Statistics.Distribution.CauchyLorentz:$cdensity from math-functions-0.1.5.2

Time bar (total: 3.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze131.0ms (3.6%)

Memory
-36.4MiB live, 115.3MiB allocated; 47ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
56.3%56.2%43.7%0.1%0%0%0%6
56.3%56.2%43.7%0.1%0%0%0%7
65.6%65.5%34.3%0.1%0%0%0%8
76.6%76.5%23.4%0.1%0%0%0%9
76.6%76.5%23.4%0.1%0%0%0%10
82%81.9%17.9%0.1%0%0%0%11
87.9%87.8%12.1%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample974.0ms (26.5%)

Memory
42.0MiB live, 1 212.9MiB allocated; 354ms collecting garbage
Samples
628.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 414.0ms
ival-mult: 219.0ms (52.9% of total)
ival-div: 141.0ms (34% of total)
ival-add: 44.0ms (10.6% of total)
exact: 6.0ms (1.4% of total)
adjust: 2.0ms (0.5% of total)
ival-assert: 2.0ms (0.5% of total)
Bogosity

explain121.0ms (3.3%)

Memory
4.4MiB live, 153.3MiB allocated; 22ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
180-0-(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
150-0-(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-z
00-0-(+.f64 #s(literal 1 binary64) (*.f64 z z))
00-0-(*.f64 z z)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))n*o180
/.f64(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))n/o150
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))overflow67
(+.f64 #s(literal 1 binary64) (*.f64 z z))overflow66
(*.f64 z z)overflow66
Confusion
Predicted +Predicted -
+240
-9223
Precision
0.7272727272727273
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2400
-90223
Precision?
0.7272727272727273
Recall?
1.0
Freqs
test
numberfreq
0223
133
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (42.9% of total)
ival-mult: 6.0ms (36.8% of total)
ival-add: 2.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess169.0ms (4.6%)

Memory
-18.2MiB live, 163.2MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035113
1135110
2526110
31580110
45516110
0911
01411
13411
210711
333311
4138511
5616611
0812310
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
Symmetry

(abs z)

(negabs x)

(negabs y)

(sort x y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
Compiler

Compiled 11 to 9 computations (18.2% saved)

series12.0ms (0.3%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Counts
9 → 23
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
z
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 y))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (+ 1 (* z z)) #s(hole binary64 1))
#s(approx (+ 1 (* z z)) #s(hole binary64 (+ 1 (pow z 2))))
#s(approx (* z z) #s(hole binary64 (pow z 2)))
#s(approx z #s(hole binary64 z))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* y (pow z 2))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (+ 1 (* z z)) #s(hole binary64 (pow z 2)))
#s(approx (+ 1 (* z z)) #s(hole binary64 (* (pow z 2) (+ 1 (/ 1 (pow z 2))))))
Calls

9 calls:

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

rewrite149.0ms (4.1%)

