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

Time bar (total: 6.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze144.0ms (2.3%)

Memory
-14.0MiB live, 69.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample984.0ms (15.9%)

Memory
45.1MiB live, 1 541.0MiB allocated
Samples
668.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 407.0ms
ival-mult: 228.0ms (56% of total)
ival-div: 96.0ms (23.6% of total)
ival-add: 36.0ms (8.8% of total)
ival-sub: 34.0ms (8.4% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.2% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain144.0ms (2.3%)

Memory
-4.3MiB live, 193.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
700-1(-8.399438258413126e-190 -2.9058408372512993e-218 3.188963540356595e-158)(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
240-0-(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-z
00-0-(*.f64 x x)
00-0-(*.f64 y #s(literal 2 binary64))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 z z)
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))o/n690
↳(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))overflow164
↳(*.f64 y y)overflow75
↳(*.f64 x x)overflow63
↳(+.f64 (*.f64 x x) (*.f64 y y))overflow124
↳(*.f64 z z)overflow64
-.f64(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))nan-rescue240
↳(*.f64 y y)overflow75
↳(*.f64 x x)overflow63
↳(+.f64 (*.f64 x x) (*.f64 y y))overflow124
↳(*.f64 z z)overflow64
Confusion
Predicted +Predicted -
+851
-0170
Precision
1.0
Recall
0.9883720930232558
Confusion?
Predicted +Predicted MaybePredicted -
+8501
-00170
Precision?
1.0
Recall?
0.9883720930232558
Freqs
test
numberfreq
0171
177
28
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms512×0valid
Compiler

Compiled 166 to 48 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 15.0ms (62.6% of total)
ival-div: 3.0ms (12.5% of total)
ival-sub: 2.0ms (8.3% of total)
ival-add: 2.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess190.0ms (3.1%)

Memory
7.3MiB live, 222.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038138
1147135
2489135
32201135
46856117
01115
01815
13215
26915
313615
429515
563015
6151513
7349813
8794913
0812312
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Outputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 2 binary64))
Symmetry

(abs z)

(abs x)

(negabs y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.3%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify186.0ms (3%)

Memory
2.1MiB live, 116.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
01849
13249
26949
313649
429549
563049
6151547
7349847
8794947
0812344
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 2 binary64))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(fma.f64 (-.f64 x z) (+.f64 z x) (*.f64 y y))
(+.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

localize63.0ms (1%)

Memory
-10.4MiB live, 73.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(+.f64 (*.f64 x x) (*.f64 y y))
accuracy5.441379415792676
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
accuracy16.09609960654746
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Samples
56.0ms256×0valid
Compiler

Compiled 100 to 24 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (61.1% of total)
ival-div: 2.0ms (17.5% of total)
ival-sub: 1.0ms (8.7% of total)
ival-add: 1.0ms (8.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-18.5MiB live, 20.1MiB allocated
Counts
5 → 26
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Outputs
(- (pow y 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(- (pow x 2) (pow z 2))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
Calls

9 calls:

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

simplify112.0ms (1.8%)

Memory
14.0MiB live, 167.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071283
1196283
2571257
32180253
46033249
08326231
Stop Event
1×iter limit
1×node limit
Counts
26 → 26
Calls
Call 1
Inputs
(- (pow y 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(- (pow x 2) (pow z 2))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
Outputs
(- (pow y 2) (pow z 2))
(fma.f64 (neg.f64 z) z (*.f64 y y))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* 1/2 (/ (pow x 2) y))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(- (pow x 2) (pow z 2))
(*.f64 (-.f64 x z) (+.f64 z x))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(* -1 (pow z 2))
(*.f64 (neg.f64 z) z)
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x))
(* -1/2 (/ (pow z 2) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

rewrite161.0ms (2.6%)

Memory
23.8MiB live, 213.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
01839
16839
256939
0835136
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 528
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 6 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal 3 binary64))))) (+.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (-.f64 (*.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y z) (-.f64 y z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (-.f64 x y) (*.f64 z z))))
(*.f64 (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 y z) (-.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (-.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (*.f64 x x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))))
(*.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (pow.f64 (fma.f64 z z (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64))))
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(fma.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z)))
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))))
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))
(fma.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 z (neg.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z)))
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))))
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) z) (*.f64 #s(literal 4 binary64) (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x))))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 z z (fma.f64 y y (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 x x)))) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y)))
(-.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (+.f64 y z) (-.f64 y z)) (/.f64 #s(literal 1/2 binary64) y)))
(+.f64 (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z)) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 x z) (-.f64 x z))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 y z) (-.f64 y z))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (+.f64 y z) (-.f64 y z))))
(+.f64 (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 z) z)))
(+.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64)))

eval90.0ms (1.4%)

Memory
-3.1MiB live, 122.8MiB allocated
Compiler

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

prune13.0ms (0.2%)

Memory
-1.5MiB live, 35.6MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5368544
Fresh000
Picked101
Done000
Total5378545
Accuracy
100.0%
Counts
545 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.9%
(/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
▶42.1%
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)))
▶100.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
68.5%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶31.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
▶64.2%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
▶37.3%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
31.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
Compiler

Compiled 414 to 250 computations (39.6% saved)

simplify169.0ms (2.7%)

Memory
-24.1MiB live, 216.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -2 binary64) y)
cost-diff0
(/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))))
cost-diff0
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64))
cost-diff15936
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)))
cost-diff0
(+.f64 z x)
cost-diff0
(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) y)
cost-diff0
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
cost-diff0
(/.f64 (-.f64 x z) y)
cost-diff0
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
cost-diff0
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
036281
055256
1108256
2240256
3582256
41480256
54131248
08207248
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
(+.f64 z x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
(+.f64 z x)
z
x
#s(literal 1/2 binary64)
(/.f64 (-.f64 x z) y)
(-.f64 x z)
y
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))))
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
(-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))
(*.f64 z z)
z
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
(+.f64 z x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 (+.f64 z x) y) #s(literal 1/2 binary64)) (-.f64 x z)))
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(*.f64 (*.f64 (/.f64 (+.f64 z x) y) #s(literal 1/2 binary64)) (-.f64 x z))
(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 z x))
(+.f64 z x)
z
x
#s(literal 1/2 binary64)
(/.f64 (-.f64 x z) y)
(-.f64 x z)
y
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))))
(/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))))
(*.f64 #s(literal -2 binary64) y)
#s(literal -2 binary64)
y
(-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))
(-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))
(*.f64 z z)
z
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
x
#s(literal -1/2 binary64)

localize81.0ms (1.3%)

Memory
5.2MiB live, 122.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.254570019536884
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)))
accuracy2.749977294132264
(-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))
accuracy9.055886356082318
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64))
accuracy15.767239013181747
(/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))))
accuracy0.0
(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
accuracy0.01171875
(/.f64 (-.f64 x z) y)
accuracy0.08984375
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
accuracy22.912376232432578
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
accuracy0.0
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
accuracy0.0
(*.f64 x x)
accuracy2.149671343408896
(/.f64 (*.f64 x x) y)
accuracy22.80827758866285
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) y)
accuracy20.07918882040271
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy0.0
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
accuracy0.0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
accuracy0.01171875
(/.f64 (-.f64 x z) y)
accuracy0.015625
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
Samples
37.0ms175×0valid
17.0ms81×0invalid
Compiler

Compiled 535 to 69 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 17.0ms (46.7% of total)
ival-div: 6.0ms (16.5% of total)
ival-pow: 5.0ms (13.7% of total)
ival-add: 4.0ms (11% of total)
ival-sub: 3.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.9%)

