) 2) y)) (+ z (* -1 z))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (/ (* (+ z (* -1 z)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ z (* -1 z))) y)) 1) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (* -1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2))) 1/2)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(/ y (+ (pow x 2) (pow y 2)))
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ y (* -1 z))
(* 2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))
(/ (+ (* -2 (pow z 2)) (* 2 (+ (pow x 2) (pow y 2)))) (pow z 2))
(+ (pow x 2) (pow y 2))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -1 (/ y (pow z 2)))
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2))
(* z (+ 1 (/ y z)))
(* z (- (/ y z) 1))
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y))))
-2
(- (* 2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 2)
(* -1 (pow z 2))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
z
@0
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (* 2 (* (/ 2 z) (/ y z)))) (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) (* 2 (* (/ 2 z) (/ y z))) (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z)))
10.0ms
y
@0
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (* 2 (* (/ 2 z) (/ y z)))) (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) (* 2 (* (/ 2 z) (/ y z))) (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z)))
6.0ms
x
@0
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (* 2 (* (/ 2 z) (/ y z)))) (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) (* 2 (* (/ 2 z) (/ y z))) (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z)))
6.0ms
y
@inf
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (* 2 (* (/ 2 z) (/ y z)))) (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) (* 2 (* (/ 2 z) (/ y z))) (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z)))
6.0ms
y
@-inf
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (+ y z) (- y z) (/ (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (* 2 (* (/ 2 z) (/ y z)))) (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) (* 2 (* (/ 2 z) (/ y z))) (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z)))

simplify122.0ms (1.7%)

Memory
-0.4MiB live, 150.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06362956
121452434
085922311
Stop Event
iter limit
node limit
Counts
163 → 161
Calls
Call 1
Inputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
y
(+ y (/ (pow x 2) y))
(/ x y)
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(/ y (* (+ y z) (- y z)))
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) y))
(+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 2 (/ (pow y 2) (pow z 2)))
(+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2))))
(- (* 2 (/ (pow y 2) (pow z 2))) 2)
(- (+ (* 2 (/ (pow x 2) (pow z 2))) (* 2 (/ (pow y 2) (pow z 2)))) 2)
(* (+ y z) (- y z))
(+ (* (+ y z) (- y z)) (pow x 2))
(pow x 2)
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(/ y (pow x 2))
(/ (+ y (* -1 (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(/ (- (+ y (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2))) (pow x 2))
(/ (- (+ y (* -1 (/ (* y (* (pow (+ y z) 3) (pow (- y z) 3))) (pow x 6)))) (+ (* -1 (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(* (pow x 2) (+ (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow y 2) (pow z 2))) 2)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* 2 (/ (pow x 2) (pow z 2)))
(* (pow x 2) (+ (* 2 (/ (pow y 2) (* (pow x 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))))
(* (pow x 2) (- (+ (* 2 (/ (pow y 2) (* (pow x 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))) (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (- x z) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (pow x 2) (pow y 2)) y)
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(/ y (+ (* -1 (pow z 2)) (pow x 2)))
(* y (+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
z
(+ y z)
(* -1 z)
(- y z)
(* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) y))
(/ (+ (* 1/4 (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2))) (* 1/2 (pow y 2))) y)
(* 4 (/ y (pow z 2)))
(- (* 2 (/ (pow x 2) (pow z 2))) 2)
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2)))
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2)))
(* 2 (/ y (pow z 2)))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(/ 1 y)
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) y)
(* y (+ 1 (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1/2 (* 1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2)))))
(* (pow y 2) (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))))
(* (pow y 2) (- (+ (* 2 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (* 2 (/ 1 (pow z 2)))) (* 2 (/ 1 (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) (/ (pow (+ z (* -1 z)) 2) y)) (+ z (* -1 z))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (/ (* (+ z (* -1 z)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ z (* -1 z))) y)) 1) y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (* -1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2))) 1/2)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(/ y (+ (pow x 2) (pow y 2)))
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ y (* -1 z))
(* 2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))
(/ (+ (* -2 (pow z 2)) (* 2 (+ (pow x 2) (pow y 2)))) (pow z 2))
(+ (pow x 2) (pow y 2))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -1 (/ y (pow z 2)))
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2))
(* z (+ 1 (/ y z)))
(* z (- (/ y z) 1))
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y))))
-2
(- (* 2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 2)
(* -1 (pow z 2))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))
Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z y)) (/.f64 (-.f64 y z) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 (-.f64 y z) y) (+.f64 z y) (/.f64 (*.f64 x x) y)) #s(literal 1/2 binary64))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
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(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(*.f64 y y)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
(*.f64 (+.f64 (-.f64 (+.f64 (/.f64 z y) (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y))) (/.f64 z y)) #s(literal 1 binary64)) (*.f64 y y))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(*.f64 (neg.f64 y) (*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(*.f64 (neg.f64 y) (*.f64 (fma.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(*.f64 (neg.f64 y) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(*.f64 (neg.f64 y) (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) #s(literal 0 binary64))) y) #s(literal 1/2 binary64)))
(* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y))
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) (/ (pow (+ z (* -1 z)) 2) y)) (+ z (* -1 z))) y)) 1) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y))) #s(literal -1 binary64)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (/ (* (+ z (* -1 z)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ z (* -1 z))) y)) 1) y))
(/.f64 (fma.f64 (/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x))))) (*.f64 y y)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal -1 binary64)))
(* -1 (* y (- (/ z y) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 z y) #s(literal 1 binary64)))
(* -1 (* y (- (* -1/4 (/ (* (pow z 2) (- (* 2 (/ (pow x 2) (pow z 2))) 2)) (pow y 2))) 1/2)))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 z z)) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) (*.f64 x x) #s(literal -2 binary64)) y) y) #s(literal -1/2 binary64)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (-.f64 x z) (+.f64 z x))) (*.f64 y y))) (*.f64 y y))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(* 1/2 (+ y (/ (pow x 2) y)))
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64)))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x y)
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y)
(/ y (+ (pow x 2) (pow y 2)))
(/.f64 y (fma.f64 y y (*.f64 x x)))
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2))))
(-.f64 (/.f64 y (fma.f64 y y (*.f64 x x))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(fma.f64 (fma.f64 z (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (/.f64 y (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) z (/.f64 y (fma.f64 y y (*.f64 x x))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x x))) z (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (/.f64 y (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))) z (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) z (/.f64 y (fma.f64 y y (*.f64 x x))))
(+ y (* -1 z))
(-.f64 y z)
(* 2 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (fma.f64 y y (*.f64 x x)) z))
(/ (+ (* -2 (pow z 2)) (* 2 (+ (pow x 2) (pow y 2)))) (pow z 2))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) z) z)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(fma.f64 y y (*.f64 x x))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* -1/2 (/ (pow z 2) y))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 x (/.f64 x y) y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 x (/.f64 x y) y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* -1 (/ (pow z 2) y))
(/.f64 (*.f64 z z) (neg.f64 y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(/.f64 (*.f64 z z) (neg.f64 y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x y) (/.f64 y (*.f64 z z)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(* z (- (/ x (* y z)) (/ 1 y)))
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z)
(* -1 (/ y (pow z 2)))
(/.f64 (/.f64 (neg.f64 y) z) z)
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2))
(/.f64 (/.f64 (neg.f64 y) z) z)
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (/.f64 y z) y)) (*.f64 z z))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) (/.f64 y z) y)) (*.f64 z z))
(* z (+ 1 (/ y z)))
(fma.f64 (/.f64 y z) z z)
(* z (- (/ y z) 1))
(*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) z)
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (/.f64 (fma.f64 y y (*.f64 x x)) y) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
-2
#s(literal -2 binary64)
(- (* 2 (/ (+ (pow x 2) (pow y 2)) (pow z 2))) 2)
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 z z)) #s(literal -2 binary64))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(*.f64 (-.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y z) (/.f64 y z)))) #s(literal 1 binary64)) (*.f64 z z))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) y) z) #s(literal -1/2 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(/.f64 (*.f64 z z) (neg.f64 y))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x (/.f64 x y) y) z) #s(literal -1 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) z)) (neg.f64 z))
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/.f64 (/.f64 (neg.f64 y) z) z)
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 y z) #s(literal 0 binary64)) z) y)) (*.f64 z z))
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(/.f64 (-.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (neg.f64 z) z)) #s(literal 0 binary64))) (*.f64 z z))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(fma.f64 (/.f64 (neg.f64 y) z) (neg.f64 z) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 z))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 z)) z) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 z z))