Memory
22.9MiB live, 113.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084464
092452
1407440
04302410
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
32 → 176
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
y
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
z
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 y))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (+ 1 (* z z)) #s(hole binary64 1))
#s(approx (+ 1 (* z z)) #s(hole binary64 (+ 1 (pow z 2))))
#s(approx (* z z) #s(hole binary64 (pow z 2)))
#s(approx z #s(hole binary64 z))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* y (pow z 2))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (+ 1 (* z z)) #s(hole binary64 (pow z 2)))
#s(approx (+ 1 (* z z)) #s(hole binary64 (* (pow z 2) (+ 1 (/ 1 (pow z 2))))))
Outputs
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1 binary64)))
(pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) x)
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)))
(neg.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 y) (fma.f64 z z #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
x
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(*.f64 y (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) y) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (*.f64 y (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 z z) y) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) z) z) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) y (*.f64 y (*.f64 (*.f64 (neg.f64 y) z) z)))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (*.f64 z z) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 z z) y) (-.f64 (*.f64 (*.f64 z z) y) y) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64))) (-.f64 y (*.f64 (*.f64 z z) y)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 z z) y) y))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (-.f64 (*.f64 (*.f64 z z) y) y) (*.f64 y y)))
(fma.f64 (*.f64 y (neg.f64 z)) (neg.f64 z) y)
(fma.f64 (*.f64 y (fabs.f64 z)) (fabs.f64 z) y)
(fma.f64 (*.f64 y z) z y)
(fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) y) y)
(fma.f64 (fabs.f64 z) (*.f64 (fabs.f64 z) y) y)
(fma.f64 (*.f64 z z) y y)
(fma.f64 z (*.f64 z y) y)
(fma.f64 y (*.f64 z z) y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (*.f64 z z) y))) (/.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (-.f64 y (*.f64 (*.f64 z z) y))))
(-.f64 y (*.f64 (*.f64 (neg.f64 z) z) y))
(-.f64 y (*.f64 (*.f64 (neg.f64 y) z) z))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) y) (-.f64 (*.f64 (*.f64 z z) y) y) (*.f64 y y))) (/.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) y) (-.f64 (*.f64 (*.f64 z z) y) y) (*.f64 y y))))
(+.f64 (*.f64 (*.f64 z z) y) y)
(+.f64 y (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z z)))
(+.f64 y (*.f64 (*.f64 z z) y))
y
(*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 z)) (neg.f64 z))
(*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)) (fabs.f64 z)) (fabs.f64 z))
(*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)) z) z)
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 z) (*.f64 (fabs.f64 z) (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 z z))
(*.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 z (*.f64 z (-.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -4 binary64))) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal -6 binary64)) #s(literal 1 binary64)) (*.f64 z z)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -4 binary64))) (pow.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 z z) (+.f64 (pow.f64 z #s(literal -6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -4 binary64))) (pow.f64 z #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z z #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 z) z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 z) #s(literal 1 binary64)) (*.f64 (fabs.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 #s(literal 1 binary64) (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 z) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 z)) (*.f64 #s(literal 1 binary64) (fabs.f64 z)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 z)) (fabs.f64 z) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 z) (neg.f64 z) #s(literal 1 binary64))
(fma.f64 (fabs.f64 z) (*.f64 (fabs.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 z) (fabs.f64 z) #s(literal 1 binary64))
(fma.f64 (*.f64 z z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 z (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z z #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 z z) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(-.f64 (*.f64 z z) (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -2 binary64))))
(-.f64 (*.f64 z z) (*.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) (*.f64 z z)))
(-.f64 (*.f64 z z) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 z z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 z)) z))
(+.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 z) #s(literal 1 binary64)) (*.f64 (fabs.f64 z) #s(literal 1 binary64)))
(*.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 z))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 z)) (*.f64 #s(literal 1 binary64) (fabs.f64 z)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 z)) (fabs.f64 z))
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 #s(literal 1 binary64) z) z)
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)))
(*.f64 (neg.f64 (fabs.f64 z)) (neg.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (fabs.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (neg.f64 z))
(*.f64 (fabs.f64 z) (*.f64 (fabs.f64 z) #s(literal 1 binary64)))
(*.f64 (fabs.f64 z) (fabs.f64 z))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 z (*.f64 z #s(literal 1 binary64)))
(*.f64 z z)
(*.f64 #s(literal 1 binary64) (*.f64 z z))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (neg.f64 z) #s(literal 2 binary64))
(pow.f64 (fabs.f64 z) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 z z)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 z) z))
(fabs.f64 (*.f64 z z))
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))))
z
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1 binary64)))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (* y (+ 1 (* z z))) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))
#s(approx y y)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (fma.f64 (/.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) y) x) (*.f64 z z) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)) (*.f64 z z)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (*.f64 z z) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))
#s(approx (* y (+ 1 (* z z))) y)
#s(approx (* y (+ 1 (* z z))) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))
#s(approx (+ 1 (* z z)) #s(literal 1 binary64))
#s(approx (+ 1 (* z z)) (fma.f64 z z #s(literal 1 binary64)))
#s(approx (* z z) (*.f64 z z))
#s(approx z z)
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal -1 binary64)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal -1 binary64))) (*.f64 z z)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (pow.f64 z #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal -1 binary64)))) (*.f64 z z)))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (pow.f64 z #s(literal -6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) x) #s(literal -1 binary64)))) (*.f64 z z)))
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 z z) y))
#s(approx (* y (+ 1 (* z z))) (*.f64 (*.f64 (+.f64 (/.f64 y (*.f64 z z)) y) z) z))
#s(approx (+ 1 (* z z)) (*.f64 z z))
#s(approx (+ 1 (* z z)) (fma.f64 z z #s(literal 1 binary64)))