Memory
37.7MiB live, 75.1MiB allocated
Counts
19 → 171
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(/.f64 (-.f64 x z) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
(+.f64 z x)
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))))
(*.f64 #s(literal -2 binary64) y)
(-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))
Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* 1/2 (/ (pow x 2) y))
(/ (pow x 2) y)
(pow x 2)
(* -1/2 (/ (pow z 2) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 z)
(+ (* 1/2 x) (* 1/2 z))
z
(+ x z)
(/ (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow y 2))) y)
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) y)) (/ (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow y 2))) y))
(* (sqrt (/ (- (pow z 2) (pow y 2)) y)) (sqrt -1/2))
(+ (* 1/4 (* (/ (pow x 2) (sqrt -1/2)) (sqrt (/ 1 (* y (- (pow z 2) (pow y 2))))))) (* (sqrt (/ (- (pow z 2) (pow y 2)) y)) (sqrt -1/2)))
(+ (* (sqrt (/ (- (pow z 2) (pow y 2)) y)) (sqrt -1/2)) (* (pow x 2) (+ (* -1/32 (* (/ (pow x 2) (pow (sqrt -1/2) 3)) (sqrt (/ 1 (* y (pow (- (pow z 2) (pow y 2)) 3)))))) (* 1/4 (* (sqrt (/ 1 (* y (- (pow z 2) (pow y 2))))) (/ 1 (sqrt -1/2)))))))
(+ (* (sqrt (/ (- (pow z 2) (pow y 2)) y)) (sqrt -1/2)) (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (* y (- (pow z 2) (pow y 2))))) (/ 1 (sqrt -1/2)))) (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (* y (pow (- (pow z 2) (pow y 2)) 3)))) (/ 1 (pow (sqrt -1/2) 3)))) (* 1/128 (* (/ (pow x 2) (pow (sqrt -1/2) 5)) (sqrt (/ 1 (* y (pow (- (pow z 2) (pow y 2)) 5)))))))))))
(* -2 (/ y (- (pow z 2) (pow y 2))))
(+ (* -2 (/ y (- (pow z 2) (pow y 2)))) (* -2 (/ (* (pow x 2) y) (pow (- (pow z 2) (pow y 2)) 2))))
(+ (* -2 (/ y (- (pow z 2) (pow y 2)))) (* (pow x 2) (+ (* -2 (/ y (pow (- (pow z 2) (pow y 2)) 2))) (* -2 (/ (* (pow x 2) y) (pow (- (pow z 2) (pow y 2)) 3))))))
(+ (* -2 (/ y (- (pow z 2) (pow y 2)))) (* (pow x 2) (+ (* -2 (/ y (pow (- (pow z 2) (pow y 2)) 2))) (* (pow x 2) (+ (* -2 (/ y (pow (- (pow z 2) (pow y 2)) 3))) (* -2 (/ (* (pow x 2) y) (pow (- (pow z 2) (pow y 2)) 4))))))))
(- (pow z 2) (pow y 2))
(- (+ (* -1 (pow x 2)) (pow z 2)) (pow y 2))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ z x))))
x
(* x (+ 1 (/ z x)))
(* -1 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) y))
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1/2) 2) y)) (/ (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow y 2))) (* (pow x 2) y))))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))
(* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (+ (* -1/32 (* (/ (pow (- (pow z 2) (pow y 2)) 2) (* (pow x 4) (pow (sqrt 1/2) 3))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))
(* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (+ (* -1/32 (* (/ (pow (- (pow z 2) (pow y 2)) 2) (* (pow x 4) (pow (sqrt 1/2) 3))) (sqrt (/ 1 y)))) (+ (* -1/128 (* (/ (pow (- (pow z 2) (pow y 2)) 3) (* (pow x 6) (pow (sqrt 1/2) 5))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))))
(* 2 (/ y (pow x 2)))
(/ (+ (* 2 y) (* 2 (/ (* y (- (pow z 2) (pow y 2))) (pow x 2)))) (pow x 2))
(/ (+ (* 2 y) (+ (* 2 (/ (* y (- (pow z 2) (pow y 2))) (pow x 2))) (* 2 (/ (* y (pow (- (pow z 2) (pow y 2)) 2)) (pow x 4))))) (pow x 2))
(/ (+ (* 2 y) (+ (* 2 (/ (* y (- (pow z 2) (pow y 2))) (pow x 2))) (+ (* 2 (/ (* y (pow (- (pow z 2) (pow y 2)) 2)) (pow x 4))) (* 2 (/ (* y (pow (- (pow z 2) (pow y 2)) 3)) (pow x 6)))))) (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (+ 1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* -1 (* x (- (* -1/2 (/ z x)) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* (* x (sqrt 1/2)) (sqrt (/ 1 y))))
(* -1 (* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))
(* -1 (* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (+ (* -1/32 (* (/ (pow (- (pow z 2) (pow y 2)) 2) (* (pow x 4) (pow (sqrt 1/2) 3))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (+ (* -1/32 (* (/ (pow (- (pow z 2) (pow y 2)) 2) (* (pow x 4) (pow (sqrt 1/2) 3))) (sqrt (/ 1 y)))) (+ (* -1/128 (* (/ (pow (- (pow z 2) (pow y 2)) 3) (* (pow x 6) (pow (sqrt 1/2) 5))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (- x z) y)
(* 1/2 y)
(/ (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow x 2))) y)
(/ (+ (* -1 (* (pow y 2) (pow (sqrt -1/2) 2))) (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow x 2)))) y)
(* (sqrt (/ (- (pow z 2) (pow x 2)) y)) (sqrt -1/2))
(/ (+ (* 1/4 (* (sqrt (/ (pow y 5) (- (pow z 2) (pow x 2)))) (/ 1 (sqrt -1/2)))) (* (sqrt (* y (- (pow z 2) (pow x 2)))) (sqrt -1/2))) y)
(/ (+ (* (sqrt (* y (- (pow z 2) (pow x 2)))) (sqrt -1/2)) (* (pow y 3) (+ (* -1/32 (* (sqrt (/ (pow y 3) (pow (- (pow z 2) (pow x 2)) 3))) (/ 1 (pow (sqrt -1/2) 3)))) (* 1/4 (* (sqrt (/ 1 (* y (- (pow z 2) (pow x 2))))) (/ 1 (sqrt -1/2))))))) y)
(/ (+ (* (sqrt (* y (- (pow z 2) (pow x 2)))) (sqrt -1/2)) (* (pow y 3) (+ (* 1/4 (* (sqrt (/ 1 (* y (- (pow z 2) (pow x 2))))) (/ 1 (sqrt -1/2)))) (* (pow y 3) (+ (* -1/32 (* (sqrt (/ 1 (* (pow y 3) (pow (- (pow z 2) (pow x 2)) 3)))) (/ 1 (pow (sqrt -1/2) 3)))) (* 1/128 (* (sqrt (/ y (pow (- (pow z 2) (pow x 2)) 5))) (/ 1 (pow (sqrt -1/2) 5))))))))) y)
(* -2 (/ y (- (pow z 2) (pow x 2))))
(* y (- (* -2 (/ (pow y 2) (pow (- (pow z 2) (pow x 2)) 2))) (* 2 (/ 1 (- (pow z 2) (pow x 2))))))
(* y (- (* (pow y 2) (- (* -2 (/ (pow y 2) (pow (- (pow z 2) (pow x 2)) 3))) (* 2 (/ 1 (pow (- (pow z 2) (pow x 2)) 2))))) (* 2 (/ 1 (- (pow z 2) (pow x 2))))))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -2 (/ (pow y 2) (pow (- (pow z 2) (pow x 2)) 4))) (* 2 (/ 1 (pow (- (pow z 2) (pow x 2)) 3))))) (* 2 (/ 1 (pow (- (pow z 2) (pow x 2)) 2))))) (* 2 (/ 1 (- (pow z 2) (pow x 2))))))
(* -2 y)
(- (pow z 2) (pow x 2))
(- (+ (* -1 (pow y 2)) (pow z 2)) (pow x 2))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
y
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* -1 (* y (pow (sqrt -1/2) 2)))
(* y (+ (* -1 (pow (sqrt -1/2) 2)) (/ (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow x 2))) (pow y 2))))
(* (sqrt y) (sqrt 1/2))
(* y (+ (* -1/4 (* (sqrt (/ 1 (pow y 5))) (/ (- (pow z 2) (pow x 2)) (sqrt 1/2)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))
(* y (+ (* -1/4 (* (sqrt (/ 1 (pow y 5))) (/ (- (pow z 2) (pow x 2)) (sqrt 1/2)))) (+ (* -1/32 (* (sqrt (/ 1 (pow y 9))) (/ (pow (- (pow z 2) (pow x 2)) 2) (pow (sqrt 1/2) 3)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))
(* y (+ (* -1/4 (* (sqrt (/ 1 (pow y 5))) (/ (- (pow z 2) (pow x 2)) (sqrt 1/2)))) (+ (* -1/32 (* (sqrt (/ 1 (pow y 9))) (/ (pow (- (pow z 2) (pow x 2)) 2) (pow (sqrt 1/2) 3)))) (+ (* -1/128 (* (sqrt (/ 1 (pow y 13))) (/ (pow (- (pow z 2) (pow x 2)) 3) (pow (sqrt 1/2) 5)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))))
(/ 2 y)
(/ (+ 2 (* 2 (/ (- (pow z 2) (pow x 2)) (pow y 2)))) y)
(/ (- (+ 2 (* 2 (/ (pow (- (pow z 2) (pow x 2)) 2) (pow y 4)))) (* -2 (/ (- (pow z 2) (pow x 2)) (pow y 2)))) y)
