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

Time bar (total: 3.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze109.0ms (3.1%)

Memory
-29.6MiB live, 64.3MiB allocated; 28ms collecting garbage
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 (41.9%)

Memory
51.6MiB live, 2 191.6MiB allocated; 456ms collecting garbage
Samples
855.0ms8 256×0valid
143.0ms2 150×0invalid
Precisions
Click to see histograms. Total time spent on operations: 594.0ms
ival-div: 230.0ms (38.7% of total)
ival-mult: 157.0ms (26.4% of total)
ival-sqrt: 110.0ms (18.5% of total)
ival-add: 73.0ms (12.3% of total)
exact: 10.0ms (1.7% of total)
ival-true: 7.0ms (1.2% of total)
ival-assert: 4.0ms (0.7% of total)
adjust: 3.0ms (0.5% of total)
Bogosity

explain155.0ms (4.5%)

Memory
-30.2MiB live, 255.8MiB allocated; 18ms collecting garbage
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
36.0ms512×0valid
Compiler

Compiled 74 to 34 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (37.1% of total)
ival-div: 5.0ms (26.5% of total)
ival-sqrt: 4.0ms (21.2% of total)
ival-add: 2.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess196.0ms (5.6%)

Memory
42.8MiB live, 224.9MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03576
112574
242774
3169374
4550574
0108
0168
1318
2638
31228
42358
55548
640288
084907
Stop Event
iter limit
node limit
iter limit
node limit
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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.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)

series33.0ms (1%)

Memory
-44.8MiB live, 55.4MiB allocated; 17ms collecting garbage
Counts
10 → 25
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
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
x
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
y
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
z
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x 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)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
Calls

9 calls:

TimeVariablePointExpression
21.0ms
y
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
6.0ms
z
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms
z
@0
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms
y
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)
1.0ms
x
@-inf
((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z)

simplify83.0ms (2.4%)

Memory
22.3MiB live, 113.1MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075186
1270186
21006186
03503175
Stop Event
iter limit
iter limit
node limit
Counts
25 → 22
Calls
Call 1
Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
x
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
y
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* 1/2 (+ x (* y (sqrt z))))
(sqrt z)
z
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x 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)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
Outputs
(* 1/2 (* y (sqrt z)))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(* y (sqrt z))
(*.f64 (sqrt.f64 z) y)
(+ x (* y (sqrt z)))
(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)
(* x (+ 1 (* (/ y x) (sqrt z))))
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.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)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))
y
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(* y (+ (sqrt z) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
(sqrt z)
(sqrt.f64 z)
z
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) y)
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)

rewrite55.0ms (1.6%)

Memory
23.7MiB live, 76.3MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
01626
14626
027124
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
10 → 48
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 (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))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #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 (*.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 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (sqrt.f64 z) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))
(fma.f64 (sqrt.f64 z) y x)
(fma.f64 y (sqrt.f64 z) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))))
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 z)) y))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))))
(+.f64 (*.f64 (sqrt.f64 z) y) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z)))
(+.f64 x (*.f64 (sqrt.f64 z) y))
x
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
y
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
z

eval54.0ms (1.6%)

Memory
-29.6MiB live, 16.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 001 to 189 computations (81.1% saved)

prune6.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New52961
Fresh000
Picked101
Done000
Total53962
Accuracy
99.9%
Counts
62 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))))
90.2%
(*.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)))
90.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))))
91.8%
#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))
47.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
81.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
87.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
54.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 324 to 266 computations (17.9% saved)

series50.0ms (1.5%)

Memory
-15.8MiB live, 74.1MiB allocated; 12ms collecting garbage
Counts
32 → 63
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(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (/.f64 x y) (sqrt.f64 z))
(/.f64 x y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) 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)
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))
(neg.f64 x)
(fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))
(neg.f64 y)
(/.f64 (sqrt.f64 z) x)
#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)))
x
(* 1/2 x)
(sqrt z)
(+ (sqrt z) (/ x y))
(/ x y)
(* y (sqrt (/ 1 z)))
(+ (* y (sqrt (/ 1 z))) (/ x z))
(/ x z)
(* -1 x)
(* -1 (* (/ y x) (sqrt z)))
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x)
(* (/ 1 x) (sqrt z))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
-1
(- (* -1 (* (/ y x) (sqrt z))) 1)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
y
(* 1/2 y)
(/ (+ x (* y (sqrt z))) y)
(* -1 y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* y (- (* -1 (* (/ 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 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
(* 1/2 (+ x (* y (sqrt z))))
z
(* 1/2 (* y (+ (sqrt z) (/ x y))))
(* 1/2 z)
(/ (+ x (* y (sqrt z))) z)
(sqrt (/ 1 z))
(/ 1 z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* z (- (* -1 (* (/ 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 (* (* 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 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z))))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1)
9.0ms
z
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1)
5.0ms
y
@inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1)
5.0ms
x
@0
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1)
4.0ms
z
@0
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1)

simplify97.0ms (2.8%)

