Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, B

Time bar (total: 4.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze44.0ms (0.9%)

Memory
5.3MiB live, 82.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
66.7%49.9%25%0.1%0%25%0%7
66.7%49.9%25%0.1%0%25%0%8
66.7%49.9%25%0.1%0%25%0%9
80%49.9%12.5%0.1%0%37.4%0%10
80%49.9%12.5%0.1%0%37.4%0%11
80%49.9%12.5%0.1%0%37.4%0%12
Compiler

Compiled 12 to 12 computations (0% saved)

sample1.5s (31.2%)

Memory
16.8MiB live, 1 121.2MiB allocated
Samples
930.0ms8 256×0valid
140.0ms2 026×0invalid
Precisions
Click to see histograms. Total time spent on operations: 760.0ms
ival-mult: 367.0ms (48.3% of total)
ival-sqrt: 164.0ms (21.6% of total)
ival-div: 117.0ms (15.4% of total)
ival-add: 90.0ms (11.8% of total)
exact: 10.0ms (1.3% of total)
ival-true: 8.0ms (1.1% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain153.0ms (3.1%)

Memory
1.9MiB live, 87.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(sqrt.f64 z)
00-0-(+.f64 x (*.f64 y (sqrt.f64 z)))
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 y (sqrt.f64 z))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
33.0ms512×0valid
Compiler

Compiled 104 to 44 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.4% of total)
ival-sqrt: 4.0ms (23.6% of total)
ival-div: 3.0ms (17.7% of total)
ival-add: 2.0ms (11.8% of total)
exact: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess112.0ms (2.3%)

Memory
-1.7MiB live, 74.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03576
112674
241174
397974
4201974
5242074
6255474
7258774
8258774
9258774
0108
0168
1318
2648
31208
42768
54518
65648
76038
86058
06057
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Compiler

Compiled 10 to 10 computations (0% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
Compiler

Compiled 10 to 10 computations (0% saved)

simplify44.0ms (0.9%)

Memory
-34.6MiB live, 13.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
01626
13126
26426
312026
427626
545126
656426
760326
860526
060524
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
x
(*.f64 y (sqrt.f64 z))
y
(sqrt.f64 z)
z
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 x (*.f64 y (sqrt.f64 z)))
(fma.f64 (sqrt.f64 z) y x)
x
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
y
(sqrt.f64 z)
z

localize23.0ms (0.5%)

Memory
31.7MiB live, 31.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x (*.f64 y (sqrt.f64 z)))
accuracy0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
accuracy0
(sqrt.f64 z)
accuracy0.19140625
(*.f64 y (sqrt.f64 z))
Samples
16.0ms256×0valid
Compiler

Compiled 62 to 22 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (35.8% of total)
ival-div: 2.0ms (23.9% of total)
ival-sqrt: 2.0ms (23.9% of total)
ival-add: 1.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.5%)

Memory
-26.3MiB live, 10.8MiB allocated
Counts
5 → 23
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
Outputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
2.0ms
y
@0
((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms
z
@-inf
((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms
z
@inf
((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))
1.0ms
y
@-inf
((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z))

simplify20.0ms (0.4%)

Memory
28.8MiB live, 28.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075221
0273211
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
23 → 22
Calls
Call 1
Inputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
Outputs
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 (* y (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64)) x))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) x))
(* y (+ (sqrt z) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(sqrt z)
(sqrt.f64 z)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x z))) z))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 z))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))

rewrite158.0ms (3.2%)

Memory
3.6MiB live, 232.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
01621
14621
227821
3254621
0973419
Stop Event
iter limit
node limit
iter limit
Counts
5 → 533
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(+.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
Outputs
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (pow.f64 (*.f64 y (fma.f64 (sqrt.f64 z) y x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) (fma.f64 (pow.f64 z #s(literal 9/2 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) #s(literal 2 binary64))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (fma.f64 z y (*.f64 (sqrt.f64 z) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 y (fma.f64 z y (*.f64 (sqrt.f64 z) x))) (-.f64 (*.f64 y (fma.f64 z y (*.f64 (sqrt.f64 z) x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 z) y x))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (sqrt.f64 z) y x) (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 z) y x))
(*.f64 (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (fma.f64 (sqrt.f64 z) y x) (fma.f64 (sqrt.f64 z) y x)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) (*.f64 (fma.f64 (sqrt.f64 z) y x) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) (/.f64 (fma.f64 (sqrt.f64 z) y x) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))))
(*.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) (*.f64 (fma.f64 (sqrt.f64 z) y x) (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) #s(literal -1 binary64)))
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(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) y))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 z)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64))))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 z) y x)))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 z y) y)) (fma.f64 (sqrt.f64 z) y x)))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) (/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z)) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) y))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (sqrt.f64 z)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal 1/4 binary64)))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64))) (fabs.f64 y))
(*.f64 (fabs.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64)))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (pow.f64 z #s(literal 1/4 binary64)))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 y))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 y)) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (fabs.f64 y)))
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (neg.f64 y)))
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 (*.f64 (sqrt.f64 z) y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) y))))
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 z))
(*.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) #s(literal -1 binary64)) y)
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 y) (sqrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))
(*.f64 (neg.f64 (sqrt.f64 z)) y)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (fabs.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (neg.f64 y))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (fabs.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) y))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (neg.f64 y)))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) y))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))
(*.f64 (neg.f64 y) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (exp.f64 (log.f64 y)))
(*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (fabs.f64 y))
(*.f64 (sqrt.f64 z) (neg.f64 y))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (neg.f64 (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y))
(pow.f64 (*.f64 (*.f64 z y) y) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 z) y))
(sqrt.f64 (*.f64 (*.f64 z y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 z) y))
(fabs.f64 (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 z) y))
(exp.f64 (/.f64 (log.f64 (*.f64 (*.f64 z y) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 z) y)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (sqrt.f64 z) y))) (sinh.f64 (log.f64 (*.f64 (sqrt.f64 z) y))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 z))) (sqrt.f64 (neg.f64 (sqrt.f64 z))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z))
(pow.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
(fabs.f64 (neg.f64 (sqrt.f64 z)))
(fabs.f64 (sqrt.f64 z))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/4 binary64) (*.f64 (log.f64 z) #s(literal 1/4 binary64))))
(exp.f64 (/.f64 (log.f64 z) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 z)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 z))) (sinh.f64 (log.f64 (sqrt.f64 z))))

eval131.0ms (2.7%)

Memory
-9.4MiB live, 154.2MiB allocated
Compiler

Compiled 16 378 to 1 699 computations (89.6% saved)

prune22.0ms (0.4%)

Memory
-24.1MiB live, 59.1MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New54212554
Fresh000
Picked101
Done000
Total54312555
Accuracy
100.0%
Counts
555 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
54.0%
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 z) y x)))
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
87.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) (/.f64 y (fma.f64 (sqrt.f64 z) y x)) (*.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y x)))))
45.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x))
76.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 z (/.f64 (*.f64 y y) (fma.f64 (sqrt.f64 z) y x)) (*.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y x)))))
63.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (*.f64 (*.f64 z y) y))))
86.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
90.3%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
83.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z))
49.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
52.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 430 to 320 computations (25.6% saved)

simplify187.0ms (3.9%)