(/ (- (+ 2 (* 2 (/ (pow (- (pow z 2) (pow x 2)) 3) (pow y 6)))) (+ (* -2 (/ (- (pow z 2) (pow x 2)) (pow y 2))) (* -2 (/ (pow (- (pow z 2) (pow x 2)) 2) (pow y 4))))) y)
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (+ 1 (/ (pow x 2) (pow y 2)))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* y (pow (sqrt 1/2) 2))
(* -1 (* y (+ (* -1 (pow (sqrt 1/2) 2)) (/ (* (pow (sqrt 1/2) 2) (- (pow z 2) (pow x 2))) (pow y 2)))))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* y (+ (* -1/4 (* (sqrt (/ 1 (pow y 5))) (/ (* (sqrt -1) (- (pow z 2) (pow x 2))) (sqrt -1/2)))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))))))
(* -1 (* y (+ (* -1 (/ (+ (* 1/32 (* (sqrt (/ 1 (pow y 3))) (/ (* (sqrt -1) (pow (- (pow z 2) (pow x 2)) 2)) (pow (sqrt -1/2) 3)))) (* 1/4 (* (sqrt y) (/ (* (sqrt -1) (- (pow z 2) (pow x 2))) (sqrt -1/2))))) (pow y 3))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow y 3)) (/ (* (sqrt -1) (pow (- (pow z 2) (pow x 2)) 2)) (pow (sqrt -1/2) 3)))) (* -1/128 (* (sqrt (/ 1 y)) (/ (* (sqrt -1) (pow (- (pow z 2) (pow x 2)) 3)) (pow (sqrt -1/2) 5))))) (pow y 3))) (* 1/4 (* (sqrt y) (/ (* (sqrt -1) (- (pow z 2) (pow x 2))) (sqrt -1/2))))) (pow y 3))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))))))
(* -1 (/ (- (* -2 (/ (- (pow z 2) (pow x 2)) (pow y 2))) 2) y))
(* -1 (/ (- (* -2 (/ (pow (- (pow z 2) (pow x 2)) 2) (pow y 4))) (+ 2 (* 2 (/ (- (pow z 2) (pow x 2)) (pow y 2))))) y))
(* -1 (/ (- (* -2 (/ (pow (- (pow z 2) (pow x 2)) 3) (pow y 6))) (+ 2 (+ (* 2 (/ (- (pow z 2) (pow x 2)) (pow y 2))) (* 2 (/ (pow (- (pow z 2) (pow x 2)) 2) (pow y 4)))))) y))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(* -1 (/ (* (pow (sqrt -1/2) 2) (+ (pow x 2) (pow y 2))) y))
(+ (* -1 (/ (* (pow (sqrt -1/2) 2) (+ (pow x 2) (pow y 2))) y)) (/ (* (pow z 2) (pow (sqrt -1/2) 2)) y))
(* (sqrt (/ (+ (pow x 2) (pow y 2)) y)) (sqrt 1/2))
(+ (* -1/4 (* (sqrt (/ 1 (* y (+ (pow x 2) (pow y 2))))) (/ (pow z 2) (sqrt 1/2)))) (* (sqrt (/ (+ (pow x 2) (pow y 2)) y)) (sqrt 1/2)))
(+ (* (sqrt (/ (+ (pow x 2) (pow y 2)) y)) (sqrt 1/2)) (* (pow z 2) (+ (* -1/4 (* (sqrt (/ 1 (* y (+ (pow x 2) (pow y 2))))) (/ 1 (sqrt 1/2)))) (* -1/32 (* (sqrt (/ 1 (* y (pow (+ (pow x 2) (pow y 2)) 3)))) (/ (pow z 2) (pow (sqrt 1/2) 3)))))))
(+ (* (sqrt (/ (+ (pow x 2) (pow y 2)) y)) (sqrt 1/2)) (* (pow z 2) (+ (* -1/4 (* (sqrt (/ 1 (* y (+ (pow x 2) (pow y 2))))) (/ 1 (sqrt 1/2)))) (* (pow z 2) (+ (* -1/32 (* (sqrt (/ 1 (* y (pow (+ (pow x 2) (pow y 2)) 3)))) (/ 1 (pow (sqrt 1/2) 3)))) (* -1/128 (* (sqrt (/ 1 (* y (pow (+ (pow x 2) (pow y 2)) 5)))) (/ (pow z 2) (pow (sqrt 1/2) 5)))))))))
(* 2 (/ y (+ (pow x 2) (pow y 2))))
(+ (* 2 (/ y (+ (pow x 2) (pow y 2)))) (* 2 (/ (* y (pow z 2)) (pow (+ (pow x 2) (pow y 2)) 2))))
(+ (* 2 (/ y (+ (pow x 2) (pow y 2)))) (* (pow z 2) (+ (* 2 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* 2 (/ (* y (pow z 2)) (pow (+ (pow x 2) (pow y 2)) 3))))))
(+ (* 2 (/ y (+ (pow x 2) (pow y 2)))) (* (pow z 2) (+ (* 2 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* (pow z 2) (+ (* 2 (/ y (pow (+ (pow x 2) (pow y 2)) 3))) (* 2 (/ (* y (pow z 2)) (pow (+ (pow x 2) (pow y 2)) 4))))))))
(* -1 (+ (pow x 2) (pow y 2)))
(- (pow z 2) (+ (pow x 2) (pow y 2)))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ x z))))
(* z (+ 1 (/ x z)))
(/ (* (pow z 2) (pow (sqrt -1/2) 2)) y)
(* (pow z 2) (+ (* -1 (/ (* (pow (sqrt -1/2) 2) (+ (pow x 2) (pow y 2))) (* y (pow z 2)))) (/ (pow (sqrt -1/2) 2) y)))
(* (sqrt (/ 1 y)) (* z (sqrt -1/2)))
(* z (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2))))
(* z (+ (* -1/32 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 2) (* (pow z 4) (pow (sqrt -1/2) 3))))) (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2)))))
(* z (+ (* -1/32 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 2) (* (pow z 4) (pow (sqrt -1/2) 3))))) (+ (* 1/128 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 3) (* (pow z 6) (pow (sqrt -1/2) 5))))) (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2))))))
(* -2 (/ y (pow z 2)))
(/ (+ (* -2 y) (* -2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)))) (pow z 2))
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2))) (* -2 (/ (* y (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))))) (pow z 2))
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2))) (+ (* -2 (/ (* y (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (* -2 (/ (* y (pow (+ (pow x 2) (pow y 2)) 3)) (pow z 6)))))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* -1 (* z (- (* -1/2 (/ x z)) 1/2)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* (sqrt (/ 1 y)) (* z (sqrt -1/2))))
(* -1 (* z (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2)))))
(* -1 (* z (+ (* -1/32 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 2) (* (pow z 4) (pow (sqrt -1/2) 3))))) (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2))))))
(* -1 (* z (+ (* -1/32 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 2) (* (pow z 4) (pow (sqrt -1/2) 3))))) (+ (* 1/128 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 3) (* (pow z 6) (pow (sqrt -1/2) 5))))) (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2)))))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
z
@inf
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (* (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2) (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2)) (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2) (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) (* -2 y) (- (* z z) (+ (* y y) (* x x))))
8.0ms
y
@inf
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (* (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2) (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2)) (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2) (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) (* -2 y) (- (* z z) (+ (* y y) (* x x))))
8.0ms
y
@0
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (* (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2) (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2)) (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2) (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) (* -2 y) (- (* z z) (+ (* y y) (* x x))))
7.0ms
y
@-inf
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (* (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2) (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2)) (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2) (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) (* -2 y) (- (* z z) (+ (* y y) (* x x))))
6.0ms
x
@0
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* x x) y) 1/2) (/ (* x x) y) (* x x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (+ z x) 1/2) (/ (- x z) y)) (* (+ z x) 1/2) (+ z x) (* (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2) (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2)) (pow (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) -1/2) (/ (* -2 y) (- (* z z) (+ (* y y) (* x x)))) (* -2 y) (- (* z z) (+ (* y y) (* x x))))