Memory
10.2MiB live, 156.2MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135486
1488449
21819426
04926403
Stop Event
iter limit
iter limit
node limit
Counts
63 → 60
Calls
Call 1
Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
x
(* 1/2 x)
(sqrt z)
(+ (sqrt z) (/ x y))
(/ x y)
(* y (sqrt (/ 1 z)))
(+ (* y (sqrt (/ 1 z))) (/ x z))
(/ x z)
(* -1 x)
(* -1 (* (/ y x) (sqrt z)))
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x)
(* (/ 1 x) (sqrt z))
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
-1
(- (* -1 (* (/ y x) (sqrt z))) 1)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
y
(* 1/2 y)
(/ (+ x (* y (sqrt z))) y)
(* -1 y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* y (- (* -1 (* (/ 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 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
(* 1/2 (+ x (* y (sqrt z))))
z
(* 1/2 (* y (+ (sqrt z) (/ x y))))
(* 1/2 z)
(/ (+ x (* y (sqrt z))) z)
(sqrt (/ 1 z))
(/ 1 z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* z (- (* -1 (* (/ 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 (* (* 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 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z))))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt 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)
x
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(sqrt z)
(sqrt.f64 z)
(+ (sqrt z) (/ x y))
(+.f64 (/.f64 x y) (sqrt.f64 z))
(/ x y)
(/.f64 x 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))
(/ x z)
(/.f64 x z)
(* -1 x)
(neg.f64 x)
(* -1 (* (/ y x) (sqrt z)))
(*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x))
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(* (/ 1 x) (sqrt z))
(/.f64 (sqrt.f64 z) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(* x (+ 1 (* (/ y x) (sqrt z))))
(fma.f64 (sqrt.f64 z) y x)
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(+.f64 (/.f64 x y) (sqrt.f64 z))
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
-1
#s(literal -1 binary64)
(- (* -1 (* (/ y x) (sqrt z))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
(*.f64 (-.f64 (*.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))
y
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(/ (+ x (* y (sqrt z))) y)
(+.f64 (/.f64 x y) (sqrt.f64 z))
(* -1 y)
(neg.f64 y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(* y (+ (sqrt z) (/ x y)))
(fma.f64 (sqrt.f64 z) y x)
(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(fma.f64 (sqrt.f64 z) y x)
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
z
(* 1/2 (* y (+ (sqrt z) (/ x y))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x))
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(/ (+ x (* y (sqrt z))) z)
(/.f64 (fma.f64 (sqrt.f64 z) y x) z)
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* z (+ (sqrt (/ 1 z)) (/ x (* y z))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z (/.f64 x y))
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))
(*.f64 (-.f64 (*.f64 (/.f64 y (neg.f64 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(*.f64 (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (sqrt.f64 z) y)
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z (/.f64 x y))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) x))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))
(*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x))
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z))))
(fma.f64 (neg.f64 z) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))
(/.f64 (sqrt.f64 z) x)

rewrite86.0ms (2.5%)

Memory
8.0MiB live, 104.9MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037200
062195
1193191
01265191
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
32 → 234
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(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (/.f64 x y) (sqrt.f64 z))
(/.f64 x y)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))
(*.f64 #s(literal 1/2 binary64) 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)
(/.f64 x z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))
(neg.f64 x)
(fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))
(neg.f64 y)
(/.f64 (sqrt.f64 z) x)
#s(literal -1 binary64)
Outputs
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
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(fma.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(fma.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 x z) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(fma.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z))
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (neg.f64 (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) z)))
(-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) (/.f64 x z)))
(+.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z))
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 z #s(literal 1/2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z)))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))))
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z))
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))))
(-.f64 (/.f64 x z) (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) y))
(-.f64 (/.f64 x z) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))))
(+.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(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 (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) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 z #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z)))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(neg.f64 (/.f64 (neg.f64 x) z))
(neg.f64 (/.f64 x (neg.f64 z)))
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))) (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (neg.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (neg.f64 (neg.f64 x))))))
(neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) x))
(fma.f64 (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 z) x)) (neg.f64 y) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (/.f64 (sqrt.f64 z) x) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 z) x) (*.f64 (neg.f64 y) (neg.f64 x)) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 x)) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 (neg.f64 x)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)))
(-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (*.f64 x #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (neg.f64 (neg.f64 x)))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 (neg.f64 y) #s(literal -1 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64))))
(neg.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)))
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
(fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64))
(fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))
(fma.f64 y (neg.f64 (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (sqrt.f64 z) x)) (neg.f64 y)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 (sqrt.f64 z) x)))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)))
(neg.f64 y)
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x))
(/.f64 (sqrt.f64 z) x)
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x))
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 x)))
#s(literal -1 binary64)

eval38.0ms (1.1%)

Memory
-13.4MiB live, 125.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 7 699 to 1 015 computations (86.8% saved)

prune18.0ms (0.5%)

Memory
25.3MiB live, 76.2MiB allocated; 6ms collecting garbage
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New28611297
Fresh224
Picked235
Done000
Total29016306
Accuracy
100.0%
Counts
306 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.9%
(/.f64 (*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
90.2%
(*.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)))
93.9%
(*.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))
47.5%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
90.6%
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 1/2 binary64))
79.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)))
44.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) z (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 (/.f64 x y) (sqrt.f64 z)))))
61.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 x y) (sqrt.f64 z))))
91.8%
#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))
81.6%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))))
42.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
70.1%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
87.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
84.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)))))
54.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 692 to 519 computations (25% saved)

series75.0ms (2.2%)