Memory
29.2MiB live, 183.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
032185
056173
198173
2189173
3434173
41258161
53542161
65189161
75763161
86397161
96759161
107148161
08235161
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
(sqrt.f64 (*.f64 z y))
(*.f64 z y)
z
y
(sqrt.f64 y)
x
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 y x)
y
x
(sqrt.f64 z)
z
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x))
(*.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z)) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y z)) x)
(sqrt.f64 (*.f64 z y))
(sqrt.f64 (*.f64 y z))
(*.f64 z y)
(*.f64 y z)
z
y
(sqrt.f64 y)
x
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
#s(approx (+ x (* y (sqrt z))) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 y x)
y
x
(sqrt.f64 z)
z

localize78.0ms (1.6%)

Memory
-24.4MiB live, 176.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 z)
accuracy0
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
accuracy1.4027754066781317
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
accuracy2.862202243427458
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
accuracy0
(*.f64 z y)
accuracy0
(sqrt.f64 y)
accuracy0.09375
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
accuracy7.3868076977058195
(sqrt.f64 (*.f64 z y))
accuracy0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
accuracy0.07421875
(*.f64 (sqrt.f64 z) y)
accuracy0.3973619938567914
(/.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy2.862494865238903
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy13.965222038730543
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
accuracy0
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
accuracy0
(sqrt.f64 z)
accuracy0.0234375
(fma.f64 (sqrt.f64 z) y x)
Samples
28.0ms127×0valid
25.0ms129×0invalid
Compiler

Compiled 368 to 65 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 19.0ms (53% of total)
ival-add: 7.0ms (19.5% of total)
ival-div: 5.0ms (13.9% of total)
ival-sqrt: 5.0ms (13.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.6%)

Memory
32.7MiB live, 71.6MiB allocated
Counts
20 → 48
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
(sqrt.f64 (*.f64 z y))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 y)
(*.f64 z y)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 x)
(* 1/2 (* (/ y x) (sqrt z)))
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)
(* (/ y x) (sqrt z))
(/ (+ x (* y (sqrt z))) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
1/2
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
1
(+ 1 (* (/ y x) (sqrt z)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(sqrt (* y z))
(sqrt y)
(* y z)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (* (sqrt z) (pow (sqrt -1) 2))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt z) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt y) (* z y) (+ (* (/ y x) (sqrt z)) 1))
4.0ms
z
@0
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt y) (* z y) (+ (* (/ y x) (sqrt z)) 1))
3.0ms
z
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt y) (* z y) (+ (* (/ y x) (sqrt z)) 1))
3.0ms
x
@inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt y) (* z y) (+ (* (/ y x) (sqrt z)) 1))
2.0ms
y
@inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (/ 1 2) (* (/ 1 2) (+ (* (sqrt (* z y)) (sqrt y)) x)) (+ (* (sqrt (* z y)) (sqrt y)) x) (sqrt (* z y)) (* (+ (* (/ y x) (sqrt z)) 1) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (sqrt y) (* z y) (+ (* (/ y x) (sqrt z)) 1))

simplify113.0ms (2.3%)

Memory
-1.0MiB live, 45.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127485
0468465
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
48 → 47
Calls
Call 1
Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 x)
(* 1/2 (* (/ y x) (sqrt z)))
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)
(* (/ y x) (sqrt z))
(/ (+ x (* y (sqrt z))) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
x
(* x (+ 1 (* (/ y x) (sqrt z))))
1/2
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
1
(+ 1 (* (/ y x) (sqrt z)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(sqrt (* y z))
(sqrt y)
(* y z)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (* (sqrt z) (pow (sqrt -1) 2))))))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt z) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
Outputs
(* 1/2 (* y (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 (* (/ y x) (sqrt z)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) x)
(* (/ y x) (sqrt z))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/ (+ x (* y (sqrt z))) x)
(/.f64 (fma.f64 (sqrt.f64 z) y x) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* (/ y x) (sqrt z)))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) x))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64)) x))
(sqrt (* y z))
(sqrt.f64 (*.f64 y z))
(sqrt y)
(sqrt.f64 y)
(* y z)
(*.f64 y z)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)
(* y (+ (sqrt z) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y))
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) y))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 z))
(* -1 (* y (+ (* -1/2 (/ x y)) (* 1/2 (* (sqrt z) (pow (sqrt -1) 2))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) y))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 z)))
(* -1 (* y (+ (* -1 (/ x y)) (* (sqrt z) (pow (sqrt -1) 2)))))
(neg.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 z) (neg.f64 (/.f64 x y))) y))
(* -1 (* (sqrt (* y z)) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 y)))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y)) y))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(sqrt z)
(sqrt.f64 z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1/2 binary64) z)) z)
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (neg.f64 (/.f64 x z))) z))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x)) (sqrt.f64 z))
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1/2 binary64) z)) z))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) (sqrt.f64 z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) z))

rewrite353.0ms (7.2%)

Memory
-21.1MiB live, 212.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032157
056147
1182147
21104147
09137147
Stop Event
iter limit
node limit
iter limit
Counts
20 → 824
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 z) y x)
(sqrt.f64 z)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x))
(fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x)
(sqrt.f64 (*.f64 z y))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 y)
(*.f64 z y)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
Outputs
(*.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y))) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))))
(*.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 (neg.f64 x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64) (fma.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (*.f64 (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x))) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))
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(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64))
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 y (sqrt.f64 z))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 x (*.f64 y (sqrt.f64 z)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 x (*.f64 y (sqrt.f64 z)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 x (*.f64 y (sqrt.f64 z)))))) (/.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 x (*.f64 y (sqrt.f64 z)))))))
(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y x))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))

eval89.0ms (1.8%)

Memory
13.0MiB live, 249.6MiB allocated
Compiler

Compiled 19 845 to 2 600 computations (86.9% saved)

prune24.0ms (0.5%)

Memory
0.9MiB live, 79.8MiB allocated
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New66611677
Fresh527
Picked325
Done000
Total67415689
Accuracy
100.0%
Counts
689 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.1%
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
99.6%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
45.5%
(*.f64 (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x) #s(literal 1/2 binary64))
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
49.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x))
87.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) (/.f64 y (fma.f64 (sqrt.f64 z) y x)) (*.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y x)))))
63.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (*.f64 (*.f64 z y) y))))
86.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
83.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
49.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
86.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
89.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
89.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
39.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
52.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 495 to 386 computations (22% saved)

simplify237.0ms (4.9%)

Memory
19.6MiB live, 213.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
cost-diff1792
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
cost-diff0
(fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
cost-diff384
(/.f64 y (/.f64 x (sqrt.f64 z)))
cost-diff1024
(*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
cost-diff0
(*.f64 y (/.f64 (sqrt.f64 z) x))
cost-diff0
(fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
cost-diff1024
(*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
cost-diff0
(sqrt.f64 z)
cost-diff0
(*.f64 (sqrt.f64 z) y)
cost-diff0
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
cost-diff0
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
cost-diff0
(sqrt.f64 z)
cost-diff0
(fma.f64 y (sqrt.f64 z) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
cost-diff1088
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036245
060222
1103220
2193220
3453220
41233208
52904208
64457208
75546208
86046208
96258208
106404208
117775208
08429208
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
#s(literal 1 binary64)
(fma.f64 y (sqrt.f64 z) x)
y
(sqrt.f64 z)
z
x
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 y (/.f64 (sqrt.f64 z) x))
y
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 y (/.f64 x (sqrt.f64 z)))
y
(/.f64 x (sqrt.f64 z))
x
(sqrt.f64 z)
z
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
x
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 y x)
y
(sqrt.f64 z)
z
#s(literal 1/2 binary64)
Outputs
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x))
#s(literal 1 binary64)
(fma.f64 y (sqrt.f64 z) x)
(fma.f64 (sqrt.f64 z) y x)
y
(sqrt.f64 z)
z
x
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) x) y)
y
(/.f64 (sqrt.f64 z) x)
(sqrt.f64 z)
z
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 y (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 z) x) y)
y
(/.f64 x (sqrt.f64 z))
x
(sqrt.f64 z)
z
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
x
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 y x)
y
(sqrt.f64 z)
z
#s(literal 1/2 binary64)

localize117.0ms (2.4%)