simplify178.0ms (2.9%)

Memory
-40.0MiB live, 205.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07364095
122263789
279923787
080023596
Stop Event
1×iter limit
1×node limit
Counts
171 → 168
Calls
Call 1
Inputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* 1/2 (/ (pow x 2) y))
(/ (pow x 2) y)
(pow x 2)
(* -1/2 (/ (pow z 2) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 z)
(+ (* 1/2 x) (* 1/2 z))
z
(+ x z)
(/ (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow y 2))) y)
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) y)) (/ (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow y 2))) y))
(* (sqrt (/ (- (pow z 2) (pow y 2)) y)) (sqrt -1/2))
(+ (* 1/4 (* (/ (pow x 2) (sqrt -1/2)) (sqrt (/ 1 (* y (- (pow z 2) (pow y 2))))))) (* (sqrt (/ (- (pow z 2) (pow y 2)) y)) (sqrt -1/2)))
(+ (* (sqrt (/ (- (pow z 2) (pow y 2)) y)) (sqrt -1/2)) (* (pow x 2) (+ (* -1/32 (* (/ (pow x 2) (pow (sqrt -1/2) 3)) (sqrt (/ 1 (* y (pow (- (pow z 2) (pow y 2)) 3)))))) (* 1/4 (* (sqrt (/ 1 (* y (- (pow z 2) (pow y 2))))) (/ 1 (sqrt -1/2)))))))
(+ (* (sqrt (/ (- (pow z 2) (pow y 2)) y)) (sqrt -1/2)) (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (* y (- (pow z 2) (pow y 2))))) (/ 1 (sqrt -1/2)))) (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (* y (pow (- (pow z 2) (pow y 2)) 3)))) (/ 1 (pow (sqrt -1/2) 3)))) (* 1/128 (* (/ (pow x 2) (pow (sqrt -1/2) 5)) (sqrt (/ 1 (* y (pow (- (pow z 2) (pow y 2)) 5)))))))))))
(* -2 (/ y (- (pow z 2) (pow y 2))))
(+ (* -2 (/ y (- (pow z 2) (pow y 2)))) (* -2 (/ (* (pow x 2) y) (pow (- (pow z 2) (pow y 2)) 2))))
(+ (* -2 (/ y (- (pow z 2) (pow y 2)))) (* (pow x 2) (+ (* -2 (/ y (pow (- (pow z 2) (pow y 2)) 2))) (* -2 (/ (* (pow x 2) y) (pow (- (pow z 2) (pow y 2)) 3))))))
(+ (* -2 (/ y (- (pow z 2) (pow y 2)))) (* (pow x 2) (+ (* -2 (/ y (pow (- (pow z 2) (pow y 2)) 2))) (* (pow x 2) (+ (* -2 (/ y (pow (- (pow z 2) (pow y 2)) 3))) (* -2 (/ (* (pow x 2) y) (pow (- (pow z 2) (pow y 2)) 4))))))))
(- (pow z 2) (pow y 2))
(- (+ (* -1 (pow x 2)) (pow z 2)) (pow y 2))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ z x))))
x
(* x (+ 1 (/ z x)))
(* -1 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) y))
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1/2) 2) y)) (/ (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow y 2))) (* (pow x 2) y))))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))
(* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (+ (* -1/32 (* (/ (pow (- (pow z 2) (pow y 2)) 2) (* (pow x 4) (pow (sqrt 1/2) 3))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))
(* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (+ (* -1/32 (* (/ (pow (- (pow z 2) (pow y 2)) 2) (* (pow x 4) (pow (sqrt 1/2) 3))) (sqrt (/ 1 y)))) (+ (* -1/128 (* (/ (pow (- (pow z 2) (pow y 2)) 3) (* (pow x 6) (pow (sqrt 1/2) 5))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))))
(* 2 (/ y (pow x 2)))
(/ (+ (* 2 y) (* 2 (/ (* y (- (pow z 2) (pow y 2))) (pow x 2)))) (pow x 2))
(/ (+ (* 2 y) (+ (* 2 (/ (* y (- (pow z 2) (pow y 2))) (pow x 2))) (* 2 (/ (* y (pow (- (pow z 2) (pow y 2)) 2)) (pow x 4))))) (pow x 2))
(/ (+ (* 2 y) (+ (* 2 (/ (* y (- (pow z 2) (pow y 2))) (pow x 2))) (+ (* 2 (/ (* y (pow (- (pow z 2) (pow y 2)) 2)) (pow x 4))) (* 2 (/ (* y (pow (- (pow z 2) (pow y 2)) 3)) (pow x 6)))))) (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) (+ 1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* -1 (* x (- (* -1/2 (/ z x)) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1)))
(* -1 (* (* x (sqrt 1/2)) (sqrt (/ 1 y))))
(* -1 (* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))
(* -1 (* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (+ (* -1/32 (* (/ (pow (- (pow z 2) (pow y 2)) 2) (* (pow x 4) (pow (sqrt 1/2) 3))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))))
(* -1 (* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (+ (* -1/32 (* (/ (pow (- (pow z 2) (pow y 2)) 2) (* (pow x 4) (pow (sqrt 1/2) 3))) (sqrt (/ 1 y)))) (+ (* -1/128 (* (/ (pow (- (pow z 2) (pow y 2)) 3) (* (pow x 6) (pow (sqrt 1/2) 5))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (- x z) y)
(* 1/2 y)
(/ (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow x 2))) y)
(/ (+ (* -1 (* (pow y 2) (pow (sqrt -1/2) 2))) (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow x 2)))) y)
(* (sqrt (/ (- (pow z 2) (pow x 2)) y)) (sqrt -1/2))
(/ (+ (* 1/4 (* (sqrt (/ (pow y 5) (- (pow z 2) (pow x 2)))) (/ 1 (sqrt -1/2)))) (* (sqrt (* y (- (pow z 2) (pow x 2)))) (sqrt -1/2))) y)
(/ (+ (* (sqrt (* y (- (pow z 2) (pow x 2)))) (sqrt -1/2)) (* (pow y 3) (+ (* -1/32 (* (sqrt (/ (pow y 3) (pow (- (pow z 2) (pow x 2)) 3))) (/ 1 (pow (sqrt -1/2) 3)))) (* 1/4 (* (sqrt (/ 1 (* y (- (pow z 2) (pow x 2))))) (/ 1 (sqrt -1/2))))))) y)
(/ (+ (* (sqrt (* y (- (pow z 2) (pow x 2)))) (sqrt -1/2)) (* (pow y 3) (+ (* 1/4 (* (sqrt (/ 1 (* y (- (pow z 2) (pow x 2))))) (/ 1 (sqrt -1/2)))) (* (pow y 3) (+ (* -1/32 (* (sqrt (/ 1 (* (pow y 3) (pow (- (pow z 2) (pow x 2)) 3)))) (/ 1 (pow (sqrt -1/2) 3)))) (* 1/128 (* (sqrt (/ y (pow (- (pow z 2) (pow x 2)) 5))) (/ 1 (pow (sqrt -1/2) 5))))))))) y)
(* -2 (/ y (- (pow z 2) (pow x 2))))
(* y (- (* -2 (/ (pow y 2) (pow (- (pow z 2) (pow x 2)) 2))) (* 2 (/ 1 (- (pow z 2) (pow x 2))))))
(* y (- (* (pow y 2) (- (* -2 (/ (pow y 2) (pow (- (pow z 2) (pow x 2)) 3))) (* 2 (/ 1 (pow (- (pow z 2) (pow x 2)) 2))))) (* 2 (/ 1 (- (pow z 2) (pow x 2))))))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -2 (/ (pow y 2) (pow (- (pow z 2) (pow x 2)) 4))) (* 2 (/ 1 (pow (- (pow z 2) (pow x 2)) 3))))) (* 2 (/ 1 (pow (- (pow z 2) (pow x 2)) 2))))) (* 2 (/ 1 (- (pow z 2) (pow x 2))))))
(* -2 y)
(- (pow z 2) (pow x 2))
(- (+ (* -1 (pow y 2)) (pow z 2)) (pow x 2))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
y
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* -1 (* y (pow (sqrt -1/2) 2)))
(* y (+ (* -1 (pow (sqrt -1/2) 2)) (/ (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow x 2))) (pow y 2))))
(* (sqrt y) (sqrt 1/2))
(* y (+ (* -1/4 (* (sqrt (/ 1 (pow y 5))) (/ (- (pow z 2) (pow x 2)) (sqrt 1/2)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))
(* y (+ (* -1/4 (* (sqrt (/ 1 (pow y 5))) (/ (- (pow z 2) (pow x 2)) (sqrt 1/2)))) (+ (* -1/32 (* (sqrt (/ 1 (pow y 9))) (/ (pow (- (pow z 2) (pow x 2)) 2) (pow (sqrt 1/2) 3)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))
(* y (+ (* -1/4 (* (sqrt (/ 1 (pow y 5))) (/ (- (pow z 2) (pow x 2)) (sqrt 1/2)))) (+ (* -1/32 (* (sqrt (/ 1 (pow y 9))) (/ (pow (- (pow z 2) (pow x 2)) 2) (pow (sqrt 1/2) 3)))) (+ (* -1/128 (* (sqrt (/ 1 (pow y 13))) (/ (pow (- (pow z 2) (pow x 2)) 3) (pow (sqrt 1/2) 5)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))))
(/ 2 y)
(/ (+ 2 (* 2 (/ (- (pow z 2) (pow x 2)) (pow y 2)))) y)
(/ (- (+ 2 (* 2 (/ (pow (- (pow z 2) (pow x 2)) 2) (pow y 4)))) (* -2 (/ (- (pow z 2) (pow x 2)) (pow y 2)))) y)
(/ (- (+ 2 (* 2 (/ (pow (- (pow z 2) (pow x 2)) 3) (pow y 6)))) (+ (* -2 (/ (- (pow z 2) (pow x 2)) (pow y 2))) (* -2 (/ (pow (- (pow z 2) (pow x 2)) 2) (pow y 4))))) y)
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow z 2) (pow y 2)) (+ 1 (/ (pow x 2) (pow y 2)))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* y (pow (sqrt 1/2) 2))
(* -1 (* y (+ (* -1 (pow (sqrt 1/2) 2)) (/ (* (pow (sqrt 1/2) 2) (- (pow z 2) (pow x 2))) (pow y 2)))))
(* -1 (* (sqrt y) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* y (+ (* -1/4 (* (sqrt (/ 1 (pow y 5))) (/ (* (sqrt -1) (- (pow z 2) (pow x 2))) (sqrt -1/2)))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))))))
(* -1 (* y (+ (* -1 (/ (+ (* 1/32 (* (sqrt (/ 1 (pow y 3))) (/ (* (sqrt -1) (pow (- (pow z 2) (pow x 2)) 2)) (pow (sqrt -1/2) 3)))) (* 1/4 (* (sqrt y) (/ (* (sqrt -1) (- (pow z 2) (pow x 2))) (sqrt -1/2))))) (pow y 3))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow y 3)) (/ (* (sqrt -1) (pow (- (pow z 2) (pow x 2)) 2)) (pow (sqrt -1/2) 3)))) (* -1/128 (* (sqrt (/ 1 y)) (/ (* (sqrt -1) (pow (- (pow z 2) (pow x 2)) 3)) (pow (sqrt -1/2) 5))))) (pow y 3))) (* 1/4 (* (sqrt y) (/ (* (sqrt -1) (- (pow z 2) (pow x 2))) (sqrt -1/2))))) (pow y 3))) (* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))))))
(* -1 (/ (- (* -2 (/ (- (pow z 2) (pow x 2)) (pow y 2))) 2) y))
(* -1 (/ (- (* -2 (/ (pow (- (pow z 2) (pow x 2)) 2) (pow y 4))) (+ 2 (* 2 (/ (- (pow z 2) (pow x 2)) (pow y 2))))) y))
(* -1 (/ (- (* -2 (/ (pow (- (pow z 2) (pow x 2)) 3) (pow y 6))) (+ 2 (+ (* 2 (/ (- (pow z 2) (pow x 2)) (pow y 2))) (* 2 (/ (pow (- (pow z 2) (pow x 2)) 2) (pow y 4)))))) y))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(* -1 (/ (* (pow (sqrt -1/2) 2) (+ (pow x 2) (pow y 2))) y))
(+ (* -1 (/ (* (pow (sqrt -1/2) 2) (+ (pow x 2) (pow y 2))) y)) (/ (* (pow z 2) (pow (sqrt -1/2) 2)) y))
(* (sqrt (/ (+ (pow x 2) (pow y 2)) y)) (sqrt 1/2))
(+ (* -1/4 (* (sqrt (/ 1 (* y (+ (pow x 2) (pow y 2))))) (/ (pow z 2) (sqrt 1/2)))) (* (sqrt (/ (+ (pow x 2) (pow y 2)) y)) (sqrt 1/2)))
(+ (* (sqrt (/ (+ (pow x 2) (pow y 2)) y)) (sqrt 1/2)) (* (pow z 2) (+ (* -1/4 (* (sqrt (/ 1 (* y (+ (pow x 2) (pow y 2))))) (/ 1 (sqrt 1/2)))) (* -1/32 (* (sqrt (/ 1 (* y (pow (+ (pow x 2) (pow y 2)) 3)))) (/ (pow z 2) (pow (sqrt 1/2) 3)))))))
(+ (* (sqrt (/ (+ (pow x 2) (pow y 2)) y)) (sqrt 1/2)) (* (pow z 2) (+ (* -1/4 (* (sqrt (/ 1 (* y (+ (pow x 2) (pow y 2))))) (/ 1 (sqrt 1/2)))) (* (pow z 2) (+ (* -1/32 (* (sqrt (/ 1 (* y (pow (+ (pow x 2) (pow y 2)) 3)))) (/ 1 (pow (sqrt 1/2) 3)))) (* -1/128 (* (sqrt (/ 1 (* y (pow (+ (pow x 2) (pow y 2)) 5)))) (/ (pow z 2) (pow (sqrt 1/2) 5)))))))))
(* 2 (/ y (+ (pow x 2) (pow y 2))))
(+ (* 2 (/ y (+ (pow x 2) (pow y 2)))) (* 2 (/ (* y (pow z 2)) (pow (+ (pow x 2) (pow y 2)) 2))))
(+ (* 2 (/ y (+ (pow x 2) (pow y 2)))) (* (pow z 2) (+ (* 2 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* 2 (/ (* y (pow z 2)) (pow (+ (pow x 2) (pow y 2)) 3))))))