eval31.0ms (0.8%)

Memory
-5.0MiB live, 47.6MiB allocated; 11ms collecting garbage
Compiler

Compiled 2 810 to 613 computations (78.2% saved)

prune10.0ms (0.3%)

Memory
-24.5MiB live, 22.5MiB allocated; 2ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New16512177
Fresh000
Picked101
Done000
Total16612178
Accuracy
95.3%
Counts
178 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.1%
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64)))
93.1%
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
89.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) x)
91.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
64.3%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
46.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
58.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
89.3%
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
89.5%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
89.3%
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)))
91.1%
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
52.0%
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
Compiler

Compiled 328 to 248 computations (24.4% saved)

series30.0ms (0.8%)

Memory
0.6MiB live, 47.0MiB allocated; 3ms collecting garbage
Counts
21 → 89
Calls
Call 1
Inputs
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64)))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
y
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
(/.f64 #s(literal 1 binary64) x)
#s(approx (* y (+ 1 (* z z))) y)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64)))
(pow.f64 (*.f64 y x) #s(literal -1 binary64))
(*.f64 y x)
Outputs
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (/ 1 (* x (+ 1 (pow z 2))))))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* x (* y (+ 1 (pow z 2))))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (pow (* y x) -1) #s(hole binary64 (/ 1 (* x y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx y #s(hole binary64 y))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* y z) #s(hole binary64 (* y z)))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (+ (* -1 (/ (pow z 2) x)) (/ 1 x))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))))
#s(approx (+ (* z z) 1) #s(hole binary64 1))
#s(approx (+ (* z z) 1) #s(hole binary64 (+ 1 (pow z 2))))
#s(approx z #s(hole binary64 z))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 y))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* x y)))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 y))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (/ 1 (* x (pow z 2)))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))))
#s(approx (+ (* z z) 1) #s(hole binary64 (pow z 2)))
#s(approx (+ (* z z) 1) #s(hole binary64 (* (pow z 2) (+ 1 (/ 1 (pow z 2))))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* y (pow z 2))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@0
((/ (/ (pow x -1) (+ (* z z) 1)) y) (/ (pow x -1) (+ (* z z) 1)) (pow x -1) x -1 (+ (* z z) 1) z 1 y (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (/ 1 (* (* (+ (* z z) 1) y) x)) (* (* (+ (* z z) 1) y) x) (* (+ (* z z) 1) y) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (/ (pow (* y x) -1) (+ (* z z) 1)) (pow (* y x) -1) (* y x))
4.0ms
y
@-inf
((/ (/ (pow x -1) (+ (* z z) 1)) y) (/ (pow x -1) (+ (* z z) 1)) (pow x -1) x -1 (+ (* z z) 1) z 1 y (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (/ 1 (* (* (+ (* z z) 1) y) x)) (* (* (+ (* z z) 1) y) x) (* (+ (* z z) 1) y) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (/ (pow (* y x) -1) (+ (* z z) 1)) (pow (* y x) -1) (* y x))
4.0ms
z
@0
((/ (/ (pow x -1) (+ (* z z) 1)) y) (/ (pow x -1) (+ (* z z) 1)) (pow x -1) x -1 (+ (* z z) 1) z 1 y (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (/ 1 (* (* (+ (* z z) 1) y) x)) (* (* (+ (* z z) 1) y) x) (* (+ (* z z) 1) y) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (/ (pow (* y x) -1) (+ (* z z) 1)) (pow (* y x) -1) (* y x))
4.0ms
y
@inf
((/ (/ (pow x -1) (+ (* z z) 1)) y) (/ (pow x -1) (+ (* z z) 1)) (pow x -1) x -1 (+ (* z z) 1) z 1 y (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (/ 1 (* (* (+ (* z z) 1) y) x)) (* (* (+ (* z z) 1) y) x) (* (+ (* z z) 1) y) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (/ (pow (* y x) -1) (+ (* z z) 1)) (pow (* y x) -1) (* y x))
3.0ms
x
@-inf
((/ (/ (pow x -1) (+ (* z z) 1)) y) (/ (pow x -1) (+ (* z z) 1)) (pow x -1) x -1 (+ (* z z) 1) z 1 y (/ (/ 1 x) (* y (+ 1 (* z z)))) (/ 1 x) (* y (+ 1 (* z z))) (/ 1 (* (* (+ (* z z) 1) y) x)) (* (* (+ (* z z) 1) y) x) (* (+ (* z z) 1) y) (/ (/ 1 x) (+ (* (* y z) z) y)) (+ (* (* y z) z) y) (* y z) (/ (pow (* y x) -1) (+ (* z z) 1)) (pow (* y x) -1) (* y x))

