Graphics.Rasterific.Svg.PathConverter:arcToSegments from rasterific-svg-0.2.3.1

Time bar (total: 9.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze195.0ms (2%)

Memory
-6.7MiB live, 234.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
25%25%74.9%0.2%0%0%0%5
25%25%74.9%0.2%0%0%0%6
37.5%37.4%62.4%0.2%0%0%0%7
37.5%37.4%62.4%0.2%0%0%0%8
56.3%56.1%43.7%0.2%0%0%0%9
56.3%56.1%43.7%0.2%0%0%0%10
65.6%65.5%34.3%0.2%0%0%0%11
65.6%65.5%34.3%0.2%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (10.9%)

Memory
41.2MiB live, 1 262.1MiB allocated
Samples
652.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 407.0ms
ival-mult: 250.0ms (61.5% of total)
ival-div: 96.0ms (23.6% of total)
ival-add: 51.0ms (12.5% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain439.0ms (4.5%)

Memory
-4.9MiB live, 206.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
720-1(-9.902461083159305e+146 312503858438.5752 5.686965281791385e-161 -5.798662997914792e-159)(/.f64 (*.f64 z z) (*.f64 t t))
580-1(-4.477514157193476e-152 -4.779836815653523e-159 3.247770132691399e+22 1.4962600321699136e-14)(/.f64 (*.f64 x x) (*.f64 y y))
00-0-t
01(5.5915673848414845e+231 1.6548938462299625e-266 1.8951043520491e-264 6.041480018480704e-309)0-(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
00-0-z
00-0-(*.f64 x x)
00-0-(*.f64 t t)
00-0-(*.f64 z z)
00-0-y
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 z z) (*.f64 t t))o/o150
(*.f64 z z)overflow71
(*.f64 t t)overflow64
/.f64(/.f64 (*.f64 z z) (*.f64 t t))n/u130
(*.f64 t t)underflow56
/.f64(/.f64 (*.f64 x x) (*.f64 y y))o/n130
(*.f64 x x)overflow59
/.f64(/.f64 (*.f64 z z) (*.f64 t t))o/n120
(*.f64 z z)overflow71
/.f64(/.f64 (*.f64 x x) (*.f64 y y))u/u110
(*.f64 x x)underflow50
(*.f64 y y)underflow68
/.f64(/.f64 (*.f64 x x) (*.f64 y y))n/u80
(*.f64 y y)underflow68
/.f64(/.f64 (*.f64 z z) (*.f64 t t))u/u70
(*.f64 z z)underflow52
(*.f64 t t)underflow56
/.f64(/.f64 (*.f64 x x) (*.f64 y y))n/o60
(*.f64 y y)overflow61
/.f64(/.f64 (*.f64 x x) (*.f64 y y))o/o60
(*.f64 x x)overflow59
(*.f64 y y)overflow61
/.f64(/.f64 (*.f64 z z) (*.f64 t t))n/o50
(*.f64 t t)overflow64
/.f64(/.f64 (*.f64 z z) (*.f64 t t))u/n50
(*.f64 z z)underflow52
/.f64(/.f64 (*.f64 x x) (*.f64 y y))u/n20
(*.f64 x x)underflow50
+.f64(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))oflow-left10
Confusion
Predicted +Predicted -
+711
-30154
Precision
0.7029702970297029
Recall
0.9861111111111112
Confusion?
Predicted +Predicted MaybePredicted -
+7101
-300154
Precision?
0.7029702970297029
Recall?
0.9861111111111112
Freqs
test
numberfreq
0155
198
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
96.0ms512×0valid
Compiler

Compiled 199 to 59 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 13.0ms (60.1% of total)
ival-div: 6.0ms (27.8% of total)
ival-add: 2.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess271.0ms (2.8%)

Memory
-17.4MiB live, 22.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044214
1175214
2626214
32107214
43907214
54792214
64924214
74984214
85060214
95119214
105791214
116095214
126095214
136095214
146463214
156639214
166799214
176863214
186863214
01115
01815
13115
24315
34315
04314
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Outputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
Symmetry

(abs t)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01845
13145
24345
34345
04344
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
Outputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x y) y) x)
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 z z)
z
(*.f64 t t)
t

localize79.0ms (0.8%)

Memory
-0.0MiB live, 38.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0
(*.f64 t t)
accuracy13.422490457121
(/.f64 (*.f64 x x) (*.f64 y y))
accuracy16.94646148490062
(/.f64 (*.f64 z z) (*.f64 t t))
Samples
72.0ms256×0valid
Compiler

Compiled 92 to 24 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 55.0ms (87.8% of total)
ival-mult: 6.0ms (9.6% of total)
ival-add: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
-13.8MiB live, 25.3MiB allocated
Counts
7 → 11
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(*.f64 x x)
(*.f64 y y)
(*.f64 z z)
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 t t)
Outputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow x 2)
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(pow y 2)
(pow z 2)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
Calls

12 calls:

TimeVariablePointExpression
15.0ms
t
@inf
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
2.0ms
x
@inf
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
2.0ms
z
@0
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
2.0ms
x
@0
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))
1.0ms
z
@inf
((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t))

simplify139.0ms (1.4%)

Memory
34.3MiB live, 114.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029109
160109
2192109
3825109
42854109
53969109
66263109
77757109
08061104
Stop Event
iter limit
node limit
Counts
11 → 11
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(pow x 2)
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(pow y 2)
(pow z 2)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(pow x 2)
(*.f64 x x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) t) z) (/.f64 z t) (*.f64 x x)) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(pow t 2)
(*.f64 t t)

rewrite264.0ms (2.7%)

Memory
-11.3MiB live, 144.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01141
01841
16933
281333
0837733
Stop Event
iter limit
node limit
iter limit
Counts
7 → 418
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(*.f64 x x)
(*.f64 y y)
(*.f64 z z)
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 t t)
Outputs
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 z t))) (+.f64 (/.f64 x y) (/.f64 z t)))
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -2 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 t y)))
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (neg.f64 y)) y)))
(*.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y y))))
(*.f64 (+.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (neg.f64 y))))
(*.f64 (fma.f64 y y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) y)))
(*.f64 (fma.f64 (neg.f64 z) (*.f64 z y) (/.f64 (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 t y))))
(*.f64 (fma.f64 (neg.f64 z) (*.f64 z (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (neg.f64 t) t)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (*.f64 z z) y (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) y)))
(*.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) t (*.f64 y (*.f64 z (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 y t)))
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) (neg.f64 t) (*.f64 (*.f64 y (neg.f64 z)) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 t)) t)))
(*.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y t) t)))
(*.f64 (+.f64 t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (/.f64 z t))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t)))
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (neg.f64 t) t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (neg.f64 t))))
(*.f64 (fma.f64 t t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) t)))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x t) (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) t)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y t))))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) t)))
(*.f64 (fma.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)))
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eval59.0ms (0.6%)