Memory
-3.2MiB live, 200.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
accuracy0.6444109582288206
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
accuracy2.138991026443156
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
accuracy5.60762546095996
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
accuracy0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
accuracy0.19140625
(/.f64 x (sqrt.f64 z))
accuracy2.047209990742298
(/.f64 y (/.f64 x (sqrt.f64 z)))
accuracy6.210517264809402
(*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
accuracy0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
accuracy0.2109375
(/.f64 (sqrt.f64 z) x)
accuracy1.8078819170406804
(*.f64 y (/.f64 (sqrt.f64 z) x))
accuracy6.210517264809402
(*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
accuracy0
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
accuracy0
(sqrt.f64 z)
accuracy0.19140625
(*.f64 (sqrt.f64 z) y)
accuracy32.47204050109125
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
accuracy0
(sqrt.f64 z)
accuracy0.08203125
(fma.f64 y (sqrt.f64 z) x)
accuracy0.12109375
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
accuracy0.265625
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
Samples
92.0ms256×0valid
Compiler

Compiled 467 to 72 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 16.0ms (36.6% of total)
ival-div: 14.0ms (32.1% of total)
ival-add: 10.0ms (22.9% of total)
ival-sqrt: 2.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series44.0ms (0.9%)

Memory
0.9MiB live, 78.1MiB allocated
Counts
22 → 100
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 y (sqrt.f64 z) x)
(sqrt.f64 z)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(/.f64 y (/.f64 x (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 z) x)
(/.f64 x (sqrt.f64 z))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* (/ 1 y) (sqrt (/ 1 z)))
(+ (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* x (- (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)
(* (/ y x) (sqrt z))
(* 2 (* (/ x y) (sqrt (/ 1 z))))
(* x (+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z))))))
(* x (+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z)))))))
(* x (+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -2 (/ x (* (pow y 4) (pow z 2)))) (* -2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z)))))))
(* (/ 1 x) (sqrt z))
(* x (sqrt (/ 1 z)))
(/ (+ x (* y (sqrt z))) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(/ 1 x)
(/ (+ 1 (* -1 (* (/ y x) (sqrt z)))) x)
(/ (- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z))) x)
(/ (- (+ 1 (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z)))) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
1/2
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
2
(+ 2 (* -2 (* (/ y x) (sqrt z))))
(- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z))))
(- (+ 2 (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -2 (/ (* (pow y 2) z) (pow x 2))) (* 2 (* (/ y x) (sqrt z)))))
1
(+ 1 (* (/ y x) (sqrt z)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (/ (- (* (/ y x) (sqrt z)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) z) x) (* y (sqrt z))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1) x))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(+ 2 (* -1 (/ (- (* -2 (/ (* (pow y 2) z) x)) (* -2 (* y (sqrt z)))) x)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -2 (* (pow y 2) z))) x)) (* -2 (* y (sqrt z)))) x)))
(+ (* -1 (* (/ y (pow x 2)) (sqrt z))) (/ 1 x))
(+ (* y (- (/ (* y z) (pow x 3)) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -1 (/ z (pow x 3))))) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(+ 2 (* y (- (* 2 (/ (* y z) (pow x 2))) (* 2 (* (/ 1 x) (sqrt z))))))
(+ 2 (* y (- (* y (- (* -2 (* (/ y (pow x 3)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 2))))) (* 2 (* (/ 1 x) (sqrt z))))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(/ (+ (sqrt (/ 1 z)) (* -1 (/ x (* y z)))) y)
(/ (- (+ (sqrt (/ 1 z)) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z))) y)
(/ (- (+ (sqrt (/ 1 z)) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z)))) y)
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))
(/ (+ (* -2 (/ (pow x 2) (* y z))) (* 2 (* x (sqrt (/ 1 z))))) y)
(/ (- (+ (* 2 (* x (sqrt (/ 1 z)))) (* 2 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ (pow x 2) (* y z)))) y)
(/ (- (+ (* -2 (/ (pow x 4) (* (pow y 3) (pow z 2)))) (* 2 (* x (sqrt (/ 1 z))))) (+ (* -2 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 2) (* y z))))) y)
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (/ x (* y z))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (/ x z)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 2))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (/ x z)) y))) y))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* 2 (/ (pow x 2) (* y z)))) y))
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* 2 (* (/ (pow x 3) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 2) z))) y))) y))
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 4) (* y (pow z 2)))) (* 2 (* (pow x 3) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ (pow x 2) z))) y))) y))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* 1/2 (+ x (* y (sqrt z))))
(/ 1 (+ x (* y (sqrt z))))
(sqrt z)
(* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))
(/ 2 (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 (+ 1 (* (/ y x) (sqrt z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(/ (+ (* -1 (/ x (pow y 2))) (* (/ 1 y) (sqrt z))) z)
(/ (- (+ (* (/ 1 y) (sqrt z)) (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2))) z)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) z))) (* (/ 1 y) (sqrt z))) (+ (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2)))) z)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))
(/ (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (* (/ x y) (sqrt z)))) z)
(/ (- (+ (* 2 (* (/ x y) (sqrt z))) (* 2 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ (pow x 2) (pow y 2)))) z)
(/ (- (+ (* -2 (/ (pow x 4) (* (pow y 4) z))) (* 2 (* (/ x y) (sqrt z)))) (+ (* -2 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ (pow x 2) (pow y 2))))) z)
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (/ 1 y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ 1 y) (sqrt z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4))) (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -2 (* (/ x y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* -2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ x y) (sqrt z)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ x y) (sqrt z)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 4) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ x y) (sqrt z)))) z))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
z
@-inf
((/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) x) (/ y (/ x (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) (/ x (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2))) (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (/ (sqrt z) x) (/ x (sqrt z)) (+ (* (/ y x) (sqrt z)) 1))
7.0ms
z
@inf
((/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) x) (/ y (/ x (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) (/ x (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2))) (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (/ (sqrt z) x) (/ x (sqrt z)) (+ (* (/ y x) (sqrt z)) 1))
7.0ms
x
@0
((/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) x) (/ y (/ x (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) (/ x (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2))) (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (/ (sqrt z) x) (/ x (sqrt z)) (+ (* (/ y x) (sqrt z)) 1))
3.0ms
z
@0
((/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) x) (/ y (/ x (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) (/ x (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2))) (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (/ (sqrt z) x) (/ x (sqrt z)) (+ (* (/ y x) (sqrt z)) 1))
3.0ms
x
@-inf
((/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (* y (/ (sqrt z) x)) 1/2) 1/2) (* y (/ (sqrt z) x)) (* (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) x) (/ y (/ x (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (+ (* (/ y (/ x (sqrt z))) 1/2) 1/2) (/ x (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2))) (/ 1 (* (+ (* (/ y x) (sqrt z)) 1) 1/2)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ y x) (sqrt z)) 1) 1/2) (/ (sqrt z) x) (/ x (sqrt z)) (+ (* (/ y x) (sqrt z)) 1))

simplify93.0ms (1.9%)