Memory
34.9MiB live, 153.7MiB allocated; 29ms collecting garbage
Counts
39 → 108
Calls
Call 1
Inputs
(*.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) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(*.f64 y z)
y
z
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(*.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)
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 1/2 binary64))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64))
(/.f64 (sqrt.f64 z) x)
(neg.f64 y)
#s(literal -1 binary64)
(neg.f64 x)
(/.f64 (*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x))
(*.f64 y y)
(*.f64 (neg.f64 x) x)
(-.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 y (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
#s(literal 2 binary64)
(-.f64 (/.f64 x y) (sqrt.f64 z))
Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
x
(* -1 (* (/ y x) (sqrt z)))
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x)
(* (/ 1 x) (sqrt z))
(* -1 x)
(* 1/2 (* (pow y 2) z))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* (pow y 2) z)
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(* -1 (pow x 2))
(+ (* -1 x) (* y (sqrt z)))
(sqrt z)
(+ (sqrt z) (/ x y))
(* -1 z)
(- (/ (pow x 2) (pow y 2)) z)
(/ (pow x 2) (pow y 2))
(/ x y)
(* -1 (sqrt z))
(- (/ x y) (sqrt z))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1 (* (/ y x) (sqrt z))))
-1
(- (* -1 (* (/ y x) (sqrt z))) 1)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* x (- (* (/ y x) (sqrt z)) 1))
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ z (pow x 2))) (/ 1 (pow y 2))))
(* x (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z))))))
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* x (- (* (/ 1 x) (sqrt z)) (/ 1 y))))
(* y z)
y
(* -1 y)
(pow y 2)
(- (* y (sqrt z)) x)
(* 1/2 y)
(/ (+ x (* y (sqrt z))) y)
(/ (+ (* -1 (* (pow y 2) z)) (pow x 2)) (pow y 2))
(/ (+ x (* -1 (* y (sqrt z)))) y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ (sqrt z) (* -1 (/ x y))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt z)) (/ x y))))
(* 1/2 (+ x (* y (sqrt z))))
z
(sqrt (/ 1 z))
(/ 1 z)
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z)))))
(+ (* -1/2 (/ (* y z) (- (/ x y) (sqrt z)))) (* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z))))))
(/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z))))
(+ (* -1 (/ z (- (/ x y) (sqrt z)))) (/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z)))))
(+ (* -1 z) (/ (pow x 2) (pow y 2)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 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 x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))
(- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y)))
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y)))
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y))))
(* z (- (/ (pow x 2) (* (pow y 2) z)) 1))
(* z (- (/ x (* y z)) (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)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z))))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt 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 y 2)) (* 1/2 (/ (pow x 2) z)))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
(+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z)))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt z)))) z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(* -1 (* z (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) z))))))
(* (sqrt z) (pow (sqrt -1) 2))
(* -1 (* z (- (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
z
@0
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) y z (sqrt (/ 1 z)) (/ 1 z) 1 x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (/ (sqrt z) x) (neg y) -1 (neg x) (/ (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (- (* y (sqrt z)) x)) (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (+ (* (* y y) z) (* (neg x) x)) (* y y) (* (neg x) x) (- (* y (sqrt z)) x) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (pow (/ x y) 2) (/ x y) 2 (- (/ x y) (sqrt z)))
13.0ms
x
@0
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) y z (sqrt (/ 1 z)) (/ 1 z) 1 x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (/ (sqrt z) x) (neg y) -1 (neg x) (/ (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (- (* y (sqrt z)) x)) (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (+ (* (* y y) z) (* (neg x) x)) (* y y) (* (neg x) x) (- (* y (sqrt z)) x) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (pow (/ x y) 2) (/ x y) 2 (- (/ x y) (sqrt z)))
12.0ms
y
@0
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) y z (sqrt (/ 1 z)) (/ 1 z) 1 x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (/ (sqrt z) x) (neg y) -1 (neg x) (/ (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (- (* y (sqrt z)) x)) (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (+ (* (* y y) z) (* (neg x) x)) (* y y) (* (neg x) x) (- (* y (sqrt z)) x) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (pow (/ x y) 2) (/ x y) 2 (- (/ x y) (sqrt z)))
7.0ms
z
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) y z (sqrt (/ 1 z)) (/ 1 z) 1 x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (/ (sqrt z) x) (neg y) -1 (neg x) (/ (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (- (* y (sqrt z)) x)) (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (+ (* (* y y) z) (* (neg x) x)) (* y y) (* (neg x) x) (- (* y (sqrt z)) x) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (pow (/ x y) 2) (/ x y) 2 (- (/ x y) (sqrt z)))
5.0ms
z
@inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) y z (sqrt (/ 1 z)) (/ 1 z) 1 x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (/ (sqrt z) x) (neg y) -1 (neg x) (/ (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (- (* y (sqrt z)) x)) (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (+ (* (* y y) z) (* (neg x) x)) (* y y) (* (neg x) x) (- (* y (sqrt z)) x) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (pow (/ x y) 2) (/ x y) 2 (- (/ x y) (sqrt z)))

simplify225.0ms (6.5%)