Memory
6.5MiB live, 80.6MiB allocated
Compiler

Compiled 8 601 to 1 111 computations (87.1% saved)

prune69.0ms (0.7%)

Memory
-23.7MiB live, 30.3MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New41116427
Fresh000
Picked011
Done000
Total41117428
Accuracy
100.0%
Counts
428 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
97.5%
(fma.f64 z (*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
70.2%
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
62.9%
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (*.f64 t (*.f64 y y)))
83.8%
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y))
63.4%
(/.f64 (+.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y))) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y))
68.4%
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x)))) (*.f64 (*.f64 t (neg.f64 y)) y))
82.0%
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
84.7%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
82.2%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
72.7%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
84.6%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
82.2%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))))
78.5%
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
81.9%
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
94.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
Compiler

Compiled 613 to 421 computations (31.3% saved)

simplify146.0ms (1.5%)

Memory
18.6MiB live, 130.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z t)
cost-diff0
(*.f64 z (/.f64 z t))
cost-diff0
(*.f64 (*.f64 z (/.f64 z t)) y)
cost-diff128
(fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))
cost-diff0
(/.f64 (*.f64 (/.f64 z t) z) t)
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
cost-diff0
(/.f64 z t)
cost-diff0
(/.f64 (/.f64 z t) t)
cost-diff0
(*.f64 (/.f64 (/.f64 z t) t) z)
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
cost-diff0
(/.f64 x y)
cost-diff0
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
cost-diff0
(/.f64 z t)
cost-diff0
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041257
069227
1123227
2269227
3718227
42381227
56292227
08363226
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 z t)
z
t
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 (/.f64 z t) t)
(/.f64 z t)
z
t
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(*.f64 (neg.f64 z) (/.f64 z t))
(neg.f64 z)
z
(/.f64 z t)
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
(fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x))
(*.f64 (*.f64 z (/.f64 z t)) y)
(*.f64 z (/.f64 z t))
z
(/.f64 z t)
t
y
(neg.f64 y)
(*.f64 (*.f64 t (neg.f64 x)) x)
(*.f64 t (neg.f64 x))
(neg.f64 x)
x
(*.f64 (*.f64 t (neg.f64 y)) y)
(*.f64 t (neg.f64 y))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 z t)
z
t
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 (/.f64 z t) t)
(/.f64 z t)
z
t
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(*.f64 x x)
x
(*.f64 y y)
y
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (*.f64 x x) (*.f64 y y))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(*.f64 (neg.f64 z) (/.f64 z t))
(*.f64 (/.f64 (neg.f64 z) t) z)
(neg.f64 z)
z
(/.f64 z t)
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x))
(neg.f64 (fma.f64 (*.f64 (*.f64 y (/.f64 z t)) y) z (*.f64 (*.f64 x t) x)))
(*.f64 (*.f64 z (/.f64 z t)) y)
(*.f64 (*.f64 (/.f64 z t) z) y)
(*.f64 z (/.f64 z t))
(*.f64 (/.f64 z t) z)
z
(/.f64 z t)
t
y
(neg.f64 y)
(*.f64 (*.f64 t (neg.f64 x)) x)
(*.f64 (*.f64 (neg.f64 x) t) x)
(*.f64 t (neg.f64 x))
(*.f64 (neg.f64 x) t)
(neg.f64 x)
x
(*.f64 (*.f64 t (neg.f64 y)) y)
(*.f64 (*.f64 (neg.f64 y) t) y)
(*.f64 t (neg.f64 y))
(*.f64 (neg.f64 y) t)

localize409.0ms (4.2%)

Memory
-9.4MiB live, 151.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 (*.f64 t (neg.f64 y)) y)
accuracy2.153563690849197
(fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x))
accuracy6.647161132414972
(*.f64 (*.f64 z (/.f64 z t)) y)
accuracy17.380924646123024
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
accuracy0
(neg.f64 z)
accuracy0.08984375
(*.f64 (neg.f64 z) (/.f64 z t))
accuracy5.530747648753859
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))
accuracy13.422490457121
(/.f64 (*.f64 x x) (*.f64 y y))
accuracy0
(*.f64 x x)
accuracy0.08984375
(*.f64 (/.f64 z t) z)
accuracy5.495591398753859
(/.f64 (*.f64 (/.f64 z t) z) t)
accuracy13.422490457121
(/.f64 (*.f64 x x) (*.f64 y y))
accuracy0
(/.f64 z t)
accuracy0.140625
(/.f64 (/.f64 z t) t)
accuracy4.204891781814115
(*.f64 (/.f64 (/.f64 z t) t) z)
accuracy27.356046409270434
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
accuracy0
(/.f64 z t)
accuracy0
(/.f64 x y)
accuracy0.1015625
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
accuracy0.22884750976844204
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
Samples
295.0ms256×0valid
Compiler

Compiled 511 to 82 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 54.0ms (69.7% of total)
ival-div: 12.0ms (15.5% of total)
ival-add: 5.0ms (6.5% of total)
ival-pow2: 3.0ms (3.9% of total)
ival-neg: 3.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series68.0ms (0.7%)

Memory
16.9MiB live, 58.9MiB allocated
Counts
22 → 26
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 z t)
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 (/.f64 z t) t)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(*.f64 x x)
(*.f64 y y)
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))))
(fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x))
(*.f64 (*.f64 z (/.f64 z t)) y)
(*.f64 z (/.f64 z t))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 z t) z)
(*.f64 (neg.f64 z) (/.f64 z t))
(neg.f64 z)
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
(*.f64 (*.f64 t (neg.f64 y)) y)
Outputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ x y)
(pow x 2)
(* -1 (/ (* (pow y 2) (pow z 2)) t))
(+ (* -1 (* t (pow x 2))) (* -1 (/ (* (pow y 2) (pow z 2)) t)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* -1 (* t (pow x 2)))
(* (pow x 2) (+ (* -1 t) (* -1 (/ (* (pow y 2) (pow z 2)) (* t (pow x 2))))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(pow y 2)
(/ (* y (pow z 2)) t)
(* -1 (* t (pow y 2)))
(* (pow y 2) (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t))))
(/ z t)
(/ z (pow t 2))
(/ (pow z 2) t)
(* -1 (/ (pow z 2) t))
(* -1 z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (* -1 (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (pow y 2) t))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (* -1 (* (pow t 2) (pow x 2))) (* -1 (* (pow y 2) (pow z 2)))) t)
(* t (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow t 2))) (* -1 (pow x 2))))
(* -1 (* t (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2))))
Calls