rewrite279.0ms (3.9%)

Memory
-8.8MiB live, 284.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039249
066232
1298230
22819230
09048229
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 194
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(/.f64 (-.f64 x z) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
(/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
(+.f64 y z)
(-.f64 y z)
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
(-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
(*.f64 x x)
(/.f64 (fma.f64 y y (*.f64 x x)) y)
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)))
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(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 y (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (neg.f64 y))
(/.f64 (fma.f64 x x (*.f64 y y)) y)
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) y))
(neg.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 x x (*.f64 y y)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 y z) (/.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))
(*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 y z) z))
(*.f64 #s(literal 2 binary64) (/.f64 y (*.f64 z z)))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 z (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 y (/.f64 #s(literal 2 binary64) (*.f64 z z)))
(*.f64 y (pow.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 z (*.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 z y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) z))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 y z))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64))) (neg.f64 (*.f64 z #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 y z) #s(literal -2 binary64))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 1 binary64))) (neg.f64 (/.f64 z y)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (neg.f64 y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 z) (*.f64 z #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal -2 binary64))) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y))) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) z)) (neg.f64 (/.f64 z y)))
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) z)) (neg.f64 z))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 y z)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) (*.f64 z #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 y z) #s(literal -2 binary64)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) #s(literal 1 binary64)) (/.f64 z y))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (neg.f64 y)) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 (*.f64 z #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) y)) (neg.f64 (*.f64 (neg.f64 z) z)))
(/.f64 (neg.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64))) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (*.f64 z #s(literal 1/2 binary64))))
(/.f64 (*.f64 (neg.f64 y) #s(literal -2 binary64)) (*.f64 z z))
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z (*.f64 z #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (neg.f64 z)))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y)) (*.f64 z z))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z #s(literal 1/2 binary64)) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 z y))))
(/.f64 (*.f64 (/.f64 y z) #s(literal 2 binary64)) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 y z) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 z y)))
(/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (neg.f64 z) z))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (/.f64 z y) z)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 z (/.f64 z y))))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z y) (neg.f64 z)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) (/.f64 z y)))
(/.f64 (/.f64 y z) (*.f64 z #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 z y))
(/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 z z))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (/.f64 z y) (neg.f64 z))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 z) (/.f64 z y))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 z y) z))
(/.f64 #s(literal 2 binary64) (*.f64 z (/.f64 z y)))

eval163.0ms (2.3%)

Memory
11.8MiB live, 234.1MiB allocated
Compiler

Compiled 38 108 to 4 357 computations (88.6% saved)

prune30.0ms (0.4%)

Memory
-2.2MiB live, 86.9MiB allocated
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1 07691 085
Fresh448
Picked325
Done000
Total1 083151 098
Accuracy
100.0%
Counts
1 098 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(/.f64 #s(approx (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) z) z)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
30.8%
(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
36.6%
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
67.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
99.9%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
63.1%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
36.6%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
59.9%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
67.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)))
70.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
33.9%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
85.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
31.1%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
30.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
58.2%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)))
Compiler

Compiled 805 to 530 computations (34.2% saved)

simplify203.0ms (2.9%)

Memory
-4.2MiB live, 148.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)))
cost-diff1024
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
cost-diff0
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
cost-diff0
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
cost-diff0
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (/.f64 x y) x)
cost-diff0
(*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)))
cost-diff128
(+.f64 (*.f64 (/.f64 x y) x) y)
cost-diff0
(*.f64 z z)
cost-diff0
(/.f64 (*.f64 z z) y)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
cost-diff0
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y)
cost-diff0
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049360
074357
1137354
2300349
3748349
42122333
55033328
67987328
08497320
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))
#s(literal 1 binary64)
(/.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z
(+.f64 z x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 x y) x) y)
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(+.f64 z x)
x
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)))
#s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (/.f64 (*.f64 x x) y) y)
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y)
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))
(/.f64 (-.f64 x z) y)
#s(literal 1 binary64)
(/.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z
(+.f64 z x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 x y) x) y)
(fma.f64 (/.f64 x y) x y)
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(+.f64 z x)
x
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (/.f64 (*.f64 x x) y) y)
(/.f64 (*.f64 (/.f64 x y) x) y)
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x x)
x
y
#s(literal 1/2 binary64)

localize169.0ms (2.4%)

Memory
-12.9MiB live, 120.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.002817994857033
(/.f64 (/.f64 (*.f64 x x) y) y)
accuracy4.728002885282173
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
accuracy6.725036719679071
(/.f64 (*.f64 x x) y)
accuracy21.10223656679959
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)))
accuracy0
(neg.f64 z)
accuracy0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
accuracy0.0546875
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
accuracy31.384917041492304
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
accuracy0
(*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))
accuracy0.00390625
(+.f64 (*.f64 (/.f64 x y) x) y)
accuracy0.14453125
(*.f64 (/.f64 x y) x)
accuracy21.10223656679959
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)))
accuracy0
(*.f64 z z)
accuracy0
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
accuracy6.636432284723919
(/.f64 (*.f64 z z) y)
accuracy42.29351084645357
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
accuracy0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
accuracy0.00390625
(/.f64 y (-.f64 x z))
accuracy0.0546875
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y)
accuracy0.7113829921538525
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))
Samples
72.0ms256×0valid
Compiler