(+ (* 2 (/ y (+ (pow x 2) (pow y 2)))) (* (pow z 2) (+ (* 2 (/ y (pow (+ (pow x 2) (pow y 2)) 2))) (* (pow z 2) (+ (* 2 (/ y (pow (+ (pow x 2) (pow y 2)) 3))) (* 2 (/ (* y (pow z 2)) (pow (+ (pow x 2) (pow y 2)) 4))))))))
(* -1 (+ (pow x 2) (pow y 2)))
(- (pow z 2) (+ (pow x 2) (pow y 2)))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(* z (+ 1/2 (* 1/2 (/ x z))))
(* z (+ 1 (/ x z)))
(/ (* (pow z 2) (pow (sqrt -1/2) 2)) y)
(* (pow z 2) (+ (* -1 (/ (* (pow (sqrt -1/2) 2) (+ (pow x 2) (pow y 2))) (* y (pow z 2)))) (/ (pow (sqrt -1/2) 2) y)))
(* (sqrt (/ 1 y)) (* z (sqrt -1/2)))
(* z (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2))))
(* z (+ (* -1/32 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 2) (* (pow z 4) (pow (sqrt -1/2) 3))))) (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2)))))
(* z (+ (* -1/32 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 2) (* (pow z 4) (pow (sqrt -1/2) 3))))) (+ (* 1/128 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 3) (* (pow z 6) (pow (sqrt -1/2) 5))))) (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2))))))
(* -2 (/ y (pow z 2)))
(/ (+ (* -2 y) (* -2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2)))) (pow z 2))
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2))) (* -2 (/ (* y (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))))) (pow z 2))
(/ (+ (* -2 y) (+ (* -2 (/ (* y (+ (pow x 2) (pow y 2))) (pow z 2))) (+ (* -2 (/ (* y (pow (+ (pow x 2) (pow y 2)) 2)) (pow z 4))) (* -2 (/ (* y (pow (+ (pow x 2) (pow y 2)) 3)) (pow z 6)))))) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (+ (pow x 2) (pow y 2)) (pow z 2)))))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* -1 (* z (- (* -1/2 (/ x z)) 1/2)))
(* -1 (* z (- (* -1 (/ x z)) 1)))
(* -1 (* (sqrt (/ 1 y)) (* z (sqrt -1/2))))
(* -1 (* z (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2)))))
(* -1 (* z (+ (* -1/32 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 2) (* (pow z 4) (pow (sqrt -1/2) 3))))) (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2))))))
(* -1 (* z (+ (* -1/32 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 2) (* (pow z 4) (pow (sqrt -1/2) 3))))) (+ (* 1/128 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 3) (* (pow z 6) (pow (sqrt -1/2) 5))))) (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2)))))))
Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(*.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 x y) (/.f64 (*.f64 (+.f64 y z) (-.f64 y z)) y)))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z (*.f64 (fma.f64 x (/.f64 x y) y) #s(literal 1/2 binary64)))
(+ y (* -1 (/ (pow z 2) y)))
(-.f64 y (/.f64 (*.f64 z z) y))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
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(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(fma.f64 (+.f64 #s(literal 0 binary64) (/.f64 x y)) x (-.f64 y (/.f64 (*.f64 z z) y)))
(* -1 (/ z y))
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(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(* 1/2 (/ (pow x 2) y))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(* -1/2 (/ (pow z 2) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)
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(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(+ (* 1/2 x) (* 1/2 z))
(*.f64 #s(literal 1/2 binary64) (+.f64 z x))
z
(+ x z)
(+.f64 z x)
(/ (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow y 2))) y)
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal -1/2 binary64) y))
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) y)) (/ (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow y 2))) y))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal -1/2 binary64) y)))
(* (sqrt (/ (- (pow z 2) (pow y 2)) y)) (sqrt -1/2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) y)) (sqrt.f64 #s(literal -1/2 binary64)))
(+ (* 1/4 (* (/ (pow x 2) (sqrt -1/2)) (sqrt (/ 1 (* y (- (pow z 2) (pow y 2))))))) (* (sqrt (/ (- (pow z 2) (pow y 2)) y)) (sqrt -1/2)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 z y) (-.f64 z y)))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) y)) (sqrt.f64 #s(literal -1/2 binary64))))
(+ (* (sqrt (/ (- (pow z 2) (pow y 2)) y)) (sqrt -1/2)) (* (pow x 2) (+ (* -1/32 (* (/ (pow x 2) (pow (sqrt -1/2) 3)) (sqrt (/ 1 (* y (pow (- (pow z 2) (pow y 2)) 3)))))) (* 1/4 (* (sqrt (/ 1 (* y (- (pow z 2) (pow y 2))))) (/ 1 (sqrt -1/2)))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/32 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 z y) (-.f64 z y)))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/4 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) y)) (sqrt.f64 #s(literal -1/2 binary64))))
(+ (* (sqrt (/ (- (pow z 2) (pow y 2)) y)) (sqrt -1/2)) (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 (* y (- (pow z 2) (pow y 2))))) (/ 1 (sqrt -1/2)))) (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (* y (pow (- (pow z 2) (pow y 2)) 3)))) (/ 1 (pow (sqrt -1/2) 3)))) (* 1/128 (* (/ (pow x 2) (pow (sqrt -1/2) 5)) (sqrt (/ 1 (* y (pow (- (pow z 2) (pow y 2)) 5)))))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 5 binary64)))))) (*.f64 x x) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 z y) (-.f64 z y)))) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1/4 binary64))) (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) y)) (sqrt.f64 #s(literal -1/2 binary64))))
(* -2 (/ y (- (pow z 2) (pow y 2))))
(*.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 z y))) #s(literal -2 binary64))
(+ (* -2 (/ y (- (pow z 2) (pow y 2)))) (* -2 (/ (* (pow x 2) y) (pow (- (pow z 2) (pow y 2)) 2))))
(*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (/.f64 y (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 2 binary64))) (/.f64 y (*.f64 (+.f64 z y) (-.f64 z y)))))
(+ (* -2 (/ y (- (pow z 2) (pow y 2)))) (* (pow x 2) (+ (* -2 (/ y (pow (- (pow z 2) (pow y 2)) 2))) (* -2 (/ (* (pow x 2) y) (pow (- (pow z 2) (pow y 2)) 3))))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (/.f64 y (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 3 binary64))) (/.f64 y (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 2 binary64)))) (*.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 z y))) #s(literal -2 binary64)))
(+ (* -2 (/ y (- (pow z 2) (pow y 2)))) (* (pow x 2) (+ (* -2 (/ y (pow (- (pow z 2) (pow y 2)) 2))) (* (pow x 2) (+ (* -2 (/ y (pow (- (pow z 2) (pow y 2)) 3))) (* -2 (/ (* (pow x 2) y) (pow (- (pow z 2) (pow y 2)) 4))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (/.f64 y (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 4 binary64))) (/.f64 y (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 3 binary64)))) (*.f64 (/.f64 y (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 2 binary64))) #s(literal -2 binary64))) (*.f64 x x) (*.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 z y))) #s(literal -2 binary64)))
(- (pow z 2) (pow y 2))
(*.f64 (+.f64 z y) (-.f64 z y))
(- (+ (* -1 (pow x 2)) (pow z 2)) (pow y 2))
(-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(*.f64 (+.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (+.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(*.f64 (-.f64 (+.f64 (/.f64 (/.f64 z y) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 z y) x)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 (/.f64 z y) x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 z (*.f64 x x)) (/.f64 z y))) (/.f64 (/.f64 z y) x)) (*.f64 x x))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 z y) x)) x)
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 z z) y) (+.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ z x))))
(*.f64 (fma.f64 (/.f64 z x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
x
(* x (+ 1 (/ z x)))
(fma.f64 (/.f64 z x) x x)
(* -1 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) y))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1/2) 2) y)) (/ (* (pow (sqrt -1/2) 2) (- (pow z 2) (pow y 2))) (* (pow x 2) y))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) (sqrt.f64 #s(literal 1/2 binary64)))) x)
(* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (+ (* -1/32 (* (/ (pow (- (pow z 2) (pow y 2)) 2) (* (pow x 4) (pow (sqrt 1/2) 3))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))) x)
(* x (+ (* -1/4 (* (/ (- (pow z 2) (pow y 2)) (* (pow x 2) (sqrt 1/2))) (sqrt (/ 1 y)))) (+ (* -1/32 (* (/ (pow (- (pow z 2) (pow y 2)) 2) (* (pow x 4) (pow (sqrt 1/2) 3))) (sqrt (/ 1 y)))) (+ (* -1/128 (* (/ (pow (- (pow z 2) (pow y 2)) 3) (* (pow x 6) (pow (sqrt 1/2) 5))) (sqrt (/ 1 y)))) (* (sqrt (/ 1 y)) (sqrt 1/2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))) x)
(* 2 (/ y (pow x 2)))
(*.f64 (/.f64 y (*.f64 x x)) #s(literal 2 binary64))
(/ (+ (* 2 y) (* 2 (/ (* y (- (pow z 2) (pow y 2))) (pow x 2)))) (pow x 2))
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(/ (+ (* 2 y) (+ (* 2 (/ (* y (- (pow z 2) (pow y 2))) (pow x 2))) (* 2 (/ (* y (pow (- (pow z 2) (pow y 2)) 2)) (pow x 4))))) (pow x 2))
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(*.f64 (neg.f64 z) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) z)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1/2 binary64)))))
(* -1 (* z (+ (* -1/32 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 2) (* (pow z 4) (pow (sqrt -1/2) 3))))) (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2))))))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) z)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1/2 binary64))))))
(* -1 (* z (+ (* -1/32 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 2) (* (pow z 4) (pow (sqrt -1/2) 3))))) (+ (* 1/128 (* (sqrt (/ 1 y)) (/ (pow (+ (pow x 2) (pow y 2)) 3) (* (pow z 6) (pow (sqrt -1/2) 5))))) (+ (* 1/4 (* (sqrt (/ 1 y)) (/ (+ (pow x 2) (pow y 2)) (* (pow z 2) (sqrt -1/2))))) (* (sqrt (/ 1 y)) (sqrt -1/2)))))))
(*.f64 (neg.f64 z) (fma.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (/.f64 (fma.f64 y y (*.f64 x x)) z) z)) #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1/2 binary64)))))))