12 calls:

TimeVariablePointExpression
26.0ms
y
@-inf
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (* t (neg y)) y))
7.0ms
z
@inf
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (* t (neg y)) y))
4.0ms
t
@inf
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (* t (neg y)) y))
4.0ms
x
@inf
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (* t (neg y)) y))
4.0ms
t
@0
((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ (* (/ z t) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (* t (neg y)) y))

simplify150.0ms (1.5%)

Memory
12.2MiB live, 126.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070277
1210270
2709270
33723270
45500270
08310258
Stop Event
iter limit
node limit
Counts
26 → 26
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ x y)
(pow x 2)
(* -1 (/ (* (pow y 2) (pow z 2)) t))
(+ (* -1 (* t (pow x 2))) (* -1 (/ (* (pow y 2) (pow z 2)) t)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(* -1 (* t (pow x 2)))
(* (pow x 2) (+ (* -1 t) (* -1 (/ (* (pow y 2) (pow z 2)) (* t (pow x 2))))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(pow y 2)
(/ (* y (pow z 2)) t)
(* -1 (* t (pow y 2)))
(* (pow y 2) (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t))))
(/ z t)
(/ z (pow t 2))
(/ (pow z 2) t)
(* -1 (/ (pow z 2) t))
(* -1 z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(* (pow z 2) (+ (* -1 (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (pow y 2) t))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/ (+ (* -1 (* (pow t 2) (pow x 2))) (* -1 (* (pow y 2) (pow z 2)))) t)
(* t (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow t 2))) (* -1 (pow x 2))))
(* -1 (* t (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2))))
Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ x y)
(/.f64 x y)
(pow x 2)
(*.f64 x x)
(* -1 (/ (* (pow y 2) (pow z 2)) t))
(*.f64 (*.f64 (/.f64 (*.f64 y y) t) z) (neg.f64 z))
(+ (* -1 (* t (pow x 2))) (* -1 (/ (* (pow y 2) (pow z 2)) t)))
(neg.f64 (fma.f64 (*.f64 z (/.f64 (*.f64 y y) t)) z (*.f64 (*.f64 x t) x)))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* -1 (* t (pow x 2)))
(*.f64 (*.f64 (neg.f64 x) t) x)
(* (pow x 2) (+ (* -1 t) (* -1 (/ (* (pow y 2) (pow z 2)) (* t (pow x 2))))))
(neg.f64 (fma.f64 (*.f64 z (/.f64 (*.f64 y y) t)) z (*.f64 (*.f64 x t) x)))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (*.f64 (/.f64 y t) z) (*.f64 (/.f64 y t) z) (*.f64 x x)) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(/ (* y (pow z 2)) t)
(/.f64 (*.f64 (*.f64 z z) y) t)
(* -1 (* t (pow y 2)))
(*.f64 (*.f64 y t) (neg.f64 y))
(* (pow y 2) (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t))))
(neg.f64 (fma.f64 (*.f64 z (/.f64 (*.f64 y y) t)) z (*.f64 (*.f64 x t) x)))
(/ z t)
(/.f64 z t)
(/ z (pow t 2))
(/.f64 (/.f64 z t) t)
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(* -1 (/ (pow z 2) t))
(*.f64 (/.f64 (neg.f64 z) t) z)
(* -1 z)
(neg.f64 z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(* (pow z 2) (+ (* -1 (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (pow y 2) t))))
(neg.f64 (fma.f64 (*.f64 z (/.f64 (*.f64 y y) t)) z (*.f64 (*.f64 x t) x)))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))
(/ (+ (* -1 (* (pow t 2) (pow x 2))) (* -1 (* (pow y 2) (pow z 2)))) t)
(/.f64 (fma.f64 (*.f64 (*.f64 x t) t) x (*.f64 (*.f64 (*.f64 y z) y) z)) (neg.f64 t))
(* t (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow t 2))) (* -1 (pow x 2))))
(neg.f64 (fma.f64 (*.f64 z (/.f64 (*.f64 y y) t)) z (*.f64 (*.f64 x t) x)))
(* -1 (* t (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2))))
(neg.f64 (fma.f64 (*.f64 z (/.f64 (*.f64 y y) t)) z (*.f64 (*.f64 x t) x)))

rewrite371.0ms (3.8%)