Memory
-34.6MiB live, 304.2MiB allocated; 101ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03241604
111391415
246431350
085321291
Stop Event
iter limit
node limit
Counts
108 → 105
Calls
Call 1
Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
x
(* -1 (* (/ y x) (sqrt z)))
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x)
(* (/ 1 x) (sqrt z))
(* -1 x)
(* 1/2 (* (pow y 2) z))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(* (pow y 2) z)
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(* -1 (pow x 2))
(+ (* -1 x) (* y (sqrt z)))
(sqrt z)
(+ (sqrt z) (/ x y))
(* -1 z)
(- (/ (pow x 2) (pow y 2)) z)
(/ (pow x 2) (pow y 2))
(/ x y)
(* -1 (sqrt z))
(- (/ x y) (sqrt z))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1 (* (/ y x) (sqrt z))))
-1
(- (* -1 (* (/ y x) (sqrt z))) 1)
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(* x (- (* (/ y x) (sqrt z)) 1))
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ z (pow x 2))) (/ 1 (pow y 2))))
(* x (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z))))))
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* x (- (* (/ 1 x) (sqrt z)) (/ 1 y))))
(* y z)
y
(* -1 y)
(pow y 2)
(- (* y (sqrt z)) x)
(* 1/2 y)
(/ (+ x (* y (sqrt z))) y)
(/ (+ (* -1 (* (pow y 2) z)) (pow x 2)) (pow y 2))
(/ (+ x (* -1 (* y (sqrt z)))) y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ (sqrt z) (* -1 (/ x y))))
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt z)) (/ x y))))
(* 1/2 (+ x (* y (sqrt z))))
z
(sqrt (/ 1 z))
(/ 1 z)
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z)))))
(+ (* -1/2 (/ (* y z) (- (/ x y) (sqrt z)))) (* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z))))))
(/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z))))
(+ (* -1 (/ z (- (/ x y) (sqrt z)))) (/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z)))))
(+ (* -1 z) (/ (pow x 2) (pow y 2)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 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 x 2) z)) (* 1/2 (pow y 2))))
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))
(- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y)))
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y)))
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y))))
(* z (- (/ (pow x 2) (* (pow y 2) z)) 1))
(* z (- (/ x (* y z)) (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)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z))))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt 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 y 2)) (* 1/2 (/ (pow x 2) z)))))
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
(+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z)))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt z)))) z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(* -1 (* z (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) z))))))
(* (sqrt z) (pow (sqrt -1) 2))
(* -1 (* z (- (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
Outputs
(* 1/2 (* y (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
x
(* -1 (* (/ y x) (sqrt z)))
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x)
(/.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) x)
(* (/ 1 x) (sqrt z))
(/.f64 (sqrt.f64 z) x)
(* -1 x)
(neg.f64 x)
(* 1/2 (* (pow y 2) z))
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x)))
(* (pow y 2) z)
(*.f64 (*.f64 y y) z)
(+ (* -1 (pow x 2)) (* (pow y 2) z))
(fma.f64 (*.f64 y z) y (*.f64 (neg.f64 x) x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(+ (* -1 x) (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) (neg.f64 x))
(sqrt z)
(sqrt.f64 z)
(+ (sqrt z) (/ x y))
(+.f64 (/.f64 x y) (sqrt.f64 z))
(* -1 z)
(neg.f64 z)
(- (/ (pow x 2) (pow y 2)) z)
(fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* -1 (sqrt z))
(neg.f64 (sqrt.f64 z))
(- (/ x y) (sqrt z))
(-.f64 (/.f64 x y) (sqrt.f64 z))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- (* -1 (* (/ y x) (sqrt z))) 1)
(neg.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x) (/.f64 z x) #s(literal -1/2 binary64)) (*.f64 x x))
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 z x) #s(literal -1 binary64)) (*.f64 x x))
(* x (- (* (/ y x) (sqrt z)) 1))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal -1 binary64)) x)
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(fma.f64 (/.f64 (sqrt.f64 z) x) x (/.f64 x y))
(* (pow x 2) (+ (* -1 (/ z (pow x 2))) (/ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 x x)) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) x)
(* x (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)) x)
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z))))))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal -1 binary64)) x)
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* (/ 1 x) (sqrt z)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* y z)
(*.f64 y z)
y
(* -1 y)
(neg.f64 y)
(pow y 2)
(*.f64 y y)
(- (* y (sqrt z)) x)
(fma.f64 y (sqrt.f64 z) (neg.f64 x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(/ (+ x (* y (sqrt z))) y)
(/.f64 (fma.f64 y (sqrt.f64 z) x) y)
(/ (+ (* -1 (* (pow y 2) z)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x)) (*.f64 y y))
(/ (+ x (* -1 (* y (sqrt z)))) y)
(/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y)
(* y (+ (sqrt z) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))
(*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) y)
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z))) (*.f64 y y))
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) z) (*.f64 y y))
(* y (+ (sqrt z) (* -1 (/ x y))))
(*.f64 (-.f64 (sqrt.f64 z) (/.f64 x y)) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y)
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
(neg.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (sqrt z)) (/ x y))))
(*.f64 (-.f64 (sqrt.f64 z) (/.f64 x y)) y)
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
z
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x)))
(*.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x))))
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x))) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))
(* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z)))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(+ (* -1/2 (/ (* y z) (- (/ x y) (sqrt z)))) (* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z))))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z))))
(/.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(+ (* -1 (/ z (- (/ x y) (sqrt z)))) (/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z)))))
(/.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(+ (* -1 z) (/ (pow x 2) (pow y 2)))
(fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))
(*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) z)
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(*.f64 (fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x)) #s(literal 1/2 binary64))
(+ (* 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))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x))))
(+ (* 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) (sqrt.f64 z)) y (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x) z) (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x)))))
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y (*.f64 x (/.f64 x z)))) z)
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))
(*.f64 (fma.f64 x (/.f64 (neg.f64 x) z) (*.f64 y y)) z)
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) (neg.f64 x))
(- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y)))
(-.f64 (sqrt.f64 z) (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 x x)) y) (neg.f64 x)) y))
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y)))
(+.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) x) y)) (sqrt.f64 z))
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y))))
(-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) y) (*.f64 z z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 x) x))) (*.f64 y y)) (sqrt.f64 z)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) x) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 (neg.f64 z) x)) y) (neg.f64 x)) y))
(* z (- (/ (pow x 2) (* (pow y 2) z)) 1))
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x z) #s(literal -1 binary64)) z)
(* z (- (/ x (* y z)) (sqrt (/ 1 z))))
(*.f64 (-.f64 (/.f64 (/.f64 x z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z)
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)
(* (* y (pow (sqrt -1) 2)) (sqrt z))
(*.f64 (neg.f64 y) (sqrt.f64 z))
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(fma.f64 (*.f64 (neg.f64 y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z))))
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(* -1/2 (* y (sqrt z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (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 (fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) (neg.f64 x))) #s(literal -1/2 binary64))
(+ (* -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) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) #s(literal -1/2 binary64))) (neg.f64 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) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 z) x) (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)))) z) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)))) z))
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y (*.f64 x (/.f64 x z)))) z)
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))))
(*.f64 (fma.f64 x (/.f64 (neg.f64 x) z) (*.f64 y y)) z)
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) (neg.f64 x))
(+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y) z) (sqrt.f64 z))
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z)))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y)) (neg.f64 z)) (sqrt.f64 z))
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt z)))) z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) (/.f64 x y)) (sqrt.f64 z) (*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)))) z) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y)) z) (sqrt.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) z))))))
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x z) #s(literal -1 binary64)) z)
(* (sqrt z) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 z))
(* -1 (* z (- (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) z) y)) (neg.f64 z))

rewrite76.0ms (2.2%)