Memory
-7.4MiB live, 151.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04671912
017131848
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
100 → 99
Calls
Call 1
Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* (/ 1 y) (sqrt (/ 1 z)))
(+ (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* x (- (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* (/ y x) (sqrt z)))
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)
(* (/ y x) (sqrt z))
(* 2 (* (/ x y) (sqrt (/ 1 z))))
(* x (+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z))))))
(* x (+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z)))))))
(* x (+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -2 (/ x (* (pow y 4) (pow z 2)))) (* -2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z)))))))
(* (/ 1 x) (sqrt z))
(* x (sqrt (/ 1 z)))
(/ (+ x (* y (sqrt z))) x)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(/ 1 x)
(/ (+ 1 (* -1 (* (/ y x) (sqrt z)))) x)
(/ (- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z))) x)
(/ (- (+ 1 (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z)))) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
1/2
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
2
(+ 2 (* -2 (* (/ y x) (sqrt z))))
(- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z))))
(- (+ 2 (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -2 (/ (* (pow y 2) z) (pow x 2))) (* 2 (* (/ y x) (sqrt z)))))
1
(+ 1 (* (/ y x) (sqrt z)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (/ (- (* (/ y x) (sqrt z)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) z) x) (* y (sqrt z))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1) x))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(+ 2 (* -1 (/ (- (* -2 (/ (* (pow y 2) z) x)) (* -2 (* y (sqrt z)))) x)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -2 (* (pow y 2) z))) x)) (* -2 (* y (sqrt z)))) x)))
(+ (* -1 (* (/ y (pow x 2)) (sqrt z))) (/ 1 x))
(+ (* y (- (/ (* y z) (pow x 3)) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -1 (/ z (pow x 3))))) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(+ 2 (* y (- (* 2 (/ (* y z) (pow x 2))) (* 2 (* (/ 1 x) (sqrt z))))))
(+ 2 (* y (- (* y (- (* -2 (* (/ y (pow x 3)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 2))))) (* 2 (* (/ 1 x) (sqrt z))))))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(/ (+ (sqrt (/ 1 z)) (* -1 (/ x (* y z)))) y)
(/ (- (+ (sqrt (/ 1 z)) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z))) y)
(/ (- (+ (sqrt (/ 1 z)) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z)))) y)
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))
(/ (+ (* -2 (/ (pow x 2) (* y z))) (* 2 (* x (sqrt (/ 1 z))))) y)
(/ (- (+ (* 2 (* x (sqrt (/ 1 z)))) (* 2 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ (pow x 2) (* y z)))) y)
(/ (- (+ (* -2 (/ (pow x 4) (* (pow y 3) (pow z 2)))) (* 2 (* x (sqrt (/ 1 z))))) (+ (* -2 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 2) (* y z))))) y)
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (/ x (* y z))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (/ x z)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 2))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (/ x z)) y))) y))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* 2 (/ (pow x 2) (* y z)))) y))
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* 2 (* (/ (pow x 3) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 2) z))) y))) y))
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 4) (* y (pow z 2)))) (* 2 (* (pow x 3) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ (pow x 2) z))) y))) y))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* 1/2 (+ x (* y (sqrt z))))
(/ 1 (+ x (* y (sqrt z))))
(sqrt z)
(* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))
(/ 2 (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 (+ 1 (* (/ y x) (sqrt z))))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(/ (+ (* -1 (/ x (pow y 2))) (* (/ 1 y) (sqrt z))) z)
(/ (- (+ (* (/ 1 y) (sqrt z)) (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2))) z)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) z))) (* (/ 1 y) (sqrt z))) (+ (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2)))) z)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))
(/ (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (* (/ x y) (sqrt z)))) z)
(/ (- (+ (* 2 (* (/ x y) (sqrt z))) (* 2 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ (pow x 2) (pow y 2)))) z)
(/ (- (+ (* -2 (/ (pow x 4) (* (pow y 4) z))) (* 2 (* (/ x y) (sqrt z)))) (+ (* -2 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ (pow x 2) (pow y 2))))) z)
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (/ 1 y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ 1 y) (sqrt z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4))) (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -2 (* (/ x y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* -2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ x y) (sqrt z)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ x y) (sqrt z)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 4) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ x y) (sqrt z)))) z))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
Outputs
(* 1/2 (* y (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(* (/ 1 y) (sqrt (/ 1 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))
(+ (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 x (*.f64 (*.f64 y y) z))))
(+ (* x (- (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(fma.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(+ (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 z z))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))) x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z)))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 (* (/ y x) (sqrt z)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) x)
(* (/ y x) (sqrt z))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(* 2 (* (/ x y) (sqrt (/ 1 z))))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* x (+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 (*.f64 y y) z)))) x)
(* x (+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z))) x)) x)
(* x (+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -2 (/ x (* (pow y 4) (pow z 2)))) (* -2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))) x (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z)))) x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) x)
(* (/ 1 x) (sqrt z))
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))
(* x (sqrt (/ 1 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(/ (+ x (* y (sqrt z))) x)
(/.f64 (fma.f64 (sqrt.f64 z) y x) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (* (/ y x) (sqrt z)))) x)
(/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z))) x)
(/.f64 (-.f64 (fma.f64 (*.f64 y y) (/.f64 z (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)
(/ (- (+ 1 (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z)))) x)
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) (neg.f64 (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x)))))) x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -2 (* (/ y x) (sqrt z))))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64))
(- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z))))
(-.f64 (fma.f64 (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)))
(- (+ 2 (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -2 (/ (* (pow y 2) z) (pow x 2))) (* 2 (* (/ y x) (sqrt z)))))
(-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (sqrt.f64 z) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 y y) z)) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* (/ y x) (sqrt z)))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) x))
(* -1 (/ (- (* (/ y x) (sqrt z)) 1) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) z) x) (* y (sqrt z))) x)) 1) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) z) x) (*.f64 (sqrt.f64 z) y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 y y) z)) x)) (*.f64 (sqrt.f64 z) y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(+ 2 (* -1 (/ (- (* -2 (/ (* (pow y 2) z) x)) (* -2 (* y (sqrt z)))) x)))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (*.f64 y y) z) x) (*.f64 (sqrt.f64 z) y))) x) #s(literal -1 binary64) #s(literal 2 binary64))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* -2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* -2 (* (pow y 2) z))) x)) (* -2 (* y (sqrt z)))) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 y y) z))) x) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y))) x) #s(literal -1 binary64) #s(literal 2 binary64))
(+ (* -1 (* (/ y (pow x 2)) (sqrt z))) (/ 1 x))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x x))) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (/ (* y z) (pow x 3)) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(fma.f64 (fma.f64 y (/.f64 z (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 z))) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -1 (/ z (pow x 3))))) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 z (pow.f64 x #s(literal 3 binary64))))) y (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 z))) y (/.f64 #s(literal 1 binary64) x))
(+ 2 (* y (- (* 2 (/ (* y z) (pow x 2))) (* 2 (* (/ 1 x) (sqrt z))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y (/.f64 z (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) y #s(literal 2 binary64))
(+ 2 (* y (- (* y (- (* -2 (* (/ y (pow x 3)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 2))))) (* 2 (* (/ 1 x) (sqrt z))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 z (*.f64 x x)))) y (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) y #s(literal 2 binary64))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)
(/ (+ (sqrt (/ 1 z)) (* -1 (/ x (* y z)))) y)
(/.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y)
(/ (- (+ (sqrt (/ 1 z)) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z))) y)
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 x y) z)) y)
(/ (- (+ (sqrt (/ 1 z)) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z)))) y)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 z z)) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 x y) z))) y)
(* y (+ (sqrt z) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)
(/ (+ (* -2 (/ (pow x 2) (* y z))) (* 2 (* x (sqrt (/ 1 z))))) y)
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 z y))) y)
(/ (- (+ (* 2 (* x (sqrt (/ 1 z)))) (* 2 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ (pow x 2) (* y z)))) y)
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 z y))) y)
(/ (- (+ (* -2 (/ (pow x 4) (* (pow y 3) (pow z 2)))) (* 2 (* x (sqrt (/ 1 z))))) (+ (* -2 (* (/ (pow x 3) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 2) (* y z))))) y)
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 z z) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 z y)))) y)
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (/ x (* y z))) y))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z)) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (/ x z)) y))) y))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (/.f64 x z)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 2))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (/ x z)) y))) y))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 z z)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) y)) (/.f64 x z)) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) y))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y))
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) y))
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* 2 (/ (pow x 2) (* y z)))) y))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 z y))) y))
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* 2 (* (/ (pow x 3) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 2) z))) y))) y))
(neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (/.f64 (*.f64 x x) z))) y))) y))
(* -1 (/ (+ (* -2 (* x (sqrt (/ 1 z)))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 4) (* y (pow z 2)))) (* 2 (* (pow x 3) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ (pow x 2) z))) y))) y))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (*.f64 z z)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))) y) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) z))) y))) y))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y)) y))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(/ 1 (+ x (* y (sqrt z))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x))
(sqrt z)
(sqrt.f64 z)
(* 1/2 (* x (+ 1 (* (/ y x) (sqrt z)))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))
(/ 2 (+ 1 (* (/ y x) (sqrt z))))
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)))
(* 1/2 (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)
(/ (+ (* -1 (/ x (pow y 2))) (* (/ 1 y) (sqrt z))) z)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 x (*.f64 y y)))) z)
(/ (- (+ (* (/ 1 y) (sqrt z)) (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2))) z)
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z))) (/.f64 x (*.f64 y y))) z)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) z))) (* (/ 1 y) (sqrt z))) (+ (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2)))) z)
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) z)))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y y)))) z)
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1/2 binary64) z)) z)
(/ (+ (* -2 (/ (pow x 2) (pow y 2))) (* 2 (* (/ x y) (sqrt z)))) z)
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (sqrt.f64 z) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 y y))) z)
(/ (- (+ (* 2 (* (/ x y) (sqrt z))) (* 2 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ (pow x 2) (pow y 2)))) z)
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x y) (sqrt.f64 z) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 y y))) z)
(/ (- (+ (* -2 (/ (pow x 4) (* (pow y 4) z))) (* 2 (* (/ x y) (sqrt z)))) (+ (* -2 (* (/ (pow x 3) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ (pow x 2) (pow y 2))))) z)
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (sqrt.f64 z) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) z))) (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 y y)))) z)
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)) z)
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 z))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z))
(* -1 (* (/ 1 y) (sqrt (/ 1 z))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ 1 y) (sqrt z))) z))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (/.f64 x (*.f64 y y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))) (neg.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4))) (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))) z) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) z))) z))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x z))) z))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x)) (sqrt.f64 z))
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1/2 binary64) z)) z))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) (sqrt.f64 z)))
(* -2 (* (/ x y) (sqrt (/ 1 z))))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (/ (+ (* -2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ x y) (sqrt z)))) z))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (sqrt.f64 z) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y y)))) z))
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ x y) (sqrt z)))) z))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (sqrt.f64 z) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 4) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 3) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* (pow x 2) z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ x y) (sqrt z)))) z))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) (sqrt.f64 z) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) z) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))) z) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) z))) z))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))
(neg.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) z))