Compiled 626 to 90 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 18.0ms (42.5% of total)
ival-div: 13.0ms (30.7% of total)
ival-add: 6.0ms (14.2% of total)
ival-sub: 2.0ms (4.7% of total)
ival-neg: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory
9.5MiB live, 46.0MiB allocated
Counts
24 → 97
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
(/.f64 (*.f64 z z) y)
(*.f64 z z)
(+.f64 (*.f64 (/.f64 x y) x) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) x)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)))
#s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 y (-.f64 x z))
(neg.f64 z)
(/.f64 (*.f64 x x) y)
(/.f64 (/.f64 (*.f64 x x) y) y)
Outputs
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
y
(+ y (/ (pow x 2) y))
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(/ (pow x 2) y)
1/2
(+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1 (/ (* x y) (pow z 2))))
(+ (* -1 (/ y z)) (* x (- (* -1 (/ (* x y) (pow z 3))) (/ y (pow z 2)))))
(+ (* -1 (/ y z)) (* x (- (* x (- (* -1 (/ (* x y) (pow z 4))) (/ y (pow z 3)))) (/ y (pow z 2)))))
(/ (pow x 2) (pow y 2))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow y 2)))))
(/ y x)
(/ (+ y (/ (* y z) x)) x)
(/ (- (+ y (/ (* y (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)
(/ (- (+ y (/ (* y (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* y (pow z 2)) (pow x 2))))) x)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (* y z) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y z) (/ (* y (pow z 2)) x)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow z 2))) (* -1 (/ (* y (pow z 3)) x))) x)) (* y z)) x))) x))
(/ (- x z) y)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (+ (pow x 2) (pow y 2)) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) (pow y 2))
(/ y (- x z))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(pow z 2)
(+ (/ y x) (/ (* y z) (pow x 2)))
(+ (* z (- (/ (* y z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ y x))
(+ (* z (- (* z (- (/ (* y z) (pow x 4)) (* -1 (/ y (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ y x))
(* -1 z)
(* z (- (/ x (* y z)) (/ 1 y)))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(/ (+ (* -1 y) (* -1 (/ (* x y) z))) z)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (/ (* x y) z)) z)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))) z)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (/ (+ y (/ (* x y) z)) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow x 2) y) z)) (* x y)) z))) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) z) (* -1 (* (pow x 2) y))) z)) (* x y)) z))) z))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* (/ x y) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) (/ y (- x z)) (neg z) (/ (* x x) y) (/ (/ (* x x) y) y))
4.0ms
y
@-inf
((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* (/ x y) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) (/ y (- x z)) (neg z) (/ (* x x) y) (/ (/ (* x x) y) y))
3.0ms
y
@0
((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* (/ x y) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) (/ y (- x z)) (neg z) (/ (* x x) y) (/ (/ (* x x) y) y))
3.0ms
x
@inf
((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* (/ x y) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) (/ y (- x z)) (neg z) (/ (* x x) y) (/ (/ (* x x) y) y))
3.0ms
x
@-inf
((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ (* z z) y)) (/ (* z z) y) (* z z) (+ (* (/ x y) x) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (* (/ x y) x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (* (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ (/ (* x x) y) y) 1/2) 1/2) (/ y (- x z)) (neg z) (/ (* x x) y) (/ (/ (* x x) y) y))

simplify171.0ms (2.4%)

Memory
31.4MiB live, 221.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03531318
111201250
236651127
085651063
Stop Event
iter limit
node limit
Counts
97 → 96
Calls
Call 1
Inputs
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
y
(+ y (/ (pow x 2) y))
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(/ (pow x 2) y)
1/2
(+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1 (/ (* x y) (pow z 2))))
(+ (* -1 (/ y z)) (* x (- (* -1 (/ (* x y) (pow z 3))) (/ y (pow z 2)))))
(+ (* -1 (/ y z)) (* x (- (* x (- (* -1 (/ (* x y) (pow z 4))) (/ y (pow z 3)))) (/ y (pow z 2)))))
(/ (pow x 2) (pow y 2))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow y 2)))))
(/ y x)
(/ (+ y (/ (* y z) x)) x)
(/ (- (+ y (/ (* y (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)
(/ (- (+ y (/ (* y (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* y (pow z 2)) (pow x 2))))) x)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (* y z) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y z) (/ (* y (pow z 2)) x)) x))) x))
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow z 2))) (* -1 (/ (* y (pow z 3)) x))) x)) (* y z)) x))) x))
(/ (- x z) y)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (+ (pow x 2) (pow y 2)) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) (pow y 2))
(/ y (- x z))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(pow z 2)
(+ (/ y x) (/ (* y z) (pow x 2)))
(+ (* z (- (/ (* y z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ y x))
(+ (* z (- (* z (- (/ (* y z) (pow x 4)) (* -1 (/ y (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ y x))
(* -1 z)
(* z (- (/ x (* y z)) (/ 1 y)))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(/ (+ (* -1 y) (* -1 (/ (* x y) z))) z)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (/ (* x y) z)) z)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))) z)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (/ (+ y (/ (* x y) z)) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow x 2) y) z)) (* x y)) z))) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) z) (* -1 (* (pow x 2) y))) z)) (* x y)) z))) z))
Outputs
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(+ y (* -1 (/ (pow z 2) y)))
(-.f64 y (*.f64 z (/.f64 z y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(-.f64 y (*.f64 z (/.f64 z y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
y
(+ y (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(+ (* -1 (/ y z)) (* -1 (/ (* x y) (pow z 2))))
(*.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(+ (* -1 (/ y z)) (* x (- (* -1 (/ (* x y) (pow z 3))) (/ y (pow z 2)))))
(fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (/.f64 y z) z))) x (/.f64 (neg.f64 y) z))
(+ (* -1 (/ y z)) (* x (- (* x (- (* -1 (/ (* x y) (pow z 4))) (/ y (pow z 3)))) (/ y (pow z 2)))))
(fma.f64 (-.f64 (neg.f64 (*.f64 x (fma.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) x (/.f64 y (pow.f64 z #s(literal 3 binary64)))))) (/.f64 (/.f64 y z) z)) x (/.f64 (neg.f64 y) z))
(/ (pow x 2) (pow y 2))
(/.f64 (*.f64 (/.f64 x y) x) y)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 z y) x)) x)
(* 1/2 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(*.f64 x (fma.f64 (/.f64 (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) x) x (/.f64 x y)))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(*.f64 x (fma.f64 (/.f64 y (*.f64 x x)) x (/.f64 x y)))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)
(* 1/2 (/ (pow x 2) (pow y 2)))
(*.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/ y x)
(/.f64 y x)
(/ (+ y (/ (* y z) x)) x)
(/.f64 (fma.f64 z (/.f64 y x) y) x)
(/ (- (+ y (/ (* y (pow z 2)) (pow x 2))) (* -1 (/ (* y z) x))) x)
(/.f64 (fma.f64 (/.f64 y x) (fma.f64 z (/.f64 z x) z) y) x)
(/ (- (+ y (/ (* y (pow z 3)) (pow x 3))) (+ (* -1 (/ (* y z) x)) (* -1 (/ (* y (pow z 2)) (pow x 2))))) x)
(/.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) y (fma.f64 (/.f64 y x) (fma.f64 z (/.f64 z x) z) y)) x)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(*.f64 x (fma.f64 (/.f64 (/.f64 (-.f64 y (*.f64 z (/.f64 z y))) x) x) x (/.f64 x y)))
(* -1 (/ (+ (* -1 y) (* -1 (/ (* y z) x))) x))
(/.f64 (fma.f64 z (/.f64 y x) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* y z) (/ (* y (pow z 2)) x)) x))) x))
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 z (/.f64 z x) z)) x) y) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* y (pow z 2))) (* -1 (/ (* y (pow z 3)) x))) x)) (* y z)) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 z y (/.f64 (*.f64 y (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) x))) x)) x) y) x)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(*.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 1/2 binary64))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(*.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 1/2 binary64))
(/ (* (+ x z) (- x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y)
(* -1/2 (/ (pow z 2) y))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(/ (pow z 2) y)
(*.f64 z (/.f64 z y))
(/ (+ (pow x 2) (pow y 2)) y)
(/.f64 (fma.f64 x x (*.f64 y y)) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) (pow y 2))
(*.f64 (/.f64 (/.f64 (fma.f64 x x (*.f64 y y)) y) y) #s(literal 1/2 binary64))
(/ y (- x z))
(/.f64 y (-.f64 x z))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y)
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 x y) x y)
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64))) y))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(neg.f64 (neg.f64 (fma.f64 (/.f64 x y) x y)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) y) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(fma.f64 (/.f64 x y) x y)
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
(pow z 2)
(*.f64 z z)
(+ (/ y x) (/ (* y z) (pow x 2)))
(*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 y x))
(+ (* z (- (/ (* y z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ y x))
(fma.f64 (*.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) (/.f64 y (*.f64 x x))) z (/.f64 y x))
(+ (* z (- (* z (- (/ (* y z) (pow x 4)) (* -1 (/ y (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ y x))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) y (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z (/.f64 y (*.f64 x x))) z (/.f64 y x))
(* -1 z)
(neg.f64 z)
(* z (- (/ x (* y z)) (/ 1 y)))
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* -1 (/ (pow z 2) y))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(*.f64 (-.f64 (fma.f64 (/.f64 x z) (/.f64 (/.f64 x y) z) (/.f64 (/.f64 y z) z)) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(/ (+ (* -1 y) (* -1 (/ (* x y) z))) z)
(*.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (/ (* x y) z)) z)
(/.f64 (fma.f64 (/.f64 y z) (+.f64 x (/.f64 (*.f64 x x) z)) y) (neg.f64 z))
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))) z)
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) (+.f64 x (/.f64 (*.f64 x x) z)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) y))) z)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z)
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1/2 binary64)) z)) (*.f64 z z))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x y) x y)) z) z)) (*.f64 z z))
(* -1 (/ (+ y (/ (* x y) z)) z))
(*.f64 (/.f64 y z) (-.f64 #s(literal -1 binary64) (/.f64 x z)))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow x 2) y) z)) (* x y)) z))) z))
(/.f64 (fma.f64 (/.f64 y z) (+.f64 x (/.f64 (*.f64 x x) z)) y) (neg.f64 z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) z) (* -1 (* (pow x 2) y))) z)) (* x y)) z))) z))
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 x y (/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 y z) x y)) z))) z) y) z)