Memory
23.6MiB live, 120.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046293
078293
1254255
01634247
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
39 → 297
Calls
Call 1
Inputs
(*.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) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(*.f64 y z)
y
z
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(*.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)
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 1/2 binary64))
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64))
(/.f64 (sqrt.f64 z) x)
(neg.f64 y)
#s(literal -1 binary64)
(neg.f64 x)
(/.f64 (*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
(*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x))
(*.f64 y y)
(*.f64 (neg.f64 x) x)
(-.f64 (*.f64 y (sqrt.f64 z)) x)
(*.f64 y (sqrt.f64 z))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
#s(literal 2 binary64)
(-.f64 (/.f64 x y) (sqrt.f64 z))
Outputs
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y z) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64))))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z x)
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x)
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)
(fma.f64 (*.f64 y z) (pow.f64 z #s(literal -1/2 binary64)) x)
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) x)
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x)))
(-.f64 x (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y z)))
(-.f64 x (*.f64 (neg.f64 (*.f64 y z)) (pow.f64 z #s(literal -1/2 binary64))))
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x)
(+.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z))
(*.f64 y z)
(*.f64 z y)
y
z
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(sqrt.f64 (pow.f64 z #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(pow.f64 z #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z)))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))
(*.f64 (sqrt.f64 z) y)
(*.f64 y (sqrt.f64 z))
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(pow.f64 z #s(literal 1/2 binary64))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))) x)
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)) (-.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x))))
(neg.f64 (*.f64 (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) x))
(fma.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) (neg.f64 x)))
(+.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x))) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x)) (*.f64 (neg.f64 y) (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x))))
(neg.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)))
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)))
(fma.f64 (neg.f64 (/.f64 (sqrt.f64 z) x)) y #s(literal -1 binary64))
(fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))
(fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 z) (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x)) (-.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 (sqrt.f64 z) x)))
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(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) #s(literal 1/2 binary64))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y))
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/2 binary64) y)) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z))) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 #s(literal 1/2 binary64) y))) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z)))) (*.f64 (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z))))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (fma.f64 (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 z (*.f64 (/.f64 x y) (sqrt.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z))) (neg.f64 (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (*.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)) z)) (*.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 z z)) (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 z (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (-.f64 (/.f64 x y) (sqrt.f64 z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (-.f64 (/.f64 x y) (sqrt.f64 z))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 z))
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)) (/.f64 x y))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z))))
(+.f64 (/.f64 x y) (sqrt.f64 z))
(+.f64 (sqrt.f64 z) (/.f64 x y))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 z z))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 z z)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 x y)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(fma.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(fma.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 (/.f64 x y))) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (/.f64 (*.f64 z z) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (fma.f64 z (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))))
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)))
(*.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 x y)))
(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)))
(*.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 (/.f64 x y))))
(*.f64 (/.f64 x y) (/.f64 x y))
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))
(/.f64 (*.f64 x (/.f64 x y)) y)
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) x) y)
(/.f64 (*.f64 x x) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 y (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x (neg.f64 (neg.f64 y)))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
#s(literal 2 binary64)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (neg.f64 (+.f64 (/.f64 x y) (sqrt.f64 z))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (+.f64 (/.f64 x y) (sqrt.f64 z))))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(-.f64 (/.f64 x y) (sqrt.f64 z))

eval53.0ms (1.5%)

Memory
-21.0MiB live, 116.5MiB allocated; 10ms collecting garbage
Compiler

Compiled 12 211 to 1 677 computations (86.3% saved)

prune15.0ms (0.4%)

Memory
-10.0MiB live, 41.5MiB allocated; 4ms collecting garbage
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New4284432
Fresh628
Picked325
Done033
Total43711448
Accuracy
100.0%
Counts
448 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
93.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
93.9%
(*.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))
90.6%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
47.5%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
37.9%
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x))) #s(literal 1/2 binary64))
44.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) z (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 (/.f64 x y) (sqrt.f64 z)))))
42.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
47.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
87.7%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
54.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 409 to 304 computations (25.7% saved)

series40.0ms (1.1%)