Memory
-8.9MiB live, 270.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041191
069150
1252148
22335148
08547148
Stop Event
iter limit
node limit
iter limit
Counts
22 → 2 092
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 z t)
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 (/.f64 z t) t)
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(*.f64 x x)
(*.f64 y y)
(/.f64 (*.f64 (/.f64 z t) z) t)
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))))
(fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x))
(*.f64 (*.f64 z (/.f64 z t)) y)
(*.f64 z (/.f64 z t))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 z t) z)
(*.f64 (neg.f64 z) (/.f64 z t))
(neg.f64 z)
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
(*.f64 (*.f64 t (neg.f64 y)) y)
Outputs
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 z t))) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (-.f64 (/.f64 x y) (/.f64 z t))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 z t) (/.f64 x y))) (/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 z t) (/.f64 x y))))
(*.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 y) t) y)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64))) (*.f64 y t)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64))) (*.f64 (neg.f64 y) y)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64)) t))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 y t)) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (neg.f64 y) y)) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64)) t))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64))) (*.f64 (neg.f64 y) t)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (neg.f64 y) t)) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64))) y) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) t)))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) y) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 y) t)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64))) (neg.f64 y)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64)) (*.f64 y t)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64))) t) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 y)) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 y t)))
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) t) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) t)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (neg.f64 (*.f64 (neg.f64 y) t))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 y) y)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) t) y) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) t) y) (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 y t)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) y) (pow.f64 (*.f64 (neg.f64 y) t) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) t) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 y t)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 y) t) #s(literal -1 binary64)) (pow.f64 (/.f64 y (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 y) t) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) y))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 y) t)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 y) t)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 y #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 y) y)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t))) (pow.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x t) #s(literal 2 binary64))) (pow.f64 (*.f64 y t) #s(literal -2 binary64)))
(*.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (pow.f64 (*.f64 (*.f64 y y) t) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (neg.f64 (*.f64 (neg.f64 y) y))))
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x))))
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(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 x) y) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (/.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (*.f64 x (/.f64 x y)) (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x x) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 z (pow.f64 z #s(literal -1 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 z z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (/.f64 z t) (pow.f64 z #s(literal -1 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 z t) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 z) t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (neg.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (/.f64 (neg.f64 z) t) (/.f64 (/.f64 z t) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 (neg.f64 z) t) (/.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 z #s(literal -1 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (/.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (/.f64 #s(literal -1 binary64) t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (neg.f64 z) (*.f64 (/.f64 z t) (/.f64 #s(literal -1 binary64) t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (neg.f64 z) (/.f64 (/.f64 (neg.f64 z) t) t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) (pow.f64 z #s(literal -1 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (/.f64 (neg.f64 z) t) (pow.f64 z #s(literal -1 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 z) t) z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) t) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 z t) z) (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (/.f64 (/.f64 z t) t) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 (/.f64 z t) t) (/.f64 (neg.f64 z) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (*.f64 z z) (pow.f64 t #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 x (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 x (*.f64 x (pow.f64 y #s(literal -2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(fma.f64 (/.f64 z t) (/.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 z t) (/.f64 (/.f64 (neg.f64 z) t) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 z t) (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 z (/.f64 (/.f64 z t) t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) t) y) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) t) y) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y))) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x))) (*.f64 (*.f64 (neg.f64 y) t) y)) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x))) (*.f64 (*.f64 (neg.f64 y) t) y)))
(-.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (*.f64 (*.f64 (neg.f64 y) t) y)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 y) t) y)))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))
(*.f64 (*.f64 y t) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) y) t)
(*.f64 (*.f64 (neg.f64 y) t) y)
(*.f64 (neg.f64 y) (*.f64 y t))
(*.f64 y (*.f64 (neg.f64 y) t))
(*.f64 t (*.f64 (neg.f64 y) y))
(neg.f64 (*.f64 (*.f64 y t) y))
(neg.f64 (*.f64 (*.f64 y y) t))

eval449.0ms (4.6%)

Memory
11.8MiB live, 247.6MiB allocated
Compiler

Compiled 24 414 to 2 934 computations (88% saved)

prune231.0ms (2.4%)

Memory
-27.9MiB live, 84.5MiB allocated
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New1 038181 056
Fresh7411
Picked415
Done011
Total1 049241 073
Accuracy
100.0%
Counts
1 073 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
84.6%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
97.0%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y (/.f64 y x))))
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
49.7%
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
82.0%
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
72.7%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
78.5%
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
81.9%
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
94.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))
57.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
56.8%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
54.0%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z))))
52.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
56.8%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z))
52.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
57.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
52.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
Compiler

Compiled 1 016 to 680 computations (33.1% saved)

simplify207.0ms (2.1%)

Memory
13.5MiB live, 95.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (/.f64 x y) y)
cost-diff0
(*.f64 (/.f64 (/.f64 x y) y) x)
cost-diff0
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x))
cost-diff128
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
cost-diff0
(/.f64 #s(literal -1 binary64) t)
cost-diff0
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z))
cost-diff0
(/.f64 z t)
cost-diff0
(/.f64 z (/.f64 t (/.f64 z t)))
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
cost-diff384
(/.f64 t (/.f64 z t))
cost-diff-384
(/.f64 z (*.f64 t t))
cost-diff0
(*.f64 t t)
cost-diff0
(*.f64 (/.f64 z (*.f64 t t)) z)
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
cost-diff0
(/.f64 y x)
cost-diff0
(pow.f64 (/.f64 y x) #s(literal -2 binary64))
cost-diff0
(/.f64 z t)
cost-diff0
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037234
057228
192227
2135225
3274225
4523225
51005225
62294225
73107225
83343225
93627225
104380225
115211225
125764225
136080225
146273225
156389225
166399225
176411225
186411225
196467225
206491225
216491225
226491225
06491221
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(/.f64 z t)
z
t
(pow.f64 (/.f64 y x) #s(literal -2 binary64))
(/.f64 y x)
y
x
#s(literal -2 binary64)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
(*.f64 (/.f64 z (*.f64 t t)) z)
(/.f64 z (*.f64 t t))
z
(*.f64 t t)
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
(/.f64 z (/.f64 t (/.f64 z t)))
z
(/.f64 t (/.f64 z t))
t
(/.f64 z t)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z))
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(/.f64 z t)
z
t
(pow.f64 (/.f64 y x) #s(literal -2 binary64))
(/.f64 y x)
y
x
#s(literal -2 binary64)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(*.f64 (/.f64 z (*.f64 t t)) z)
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 z (*.f64 t t))
(/.f64 (/.f64 z t) t)
z
(*.f64 t t)
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(/.f64 z (/.f64 t (/.f64 z t)))
(*.f64 (/.f64 (/.f64 z t) t) z)
z
(/.f64 t (/.f64 z t))
(/.f64 (*.f64 t t) z)
t
(/.f64 z t)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z))
(*.f64 (/.f64 z t) z)
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(*.f64 (neg.f64 z) z)
(neg.f64 z)
z
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 (/.f64 z t) t) z #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)))
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 z z)
z
(*.f64 t t)
t

localize464.0ms (4.8%)

Memory
-132.7MiB live, 155.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x))
accuracy0.11328125
(/.f64 (/.f64 x y) y)
accuracy3.580618766174082
(*.f64 (/.f64 (/.f64 x y) y) x)
accuracy16.94646148490062
(/.f64 (*.f64 z z) (*.f64 t t))
accuracy0
(neg.f64 z)
accuracy5.495591398753859
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)
accuracy6.498941540234605
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z))
accuracy27.356046409270434
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
accuracy0
(/.f64 z t)
accuracy0.15234375
(/.f64 t (/.f64 z t))
accuracy3.765019586952889
(/.f64 z (/.f64 t (/.f64 z t)))
accuracy27.356046409270434
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
accuracy0
(*.f64 t t)
accuracy4.204891781814115
(*.f64 (/.f64 z (*.f64 t t)) z)
accuracy7.598787443649852
(/.f64 z (*.f64 t t))
accuracy27.356046409270434
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
accuracy0
(/.f64 z t)
accuracy0
(/.f64 y x)
accuracy0.1015625
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
accuracy0.2223625488422101
(pow.f64 (/.f64 y x) #s(literal -2 binary64))
Samples
251.0ms256×0valid
Compiler