rewrite155.0ms (2.5%)

Memory
31.1MiB live, 186.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036237
055216
1226214
21913214
08354214
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 416
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(/.f64 (-.f64 x z) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(*.f64 (+.f64 z x) #s(literal 1/2 binary64))
(+.f64 z x)
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x))))
(*.f64 #s(literal -2 binary64) y)
(-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (-.f64 x z)) (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (+.f64 z x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (+.f64 z x)))
(fma.f64 (+.f64 z x) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (-.f64 x z) y) (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (-.f64 x z) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 z x))) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (+.f64 z x)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (+.f64 z x)) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 x z) y)) (+.f64 z x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))) (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 x z) y) y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 (+.f64 z x) (*.f64 (/.f64 (-.f64 x z) y) y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 3 binary64))))))
(fma.f64 (*.f64 z (-.f64 x z)) (pow.f64 y #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 x z) y) x y))
(fma.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (pow.f64 y #s(literal -1 binary64)) y)
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(fma.f64 (/.f64 (-.f64 x z) y) z (fma.f64 (/.f64 (-.f64 x z) y) x y))
(fma.f64 (-.f64 x z) (/.f64 (+.f64 z x) y) y)
(fma.f64 (-.f64 x z) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) y)
(fma.f64 (-.f64 x z) (*.f64 (pow.f64 y #s(literal -1 binary64)) z) (fma.f64 (/.f64 (-.f64 x z) y) x y))
(fma.f64 z (/.f64 (-.f64 x z) y) (fma.f64 (/.f64 (-.f64 x z) y) x y))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))) (/.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (-.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) (neg.f64 y))))
(+.f64 (+.f64 y (*.f64 (/.f64 (-.f64 x z) y) z)) (*.f64 (/.f64 (-.f64 x z) y) x))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) z) (fma.f64 (/.f64 (-.f64 x z) y) x y))
(+.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) y)
(+.f64 y (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)))
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 x z))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))
(*.f64 (neg.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(*.f64 (-.f64 x z) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 y (-.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (-.f64 x z)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 x y) (/.f64 z y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x z)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 z x) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 x y) (*.f64 y z))) (neg.f64 (*.f64 y y)))
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(*.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) #s(literal -3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) (fma.f64 z z (fma.f64 x x (*.f64 y y))))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 y (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) #s(literal -2 binary64))
(*.f64 (pow.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))
(*.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 y (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))
(*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (neg.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) #s(literal -1 binary64)))
(*.f64 y (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))
(*.f64 y (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64))))
(pow.f64 (/.f64 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))) (exp.f64 (log.f64 (neg.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))))
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) y))) (exp.f64 (log.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal -2 binary64) y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))))
(/.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 (neg.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))))))
(/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))))
(/.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))))
(/.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))) (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))))) (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))))))
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(*.f64 y #s(literal -2 binary64))
(neg.f64 (*.f64 #s(literal 2 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) y))
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) (-.f64 z y) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x x (*.f64 y y)))) (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (fma.f64 z z (fma.f64 x x (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (+.f64 z y) (-.f64 z y) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z z) (neg.f64 (fma.f64 x x (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (neg.f64 (fma.f64 x x (*.f64 y y))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64))) (-.f64 (*.f64 z z) (neg.f64 (fma.f64 x x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64))) (fma.f64 z z (fma.f64 x x (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (neg.f64 (fma.f64 x x (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z z (fma.f64 x x (*.f64 y y))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64))))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (neg.f64 (fma.f64 x x (*.f64 y y))))
(fma.f64 (+.f64 z y) (-.f64 z y) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 z) (neg.f64 z) (neg.f64 (fma.f64 x x (*.f64 y y))))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x (*.f64 y y)) (*.f64 z z))
(fma.f64 z z (neg.f64 (fma.f64 x x (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 2 binary64)) (fma.f64 (+.f64 z y) (-.f64 z y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 z y) (-.f64 z y) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 z z) (neg.f64 (fma.f64 x x (*.f64 y y))))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 z z) (neg.f64 (fma.f64 x x (*.f64 y y))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z (fma.f64 x x (*.f64 y y)))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 z z (fma.f64 x x (*.f64 y y)))))
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 z z (fma.f64 x x (*.f64 y y))) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 x x))
(-.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (*.f64 y y))
(-.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y)))
(+.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (neg.f64 x) x))
(+.f64 (neg.f64 (fma.f64 x x (*.f64 y y))) (*.f64 z z))
(+.f64 (*.f64 z z) (neg.f64 (fma.f64 x x (*.f64 y y))))

eval146.0ms (2.4%)

Memory
7.8MiB live, 165.3MiB allocated
Compiler

Compiled 37 897 to 3 015 computations (92% saved)

prune52.0ms (0.8%)

Memory
-33.1MiB live, 47.0MiB allocated
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New8774881
Fresh123
Picked325
Done000
Total8818889
Accuracy
100.0%
Counts
889 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z))))
▶68.5%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
▶68.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
✓31.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
▶33.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
✓37.3%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
▶31.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
▶32.6%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
Compiler

Compiled 374 to 252 computations (32.6% saved)

simplify193.0ms (3.1%)

Memory
19.4MiB live, 137.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
cost-diff0
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
cost-diff0
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)
cost-diff0
#s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
cost-diff64
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) x)
cost-diff0
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 z z)
cost-diff0
(/.f64 (*.f64 z z) y)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
cost-diff0
(/.f64 x y)
cost-diff0
(fma.f64 (/.f64 x y) x y)
cost-diff0
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042291
060287
1112287
2242287
3503287
41233287
52830287
65237277
08137272
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
#s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
#s(literal -1/2 binary64)
(/.f64 z y)
z
y
#s(literal 0 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(+.f64 z x)
x
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) x y)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) x y))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))))
#s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))
#s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
(*.f64 (/.f64 z y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 z y)
z
y
#s(literal 0 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y)
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(/.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(+.f64 z x)
x
#s(literal 1/2 binary64)

localize131.0ms (2.1%)

Memory
-8.1MiB live, 101.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 z)
accuracy0.0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
accuracy0.03125
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
accuracy29.05722851512592
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
accuracy0.0078125
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
accuracy0.08984375
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)
accuracy22.912376232432578
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
accuracy27.79299077191619
#s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))
accuracy0.0
(/.f64 x y)
accuracy0.00390625
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
accuracy0.14453125
(*.f64 (/.f64 x y) x)
accuracy42.86950479753462
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
accuracy0.0
(*.f64 z z)
accuracy0.0078125
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
accuracy4.46735955240649
(/.f64 (*.f64 z z) y)
accuracy43.12433358631081
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
accuracy0.0
(/.f64 x y)
accuracy0.0
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy0.0546875
(fma.f64 (/.f64 x y) x y)
accuracy20.126343619467942
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
Samples
94.0ms256×0valid
Compiler

Compiled 502 to 80 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 38.0ms (49.1% of total)
ival-div: 31.0ms (40% of total)
ival-add: 5.0ms (6.5% of total)
ival-sub: 2.0ms (2.6% of total)
ival-neg: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (0.7%)

Memory
-2.9MiB live, 44.3MiB allocated
Counts
20 → 79
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
(/.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
#s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(neg.f64 z)
Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
y
(+ y (/ (pow x 2) y))
(/ x y)
(* 1/2 (/ (pow x 2) y))
(/ (pow x 2) y)
(* -1/2 (/ (pow z 2) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (pow x 2) (pow y 2)) y)
(/ (pow z 2) y)
(* -1/2 (/ z y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (- x z) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(pow z 2)
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(* -1 z)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
Calls

9 calls:

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

simplify211.0ms (3.4%)