rewrite202.0ms (4.1%)

Memory
-5.8MiB live, 250.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036213
060202
1224200
21271200
08440200
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 081
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x))
(fma.f64 y (sqrt.f64 z) x)
(sqrt.f64 z)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(/.f64 y (/.f64 x (sqrt.f64 z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 z) x)
(/.f64 x (sqrt.f64 z))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 z) y x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 (sqrt.f64 z) y x)))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (*.f64 (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 z) y (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 z (*.f64 y y)))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x))) (fma.f64 (sqrt.f64 z) y (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 z (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 z) y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x (sqrt.f64 z)) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x (sqrt.f64 z)) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) (/.f64 y (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 z))) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 z) y) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) x) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) x) (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (sqrt.f64 z) x)) y))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x (sqrt.f64 z)) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x (sqrt.f64 z)) y)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x (sqrt.f64 z)) y)))) (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (/.f64 x (sqrt.f64 z)) y)))))
(+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))

eval113.0ms (2.3%)

Memory
-10.5MiB live, 175.6MiB allocated
Compiler

Compiled 23 485 to 3 572 computations (84.8% saved)

prune21.0ms (0.4%)

Memory
21.4MiB live, 60.3MiB allocated
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New8002802
Fresh178
Picked235
Done022
Total80314817
Accuracy
100.0%
Counts
817 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.1%
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
49.0%
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))))
48.9%
(/.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (+ (* y (sqrt z)) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))))
45.5%
(*.f64 (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x) #s(literal 1/2 binary64))
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
49.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x))
63.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (*.f64 (*.f64 z y) y))))
86.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
83.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
49.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
89.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
89.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
39.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
52.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 392 to 315 computations (19.6% saved)

simplify96.0ms (2%)

Memory
-8.0MiB live, 73.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y))
cost-diff0
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
cost-diff0
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
cost-diff0
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
cost-diff704
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
cost-diff0
(*.f64 (sqrt.f64 z) y)
cost-diff0
#s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))
cost-diff1088
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))))
cost-diff0
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
cost-diff0
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
cost-diff0
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
cost-diff0
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
cost-diff1024
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047341
077336
1137336
2270336
3715336
42642324
56483324
08061310
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(/.f64 y x)
y
x
(sqrt.f64 z)
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))
#s(literal 1 binary64)
#s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(/.f64 x z)
x
#s(literal 1/2 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y))
(*.f64 x x)
x
(*.f64 (*.f64 z y) y)
(*.f64 z y)
z
y
#s(literal 1/2 binary64)
(-.f64 x (*.f64 y (sqrt.f64 z)))
(*.f64 y (sqrt.f64 z))
(sqrt.f64 z)
Outputs
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
y
x
(sqrt.f64 z)
z
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y)) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y)) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) y)
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(*.f64 (/.f64 (sqrt.f64 z) x) y)
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
x
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)))
#s(literal 1 binary64)
#s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)
z
y
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(/.f64 x z)
x
#s(literal 1/2 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y))) (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal -1/2 binary64))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y))
(fma.f64 (*.f64 (neg.f64 y) y) z (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 z y) y)
(*.f64 (*.f64 y z) y)
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 1/2 binary64)
(-.f64 x (*.f64 y (sqrt.f64 z)))
(-.f64 x (*.f64 (sqrt.f64 z) y))
(*.f64 y (sqrt.f64 z))
(*.f64 (sqrt.f64 z) y)
(sqrt.f64 z)

localize103.0ms (2.1%)