Compiled 428 to 69 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-div: 192.0ms (90.7% of total)
ival-mult: 13.0ms (6.1% of total)
ival-pow: 3.0ms (1.4% of total)
ival-add: 2.0ms (0.9% of total)
ival-neg: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
5.2MiB live, 42.3MiB allocated
Counts
21 → 16
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(/.f64 z t)
(pow.f64 (/.f64 y x) #s(literal -2 binary64))
(/.f64 y x)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
(*.f64 (/.f64 z (*.f64 t t)) z)
(*.f64 t t)
(/.f64 z (*.f64 t t))
(/.f64 t (/.f64 z t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
(/.f64 z (/.f64 t (/.f64 z t)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)
(/.f64 #s(literal -1 binary64) t)
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/.f64 (/.f64 x y) y)
(neg.f64 z)
(/.f64 (*.f64 z z) (*.f64 t t))
Outputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ y x)
(/ x (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ z t)
(/ z (pow t 2))
(/ (pow t 2) z)
(/ (pow z 2) t)
(* -1 z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
(/ -1 t)
Calls

12 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
((+ (* (/ z t) (/ z t)) (pow (/ y x) -2)) (/ z t) (pow (/ y x) -2) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (/ t (/ z t))) (* (/ -1 t) (* (neg z) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ -1 t) (* (neg z) z)) t) (/ -1 t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (neg z) (/ (* z z) (* t t)))
2.0ms
z
@inf
((+ (* (/ z t) (/ z t)) (pow (/ y x) -2)) (/ z t) (pow (/ y x) -2) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (/ t (/ z t))) (* (/ -1 t) (* (neg z) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ -1 t) (* (neg z) z)) t) (/ -1 t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (neg z) (/ (* z z) (* t t)))
2.0ms
t
@0
((+ (* (/ z t) (/ z t)) (pow (/ y x) -2)) (/ z t) (pow (/ y x) -2) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (/ t (/ z t))) (* (/ -1 t) (* (neg z) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ -1 t) (* (neg z) z)) t) (/ -1 t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (neg z) (/ (* z z) (* t t)))
2.0ms
t
@inf
((+ (* (/ z t) (/ z t)) (pow (/ y x) -2)) (/ z t) (pow (/ y x) -2) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (/ t (/ z t))) (* (/ -1 t) (* (neg z) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ -1 t) (* (neg z) z)) t) (/ -1 t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (neg z) (/ (* z z) (* t t)))
2.0ms
x
@-inf
((+ (* (/ z t) (/ z t)) (pow (/ y x) -2)) (/ z t) (pow (/ y x) -2) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (/ t (/ z t))) (* (/ -1 t) (* (neg z) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ -1 t) (* (neg z) z)) t) (/ -1 t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (neg z) (/ (* z z) (* t t)))

simplify142.0ms (1.5%)

Memory
5.5MiB live, 160.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038131
171131
2205131
3846131
42911131
54025131
66402131
08128126
Stop Event
iter limit
node limit
Counts
16 → 16
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ y x)
(/ x (pow y 2))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/ z t)
(/ z (pow t 2))
(/ (pow t 2) z)
(/ (pow z 2) t)
(* -1 z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
(/ -1 t)
Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 x y) (/.f64 x y))
(/ y x)
(/.f64 y x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (*.f64 (/.f64 y t) z) (*.f64 (/.f64 y t) z) (*.f64 x x)) (*.f64 y y))
(/ z t)
(/.f64 z t)
(/ z (pow t 2))
(/.f64 (/.f64 z t) t)
(/ (pow t 2) z)
(/.f64 (*.f64 t t) z)
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(* -1 z)
(neg.f64 z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 t t) y) x) (/.f64 x y) (*.f64 z z)) (*.f64 t t))
(pow t 2)
(*.f64 t t)
(/ -1 t)
(/.f64 #s(literal -1 binary64) t)

rewrite262.0ms (2.7%)

Memory
0.9MiB live, 318.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037202
057171
1203154
22206154
08230154
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 176
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(/.f64 z t)
(pow.f64 (/.f64 y x) #s(literal -2 binary64))
(/.f64 y x)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
(*.f64 (/.f64 z (*.f64 t t)) z)
(*.f64 t t)
(/.f64 z (*.f64 t t))
(/.f64 t (/.f64 z t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
(/.f64 z (/.f64 t (/.f64 z t)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)
(/.f64 #s(literal -1 binary64) t)
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/.f64 (/.f64 x y) y)
(neg.f64 z)
(/.f64 (*.f64 z z) (*.f64 t t))
Outputs
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -2 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))))))
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 t y)))
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 t #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 (neg.f64 y) y) (*.f64 t (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (neg.f64 y) y))))
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 y y) (*.f64 t (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y y))))
(*.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) y)))
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 t z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y))))
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 y y))))
(*.f64 (fma.f64 (*.f64 z z) y (*.f64 (*.f64 t t) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) y)))
(*.f64 (fma.f64 (*.f64 z z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (*.f64 t t) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 z z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 t t) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 (neg.f64 y) y))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) y (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) y)))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 y) y))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 y y))))
(*.f64 (fma.f64 (neg.f64 z) y (*.f64 (/.f64 t (/.f64 (neg.f64 z) t)) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t (/.f64 (neg.f64 z) t)) y)))
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(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (neg.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x (/.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 y)))
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(-.f64 #s(literal 0 binary64) z)
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(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 z) t) z)))
(*.f64 #s(literal -1 binary64) (/.f64 z (/.f64 t (/.f64 (neg.f64 z) t))))
(*.f64 (/.f64 (/.f64 z t) t) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 (/.f64 z t) (/.f64 z t))
(*.f64 z (/.f64 (/.f64 z t) t))
(pow.f64 (exp.f64 (log.f64 (/.f64 z t))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t z) #s(literal -2 binary64))
(pow.f64 (/.f64 (neg.f64 z) t) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 z (/.f64 t (/.f64 (neg.f64 z) t))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) z)) (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) z)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) z)) (/.f64 z (/.f64 t (/.f64 (neg.f64 z) t)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) (neg.f64 t))
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(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64))) (/.f64 (*.f64 t t) z))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) (neg.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) (neg.f64 (*.f64 (neg.f64 t) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (/.f64 t (/.f64 (neg.f64 z) t)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (/.f64 t (/.f64 (neg.f64 z) t)))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (/.f64 t (/.f64 (neg.f64 z) t)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z))) (/.f64 (*.f64 t t) z))
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 (*.f64 t t) z))
(/.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) t)
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 t t))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 t (/.f64 (neg.f64 z) t)))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 t t) z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 t #s(literal -1 binary64)) t))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 t) t))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 t (/.f64 (neg.f64 z) t)))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 t t) z))
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(/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (neg.f64 t))
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(/.f64 (*.f64 (/.f64 z t) z) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 (/.f64 z t) z) t)
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t z) #s(literal 2 binary64)))
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(/.f64 (*.f64 z z) (neg.f64 (*.f64 (neg.f64 t) t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 (neg.f64 (*.f64 (neg.f64 t) t))))
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t))
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(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))))
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(/.f64 z (/.f64 (*.f64 t t) z))
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(neg.f64 (/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) t))
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(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 t z)) (/.f64 (/.f64 (neg.f64 z) t) (/.f64 t z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 t #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) t))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) z)) (/.f64 z (/.f64 t (/.f64 (neg.f64 z) t))))
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))))

eval138.0ms (1.4%)