Memory
22.5MiB live, 182.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02541068
1822986
22909872
08544828
Stop Event
1×iter limit
1×node limit
Counts
79 → 78
Calls
Call 1
Inputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
y
(+ y (/ (pow x 2) y))
(/ x y)
(* 1/2 (/ (pow x 2) y))
(/ (pow x 2) y)
(* -1/2 (/ (pow z 2) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(/ (+ (pow x 2) (pow y 2)) y)
(/ (pow z 2) y)
(* -1/2 (/ z y))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (* (+ x z) (- x z)) y)
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/ (- x z) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(pow z 2)
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(* -1 z)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 y) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
y
(+ y (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x y)
(/ x y)
(/.f64 x y)
(* 1/2 (/ (pow x 2) y))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* -1/2 (/ (pow z 2) y))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (/.f64 (+.f64 z x) y))
(* 1/2 (+ y (* -1 (/ (pow z 2) y))))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (* x (+ (* -1 (/ z y)) (/ z y)))) (* 1/2 (+ y (* -1 (/ (pow z 2) y)))))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (+ y (* -1 (/ (pow z 2) y)))) (* x (+ (* 1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ x y)))))
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(+ y (* -1 (/ (pow z 2) y)))
(-.f64 y (/.f64 (*.f64 z z) y))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (/ z y)))))
(-.f64 y (/.f64 (*.f64 z z) y))
(+ y (+ (* -1 (/ (pow z 2) y)) (* x (+ (* -1 (/ z y)) (+ (/ x y) (/ z y))))))
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(*.f64 x (fma.f64 (/.f64 y (*.f64 x x)) x (/.f64 x y)))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* -1/2 (/ (pow z 2) (* (pow x 2) y))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) z) (/.f64 z y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(*.f64 x (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) x) x (/.f64 x y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 z y) x)) x)
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* 1/2 (/ (pow z 2) (* x y)))) x)) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 z (/.f64 (/.f64 z y) x)) #s(literal 1/2 binary64)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(*.f64 x (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) x) x (/.f64 x y)))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 z y) x)) x)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (/.f64 (+.f64 z x) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(*.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (pow x 2)) (* 1/2 (pow y 2))) y)
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))
(/ (+ (pow x 2) (pow y 2)) y)
(/.f64 (fma.f64 y y (*.f64 x x)) y)
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(* -1/2 (/ z y))
(*.f64 (/.f64 z y) #s(literal -1/2 binary64))
(* 1/2 (/ (* (+ x z) (- x z)) y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (/.f64 (+.f64 z x) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(*.f64 (/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y) #s(literal 1/2 binary64))
(/ (* (+ x z) (- x z)) y)
(*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y))
(/ (+ (* (+ x z) (- x z)) (pow y 2)) y)
(/.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(* y (+ 1/2 (* 1/2 (/ (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(* y (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 x y) x y)
(* y (+ 1/2 (* 1/2 (/ (* (+ x z) (- x z)) (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(* y (+ 1 (/ (* (+ x z) (- x z)) (pow y 2))))
(fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y)
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(*.f64 (fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (pow x 2) (pow y 2))) 1/2)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) (pow y 2))) 1)))
(fma.f64 (/.f64 x y) x y)
(* -1 (* y (- (* -1/2 (/ (* (+ x z) (- x z)) (pow y 2))) 1/2)))
(*.f64 (fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1 (/ (* (+ x z) (- x z)) (pow y 2))) 1)))
(fma.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 x z) y)) #s(literal 1 binary64) y)
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 y y (*.f64 x x)) y)))
(pow z 2)
(*.f64 z z)
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (/ (pow x 2) y)))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (pow x 2) y)) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x z)) (/.f64 (+.f64 z x) y))
(* 1/2 (+ y (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(*.f64 (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y) #s(literal 1/2 binary64))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(fma.f64 (/.f64 x y) x y)
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
(* -1 z)
(neg.f64 z)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(* (pow z 2) (- (+ (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ (pow x 2) (* y (pow z 2))))) (* 1/2 (/ 1 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (/.f64 x z) (/.f64 x z) #s(literal -1 binary64))) (*.f64 z z))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(* -1 (/ (pow z 2) y))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(*.f64 (-.f64 (fma.f64 (/.f64 x z) (/.f64 (/.f64 x y) z) (/.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) y)) (*.f64 z z))
(* z (- (/ x (* y z)) (/ 1 y)))
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z)
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (pow x 2) (* y z))) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 x (/.f64 (/.f64 x y) z)) #s(literal -1/2 binary64)) z)) (*.f64 z z))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (/.f64 (fma.f64 (/.f64 x y) x y) z) #s(literal -1/2 binary64)) z)) (*.f64 z z))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(*.f64 (neg.f64 z) (/.f64 z y))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 x y) x y)) z) z)) z) z)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z)

rewrite288.0ms (4.6%)

Memory
-7.7MiB live, 106.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042261
060257
1225257
21773257
08144252
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 748
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
(/.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
#s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(neg.f64 z)
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) x y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x y) x y))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (/.f64 x y) x (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) x (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) x) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (/.f64 x y) x (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 (/.f64 x y) x (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 y))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 y))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 (/.f64 x y) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 x y) x (neg.f64 y))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 x y) x (neg.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (/.f64 x y) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 y))) (*.f64 (fma.f64 (/.f64 x y) x (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 (/.f64 x y) x (neg.f64 y)) (fma.f64 (/.f64 x y) x (neg.f64 y))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 x y) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (/.f64 x y) x (neg.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) x) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (/.f64 x y) x (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) x (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) x) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) y)
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x y) y)
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))) y)
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) y)
(fma.f64 (/.f64 x y) x y)
(fma.f64 (*.f64 x x) (pow.f64 y #s(literal -1 binary64)) y)
(fma.f64 x (/.f64 x y) y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (/.f64 x y) x))) (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (-.f64 y (*.f64 (/.f64 x y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 x y) x (neg.f64 y))))
(+.f64 (*.f64 (/.f64 x y) x) y)
(+.f64 y (*.f64 (/.f64 x y) x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) z)) (/.f64 z (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 z (pow.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) z) (/.f64 z (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/2 binary64))))
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(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 1/2 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x) #s(literal 3 binary64))) (fma.f64 (+.f64 y (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) z)) (+.f64 y (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) z)) (-.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x) #s(literal 2 binary64)) (*.f64 (+.f64 y (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) z)) (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x y) (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x y)) (*.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) z) (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y)) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64))) (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (*.f64 (+.f64 z x) y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (*.f64 (+.f64 z x) y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)))) (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64))))
(fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) y)
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y)
(fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) z (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x y))
(fma.f64 z #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x y))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))))) (/.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (-.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) #s(literal 2 binary64)) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (neg.f64 y))))
(+.f64 (+.f64 y (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) z)) (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x))
(+.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) z) (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) x y))
(+.f64 (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))) y)
(+.f64 y (*.f64 (+.f64 z x) #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))))
#s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (+.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z))
(neg.f64 z)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 0 binary64) z)))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))

eval137.0ms (2.2%)

Memory
0.6MiB live, 114.8MiB allocated
Compiler

Compiled 27 512 to 2 718 computations (90.1% saved)

prune177.0ms (2.9%)

Memory
-116.9MiB live, 48.4MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New6793682
Fresh101
Picked145
Done022
Total6819690
Accuracy
100.0%
Counts
690 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.5%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓68.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
✓31.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
▶32.6%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
▶33.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
✓33.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
✓37.3%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓31.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
▶32.6%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
Compiler

Compiled 214 to 147 computations (31.3% saved)

simplify177.0ms (2.9%)

Memory
19.5MiB live, 99.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
025121
034121
162121
2121121
3213121
4376121
5738121
61675115
73800115
08354112
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
(*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))
#s(literal -1/2 binary64)
(/.f64 z (/.f64 y z))
z
(/.f64 y z)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64))
(/.f64 x (/.f64 y x))
x
(/.f64 y x)
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z))
(/.f64 z y)
z
y
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
(*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))
(*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)
#s(literal -1/2 binary64)
(/.f64 z (/.f64 y z))
(/.f64 (*.f64 z z) y)
z
(/.f64 y z)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)
(/.f64 x (/.f64 y x))
(/.f64 (*.f64 x x) y)
x
(/.f64 y x)
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)
(/.f64 z y)
z
y
(*.f64 #s(literal -1/2 binary64) z)
#s(literal -1/2 binary64)

localize89.0ms (1.4%)

Memory
-29.8MiB live, 94.7MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 z y)
accuracy0.0
(*.f64 #s(literal -1/2 binary64) z)
accuracy0.08984375
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z))
accuracy43.12433358631081
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
accuracy0.0
(/.f64 y x)
accuracy0.00390625
(*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64))
accuracy0.13671875
(/.f64 x (/.f64 y x))
accuracy42.86950479753462
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
accuracy0.0
(/.f64 y z)
accuracy0.0078125
(*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))
accuracy0.109375
(/.f64 z (/.f64 y z))
accuracy43.12433358631081
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
Samples
42.0ms256×0valid
Compiler

Compiled 220 to 49 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 19.0ms (61.9% of total)
ival-div: 9.0ms (29.3% of total)
ival-sub: 1.0ms (3.3% of total)
ival-add: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory
-2.5MiB live, 34.9MiB allocated
Counts
12 → 19
Calls
Call 1
Inputs
(/.f64 z (/.f64 y z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
(*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))
(/.f64 y z)
(/.f64 x (/.f64 y x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64))
(/.f64 y x)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z))
(/.f64 z y)
(*.f64 #s(literal -1/2 binary64) z)
Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(/ (pow x 2) y)
(* 1/2 (/ (pow x 2) y))
(/ y x)
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(/ (pow z 2) y)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* -1/2 (/ (pow z 2) y))
(/ y z)
(/ z y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1/2 z)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
z
@inf
((/ z (/ y z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ z (/ y z))) (/ y z) (/ x (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ x (/ y x)) 1/2) (/ y x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ z y) (* -1/2 z)) (/ z y) (* -1/2 z))
3.0ms
y
@-inf
((/ z (/ y z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ z (/ y z))) (/ y z) (/ x (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ x (/ y x)) 1/2) (/ y x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ z y) (* -1/2 z)) (/ z y) (* -1/2 z))
2.0ms
y
@inf
((/ z (/ y z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ z (/ y z))) (/ y z) (/ x (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ x (/ y x)) 1/2) (/ y x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ z y) (* -1/2 z)) (/ z y) (* -1/2 z))
2.0ms
y
@0
((/ z (/ y z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ z (/ y z))) (/ y z) (/ x (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ x (/ y x)) 1/2) (/ y x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ z y) (* -1/2 z)) (/ z y) (* -1/2 z))
2.0ms
z
@-inf
((/ z (/ y z)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* -1/2 (/ z (/ y z))) (/ y z) (/ x (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ x (/ y x)) 1/2) (/ y x) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ z y) (* -1/2 z)) (/ z y) (* -1/2 z))

simplify132.0ms (2.1%)