Memory
15.7MiB live, 126.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(*.f64 (*.f64 z y) y)
accuracy0.19140625
(*.f64 y (sqrt.f64 z))
accuracy2.945298050811441
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y))
accuracy28.96859651992051
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
accuracy0
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
accuracy0.08203125
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
accuracy0.10546875
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
accuracy10.750133848629673
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
accuracy0.12109375
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))
accuracy0.19140625
(*.f64 (sqrt.f64 z) y)
accuracy0.265625
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))))
accuracy32.47204050109125
#s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))
accuracy0.19140625
(*.f64 (sqrt.f64 z) y)
accuracy1.5273317172080871
(/.f64 (*.f64 (sqrt.f64 z) y) x)
accuracy6.210517264809402
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
accuracy32.30515655752001
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
accuracy0
(sqrt.f64 z)
accuracy0
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
accuracy2.138991026443156
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
accuracy6.208992188301123
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
Samples
77.0ms256×0valid
Compiler

Compiled 593 to 89 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 28.0ms (52.1% of total)
ival-div: 13.0ms (24.2% of total)
ival-add: 7.0ms (13% of total)
ival-sqrt: 4.0ms (7.4% of total)
ival-sub: 2.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series58.0ms (1.2%)

Memory
-27.9MiB live, 58.7MiB allocated
Counts
25 → 108
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))
#s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y))
(*.f64 x x)
(sqrt.f64 z)
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(*.f64 y (sqrt.f64 z))
(*.f64 (*.f64 z y) y)
Outputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* (/ y x) (sqrt z))
(/ (+ x (* y (sqrt z))) x)
(* 1/2 (* (/ y x) (sqrt z)))
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)
(* (/ 1 y) (sqrt (/ 1 z)))
(+ (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* x (- (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(* y (sqrt (/ 1 z)))
(+ (* y (sqrt (/ 1 z))) (/ x z))
(* -1/2 (* (pow y 2) z))
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2)))
(* -1 (* (pow y 2) z))
(- (pow x 2) (* (pow y 2) z))
(pow x 2)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
1
(+ 1 (* (/ y x) (sqrt z)))
1/2
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(/ 1 x)
(/ (+ 1 (* -1 (* (/ y x) (sqrt z)))) x)
(/ (- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z))) x)
(/ (- (+ 1 (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z)))) x)
(/ x z)
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2)))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (/ (- (* (/ y x) (sqrt z)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) z) x) (* y (sqrt z))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1) x))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
(+ (* -1 (* (/ y (pow x 2)) (sqrt z))) (/ 1 x))
(+ (* y (- (/ (* y z) (pow x 3)) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -1 (/ z (pow x 3))))) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(+ (* -1 (* (pow y 2) z)) (pow x 2))
(* (pow y 2) z)
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))
(/ (+ (sqrt (/ 1 z)) (* -1 (/ x (* y z)))) y)
(/ (- (+ (sqrt (/ 1 z)) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z))) y)
(/ (- (+ (sqrt (/ 1 z)) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z)))) y)
(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* (pow y 2) (+ (* -1/2 z) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) z))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (/ x (* y z))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (/ x z)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 2))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (/ x z)) y))) y))
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
(* 1/2 (+ x (* y (sqrt z))))
(/ 1 (+ x (* y (sqrt z))))
(/ (+ x (* y (sqrt z))) z)
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))))
(sqrt z)
(sqrt (/ 1 z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))
(/ (+ (* -1 (/ x (pow y 2))) (* (/ 1 y) (sqrt z))) z)
(/ (- (+ (* (/ 1 y) (sqrt z)) (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2))) z)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) z))) (* (/ 1 y) (sqrt z))) (+ (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2)))) z)
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z))))
(* z (- (/ (pow x 2) z) (pow y 2)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
(* -1 (* (/ 1 y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ 1 y) (sqrt z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4))) (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2)))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -1 (pow y 2)))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
Calls

9 calls:

TimeVariablePointExpression
24.0ms
x
@inf
((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (* (sqrt z) y) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (- (* x x) (* (* z y) y)) 1/2) (- x (* y (sqrt z)))) (* (- (* x x) (* (* z y) y)) 1/2) (- (* x x) (* (* z y) y)) (* x x) (sqrt z) (/ (* (sqrt z) y) x) (sqrt (/ 1 z)) (* y (sqrt z)) (* (* z y) y))
9.0ms
z
@-inf
((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (* (sqrt z) y) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (- (* x x) (* (* z y) y)) 1/2) (- x (* y (sqrt z)))) (* (- (* x x) (* (* z y) y)) 1/2) (- (* x x) (* (* z y) y)) (* x x) (sqrt z) (/ (* (sqrt z) y) x) (sqrt (/ 1 z)) (* y (sqrt z)) (* (* z y) y))
4.0ms
z
@0
((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (* (sqrt z) y) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (- (* x x) (* (* z y) y)) 1/2) (- x (* y (sqrt z)))) (* (- (* x x) (* (* z y) y)) 1/2) (- (* x x) (* (* z y) y)) (* x x) (sqrt z) (/ (* (sqrt z) y) x) (sqrt (/ 1 z)) (* y (sqrt z)) (* (* z y) y))
3.0ms
z
@inf
((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (* (sqrt z) y) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (- (* x x) (* (* z y) y)) 1/2) (- x (* y (sqrt z)))) (* (- (* x x) (* (* z y) y)) 1/2) (- (* x x) (* (* z y) y)) (* x x) (sqrt z) (/ (* (sqrt z) y) x) (sqrt (/ 1 z)) (* y (sqrt z)) (* (* z y) y))
3.0ms
y
@-inf
((* (+ (* (/ y x) (sqrt z)) 1) x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ y x) (sqrt z)) 1) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ 1/2 (/ 1 (+ (* y (sqrt z)) x))) (/ 1 (+ (* y (sqrt z)) x)) (+ (* y (sqrt z)) x) (* (sqrt z) y) (* (+ (* (sqrt (/ 1 z)) y) (/ x z)) z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/ (* (- (* x x) (* (* z y) y)) 1/2) (- x (* y (sqrt z)))) (* (- (* x x) (* (* z y) y)) 1/2) (- (* x x) (* (* z y) y)) (* x x) (sqrt z) (/ (* (sqrt z) y) x) (sqrt (/ 1 z)) (* y (sqrt z)) (* (* z y) y))

simplify69.0ms (1.4%)