rewrite182.0ms (2.6%)

Memory
-17.7MiB live, 257.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049323
074315
1279315
22180305
08598295
Stop Event
iter limit
node limit
iter limit
Counts
24 → 759
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
(/.f64 (*.f64 z z) y)
(*.f64 z z)
(+.f64 (*.f64 (/.f64 x y) x) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) x)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)))
#s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
(fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 y (-.f64 x z))
(neg.f64 z)
(/.f64 (*.f64 x x) y)
(/.f64 (/.f64 (*.f64 x x) y) y)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y) (/.f64 (-.f64 x z) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(*.f64 (/.f64 (/.f64 (+.f64 z x) (neg.f64 y)) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (fma.f64 #s(literal -1 binary64) x z) (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 z x) (neg.f64 y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1 binary64) x z) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 z x) (neg.f64 y)) (+.f64 z x)) (/.f64 (fma.f64 #s(literal -1 binary64) x z) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 z x) (neg.f64 y)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) x z) (+.f64 z x)))
(*.f64 (/.f64 (/.f64 (+.f64 z x) #s(literal 1 binary64)) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (/.f64 (-.f64 x z) y) (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 z x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 x z) y) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 z x) #s(literal 1 binary64)) (+.f64 z x)) (/.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)))
(*.f64 (/.f64 (/.f64 (+.f64 z x) y) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (-.f64 x z) (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 z x) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (-.f64 x z) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 z x) y) (+.f64 z x)) (/.f64 (-.f64 x z) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 z x) y) #s(literal 1 binary64)) (/.f64 (-.f64 x z) (+.f64 z x)))
(*.f64 (/.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (-.f64 x z) (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (-.f64 x z) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal -1 binary64))) (+.f64 z x)) (/.f64 (-.f64 x z) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 z x) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 x z) (+.f64 z x)))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (/.f64 (+.f64 z x) (pow.f64 (-.f64 x z) #s(literal -1 binary64))) (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 (+.f64 z x) (pow.f64 (-.f64 x z) #s(literal -1 binary64))) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (/.f64 (/.f64 (+.f64 z x) (pow.f64 (-.f64 x z) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x z) (+.f64 z x)) (+.f64 z x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 z x) (pow.f64 (-.f64 x z) #s(literal -1 binary64))) (+.f64 z x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x z))
(*.f64 (/.f64 (/.f64 (-.f64 x z) y) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (+.f64 z x) (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 x z) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (+.f64 z x) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (/.f64 (-.f64 x z) y) (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 z x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 (-.f64 x z) y) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)) (/.f64 (+.f64 z x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x z) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x z) (+.f64 z x)) (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 z x) (+.f64 z x)) (/.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 y (fma.f64 x x (*.f64 (neg.f64 z) z))) #s(literal -1 binary64)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (*.f64 (+.f64 z x) (-.f64 z x))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (fma.f64 z z (*.f64 x (-.f64 x z))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 z x) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)))
(*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) (+.f64 z x)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 x z)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 (+.f64 z x) y) (-.f64 x z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x z))
(*.f64 (/.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) (/.f64 (+.f64 z x) (+.f64 z x)))
(*.f64 (/.f64 (-.f64 x z) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (+.f64 z x)))
(*.f64 (pow.f64 (-.f64 x z) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 x z) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 x z))
(*.f64 (fma.f64 #s(literal -1 binary64) x z) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x z) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 x z))))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64))
(*.f64 (-.f64 x z) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 x z) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (-.f64 x z)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (-.f64 x z) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y (-.f64 x z)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 x x (*.f64 (neg.f64 z) z)))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x z))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 x z))) (neg.f64 y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 x y) (/.f64 z y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x z))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (neg.f64 z) z)))) (neg.f64 (*.f64 y (+.f64 z x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (*.f64 y (fma.f64 z (+.f64 z x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 z x) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z))) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 x y) (*.f64 y z))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z))) (neg.f64 (*.f64 (/.f64 y x) y)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 y)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) y) (*.f64 y z)) (*.f64 y y))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y z)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) y) (*.f64 (neg.f64 (neg.f64 y)) z)) (*.f64 (neg.f64 (neg.f64 y)) y))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (/.f64 y z)) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 y z)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y z)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 (neg.f64 (/.f64 y x)) (neg.f64 z))) (*.f64 (neg.f64 (/.f64 y x)) (neg.f64 y)))
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 (/.f64 y x)) z)) (*.f64 (neg.f64 (/.f64 y x)) y))
(/.f64 (-.f64 (/.f64 (neg.f64 y) z) (*.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 y x)) (/.f64 y z)))
(/.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (*.f64 x (/.f64 y z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y z)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 z))) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) z)) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) y))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y z)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 z))) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 y x) (/.f64 y z)))
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) y (*.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64)))) (*.f64 y y))
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 (neg.f64 y) z)) (*.f64 y #s(literal -1 binary64))) (*.f64 y (neg.f64 (/.f64 (neg.f64 y) z))))
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 (neg.f64 y)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 (neg.f64 y))))
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) y (*.f64 y (neg.f64 z))) (*.f64 y y))
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 y) (*.f64 y z)) (*.f64 y (neg.f64 y)))
(/.f64 (fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 y x)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x x))))
(/.f64 (*.f64 x x) y)
(/.f64 x (/.f64 y x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) y))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) y))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 x y)) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x y) x))
(*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 x x) (/.f64 (pow.f64 y #s(literal -1 binary64)) y))
(*.f64 (*.f64 (/.f64 x y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (/.f64 x (*.f64 y y)))
(*.f64 x (/.f64 (/.f64 x y) y))
(*.f64 x (pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 (/.f64 y (*.f64 x x)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 y (*.f64 x x)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 y (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (*.f64 y (neg.f64 y))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 y (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 y (*.f64 x x)) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y (*.f64 x x)) y)))
(/.f64 (*.f64 x x) (*.f64 y y))
(/.f64 (*.f64 (/.f64 x y) x) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 x y) x) y)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 y (*.f64 x x)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (*.f64 x x)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x x)) y))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y y))) (/.f64 (*.f64 x x) (neg.f64 (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y))) (/.f64 (*.f64 x x) (*.f64 y (neg.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (*.f64 x x)) y)) #s(literal -1 binary64)))

eval149.0ms (2.1%)