Memory
11.9MiB live, 132.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055195
1146195
2385183
31124169
44533167
08230158
Stop Event
1×iter limit
1×node limit
Counts
19 → 19
Calls
Call 1
Inputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(/ (pow x 2) y)
(* 1/2 (/ (pow x 2) y))
(/ y x)
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(/ (pow z 2) y)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* -1/2 (/ (pow z 2) y))
(/ y z)
(/ z y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1/2 z)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
Outputs
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 x z) y) #s(literal 1/2 binary64))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* 1/2 (/ (pow x 2) y))
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/ y x)
(/.f64 y x)
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 x z) y) #s(literal 1/2 binary64))
(/ (pow z 2) y)
(/.f64 (*.f64 z z) y)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(*.f64 (*.f64 (+.f64 x z) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 x z) y) #s(literal 1/2 binary64))
(* -1/2 (/ (pow z 2) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
(/ y z)
(/.f64 y z)
(/ z y)
(/.f64 z y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 x z) y) #s(literal 1/2 binary64))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 x z) y) #s(literal 1/2 binary64))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) y) #s(literal 1/2 binary64))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 x z) y) #s(literal 1/2 binary64))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) z) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

rewrite167.0ms (2.7%)

Memory
9.4MiB live, 117.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025112
034112
1123112
2863112
08401109
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 369
Calls
Call 1
Inputs
(/.f64 z (/.f64 y z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
(*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))
(/.f64 y z)
(/.f64 x (/.f64 y x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64))
(/.f64 y x)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
(*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z))
(/.f64 z y)
(*.f64 #s(literal -1/2 binary64) z)
Outputs
(*.f64 (*.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64)) z)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 (neg.f64 z) y))
(*.f64 (pow.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 z) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 z z))
(*.f64 (/.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 (neg.f64 z) y) (neg.f64 z))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (/.f64 (neg.f64 z) y)))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 z z))
(*.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y z)))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 z y) z)
(*.f64 (*.f64 z z) (pow.f64 y #s(literal -1 binary64)))
(*.f64 z (/.f64 z y))
(pow.f64 (/.f64 (/.f64 y z) z) #s(literal -1 binary64))
(/.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(/.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) z) z))
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) z))
(/.f64 (neg.f64 z) (/.f64 (neg.f64 y) z))
(/.f64 (/.f64 z y) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 z z) y)
(/.f64 z (/.f64 y z))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) z)))
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) y))
(neg.f64 (/.f64 (/.f64 (neg.f64 z) y) (pow.f64 z #s(literal -1 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 (neg.f64 z) y))))
(neg.f64 (*.f64 (/.f64 (neg.f64 z) y) z))
(neg.f64 (/.f64 (*.f64 z z) (neg.f64 y)))
(neg.f64 (*.f64 z (/.f64 (neg.f64 z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) (*.f64 z (/.f64 (neg.f64 z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 z z) (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 (neg.f64 z) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y z) z)) #s(literal -1 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z y)) #s(literal -1 binary64)) z)
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) z) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z z)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 z) y)) (neg.f64 z))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) z) (pow.f64 z #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 z y)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) (/.f64 z y))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z y)) (neg.f64 z))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 (neg.f64 z) y) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 z z))
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 z (/.f64 y z))))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) z) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (neg.f64 z) (pow.f64 z #s(literal -1 binary64))))
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(*.f64 z (*.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 y z) z)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)) y)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) (/.f64 y z))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z y)) (/.f64 #s(literal -1 binary64) z))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) z))
(/.f64 (*.f64 z (/.f64 (neg.f64 z) y)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 (neg.f64 y) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 y z) z))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) z) y)
(/.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 z y) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 y z) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 y z) z)))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z))
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (neg.f64 y) z) z))
(/.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y z) z))
(/.f64 (*.f64 z z) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 z (/.f64 y z)) #s(literal -2 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (neg.f64 y) z)))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) z) (neg.f64 y)))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z y)) z))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 (neg.f64 z) y)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z (/.f64 (neg.f64 z) y))))
(neg.f64 (*.f64 (/.f64 (neg.f64 z) y) (*.f64 #s(literal -1/2 binary64) z)))
(neg.f64 (*.f64 (*.f64 z (/.f64 (neg.f64 z) y)) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 z (/.f64 y z))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 z (/.f64 y z))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) z)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) z)
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 z (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal 1 binary64))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 (/.f64 z y) #s(literal 1 binary64))
(/.f64 z y)
(neg.f64 (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) z))
(*.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) z)
(*.f64 z #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64)))

eval72.0ms (1.2%)

Memory
-1.6MiB live, 49.4MiB allocated
Compiler

Compiled 7 921 to 1 029 computations (87% saved)

prune25.0ms (0.4%)

Memory
-16.7MiB live, 22.5MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New3080308
Fresh000
Picked033
Done066
Total3089317
Accuracy
100.0%
Counts
317 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.5%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
✓68.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
✓31.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
✓32.6%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
✓33.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
✓33.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
✓37.3%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
✓31.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
✓32.6%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
Compiler

Compiled 624 to 239 computations (61.7% saved)

regimes29.0ms (0.5%)

Memory
31.8MiB live, 31.8MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 y (-.f64 x z))))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 #s(literal 2 binary64) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 z z) (fma.f64 y y (*.f64 x x)))) #s(literal -1/2 binary64)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
Calls

6 calls:

5.0ms
y
5.0ms
x
5.0ms
z
4.0ms
(*.f64 z z)
4.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
100.0%1(*.f64 x x)
100.0%1(*.f64 z z)
Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes40.0ms (0.6%)

Memory
-3.6MiB live, 35.3MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
Calls

6 calls:

21.0ms
(*.f64 z z)
4.0ms
y
4.0ms
x
4.0ms
z
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
91.4%4x
90.9%2y
92.6%3z
98.4%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
91.0%4(*.f64 x x)
92.6%3(*.f64 z z)
Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes4.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 x (/.f64 y x)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
Calls

1 calls:

3.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
97.2%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes31.0ms (0.5%)

Memory
-31.8MiB live, 4.7MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
Calls

1 calls:

30.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
94.9%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes3.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
Calls

1 calls:

2.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
94.9%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes14.0ms (0.2%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
6 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) #s(approx (* (* (+ z x) 1/2) (/ (- x z) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 z y) #s(literal 0 binary64)) z)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z)))
Calls

6 calls:

2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(*.f64 z z)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
57.8%3(*.f64 x x)
59.4%4x
61.1%3y
62.9%3z
62.9%3(*.f64 z z)
69.7%4(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
Calls

1 calls:

2.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
68.9%4(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes2.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
Calls

1 calls:

1.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
65.0%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes47.0ms (0.8%)

Memory
-14.5MiB live, 30.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

41.0ms
x
1.0ms
z
1.0ms
y
1.0ms
(*.f64 z z)
1.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
37.3%1(*.f64 x x)
37.3%1x
37.3%1y
37.3%1z
37.3%1(*.f64 z z)
37.3%1(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 24 to 28 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-1.7498357675267168e-98
3.5994910668047194e-146
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-1.7498357675267168e-98
3.5994910668047194e-146
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.7498357675267168e-98
3.5994910668047194e-146
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.7498357675267168e-98
3.5994910668047194e-146
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.9191479676864897e+145
3.346159843846713e+145
0.0ms
-1.7498357675267168e-98
3.5994910668047194e-146
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.9191479676864897e+145
3.346159843846713e+145
0.0ms
-1.7498357675267168e-98
3.5994910668047194e-146
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-1.7498357675267168e-98
3.5994910668047194e-146
Compiler

Compiled 18 to 17 computations (5.6% saved)

simplify143.0ms (2.3%)

Memory
-4.6MiB live, 67.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
077766
1108766
2155766
3236766
4427766
5879766
62133722
77624722
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 19999999999999999781741223642818392253569612520802717890360030929450604798220516297708225612915260122593317856641907797168065523046908674225209344 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 19999999999999999781741223642818392253569612520802717890360030929450604798220516297708225612915260122593317856641907797168065523046908674225209344 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 z (/.f64 y z)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 19999999999999999781741223642818392253569612520802717890360030929450604798220516297708225612915260122593317856641907797168065523046908674225209344 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 z y) (*.f64 #s(literal -1/2 binary64) z))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 19999999999999999781741223642818392253569612520802717890360030929450604798220516297708225612915260122593317856641907797168065523046908674225209344 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))))
(if (or (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -6156563468186637/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544 binary64)) (not (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

soundness922.0ms (14.9%)

Memory
10.0MiB live, 641.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071283
1196283
2571257
32180253
46033249
08326231
036237
055216
1226214
21913214
08354214
042261
060257
1225257
21773257
08144252
07364095
122263789
279923787
080023596
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 1 013 to 298 computations (70.6% saved)

preprocess144.0ms (2.3%)

Memory
-9.5MiB live, 150.8MiB allocated
Remove

(negabs y)

(abs x)

(abs z)

Compiler

Compiled 1 760 to 310 computations (82.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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