Memory
4.6MiB live, 201.7MiB allocated
Compiler

Compiled 23 078 to 2 636 computations (88.6% saved)

prune32.0ms (0.3%)

Memory
2.3MiB live, 90.0MiB allocated
Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New9398947
Fresh31417
Picked235
Done022
Total94427971
Accuracy
100.0%
Counts
971 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.6%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
97.0%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
49.7%
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
82.0%
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
72.7%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
78.5%
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
83.8%
(+.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 (*.f64 z z) (*.f64 t t)))
81.9%
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
78.5%
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
94.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))
54.0%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
56.8%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z (/.f64 t z)) t))
57.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
56.8%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
54.0%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
52.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
52.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z)))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z))
52.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
57.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
52.9%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z))
Compiler

Compiled 1 090 to 724 computations (33.6% saved)

simplify82.0ms (0.8%)

Memory
4.4MiB live, 42.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 z t)
cost-diff0
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
cost-diff0
(*.f64 (/.f64 (neg.f64 z) t) z)
cost-diff0
(/.f64 #s(literal -1 binary64) t)
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))
cost-diff0
(*.f64 z z)
cost-diff0
(/.f64 (*.f64 z z) t)
cost-diff0
(/.f64 (/.f64 (*.f64 z z) t) t)
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
cost-diff-384
(/.f64 (*.f64 z z) (*.f64 t t))
cost-diff0
(*.f64 t t)
cost-diff0
(*.f64 z z)
cost-diff0
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (/.f64 x y))
cost-diff0
(/.f64 z t)
cost-diff0
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033197
050188
177188
2122188
3235188
4450188
51260188
61548188
71618188
81702188
91859188
102316188
112568188
122665188
132686188
142689188
152689188
162689188
02689188
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 z t)
z
t
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 z z)
z
(*.f64 t t)
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(*.f64 (/.f64 (neg.f64 z) t) z)
(/.f64 (neg.f64 z) t)
(neg.f64 z)
z
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 z t)
z
t
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/.f64 z t)
z
t
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/.f64 x y)
x
y
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(/.f64 (*.f64 z z) (*.f64 t t))
(*.f64 (/.f64 (/.f64 z t) t) z)
(*.f64 z z)
z
(*.f64 t t)
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(/.f64 (/.f64 (*.f64 z z) t) t)
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 (*.f64 z z) t)
(*.f64 (/.f64 z t) z)
(*.f64 z z)
z
t
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))
(*.f64 (/.f64 (/.f64 z t) t) z)
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(*.f64 (/.f64 (neg.f64 z) t) z)
(/.f64 (neg.f64 z) t)
(neg.f64 z)
z
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z))
(/.f64 z t)
z
t
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x y) y) x)
(*.f64 x x)
x
(*.f64 y y)
y

localize74.0ms (0.8%)

Memory
-7.4MiB live, 146.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy0
(*.f64 x x)
accuracy0.1015625
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
accuracy13.422490457121
(/.f64 (*.f64 x x) (*.f64 y y))
accuracy0
(neg.f64 z)
accuracy0.08984375
(*.f64 (/.f64 (neg.f64 z) t) z)
accuracy5.530747648753859
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))
accuracy27.356046409270434
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
accuracy0
(*.f64 z z)
accuracy5.495591398753859
(/.f64 (/.f64 (*.f64 z z) t) t)
accuracy6.483316540234603
(/.f64 (*.f64 z z) t)
accuracy27.356046409270434
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
accuracy0
(*.f64 z z)
accuracy0
(*.f64 t t)
accuracy16.94646148490062
(/.f64 (*.f64 z z) (*.f64 t t))
accuracy27.356046409270434
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
accuracy0
(/.f64 z t)
accuracy0
(/.f64 x y)
accuracy0.1015625
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
accuracy0.22884750976844204
(*.f64 (/.f64 x y) (/.f64 x y))
Samples
56.0ms256×0valid
Compiler

Compiled 371 to 60 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 15.0ms (44.5% of total)
ival-mult: 14.0ms (41.5% of total)
ival-add: 3.0ms (8.9% of total)
ival-neg: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
9.8MiB live, 47.6MiB allocated
Counts
20 → 17
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 z t)
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x y)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
(*.f64 z z)
(*.f64 t t)
(/.f64 (*.f64 z z) (*.f64 t t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/.f64 (*.f64 z z) t)
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
(/.f64 #s(literal -1 binary64) t)
(*.f64 (/.f64 (neg.f64 z) t) z)
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 x x)
(*.f64 y y)
(neg.f64 z)
(/.f64 (*.f64 x x) (*.f64 y y))
Outputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ x y)
(pow x 2)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(pow y 2)
(/ z t)
(pow z 2)
(/ (pow z 2) t)
(* -1 (/ (pow z 2) t))
(* -1 z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
(/ -1 t)
Calls

12 calls:

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

simplify101.0ms (1%)

Memory
20.0MiB live, 173.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036131
173131
2211131
3862131
42908131
54174131
67297131
08074126
Stop Event
iter limit
node limit
Counts
17 → 17
Calls
Call 1
Inputs
(/ (pow z 2) (pow t 2))
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(/ (pow x 2) (pow y 2))
(/ x y)
(pow x 2)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(pow y 2)
(/ z t)
(pow z 2)
(/ (pow z 2) t)
(* -1 (/ (pow z 2) t))
(* -1 z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(pow t 2)
(/ -1 t)
Outputs
(/ (pow z 2) (pow t 2))
(*.f64 (/.f64 (/.f64 z t) t) z)
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2)))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(/ x y)
(/.f64 x y)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2))
(/.f64 (fma.f64 (*.f64 (/.f64 y t) z) (*.f64 (/.f64 y t) z) (*.f64 x x)) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(/ z t)
(/.f64 z t)
(pow z 2)
(*.f64 z z)
(/ (pow z 2) t)
(*.f64 (/.f64 z t) z)
(* -1 (/ (pow z 2) t))
(*.f64 (/.f64 (neg.f64 z) t) z)
(* -1 z)
(neg.f64 z)
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2)))))
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 t t) y) x) (/.f64 x y) (*.f64 z z)) (*.f64 t t))
(pow t 2)
(*.f64 t t)
(/ -1 t)
(/.f64 #s(literal -1 binary64) t)

rewrite270.0ms (2.8%)