Memory
18.3MiB live, 212.7MiB allocated
Compiler

Compiled 31 453 to 3 801 computations (87.9% saved)

prune31.0ms (0.4%)

Memory
-26.7MiB live, 61.7MiB allocated
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New7955800
Fresh268
Picked325
Done022
Total80015815
Accuracy
100.0%
Counts
815 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(/.f64 #s(approx (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) z) z)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
36.6%
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
30.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
67.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
63.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (- x z)) (/.f64 (neg.f64 y) z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
36.6%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
63.5%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)))
67.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (/.f64 x (/.f64 y x)) y) #s(literal 1/2 binary64)))
67.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)))
38.3%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
70.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
33.9%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
85.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
31.1%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
30.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
Compiler

Compiled 727 to 483 computations (33.6% saved)

simplify118.0ms (1.7%)

Memory
4.0MiB live, 198.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 y (*.f64 x x))
cost-diff0
#s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
cost-diff0
(+.f64 z x)
cost-diff0
(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) y)
cost-diff0
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
cost-diff0
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
cost-diff0
(*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
cost-diff128
(fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))
cost-diff128
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050351
070351
1147351
2368347
31374347
46717347
08116333
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))
(neg.f64 y)
y
(fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))
(neg.f64 (+.f64 z x))
(+.f64 z x)
z
x
(/.f64 (-.f64 x z) (*.f64 y y))
(-.f64 x z)
(*.f64 y y)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
#s(literal -1/2 binary64)
(/.f64 z y)
z
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
(+.f64 z x)
z
x
#s(literal 1/2 binary64)
(/.f64 (-.f64 x z) y)
(-.f64 x z)
y
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
#s(literal 1/2 binary64)
#s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))
(/.f64 y (*.f64 x x))
y
(*.f64 x x)
x
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (fma.f64 (*.f64 y (-.f64 x z)) (/.f64 (/.f64 (+.f64 z x) y) y) y))))
(*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (fma.f64 (*.f64 y (-.f64 x z)) (/.f64 (/.f64 (+.f64 z x) y) y) y)))
#s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))))
#s(approx (+ (* (/ (- x z) y) (+ z x)) y) (fma.f64 (*.f64 y (-.f64 x z)) (/.f64 (/.f64 (+.f64 z x) y) y) y))
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))
(fma.f64 (*.f64 y (-.f64 x z)) (/.f64 (/.f64 (+.f64 z x) y) y) y)
(neg.f64 y)
y
(fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 z x) y) (/.f64 (+.f64 z x) y) #s(literal -1 binary64))
(neg.f64 (+.f64 z x))
(+.f64 z x)
z
x
(/.f64 (-.f64 x z) (*.f64 y y))
(/.f64 (/.f64 (-.f64 x z) y) y)
(-.f64 x z)
(*.f64 y y)
#s(literal -1 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
(*.f64 (/.f64 z y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 z y)
z
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 (+.f64 z x) y) #s(literal 1/2 binary64)) (-.f64 x z)))
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(*.f64 (*.f64 (/.f64 (+.f64 z x) y) #s(literal 1/2 binary64)) (-.f64 x z))
(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 z x))
(+.f64 z x)
z
x
#s(literal 1/2 binary64)
(/.f64 (-.f64 x z) y)
(-.f64 x z)
y
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
#s(literal 1/2 binary64)
#s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))
(/.f64 y (*.f64 x x))
y
(*.f64 x x)
x

localize112.0ms (1.6%)

Memory
-1.1MiB live, 154.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.09375
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
accuracy7.025021350303681
(/.f64 y (*.f64 x x))
accuracy36.92465194494681
#s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))
accuracy0
(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
accuracy0.01171875
(/.f64 (-.f64 x z) y)
accuracy0.140625
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
accuracy18.655102983954894
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
accuracy0
(*.f64 x x)
accuracy0.00390625
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
accuracy6.725036719679071
(/.f64 (*.f64 x x) y)
accuracy39.449741428633594
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
accuracy0
(/.f64 z y)
accuracy0
(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
accuracy0.1328125
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
accuracy42.29351084645357
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
accuracy0
#s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))))
accuracy0.7426195643285124
(fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))
accuracy3.5446590184653672
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))
accuracy6.973101467336462
(/.f64 (-.f64 x z) (*.f64 y y))
Samples
65.0ms256×0valid
Compiler

Compiled 601 to 92 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 22.0ms (47.4% of total)
ival-div: 12.0ms (25.8% of total)
ival-add: 7.0ms (15.1% of total)
ival-sub: 3.0ms (6.5% of total)
ival-neg: 2.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (0.6%)