Memory
27.8MiB live, 72.2MiB allocated; 7ms collecting garbage
Counts
39 → 105
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))
(fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
(*.f64 y z)
y
z
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
(*.f64 #s(literal 1/2 binary64) z)
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))
(/.f64 (sqrt.f64 z) x)
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x))) #s(literal 1/2 binary64))
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x)))
(*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x))
#s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)))
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
(neg.f64 x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))
#s(approx (- (pow (/ x y) 2) z) (neg.f64 z))
(neg.f64 z)
(-.f64 (/.f64 x y) (sqrt.f64 z))
(/.f64 x y)
Outputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
x
(* y (sqrt (/ 1 z)))
(+ (* y (sqrt (/ 1 z))) (/ x z))
(* (/ y x) (sqrt z))
(/ (+ x (* y (sqrt z))) x)
(* (/ 1 x) (sqrt z))
(* -1 (* (/ y x) (sqrt z)))
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x)
(* -1 (/ y x))
(* -1 x)
(sqrt z)
(+ (sqrt z) (/ x y))
(* -1 z)
(- (/ (pow x 2) (pow y 2)) z)
(* -1 (sqrt z))
(- (/ x y) (sqrt z))
(/ x y)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(/ x z)
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
1
(+ 1 (* (/ y x) (sqrt z)))
-1
(- (* -1 (* (/ y x) (sqrt z))) 1)
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -1 (/ z (pow x 2))) (/ 1 (pow y 2))))
(* x (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* x (- (* (/ 1 x) (sqrt z)) (/ 1 y))))
(* y z)
y
(* -1 y)
(* 1/2 y)
(/ (+ x (* y (sqrt z))) y)
(/ (+ (* -1 (* (pow y 2) z)) (pow x 2)) (pow y 2))
(/ (+ x (* -1 (* y (sqrt z)))) y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* y (- (* -1 (* (/ 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 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
(* 1/2 (+ x (* y (sqrt z))))
z
(sqrt (/ 1 z))
(* 1/2 z)
(/ (+ x (* y (sqrt z))) z)
(/ 1 z)
(* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z)))))
(+ (* -1/2 (/ (* y z) (- (/ x y) (sqrt z)))) (* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z))))))
(/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z))))
(+ (* -1 (/ z (- (/ x y) (sqrt z)))) (/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z)))))
(+ (* -1 z) (/ (pow x 2) (pow y 2)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 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)))))
(- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y)))
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y)))
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y))))
(* z (- (/ (pow x 2) (* (pow y 2) z)) 1))
(* z (- (/ x (* y z)) (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)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 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 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z)))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt z)))) z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(* -1 (* z (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) z))))))
(* (sqrt z) (pow (sqrt -1) 2))
(* -1 (* z (- (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
z
@0
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (/ 1 (sqrt z))) x) (* y z) y z (/ 1 (sqrt z)) 1 (sqrt z) x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (* (/ (neg y) x) (sqrt z)) (/ (neg y) x) (neg y) (neg x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (neg z) (- (/ x y) (sqrt z)) (/ x y))
6.0ms
z
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (/ 1 (sqrt z))) x) (* y z) y z (/ 1 (sqrt z)) 1 (sqrt z) x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (* (/ (neg y) x) (sqrt z)) (/ (neg y) x) (neg y) (neg x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (neg z) (- (/ x y) (sqrt z)) (/ x y))
4.0ms
x
@inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (/ 1 (sqrt z))) x) (* y z) y z (/ 1 (sqrt z)) 1 (sqrt z) x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (* (/ (neg y) x) (sqrt z)) (/ (neg y) x) (neg y) (neg x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (neg z) (- (/ x y) (sqrt z)) (/ x y))
4.0ms
y
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (/ 1 (sqrt z))) x) (* y z) y z (/ 1 (sqrt z)) 1 (sqrt z) x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (* (/ (neg y) x) (sqrt z)) (/ (neg y) x) (neg y) (neg x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (neg z) (- (/ x y) (sqrt z)) (/ x y))
4.0ms
x
@-inf
((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (/ 1 (sqrt z))) x) (* y z) y z (/ 1 (sqrt z)) 1 (sqrt z) x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (* (/ (neg y) x) (sqrt z)) (/ (neg y) x) (neg y) (neg x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (neg z) (- (/ x y) (sqrt z)) (/ x y))

simplify232.0ms (6.7%)