Memory
31.8MiB live, 68.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04041826
014571769
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
108 → 107
Calls
Call 1
Inputs
(* y (sqrt z))
(+ x (* y (sqrt z)))
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* (/ y x) (sqrt z))
(/ (+ x (* y (sqrt z))) x)
(* 1/2 (* (/ y x) (sqrt z)))
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)
(* (/ 1 y) (sqrt (/ 1 z)))
(+ (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* x (- (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(+ (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(* y (sqrt (/ 1 z)))
(+ (* y (sqrt (/ 1 z))) (/ x z))
(* -1/2 (* (pow y 2) z))
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2)))
(* -1 (* (pow y 2) z))
(- (pow x 2) (* (pow y 2) z))
(pow x 2)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
1
(+ 1 (* (/ y x) (sqrt z)))
1/2
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(/ 1 x)
(/ (+ 1 (* -1 (* (/ y x) (sqrt z)))) x)
(/ (- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z))) x)
(/ (- (+ 1 (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z)))) x)
(/ x z)
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2)))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (/ (- (* (/ y x) (sqrt z)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) z) x) (* y (sqrt z))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1) x))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
(+ (* -1 (* (/ y (pow x 2)) (sqrt z))) (/ 1 x))
(+ (* y (- (/ (* y z) (pow x 3)) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(+ (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -1 (/ z (pow x 3))))) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(+ (* -1 (* (pow y 2) z)) (pow x 2))
(* (pow y 2) z)
(* y (+ (sqrt z) (/ x y)))
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))
(/ (+ (sqrt (/ 1 z)) (* -1 (/ x (* y z)))) y)
(/ (- (+ (sqrt (/ 1 z)) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z))) y)
(/ (- (+ (sqrt (/ 1 z)) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z)))) y)
(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* (pow y 2) (+ (* -1/2 z) (* 1/2 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) z))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (/ x (* y z))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (/ x z)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 2))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (/ x z)) y))) y))
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
(* 1/2 (+ x (* y (sqrt z))))
(/ 1 (+ x (* y (sqrt z))))
(/ (+ x (* y (sqrt z))) z)
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))))
(sqrt z)
(sqrt (/ 1 z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))
(/ (+ (* -1 (/ x (pow y 2))) (* (/ 1 y) (sqrt z))) z)
(/ (- (+ (* (/ 1 y) (sqrt z)) (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2))) z)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) z))) (* (/ 1 y) (sqrt z))) (+ (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2)))) z)
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z))))
(* z (- (/ (pow x 2) z) (pow y 2)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
(* -1 (* (/ 1 y) (sqrt (/ 1 z))))
(* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ 1 y) (sqrt z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4))) (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(* -1/2 (* y (sqrt z)))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(* -1 (* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2)))))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -1 (pow y 2)))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
Outputs
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(fma.f64 (sqrt.f64 z) y x)
(* 1/2 (* y (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(* (/ y x) (sqrt z))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/ (+ x (* y (sqrt z))) x)
(/.f64 (fma.f64 (sqrt.f64 z) y x) x)
(* 1/2 (* (/ y x) (sqrt z)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x)
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) x)
(* (/ 1 y) (sqrt (/ 1 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))
(+ (* -1 (/ x (* (pow y 2) z))) (* (/ 1 y) (sqrt (/ 1 z))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 x (*.f64 (*.f64 y y) z))))
(+ (* x (- (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3)))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(fma.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(+ (* x (- (* x (- (* -1 (/ x (* (pow y 4) (pow z 2)))) (* -1 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (/ 1 (* (pow y 2) z)))) (* (/ 1 y) (sqrt (/ 1 z))))
(fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (*.f64 z z))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))))) x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z)))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(* y (sqrt (/ 1 z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(+ (* y (sqrt (/ 1 z))) (/ x z))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(* -1/2 (* (pow y 2) z))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) z))
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) z)))
(* -1 (* (pow y 2) z))
(*.f64 (neg.f64 (*.f64 y y)) z)
(- (pow x 2) (* (pow y 2) z))
(fma.f64 (neg.f64 (*.f64 y y)) z (*.f64 x x))
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* (/ y x) (sqrt z))))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* (/ y x) (sqrt z)))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (* (/ y x) (sqrt z)))) x)
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z))) x)
(/.f64 (-.f64 (fma.f64 (*.f64 y y) (/.f64 z (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 z) y) x)) x)
(/ (- (+ 1 (* -1 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -1 (/ (* (pow y 2) z) (pow x 2))) (* (/ y x) (sqrt z)))) x)
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (sqrt.f64 z) (/.f64 (*.f64 (neg.f64 (*.f64 y y)) z) (*.f64 x x)))) x)
(/ x z)
(/.f64 x z)
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (/.f64 z (*.f64 x x))) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64)) x))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) x))
(* -1 (/ (- (* (/ y x) (sqrt z)) 1) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow y 2) z) x) (* y (sqrt z))) x)) 1) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) z) x) (*.f64 (sqrt.f64 z) y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* (/ (pow y 3) x) (sqrt (pow z 3))) (* (pow y 2) z)) x)) (* y (sqrt z))) x)) 1) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 y y) z)) x)) (*.f64 (sqrt.f64 z) y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 y x))) (/.f64 #s(literal 1 binary64) z)) x))
(+ (* -1 (* (/ y (pow x 2)) (sqrt z))) (/ 1 x))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x x))) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (/ (* y z) (pow x 3)) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(fma.f64 (fma.f64 y (/.f64 z (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 z))) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (- (* y (- (* -1 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -1 (/ z (pow x 3))))) (* (/ 1 (pow x 2)) (sqrt z)))) (/ 1 x))
(fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 z (pow.f64 x #s(literal 3 binary64))))) y (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 z))) y (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (* (pow y 2) z)) (pow x 2))
(fma.f64 (neg.f64 (*.f64 y y)) z (*.f64 x x))
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(* y (+ (sqrt z) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)) y)
(* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)
(/ (+ (sqrt (/ 1 z)) (* -1 (/ x (* y z)))) y)
(/.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y)
(/ (- (+ (sqrt (/ 1 z)) (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z))) y)
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 x y) z)) y)
(/ (- (+ (sqrt (/ 1 z)) (* -1 (/ (pow x 3) (* (pow y 3) (pow z 2))))) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (/ x (* y z)))) y)
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(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(*.f64 (+.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y)
(* (pow y 2) (+ (* -1/2 z) (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) z))
(*.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) z) (*.f64 y y))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y)) y))
(* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))
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(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (/ x (* y z))) y))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z)) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))) (/ x z)) y))) y))
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(* -1 (/ (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (pow z 2))) (* (pow x 2) (sqrt (/ 1 (pow z 3))))) y)) (/ x z)) y))) y))
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(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
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(* 1/2 (+ x (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(/ 1 (+ x (* y (sqrt z))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x))
(/ (+ x (* y (sqrt z))) z)
(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))))
(fma.f64 (*.f64 (*.f64 y y) (/.f64 z (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))))
(sqrt z)
(sqrt.f64 z)
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z)
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)
(* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1/2 binary64) z)) z)
(/ (+ (* -1 (/ x (pow y 2))) (* (/ 1 y) (sqrt z))) z)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 x (*.f64 y y)))) z)
(/ (- (+ (* (/ 1 y) (sqrt z)) (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2))) z)
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z))) (/.f64 x (*.f64 y y))) z)
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 4) z))) (* (/ 1 y) (sqrt z))) (+ (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (/ x (pow y 2)))) z)
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) z)))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y y)))) z)
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z)) (*.f64 z x))) z)))
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))
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(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z)) (*.f64 z x))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z)) (*.f64 z x))) (*.f64 z z)) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z)) (*.f64 z x))) z)))))
(* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z))))
(*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))) z)
(* z (- (/ (pow x 2) z) (pow y 2)))
(*.f64 (-.f64 (/.f64 (*.f64 x x) z) (*.f64 y y)) z)
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 x z))) z))
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 z))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) (sqrt.f64 z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) z))
(* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x)) (sqrt.f64 z))
(* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1/2 binary64) z)) z))
(* -1 (* (/ 1 y) (sqrt (/ 1 z))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y)))
(* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* (/ 1 y) (sqrt z))) z))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (/.f64 x (*.f64 y y)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))) (/.f64 (neg.f64 (*.f64 z x)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y y)))) z))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4))) (* -1 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -1 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* (/ 1 y) (sqrt z))) z))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))) z) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 z (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) z))) z))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) z))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(* -1/2 (* y (sqrt z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (/.f64 (neg.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) z)))
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (/.f64 (neg.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (/.f64 (neg.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) z)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z) (neg.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (/.f64 (neg.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (/.f64 (neg.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) y)) (sqrt.f64 z) (*.f64 (*.f64 x x) (/.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x x) y) (sqrt.f64 z))) (/.f64 (neg.f64 (*.f64 z x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y y)))))) z))) z)))
(* -1 (* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2)))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) z) #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) z))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -1 (pow y 2)))))
(neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 x x) z)) (neg.f64 (*.f64 y y))) z))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(*.f64 (neg.f64 (sqrt.f64 z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))

rewrite160.0ms (3.3%)