Memory
20.9MiB live, 58.1MiB allocated
Counts
22 → 163
Calls
Call 1
Inputs
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
(/.f64 z y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
(+.f64 z x)
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
#s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))
(/.f64 y (*.f64 x x))
(/.f64 (-.f64 x z) (*.f64 y y))
#s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))))
(/.f64 (-.f64 x z) y)
Outputs
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(+ (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))))
(+ (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) (* x (+ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (/ x y))))
(- (/ (pow z 2) (pow y 2)) 1)
(- (+ (* -1 (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (/ (pow z 2) (pow y 2))) 1)
(- (+ (* x (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ x (pow y 2))))) (/ (pow z 2) (pow y 2))) 1)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 (/ (pow x 2) y))
(/ (pow x 2) y)
(pow x 2)
(* -1/2 (/ (pow z 2) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 z)
(+ (* 1/2 x) (* 1/2 z))
z
(+ x z)
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(/ y (* (+ y z) (- y z)))
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(/ y (pow x 2))
(* -1 (/ z (pow y 2)))
(+ (* -1 (/ z (pow y 2))) (/ x (pow y 2)))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* (pow x 2) (+ (/ 1 y) (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)))
(* (pow x 2) (+ (* -1 (/ (* y (- (/ (pow z 2) (pow y 2)) 1)) (pow x 2))) (+ (/ 1 y) (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* -1 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (/ 1 (pow y 2))))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ z x))))
x
(* x (+ 1 (/ z x)))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(/ (+ y (* -1 (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(/ (- (+ y (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2))) (pow x 2))
(/ (- (+ y (* -1 (/ (* y (* (pow (+ y z) 3) (pow (- y z) 3))) (pow x 6)))) (+ (* -1 (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(/ x (pow y 2))
(* x (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (+ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (/ (* y (- (/ (pow z 2) (pow y 2)) 1)) x)) x)) (/ 1 y)))
(* (pow x 2) (- (+ (* -1 (/ z (* x (pow y 2)))) (/ z (* x (pow y 2)))) (/ 1 (pow y 2))))
(* (pow x 2) (- (* -1 (/ (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ (- (/ (pow z 2) (pow y 2)) 1) x))) x)) (/ 1 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* -1 (* x (- (* -1/2 (/ z x)) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (/ z (* x (pow y 2))) (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(* -1 (/ (* (+ x z) (- x z)) (pow y 2)))
(/ (+ (* -1 (* (+ x z) (- x z))) (* -1 (pow y 2))) (pow y 2))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(* -1/2 (/ z y))
(/ z y)
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(/ y (+ (* -1 (pow z 2)) (pow x 2)))
(* y (+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(/ (- x z) (pow y 2))
(/ (- x z) y)
y
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
-1
(- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(/ 1 y)
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) y)
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) (/ (pow (+ z (* -1 z)) 2) y)) (+ z (* -1 z))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (/ (* (+ z (* -1 z)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ z (* -1 z))) y)) 1) y))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(+ (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) (* y (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))
(+ (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) (* z (+ (* -1 (/ z y)) (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))
(- (* -1 (/ (pow x 2) (pow y 2))) 1)
(- (+ (* -1 (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) (* -1 (/ (pow x 2) (pow y 2)))) 1)
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* z (+ (* -1 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) (/ z (pow y 2))))) 1)
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(/ y (+ (pow x 2) (pow y 2)))
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)) (pow z 2))) (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (/ 1 y)))
(/ (pow z 2) (pow y 2))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (/ 1 (pow y 2))))
(* (pow z 2) (- (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ 1 (pow y 2)))) (/ 1 (pow z 2))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ x z))))
(* z (+ 1 (/ x z)))
(* -1 (/ y (pow z 2)))
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2))
(* z (- (/ x (* (pow y 2) z)) (/ 1 (pow y 2))))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) (/ (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)) z)) z)) (/ 1 y)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- (* -1 (/ (pow x 2) (pow y 2))) 1) z)) (/ x (pow y 2)))) z)) (/ 1 (pow y 2))))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* -1 (* z (- (* -1/2 (/ x z)) 1/2)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(* -1 (* z (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 (pow y 2)))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
y
@-inf
((* (neg y) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1)) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (/ (- x z) (* y y)) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y))
4.0ms
y
@0
((* (neg y) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1)) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (/ (- x z) (* y y)) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y))
4.0ms
y
@inf
((* (neg y) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1)) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (/ (- x z) (* y y)) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y))
4.0ms
z
@inf
((* (neg y) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1)) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (/ (- x z) (* y y)) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y))
4.0ms
z
@-inf
((* (neg y) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1)) (+ (* (neg (+ z x)) (/ (- x z) (* y y))) -1) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* -1/2 (/ z y)) z) (* -1/2 (/ z y)) (/ z y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (/ 1/2 (/ y (+ (* (+ y z) (- y z)) (* x x)))) (/ y (+ (* (+ y z) (- y z)) (* x x))) (/ y (* x x)) (/ (- x z) (* y y)) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y))

simplify154.0ms (2.2%)