Memory
-20.5MiB live, 180.4MiB allocated; 145ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02931533
110411347
242741282
085951222
Stop Event
iter limit
node limit
Counts
105 → 102
Calls
Call 1
Inputs
(* 1/2 (* y (sqrt z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(* y (sqrt z))
(+ x (* y (sqrt z)))
x
(* y (sqrt (/ 1 z)))
(+ (* y (sqrt (/ 1 z))) (/ x z))
(* (/ y x) (sqrt z))
(/ (+ x (* y (sqrt z))) x)
(* (/ 1 x) (sqrt z))
(* -1 (* (/ y x) (sqrt z)))
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x)
(* -1 (/ y x))
(* -1 x)
(sqrt z)
(+ (sqrt z) (/ x y))
(* -1 z)
(- (/ (pow x 2) (pow y 2)) z)
(* -1 (sqrt z))
(- (/ x y) (sqrt z))
(/ x y)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(* x (+ 1 (* (/ y x) (sqrt z))))
(/ x z)
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
1
(+ 1 (* (/ y x) (sqrt z)))
-1
(- (* -1 (* (/ y x) (sqrt z))) 1)
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -1 (/ z (pow x 2))) (/ 1 (pow y 2))))
(* x (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* x (- (* (/ 1 x) (sqrt z)) (/ 1 y))))
(* y z)
y
(* -1 y)
(* 1/2 y)
(/ (+ x (* y (sqrt z))) y)
(/ (+ (* -1 (* (pow y 2) z)) (pow x 2)) (pow y 2))
(/ (+ x (* -1 (* y (sqrt z)))) y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(* y (+ (sqrt z) (/ x y)))
(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(* y (- (* -1 (* (/ 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 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
(* 1/2 (+ x (* y (sqrt z))))
z
(sqrt (/ 1 z))
(* 1/2 z)
(/ (+ x (* y (sqrt z))) z)
(/ 1 z)
(* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z)))))
(+ (* -1/2 (/ (* y z) (- (/ x y) (sqrt z)))) (* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z))))))
(/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z))))
(+ (* -1 (/ z (- (/ x y) (sqrt z)))) (/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z)))))
(+ (* -1 z) (/ (pow x 2) (pow y 2)))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 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)))))
(- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y)))
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y)))
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y))))
(* z (- (/ (pow x 2) (* (pow y 2) z)) 1))
(* z (- (/ x (* y z)) (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)) (sqrt z)))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 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 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z)))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt z)))) z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(* -1 (* z (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) z))))))
(* (sqrt z) (pow (sqrt -1) 2))
(* -1 (* z (- (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
Outputs
(* 1/2 (* y (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(+ (* 1/2 x) (* 1/2 (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
(* y (sqrt z))
(*.f64 y (sqrt.f64 z))
(+ x (* y (sqrt z)))
(fma.f64 y (sqrt.f64 z) x)
x
(* 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))
(* (/ y x) (sqrt z))
(/.f64 (*.f64 y (sqrt.f64 z)) x)
(/ (+ x (* y (sqrt z))) x)
(/.f64 (fma.f64 y (sqrt.f64 z) x) x)
(* (/ 1 x) (sqrt z))
(/.f64 (sqrt.f64 z) x)
(* -1 (* (/ y x) (sqrt z)))
(*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x))
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 x)
(neg.f64 x)
(sqrt z)
(sqrt.f64 z)
(+ (sqrt z) (/ x y))
(+.f64 (/.f64 x y) (sqrt.f64 z))
(* -1 z)
(neg.f64 z)
(- (/ (pow x 2) (pow y 2)) z)
(fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z))
(* -1 (sqrt z))
(neg.f64 (sqrt.f64 z))
(- (/ x y) (sqrt z))
(-.f64 (/.f64 x y) (sqrt.f64 z))
(/ x y)
(/.f64 x y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))
(*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1 (* (/ y x) (sqrt z))))
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) x)
(/ x z)
(/.f64 x z)
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(fma.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))
1
#s(literal 1 binary64)
(+ 1 (* (/ y x) (sqrt z)))
(/.f64 (fma.f64 y (sqrt.f64 z) x) x)
-1
#s(literal -1 binary64)
(- (* -1 (* (/ y x) (sqrt z))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(+.f64 (/.f64 x y) (sqrt.f64 z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(* (pow x 2) (+ (* -1 (/ z (pow x 2))) (/ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 x x)) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) x)
(* x (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))
(-.f64 (/.f64 x y) (sqrt.f64 z))
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2)))
(*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1)))
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) x)
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))))
(*.f64 (-.f64 (*.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x))
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* (/ 1 x) (sqrt z)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* y z)
(*.f64 y z)
y
(* -1 y)
(neg.f64 y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(/ (+ x (* y (sqrt z))) y)
(/.f64 (fma.f64 y (sqrt.f64 z) x) y)
(/ (+ (* -1 (* (pow y 2) z)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x)) (*.f64 y y))
(/ (+ x (* -1 (* y (sqrt z)))) y)
(/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) y)
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y)
(* y (+ (sqrt z) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
(* y (+ (sqrt (/ 1 z)) (/ x (* y z))))
(*.f64 (+.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y)
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))
(/.f64 (fma.f64 y (sqrt.f64 z) x) x)
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))
(*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) y)
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y)))))
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y)
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64) (/.f64 (/.f64 x y) z)) y)
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x))
(* 1/2 (+ x (* y (sqrt z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))
z
(sqrt (/ 1 z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(/ (+ x (* y (sqrt z))) z)
(/.f64 (fma.f64 y (sqrt.f64 z) x) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z)))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(+ (* -1/2 (/ (* y z) (- (/ x y) (sqrt z)))) (* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z))))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z))))
(/.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(+ (* -1 (/ z (- (/ x y) (sqrt z)))) (/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z)))))
(/.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(+ (* -1 z) (/ (pow x 2) (pow y 2)))
(fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z))
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
(* z (+ (* y (sqrt (/ 1 z))) (/ x z)))
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))
(fma.f64 (*.f64 z (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))
(*.f64 (-.f64 (*.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) z)
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))
(*.f64 (fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x)) #s(literal 1/2 binary64))
(+ (* 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))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x))))
(+ (* 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) (sqrt.f64 z)) y (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x) z) (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x)))))
(- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y)))
(-.f64 (sqrt.f64 z) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y) (neg.f64 x)) y))
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y)))
(+.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) x) y)) (sqrt.f64 z))
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y))))
(-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) y) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 y y)) (sqrt.f64 z)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) x) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 (neg.f64 z) x)) y) (neg.f64 x)) y))
(* z (- (/ (pow x 2) (* (pow y 2) z)) 1))
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x z) #s(literal -1 binary64)) z)
(* z (- (/ x (* y z)) (sqrt (/ 1 z))))
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z)
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 y (sqrt.f64 z))
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z)))))
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)
(* -1 (* (sqrt z) (pow (sqrt -1) 2)))
(sqrt.f64 z)
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z)))))
(fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) x))
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z))
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)))
(/.f64 (*.f64 y (sqrt.f64 z)) x)
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z))))
(*.f64 (-.f64 (*.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))
(/.f64 (sqrt.f64 z) x)
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))
(*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x))
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z))))
(fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 z) #s(literal -1 binary64))
(* -1/2 (* y (sqrt z)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (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 (fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) (neg.f64 x))) #s(literal -1/2 binary64))
(+ (* -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) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)))) 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) (/.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 z) x) (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)))) z))) z))
(+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y) z) (sqrt.f64 z))
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z)))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y)) (neg.f64 z)) (sqrt.f64 z))
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt z)))) z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z)))
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) (/.f64 x y)) (sqrt.f64 z) (*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)))) z) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y)) z) (sqrt.f64 z))
(* -1 (* z (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) z))))))
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x z) #s(literal -1 binary64)) z)
(* (sqrt z) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 z))
(* -1 (* z (- (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z)) z)

rewrite76.0ms (2.2%)