Memory
6.0MiB live, 155.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047291
077286
1277281
21731271
08547262
Stop Event
iter limit
node limit
iter limit
Counts
25 → 570
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))
#s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64))
(-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y))
(*.f64 x x)
(sqrt.f64 z)
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(*.f64 y (sqrt.f64 z))
(*.f64 (*.f64 z y) y)
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) x) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64))) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x))
(fma.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x) x)
(+.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(+.f64 x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x)))
(*.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* y (sqrt z)) x) (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) #s(literal 1 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64))) (neg.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) (/.f64 x (*.f64 (sqrt.f64 z) y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) (/.f64 x (*.f64 (sqrt.f64 z) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x) #s(literal 1 binary64))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 z) y) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64))
(fma.f64 y (*.f64 (sqrt.f64 z) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64))) (pow.f64 (fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (pow.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z)))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)))) (pow.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z))) x))
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z))) x)
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z))))
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)))
(*.f64 (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (/.f64 y x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(*.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 z)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 y) (sqrt.f64 z))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) x)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 x (*.f64 (sqrt.f64 z) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))))
(*.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (*.f64 (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))))
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(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 x x))))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 1/4 binary64))) (neg.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 z #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 z #s(literal 1/4 binary64))))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 z) #s(literal 1 binary64))
(sqrt.f64 z)
(fabs.f64 (sqrt.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) x))
(*.f64 (/.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 z)) x))
(*.f64 (/.f64 (pow.f64 z #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) y))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 z) y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(*.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (/.f64 y x))
(*.f64 (/.f64 y x) (sqrt.f64 z))
(*.f64 y (/.f64 (sqrt.f64 z) x))
(*.f64 y (*.f64 (sqrt.f64 z) (pow.f64 x #s(literal -1 binary64))))
(*.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)))
(pow.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z))) (neg.f64 (/.f64 x y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 x y))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 (/.f64 x y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (sqrt.f64 z) y))))
(/.f64 (*.f64 (sqrt.f64 z) y) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 (sqrt.f64 z) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (sqrt.f64 z) (/.f64 x y))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (sqrt.f64 z) y))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/4 binary64))) (neg.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 z))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(fabs.f64 (pow.f64 z #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))))
(exp.f64 (/.f64 (neg.f64 (log.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (neg.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z))) (neg.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z))))
(*.f64 (fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z))) (fabs.f64 y))
(*.f64 (fabs.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y)) (sqrt.f64 z))
(*.f64 (fabs.f64 (*.f64 z y)) (fabs.f64 y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 z)) y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (sqrt.f64 z))
(*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))))
(*.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) (*.f64 (fabs.f64 y) (sqrt.f64 z)))
(*.f64 (fabs.f64 y) (fabs.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y))))
(*.f64 (fabs.f64 y) (fabs.f64 (*.f64 z y)))
(*.f64 (*.f64 y y) z)
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)))
(*.f64 (*.f64 z y) y)
(*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) (fabs.f64 (*.f64 y (*.f64 (sqrt.f64 z) y))))
(*.f64 (sqrt.f64 z) (*.f64 y (*.f64 (sqrt.f64 z) y)))
(*.f64 z (*.f64 y y))
(*.f64 y (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y)))
(*.f64 y (*.f64 z y))
(pow.f64 (*.f64 (fabs.f64 y) (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 y) z) y))
(fabs.f64 (*.f64 (*.f64 z y) y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 2 binary64)))

eval109.0ms (2.2%)

Memory
-27.4MiB live, 212.7MiB allocated
Compiler

Compiled 19 850 to 3 220 computations (83.8% saved)

prune21.0ms (0.4%)

Memory
23.9MiB live, 63.4MiB allocated
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New7215726
Fresh224
Picked415
Done145
Total72812740
Accuracy
100.0%
Counts
740 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.1%
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
21.9%
(/.f64 #s(approx (* (- (* x x) (* (* z y) y)) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) z))) (-.f64 x (*.f64 y (sqrt.f64 z))))
48.9%
(/.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (+ (* y (sqrt z)) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))))
99.9%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
49.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x))
83.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) z)) #s(literal 1/2 binary64))
49.1%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
45.2%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)) #s(literal 1/2 binary64))
89.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
36.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) x))
38.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) x))
52.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 840 to 343 computations (59.2% saved)

regimes68.0ms (1.4%)

Memory
-20.8MiB live, 105.4MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64))) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 y (/.f64 (sqrt.f64 z) x)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt z)) x) (*.f64 (sqrt.f64 z) y))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (sqrt.f64 (*.f64 (*.f64 z y) y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 y (/.f64 x (sqrt.f64 z))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x))
(/.f64 #s(approx (* (- (* x x) (* (* z y) y)) 1/2) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) z))) (-.f64 x (*.f64 y (sqrt.f64 z))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x z)) z)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 y) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) z))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ 1 (+ (* y (sqrt z)) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 y)) (sqrt.f64 y) x))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 z) y x)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 z (/.f64 (*.f64 y y) (fma.f64 (sqrt.f64 z) y x)) (*.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y x)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) (/.f64 y (fma.f64 (sqrt.f64 z) y x)) (*.f64 x (/.f64 x (fma.f64 (sqrt.f64 z) y x)))))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64)))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Calls

7 calls:

15.0ms
x
10.0ms
(sqrt.f64 z)
9.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
8.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
8.0ms
(*.f64 y (sqrt.f64 z))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.9%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.9%1(*.f64 y (sqrt.f64 z))
99.9%1(sqrt.f64 z)
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes13.0ms (0.3%)

Memory
25.6MiB live, 25.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
Outputs
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))
Calls

7 calls:

2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
2.0ms
(sqrt.f64 z)
2.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
2.0ms
x
2.0ms
(*.f64 y (sqrt.f64 z))
Results
AccuracySegmentsBranch
79.8%3x
78.2%3y
64.4%2z
64.4%6(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
64.4%6(+.f64 x (*.f64 y (sqrt.f64 z)))
82.6%3(*.f64 y (sqrt.f64 z))
64.4%2(sqrt.f64 z)
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes10.0ms (0.2%)

Memory
-18.6MiB live, 20.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

7 calls:

2.0ms
(*.f64 y (sqrt.f64 z))
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
1.0ms
(sqrt.f64 z)
1.0ms
x
1.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
Results
AccuracySegmentsBranch
52.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
52.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
52.8%1z
52.8%1(sqrt.f64 z)
52.8%1y
52.8%1x
52.8%1(*.f64 y (sqrt.f64 z))
Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.649609916384673e+70
1.1769675484827799e+73
0.0ms
-2.1201841134802577e-20
-1.7362809675618185e-35
Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify28.0ms (0.6%)

Memory
12.5MiB live, 51.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02675
13375
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)))))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -6646139978924579/332306998946228968225951765070086144 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 100000000000000004188152556421145795899143386664033828314342771180699648 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))

soundness154.0ms (3.2%)

Memory
-22.8MiB live, 93.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075221
0273211
01021
01621
14621
227821
3254621
0973419
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
iter limit
iter limit
unsound
Compiler

Compiled 105 to 52 computations (50.5% saved)

preprocess27.0ms (0.6%)

Memory
13.6MiB live, 52.0MiB allocated
Compiler

Compiled 186 to 70 computations (62.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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