Memory
3.4MiB live, 166.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06723198
122852413
095532291
Stop Event
iter limit
node limit
Counts
163 → 160
Calls
Call 1
Inputs
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(+ (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))))
(+ (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) (* x (+ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (/ x y))))
(- (/ (pow z 2) (pow y 2)) 1)
(- (+ (* -1 (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (/ (pow z 2) (pow y 2))) 1)
(- (+ (* x (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ x (pow y 2))))) (/ (pow z 2) (pow y 2))) 1)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 (/ (pow x 2) y))
(/ (pow x 2) y)
(pow x 2)
(* -1/2 (/ (pow z 2) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 z)
(+ (* 1/2 x) (* 1/2 z))
z
(+ x z)
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(/ y (* (+ y z) (- y z)))
(+ (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 2) (pow (- y z) 2)))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (/ (* (pow x 2) y) (* (pow (+ y z) 3) (pow (- y z) 3))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (/ (* (pow x 2) y) (* (pow (+ y z) 4) (pow (- y z) 4)))) (* -1 (/ y (* (pow (+ y z) 3) (pow (- y z) 3)))))) (/ y (* (pow (+ y z) 2) (pow (- y z) 2))))) (/ y (* (+ y z) (- y z))))
(/ y (pow x 2))
(* -1 (/ z (pow y 2)))
(+ (* -1 (/ z (pow y 2))) (/ x (pow y 2)))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* (pow x 2) (+ (/ 1 y) (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)))
(* (pow x 2) (+ (* -1 (/ (* y (- (/ (pow z 2) (pow y 2)) 1)) (pow x 2))) (+ (/ 1 y) (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x))))
(* -1 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (- (* -1 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (/ 1 (pow y 2))))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))) x)) (/ (pow z 2) (* (pow x 2) (pow y 2)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ z x))))
x
(* x (+ 1 (/ z x)))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(/ (+ y (* -1 (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(/ (- (+ y (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2))) (pow x 2))
(/ (- (+ y (* -1 (/ (* y (* (pow (+ y z) 3) (pow (- y z) 3))) (pow x 6)))) (+ (* -1 (/ (* y (* (pow (+ y z) 2) (pow (- y z) 2))) (pow x 4))) (/ (* y (* (+ y z) (- y z))) (pow x 2)))) (pow x 2))
(/ x (pow y 2))
(* x (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (+ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (/ (* y (- (/ (pow z 2) (pow y 2)) 1)) x)) x)) (/ 1 y)))
(* (pow x 2) (- (+ (* -1 (/ z (* x (pow y 2)))) (/ z (* x (pow y 2)))) (/ 1 (pow y 2))))
(* (pow x 2) (- (* -1 (/ (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ (- (/ (pow z 2) (pow y 2)) 1) x))) x)) (/ 1 (pow y 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* -1 (* x (- (* -1/2 (/ z x)) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* x (- (/ z (* x (pow y 2))) (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(* -1 (/ (* (+ x z) (- x z)) (pow y 2)))
(/ (+ (* -1 (* (+ x z) (- x z))) (* -1 (pow y 2))) (pow y 2))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(* -1/2 (/ z y))
(/ z y)
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(/ y (+ (* -1 (pow z 2)) (pow x 2)))
(* y (+ (* -1 (* y (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(* y (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (* -1 (/ (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (+ (* -1 (pow z 2)) (pow x 2))))))) (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2)))) (+ (* -1 (pow z 2)) (pow x 2)))) (/ 1 (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (+ (* -1 (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))) (/ z (pow (+ (* -1 (pow z 2)) (pow x 2)) 2))))) (/ 1 (+ (* -1 (pow z 2)) (pow x 2)))))
(/ (- x z) (pow y 2))
(/ (- x z) y)
y
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
-1
(- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(/ 1 y)
(/ (+ 1 (* -1 (/ (+ z (* -1 z)) y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))) (pow y 2)))) (+ (* -1 (/ z y)) (/ z y))) y)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (+ (* -1 (pow (+ z (* -1 z)) 2)) (pow x 2))))) (* -1 (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))))) (pow y 3)))) (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (/ (pow (+ z (* -1 z)) 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2))))))) y)
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y)) (/ (pow (+ z (* -1 z)) 2) y)) (+ z (* -1 z))) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ z (* -1 z)) (+ (* -1 (pow z 2)) (pow x 2))) y)) (/ (* (+ z (* -1 z)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ (* -1 (+ (* -1 (pow z 2)) (pow x 2))) (pow (+ z (* -1 z)) 2))) y)) (+ z (* -1 z))) y)) 1) y))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(+ (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) (* y (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))
(+ (* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1))) (* z (+ (* -1 (/ z y)) (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))
(- (* -1 (/ (pow x 2) (pow y 2))) 1)
(- (+ (* -1 (* z (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) (* -1 (/ (pow x 2) (pow y 2)))) 1)
(- (+ (* -1 (/ (pow x 2) (pow y 2))) (* z (+ (* -1 (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) (/ z (pow y 2))))) 1)
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(/ y (+ (pow x 2) (pow y 2)))
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)) (pow z 2))) (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (/ 1 y)))
(/ (pow z 2) (pow y 2))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (/ 1 (pow y 2))))
(* (pow z 2) (- (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ 1 (pow y 2)))) (/ 1 (pow z 2))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ x z))))
(* z (+ 1 (/ x z)))
(* -1 (/ y (pow z 2)))
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2))
(* z (- (/ x (* (pow y 2) z)) (/ 1 (pow y 2))))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) (/ (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)) z)) z)) (/ 1 y)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- (* -1 (/ (pow x 2) (pow y 2))) 1) z)) (/ x (pow y 2)))) z)) (/ 1 (pow y 2))))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* -1 (* z (- (* -1/2 (/ x z)) 1/2)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(* -1 (* z (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 (pow y 2)))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
Outputs
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64)))
(+ (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) (* x (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64)))
(+ (* -1 (* y (- (/ (pow z 2) (pow y 2)) 1))) (* x (+ (* y (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (/ x y))))
(fma.f64 (neg.f64 y) (fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64)) (*.f64 (/.f64 x y) x))
(- (/ (pow z 2) (pow y 2)) 1)
(fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64))
(- (+ (* -1 (* x (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2))))) (/ (pow z 2) (pow y 2))) 1)
(fma.f64 (/.f64 z y) (/.f64 z y) #s(literal -1 binary64))
(- (+ (* x (+ (* -1 (+ (* -1 (/ z (pow y 2))) (/ z (pow y 2)))) (* -1 (/ x (pow y 2))))) (/ (pow z 2) (pow y 2))) 1)
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(* -1 (/ (- (+ (* -1 (/ z y)) (/ z y)) 1) y))
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(/.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 (+.f64 x z)) y) (/.f64 (-.f64 x z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
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(*.f64 (neg.f64 y) (fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) x #s(literal -1 binary64)))
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(- (* -1 (/ (pow x 2) (pow y 2))) 1)
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(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
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(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/ y (+ (pow x 2) (pow y 2)))
(/.f64 y (fma.f64 x x (*.f64 y y)))
(+ (* -1 (/ (* y (* z (+ y (* -1 y)))) (pow (+ (pow x 2) (pow y 2)) 2))) (/ y (+ (pow x 2) (pow y 2))))
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(+ (* z (- (* -1 (* z (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
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(+ (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (* (+ y (* -1 y)) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (pow x 2) (pow y 2)))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 3))))) (+ (* -1 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* -1 (/ (* y (pow (+ y (* -1 y)) 2)) (pow (+ (pow x 2) (pow y 2)) 3)))))) (/ (* y (+ y (* -1 y))) (pow (+ (pow x 2) (pow y 2)) 2)))) (/ y (+ (pow x 2) (pow y 2))))
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(+ y (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x y)
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x y)
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(fma.f64 (+.f64 x z) (/.f64 (-.f64 x z) y) y)
(* -1 (/ (pow z 2) y))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z) (/ 1 y)))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (+ (* -1 (/ (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)) (pow z 2))) (/ (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))) z)) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) x #s(literal -1 binary64)) z) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(/ (pow z 2) (pow y 2))
(*.f64 (/.f64 z y) (/.f64 z y))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (/ 1 (pow y 2))))
(fma.f64 (/.f64 z y) (/.f64 z y) #s(literal 0 binary64))
(* (pow z 2) (- (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))) z)) (+ (* -1 (/ (pow x 2) (* (pow y 2) (pow z 2)))) (/ 1 (pow y 2)))) (/ 1 (pow z 2))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) x #s(literal -1 binary64)) z) z)) (*.f64 z z))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (fma.f64 (/.f64 x y) x y) z) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 z z)) (*.f64 (/.f64 x y) x) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* z (+ 1/2 (* 1/2 (/ x z))))
(*.f64 (fma.f64 (/.f64 x z) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) z)
(* z (+ 1 (/ x z)))
(fma.f64 (/.f64 x z) z z)
(* -1 (/ y (pow z 2)))
(/.f64 (/.f64 (neg.f64 y) z) z)
(/ (+ (* -1 y) (* -1 (/ (* y (+ y (* -1 y))) z))) (pow z 2))
(/.f64 (/.f64 (neg.f64 y) z) z)
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))) (pow z 2)))) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) (/.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) z) y)) (*.f64 z z))
(/ (- (+ (* -1 y) (* -1 (/ (+ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2))))) (pow z 3)))) (+ (/ (* y (+ y (* -1 y))) z) (+ (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)) (/ (* y (pow (+ y (* -1 y)) 2)) (pow z 2))))) (pow z 2))
(/.f64 (-.f64 (neg.f64 y) (*.f64 (/.f64 y z) (/.f64 (fma.f64 x x (*.f64 y y)) z))) (*.f64 z z))
(* z (- (/ x (* (pow y 2) z)) (/ 1 (pow y 2))))
(*.f64 (-.f64 (/.f64 (/.f64 (/.f64 x y) y) z) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) z)
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 x y) #s(literal 0 binary64)) (/.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(* z (- (/ x (* y z)) (/ 1 y)))
(*.f64 (-.f64 (/.f64 (/.f64 x z) y) (/.f64 #s(literal 1 binary64) y)) z)
(* (pow z 2) (- (* -1 (/ (+ (* -1 (* y (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))) (/ (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)) z)) z)) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) x #s(literal -1 binary64)) (/.f64 y z) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ (- (* -1 (/ (pow x 2) (pow y 2))) 1) z)) (/ x (pow y 2)))) z)) (/ 1 (pow y 2))))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) x #s(literal -1 binary64)) z) #s(literal -1 binary64) #s(literal 0 binary64)) z)) z) z)
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1/2 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (/.f64 x z) y)) #s(literal -1/2 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* -1 (* z (- (* -1/2 (/ x z)) 1/2)))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))
(/ (+ (* -1 y) (/ (* y (+ y (* -1 y))) z)) (pow z 2))
(/.f64 (/.f64 (neg.f64 y) z) z)
(/ (+ (* -1 y) (* -1 (/ (- (+ (/ (* y (+ (pow x 2) (pow y 2))) z) (/ (* y (pow (+ y (* -1 y)) 2)) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 y z) #s(literal 0 binary64)) (neg.f64 z)) y) (*.f64 z z))
(/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (+ (/ (* y (* (+ y (* -1 y)) (+ (pow x 2) (pow y 2)))) z) (/ (* (+ y (* -1 y)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (+ (* y (+ (pow x 2) (pow y 2))) (* y (pow (+ y (* -1 y)) 2)))) z)) (* y (+ y (* -1 y)))) z))) (pow z 2))
(/.f64 (-.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) y)) z) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))) (*.f64 z z))
(* -1 (* z (+ (* -1 (/ x (* (pow y 2) z))) (/ 1 (pow y 2)))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 (/.f64 x y) y) z)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1 binary64) #s(literal 0 binary64)) z) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x z) y)))

rewrite193.0ms (2.7%)