Memory
-36.0MiB live, 252.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033172
050132
1158132
21938132
08241132
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 420
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(/.f64 z t)
(*.f64 (/.f64 x y) (/.f64 x y))
(/.f64 x y)
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
(*.f64 z z)
(*.f64 t t)
(/.f64 (*.f64 z z) (*.f64 t t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
(/.f64 (/.f64 (*.f64 z z) t) t)
(/.f64 (*.f64 z z) t)
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
(/.f64 #s(literal -1 binary64) t)
(*.f64 (/.f64 (neg.f64 z) t) z)
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 x x)
(*.f64 y y)
(neg.f64 z)
(/.f64 (*.f64 x x) (*.f64 y y))
Outputs
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 z t))) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (-.f64 (/.f64 x y) (/.f64 z t))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 z t) (/.f64 x y))) (/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 z t) (/.f64 x y))))
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -2 binary64)))
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(/.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))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) 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))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x x) (neg.f64 y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y y)))
(*.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 (/.f64 x y))))
(*.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 y x))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (neg.f64 y))))
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x)
(*.f64 (*.f64 (/.f64 x y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x y) x))
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 x y) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (neg.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 y) (/.f64 y x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (*.f64 (/.f64 y x) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (/.f64 y x) y)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y (/.f64 y x)))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (*.f64 (/.f64 x y) x) (*.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x y) x) y)
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (/.f64 x y) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (/.f64 y x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) y) (*.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y x)) (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 x x) (*.f64 y y))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (/.f64 x y) (/.f64 y x))
(/.f64 x (/.f64 (*.f64 y y) x))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)))
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x y)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))

eval129.0ms (1.3%)

Memory
28.1MiB live, 176.6MiB allocated
Compiler

Compiled 20 107 to 2 302 computations (88.6% saved)

prune50.0ms (0.5%)

Memory
-10.9MiB live, 74.7MiB allocated
Pruning

27 alts after pruning (17 fresh and 10 done)

PrunedKeptTotal
New8931894
Fresh11617
Picked055
Done055
Total89427921
Accuracy
100.0%
Counts
921 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.6%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
97.0%
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
99.7%
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))))
49.7%
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
82.0%
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
72.7%
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
78.5%
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
81.9%
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
78.5%
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
94.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))
54.0%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
56.8%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z (/.f64 t z)) t))
57.2%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
56.8%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
54.0%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
52.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
52.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z)))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z))
52.6%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
57.1%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
56.7%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
52.9%
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z))
Compiler

Compiled 1 507 to 567 computations (62.4% saved)

regimes158.0ms (1.6%)

Memory
-3.8MiB live, 231.7MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z (/.f64 t z)) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z))
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))))
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (*.f64 t (*.f64 y y)))
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y (/.f64 y x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x)))) (*.f64 (*.f64 t (neg.f64 y)) y))
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))))
(+.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(fma.f64 z (*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (+.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y))) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))))
Calls

11 calls:

22.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
18.0ms
y
16.0ms
(*.f64 x x)
15.0ms
x
14.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1t
99.7%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
99.7%1(/.f64 (*.f64 x x) (*.f64 y y))
99.7%1(*.f64 x x)
99.7%1(*.f64 y y)
99.7%1(/.f64 (*.f64 z z) (*.f64 t t))
99.7%1(*.f64 z z)
99.7%1(*.f64 t t)
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes123.0ms (1.3%)

Memory
4.4MiB live, 288.4MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z (/.f64 t z)) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z))
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))))
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (*.f64 t (*.f64 y y)))
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y (/.f64 y x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x)))) (*.f64 (*.f64 t (neg.f64 y)) y))
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
Calls

11 calls:

13.0ms
(*.f64 y y)
13.0ms
y
12.0ms
z
12.0ms
(*.f64 z z)
11.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1z
99.7%1t
99.7%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
99.7%1(/.f64 (*.f64 x x) (*.f64 y y))
99.7%1(*.f64 x x)
99.7%1(*.f64 y y)
99.7%1(/.f64 (*.f64 z z) (*.f64 t t))
99.7%1(*.f64 z z)
99.7%1(*.f64 t t)
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes309.0ms (3.2%)

Memory
-10.8MiB live, 108.6MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z (/.f64 t z)) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z))
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))
Calls

11 calls:

138.0ms
(*.f64 z z)
67.0ms
x
39.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
9.0ms
t
9.0ms
z
Results
AccuracySegmentsBranch
94.6%1x
94.6%1y
94.6%1z
94.6%1t
94.6%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
96.4%2(/.f64 (*.f64 x x) (*.f64 y y))
94.6%1(*.f64 x x)
94.6%1(*.f64 y y)
94.6%1(/.f64 (*.f64 z z) (*.f64 t t))
94.6%1(*.f64 z z)
94.6%1(*.f64 t t)
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes153.0ms (1.6%)

Memory
14.6MiB live, 91.5MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z (/.f64 t z)) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z))
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t)))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
Calls

11 calls:

46.0ms
x
37.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
8.0ms
t
8.0ms
z
8.0ms
y
Results
AccuracySegmentsBranch
88.4%3z
90.7%3t
87.2%2(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
90.3%3(*.f64 y y)
90.2%2(/.f64 (*.f64 z z) (*.f64 t t))
88.4%3(*.f64 z z)
90.7%3(*.f64 t t)
90.4%3x
90.3%3y
90.4%3(*.f64 x x)
90.9%2(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes13.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z (/.f64 t z)) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z))
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
Calls

2 calls:

6.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
6.0ms
(/.f64 (*.f64 z z) (*.f64 t t))
Results
AccuracySegmentsBranch
86.8%2(/.f64 (*.f64 z z) (*.f64 t t))
89.4%2(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 14 to 14 computations (0% saved)

regimes136.0ms (1.4%)

Memory
-4.9MiB live, 90.6MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z (/.f64 t z)) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z))
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
Calls

11 calls:

49.0ms
y
32.0ms
t
7.0ms
x
7.0ms
z
6.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
84.6%2(/.f64 (*.f64 z z) (*.f64 t t))
81.4%2(*.f64 z z)
81.8%2z
85.3%2(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
85.8%3y
85.3%3(*.f64 y y)
82.8%2(*.f64 x x)
82.8%2x
80.2%2(*.f64 t t)
80.5%2t
87.0%3(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes80.0ms (0.8%)

Memory
-16.8MiB live, 58.9MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z (/.f64 t z)) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
Calls

9 calls:

26.0ms
(*.f64 x x)
6.0ms
x
6.0ms
z
6.0ms
y
6.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
69.1%2(*.f64 z z)
69.1%2z
68.9%2x
68.9%2(*.f64 x x)
74.2%2(*.f64 y y)
74.2%2y
74.6%3(/.f64 (*.f64 z z) (*.f64 t t))
57.2%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
82.3%3(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 41 to 52 computations (-26.8% saved)

regimes137.0ms (1.4%)

Memory
-7.1MiB live, 71.9MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z (/.f64 t z)) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))
Calls

10 calls:

59.0ms
y
37.0ms
(*.f64 x x)
5.0ms
t
5.0ms
x
5.0ms
z
Results
AccuracySegmentsBranch
59.0%2x
59.0%2(*.f64 x x)
57.2%1z
57.2%1(*.f64 z z)
57.2%1(/.f64 (*.f64 z z) (*.f64 t t))
61.2%2y
61.2%2(*.f64 y y)
57.2%1(*.f64 t t)
57.2%1t
60.8%2(/.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 30 to 50 computations (-66.7% saved)

regimes8.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t))))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
Calls

2 calls:

4.0ms
y
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
61.2%2y
61.2%2(*.f64 y y)
Compiler

Compiled 4 to 9 computations (-125% saved)

regimes6.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))
Calls

2 calls:

3.0ms
y
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
60.9%2y
60.9%2(*.f64 y y)
Compiler

Compiled 4 to 9 computations (-125% saved)

regimes38.0ms (0.4%)

Memory
4.8MiB live, 40.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
Calls

11 calls:

23.0ms
y
2.0ms
t
2.0ms
z
2.0ms
x
1.0ms
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
Results
AccuracySegmentsBranch
52.6%1(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t)))
52.6%1z
52.6%1(/.f64 (*.f64 z z) (*.f64 t t))
52.6%1(*.f64 z z)
52.6%1t
52.6%1(*.f64 t t)
52.6%1x
52.6%1(*.f64 x x)
52.6%1(/.f64 (*.f64 x x) (*.f64 y y))
54.6%2y
54.6%2(*.f64 y y)
Compiler

Compiled 45 to 61 computations (-35.6% saved)

regimes64.0ms (0.7%)

Memory
-27.4MiB live, 11.6MiB 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) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
Outputs
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
Calls

4 calls:

60.0ms
y
1.0ms
(*.f64 x x)
1.0ms
(*.f64 y y)
1.0ms
(/.f64 (*.f64 x x) (*.f64 y y))
Results
AccuracySegmentsBranch
52.6%1(/.f64 (*.f64 x x) (*.f64 y y))
52.6%1(*.f64 x x)
52.6%1y
52.6%1(*.f64 y y)
Compiler

Compiled 14 to 21 computations (-50% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1868730190762995e-16
0.0007196163181132771
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.517208450393687e+58
2.3408659370569885e+69
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch0.0ms (0%)

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

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
8.511945727368459e-190
1.9337697916459877e-189
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
8.517208450393687e+58
2.3408659370569885e+69
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch11.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
6.41863719570092e-292
4.4324086273638706e-291
Samples
6.0ms96×0valid
Compiler

Compiled 294 to 210 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (58.9% of total)
ival-div: 1.0ms (29.4% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
6.41863719570092e-292
4.4324086273638706e-291
Samples
2.0ms32×0valid
Compiler

Compiled 294 to 204 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (89.1% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Memory
-11.5MiB live, 27.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
1.3159732971096787e-233
6.1958817730631095e-233
Samples
30.0ms96×0valid
Compiler

Compiled 294 to 204 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-add: 24.0ms (87.2% of total)
ival-mult: 2.0ms (7.3% of total)
ival-div: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
9.0ms
7.461258878409036e-264
3.1898254637456795e-263
Samples
6.0ms96×0valid
Compiler

Compiled 294 to 210 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (58.9% of total)
ival-div: 1.0ms (29.5% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify93.0ms (1%)

Memory
-4.4MiB live, 43.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101604
1127604
2159604
3204604
4230604
5244604
6250604
7252604
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 99999999999999997168788049560464200849936328366177157906432 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z)))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 5016456510113119/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 99999999999999997168788049560464200849936328366177157906432 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))))
(if (<=.f64 (*.f64 y y) #s(literal 1334225373530625/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (*.f64 y y) #s(literal 5056011941800263/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (*.f64 y y) #s(literal 2349285087062399/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (*.f64 y y) #s(literal 850877900206251/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))
Outputs
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x))))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y)))
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y)))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 99999999999999997168788049560464200849936328366177157906432 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 99999999999999997168788049560464200849936328366177157906432 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z)))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 z t)) (neg.f64 z))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 5016456510113119/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 5016456510113119/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 z t)) (neg.f64 z)))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 99999999999999997168788049560464200849936328366177157906432 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))))
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 99999999999999997168788049560464200849936328366177157906432 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 (neg.f64 y) t) y)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 z t)) (neg.f64 z)))))
(if (<=.f64 (*.f64 y y) #s(literal 1334225373530625/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))
(if (<=.f64 (*.f64 y y) #s(literal 5056011941800263/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (*.f64 y y) #s(literal 2349285087062399/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))))
(if (<=.f64 (*.f64 y y) #s(literal 850877900206251/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)))
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z))

soundness1.8s (18.7%)

Memory
-22.0MiB live, 1 011.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033172
050132
1158132
21938132
08241132
01141
01841
16933
281333
0837733
037202
057171
1203154
22206154
08230154
029109
160109
2192109
3825109
42854109
53969109
66263109
77757109
08061104
070277
1210270
2709270
33723270
45500270
08310258
041191
069150
1252148
22335148
08547148
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 536 to 672 computations (56.3% saved)

preprocess122.0ms (1.3%)

Memory
-3.8MiB live, 119.4MiB allocated
Remove

(abs x)

(abs y)

(abs z)

(abs t)

Compiler

Compiled 1 516 to 418 computations (72.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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