rewrite163.0ms (4.4%)

Memory
-6.0MiB live, 178.3MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02122214
02372134
18851967
084851955
Stop Event
iter limit
node limit
iter limit
Counts
110 → 600
Calls
Call 1
Inputs
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64)))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(fma.f64 z z #s(literal 1 binary64))
z
#s(literal 1 binary64)
y
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
(/.f64 #s(literal 1 binary64) x)
#s(approx (* y (+ 1 (* z z))) y)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(fma.f64 (*.f64 y z) z y)
(*.f64 y z)
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64)))
(pow.f64 (*.f64 y x) #s(literal -1 binary64))
(*.f64 y x)
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (/ 1 (* x (+ 1 (pow z 2))))))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* x (* y (+ 1 (pow z 2))))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (pow (* y x) -1) #s(hole binary64 (/ 1 (* x y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx y #s(hole binary64 y))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* y z) #s(hole binary64 (* y z)))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (+ (* -1 (/ (pow z 2) x)) (/ 1 x))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) x) (/ 1 x))) (/ 1 x))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))))
#s(approx (+ (* z z) 1) #s(hole binary64 1))
#s(approx (+ (* z z) 1) #s(hole binary64 (+ 1 (pow z 2))))
#s(approx z #s(hole binary64 z))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 y))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* x y)))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 y))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ (pow x -1) (+ (* z z) 1)) y) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (/ 1 (* x (pow z 2)))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (/ (- (/ 1 x) (/ 1 (* x (pow z 2)))) (pow z 2))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (/ 1 (* x (pow z 2)))) (pow z 2))))
#s(approx (/ (pow x -1) (+ (* z z) 1)) #s(hole binary64 (/ (- (+ (/ 1 x) (/ 1 (* x (pow z 4)))) (+ (/ 1 (* x (pow z 2))) (/ 1 (* x (pow z 6))))) (pow z 2))))
#s(approx (+ (* z z) 1) #s(hole binary64 (pow z 2)))
#s(approx (+ (* z z) 1) #s(hole binary64 (* (pow z 2) (+ 1 (/ 1 (pow z 2))))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* y (pow z 2))))
#s(approx (* y (+ 1 (* z z))) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
Outputs
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 z z #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (neg.f64 z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 z z)))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y))) (-.f64 (*.f64 (*.f64 y z) z) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 y z) z) #s(literal 2 binary64)))) (-.f64 y (*.f64 (*.f64 y z) z)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 y (-.f64 y (*.f64 (*.f64 y z) z)))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 y z) z) (-.f64 (*.f64 (*.f64 y z) z) y) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y z) z) x) #s(literal 2 binary64)))) (*.f64 x (-.f64 y (*.f64 (*.f64 y z) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y z) z) x) (-.f64 (*.f64 (*.f64 (*.f64 y z) z) x) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))))
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#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) x) y) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)) (*.f64 z z)))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) x) y) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)) (/.f64 (/.f64 (pow.f64 z #s(literal -6 binary64)) x) y)) (*.f64 z z)))
#s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 y z) z))
#s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 (+.f64 (/.f64 y (*.f64 z z)) y) z) z))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y) (/.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) x) y)))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) x) y) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)) (*.f64 z z)))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -4 binary64)) x) y) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) x) y)) (/.f64 (/.f64 (pow.f64 z #s(literal -6 binary64)) x) y)) (*.f64 z z)))