Memory
-3.7MiB live, 189.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050312
070312
1282312
22340312
08372303
Stop Event
iter limit
node limit
iter limit
Counts
22 → 572
Calls
Call 1
Inputs
(*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)
(*.f64 #s(literal -1/2 binary64) (/.f64 z y))
(/.f64 z y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
(+.f64 z x)
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
#s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x)))
(/.f64 y (*.f64 x x))
(/.f64 (-.f64 x z) (*.f64 y y))
#s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64))))
(/.f64 (-.f64 x z) y)
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal -1 binary64)) #s(literal -1 binary64)) y)
(*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal -1 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal -1 binary64)) y))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 y))) (neg.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (-.f64 x z)) (neg.f64 (+.f64 x z)) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 x z))) (neg.f64 (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal -2 binary64))) (+.f64 (/.f64 x y) (/.f64 z y)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x z))) (*.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) #s(literal 1 binary64)) (*.f64 (+.f64 x z) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 z (+.f64 x z))) y))
(/.f64 (-.f64 (*.f64 x (/.f64 y z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y z)))
(/.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 x y) (*.f64 z y)) (*.f64 y y))
(/.f64 (*.f64 (-.f64 x z) (neg.f64 (+.f64 x z))) (neg.f64 (*.f64 y (+.f64 x z))))
(/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (*.f64 y (+.f64 x z)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (-.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (-.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))
(/.f64 (neg.f64 (-.f64 x z)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (-.f64 x z) y) (+.f64 x z)) (+.f64 x z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (-.f64 x z)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (-.f64 x z))))
(/.f64 (-.f64 x z) y)
(neg.f64 (/.f64 (neg.f64 (-.f64 x z)) y))
(neg.f64 (/.f64 (-.f64 x z) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (neg.f64 (/.f64 z y)))
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -1 binary64))))
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (neg.f64 (/.f64 z y)))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) (/.f64 z y))) (/.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) (+.f64 (/.f64 x y) (/.f64 z y))))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))) (/.f64 (pow.f64 (/.f64 y z) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))))
(-.f64 (/.f64 (*.f64 x (/.f64 y z)) (*.f64 y (/.f64 y z))) (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 y z))))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 (neg.f64 y) y)))
(-.f64 (/.f64 (*.f64 x y) (*.f64 y y)) (/.f64 (*.f64 z y) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 x z))) (/.f64 (*.f64 z z) (*.f64 y (+.f64 x z))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 y (fma.f64 x x (*.f64 z (+.f64 x z))))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x z)) y) (/.f64 (/.f64 (*.f64 z z) (+.f64 x z)) y))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) y) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (+.f64 x z)))) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 x z) (neg.f64 y)))
(-.f64 (/.f64 x y) (/.f64 z y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 x z))) #s(literal -1 binary64)))
(+.f64 (/.f64 x y) (*.f64 (neg.f64 z) (pow.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 x y) (neg.f64 (/.f64 z y)))

eval108.0ms (1.5%)

Memory
14.3MiB live, 219.8MiB allocated
Compiler

Compiled 31 223 to 3 704 computations (88.1% saved)

prune68.0ms (1%)

Memory
-5.5MiB live, 69.6MiB allocated
Pruning

15 alts after pruning (7 fresh and 8 done)

PrunedKeptTotal
New7522754
Fresh156
Picked145
Done044
Total75415769
Accuracy
100.0%
Counts
769 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.8%
(/.f64 #s(approx (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) z) z)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
36.6%
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
30.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
67.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
36.6%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
33.9%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) z))
63.5%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)))
67.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (/.f64 x (/.f64 y x)) y) #s(literal 1/2 binary64)))
67.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)))
38.3%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
70.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
33.9%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
57.2%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) #s(approx (/ (- x z) (* y y)) (/.f64 (neg.f64 z) (*.f64 y y))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
31.1%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
30.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
Compiler

Compiled 1 266 to 461 computations (63.6% saved)

regimes69.0ms (1%)

Memory
-16.1MiB live, 87.8MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 (neg.f64 z) z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (/.f64 x (/.f64 y x)) y) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (+ (* (/ x y) x) y) 1/2) (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (- x z)) (/.f64 (neg.f64 y) z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) #s(approx (/ (- x z) (* y y)) (/.f64 (neg.f64 z) (*.f64 y y))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (neg.f64 y) (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 1/2 binary64)) y) (*.f64 y (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) (*.f64 y y))
(/.f64 #s(approx (- (* (/ (+ (* y y) (* x x)) y) (* (/ 2 z) (/ y z))) 2) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) z) z)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x y)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))))) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
Calls

6 calls:

23.0ms
z
11.0ms
(*.f64 x x)
9.0ms
x
9.0ms
y
8.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
99.9%1(*.f64 x x)
99.9%1(*.f64 z z)
Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes30.0ms (0.4%)

Memory
-24.9MiB live, 50.6MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y z)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 z z))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ y (+ (* (+ y z) (- y z)) (* x x))) (/.f64 y (*.f64 x x))))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
Calls

6 calls:

6.0ms
x
6.0ms
(*.f64 z z)
5.0ms
y
5.0ms
z
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
87.5%2x
88.6%2y
90.7%2z
99.4%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
87.5%2(*.f64 x x)
90.7%2(*.f64 z z)
Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes4.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
Calls

1 calls:

3.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
94.4%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (+.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
Calls

1 calls:

3.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
94.2%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes15.0ms (0.2%)

Memory
-10.9MiB live, 27.8MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
Calls

6 calls:

3.0ms
x
2.0ms
y
2.0ms
z
2.0ms
(*.f64 x x)
2.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
61.9%3x
59.3%3(*.f64 x x)
58.5%4y
64.6%5z
62.0%4(*.f64 z z)
73.9%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes2.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))
Calls

1 calls:

2.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
63.1%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
Calls

4 calls:

2.0ms
x
2.0ms
z
1.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
1.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
51.0%2(*.f64 z z)
51.0%2z
37.1%3x
60.0%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 20 to 21 computations (-5% saved)

regimes8.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
x
1.0ms
y
1.0ms
z
1.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
1.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
31.1%1x
31.1%1z
31.1%1(*.f64 z z)
31.1%1y
31.1%1(*.f64 x x)
31.1%1(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 24 to 28 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-3.7915810945249585e-150
0.0
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.7915810945249585e-150
0.0
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.7915810945249585e-150
0.0
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.8596086473504563e+151
3.2915807833774693e+152
0.0ms
-3.7915810945249585e-150
0.0
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch2.0ms (0%)

Memory
-42.4MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-3.7915810945249585e-150
0.0
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-3.7915810945249585e-150
0.0
Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify27.0ms (0.4%)

Memory
19.0MiB live, 57.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065594
190594
2107594
3118594
4125594
5128594
6129594
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 z (/.f64 z y))) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (*.f64 (/.f64 z y) z)) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z))))
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(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

soundness914.0ms (12.8%)

Memory
1.6MiB live, 515.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039249
066232
1298230
22819230
09048229
071283
1196283
2567257
32178253
46027249
08163231
06362956
121452434
085922311
03531318
111201250
236651127
085651063
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 754 to 209 computations (72.3% saved)

preprocess141.0ms (2%)

Memory
-5.6MiB live, 187.4MiB allocated
Remove

(negabs y)

(abs x)

(abs z)

Compiler

Compiled 1 584 to 392 computations (75.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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