Memory
-2.6MiB live, 86.2MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060395
089395
1268379
01584368
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
39 → 213
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))
(fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)
(*.f64 y z)
y
z
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
x
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))
(*.f64 #s(literal 1/2 binary64) z)
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))
(/.f64 (sqrt.f64 z) x)
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x))) #s(literal 1/2 binary64))
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x)))
(*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x))
#s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)))
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
(neg.f64 x)
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))))
(*.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))
#s(approx (- (pow (/ x y) 2) z) (neg.f64 z))
(neg.f64 z)
(-.f64 (/.f64 x y) (sqrt.f64 z))
(/.f64 x y)
Outputs
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x)))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x)) #s(literal 1/2 binary64))
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x)))
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(*.f64 y #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)))) (neg.f64 (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)))))
(/.f64 (neg.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z))) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z))))
(/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z))) (-.f64 (/.f64 x y) (sqrt.f64 z))))
(neg.f64 (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)))))
#s(approx (- (pow (/ x y) 2) z) (neg.f64 z))
(neg.f64 z)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (neg.f64 (+.f64 (/.f64 x y) (sqrt.f64 z))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (+.f64 (/.f64 x y) (sqrt.f64 z)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (+.f64 (/.f64 x y) (sqrt.f64 z))))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(-.f64 (/.f64 x y) (sqrt.f64 z))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 x)) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))

eval43.0ms (1.3%)

Memory
18.9MiB live, 73.4MiB allocated; 13ms collecting garbage
Compiler

Compiled 9 561 to 1 297 computations (86.4% saved)

prune18.0ms (0.5%)

Memory
-9.8MiB live, 36.2MiB allocated; 5ms collecting garbage
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New3085313
Fresh101
Picked415
Done235
Total3159324
Accuracy
100.0%
Counts
324 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
93.8%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) x)) #s(literal 1/2 binary64))
93.9%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (+.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
47.5%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64))
39.5%
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x)) #s(literal 1/2 binary64))
42.8%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 z)))))
47.2%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
47.5%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) #s(approx (- (/ x y) (sqrt z)) (neg.f64 (sqrt.f64 z))))))
54.4%
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 886 to 325 computations (63.3% saved)

regimes61.0ms (1.7%)

Memory
4.0MiB live, 94.2MiB allocated; 10ms collecting garbage
Counts
30 → 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 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.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))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (+.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) 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 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) #s(approx (- (/ x y) (sqrt z)) (neg.f64 (sqrt.f64 z))))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 z)))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x)) #s(literal 1/2 binary64))
#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 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) #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))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x))) #s(literal 1/2 binary64))
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))))
(*.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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 x y) (sqrt.f64 z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))))))
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) x)) #s(literal 1/2 binary64))
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) z (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 (/.f64 x y) (sqrt.f64 z)))))
Outputs
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))
Calls

7 calls:

10.0ms
(*.f64 y (sqrt.f64 z))
10.0ms
x
8.0ms
z
8.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
8.0ms
y
Results
AccuracySegmentsBranch
99.8%1(sqrt.f64 z)
99.8%1(*.f64 y (sqrt.f64 z))
99.8%1(+.f64 x (*.f64 y (sqrt.f64 z)))
99.8%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
99.8%1x
99.8%1y
99.8%1z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes12.0ms (0.3%)

Memory
25.4MiB live, 25.4MiB allocated; 0ms collecting garbage
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 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
(*.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 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 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 (sqrt.f64 z) y) #s(literal 1/2 binary64)))
Calls

7 calls:

2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
2.0ms
x
2.0ms
z
2.0ms
(*.f64 y (sqrt.f64 z))
2.0ms
(sqrt.f64 z)
Results
AccuracySegmentsBranch
63.7%2(sqrt.f64 z)
79.6%3(*.f64 y (sqrt.f64 z))
66.5%5(+.f64 x (*.f64 y (sqrt.f64 z)))
66.5%5(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
74.6%3x
75.9%3y
63.7%2z
Compiler

Compiled 25 to 34 computations (-36% saved)

regimes12.0ms (0.3%)

Memory
-31.4MiB live, 19.7MiB allocated; 9ms collecting garbage
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:

5.0ms
y
1.0ms
x
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
(+.f64 x (*.f64 y (sqrt.f64 z)))
Results
AccuracySegmentsBranch
54.4%1(+.f64 x (*.f64 y (sqrt.f64 z)))
54.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z))))
54.4%1(sqrt.f64 z)
54.4%1z
54.4%1x
54.4%1y
54.4%1(*.f64 y (sqrt.f64 z))
Compiler

Compiled 25 to 34 computations (-36% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0751886119904995e+125
6.097140055657568e+131
0.0ms
-2.8573156432742197e+43
-1.4185646661007185e+39
Compiler

Compiled 13 to 16 computations (-23.1% saved)

simplify44.0ms (1.3%)

Memory
-4.0MiB live, 41.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02661
14661
29161
332561
4151261
5629561
Stop Event
node limit
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 -20000000000000000278744233918828198261424128 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 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 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))
#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))
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -20000000000000000278744233918828198261424128 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 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 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))
(if (or (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -20000000000000000278744233918828198261424128 binary64)) (not (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 binary64)))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 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) x))

derivations27.0ms (0.8%)

Memory
33.5MiB live, 33.5MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 67 to 27 computations (59.7% saved)

preprocess22.0ms (0.6%)

Memory
-10.6MiB live, 34.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 154 to 74 computations (51.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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