eval51.0ms (1.4%)

Memory
4.8MiB live, 107.2MiB allocated; 16ms collecting garbage
Compiler

Compiled 7 860 to 1 285 computations (83.7% saved)

prune21.0ms (0.6%)

Memory
20.0MiB live, 64.3MiB allocated; 5ms collecting garbage
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New47213485
Fresh617
Picked415
Done000
Total48215497
Accuracy
99.7%
Counts
497 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(/.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
91.2%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
89.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) x)
48.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 y z) z)))
58.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
96.1%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y x) z) z (*.f64 y x)))
97.5%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
31.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 y z) z) y)))
91.2%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
93.1%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
46.7%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y) x))
58.5%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
48.6%
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
58.4%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ (* (* y z) z) y) y)))
52.0%
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
Compiler

Compiled 415 to 311 computations (25.1% saved)

series40.0ms (1.1%)

Memory
18.8MiB live, 60.9MiB allocated; 11ms collecting garbage
Counts
23 → 112
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
#s(literal 1 binary64)
(fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))
(*.f64 y z)
y
z
(*.f64 z x)
x
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
(*.f64 #s(approx (+ (* (* y z) z) y) y) x)
#s(approx (+ (* (* y z) z) y) y)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y) x))
(*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y) x)
(*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y)
#s(approx (+ (* z z) 1) (*.f64 z z))
(*.f64 z z)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y x) z) z (*.f64 y x)))
(fma.f64 (*.f64 (*.f64 y x) z) z (*.f64 y x))
(*.f64 (*.f64 y x) z)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
Outputs
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* x (+ y (* y (pow z 2))))))
#s(approx (* z x) #s(hole binary64 (* x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (* x (+ y (* y (pow z 2))))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* x (* y (+ 1 (pow z 2))))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* x (+ y (* y (pow z 2))))))
#s(approx (* (* y x) z) #s(hole binary64 (* x (* y z))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ 1 (* y (+ x (* x (pow z 2)))))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* y (+ x (* x (pow z 2))))))
#s(approx (* y z) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (* x (* y (+ 1 (pow z 2))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ 1 (* y (+ x (* x (pow z 2)))))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* y (+ x (* x (pow z 2))))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* x y)))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx z #s(hole binary64 z))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (* x y)))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 y))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* x y)))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (+ (* z z) 1) #s(hole binary64 1))
#s(approx (+ (* z z) 1) #s(hole binary64 (+ 1 (pow z 2))))
#s(approx (* z z) #s(hole binary64 (pow z 2)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* x y)))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (+ 1 (* -1 (pow z 2)))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (+ 1 (* (pow z 2) (- (pow z 2) 1)))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (+ (* z z) 1) #s(hole binary64 (pow z 2)))
#s(approx (+ (* z z) 1) #s(hole binary64 (* (pow z 2) (+ 1 (/ 1 (pow z 2))))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ 1 (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow z 2))) (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
x
@inf
((/ 1 (+ (* (* y z) (* z x)) (* y x))) 1 (+ (* (* y z) (* z x)) (* y x)) (* y z) y z (* z x) x (* y x) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ 1 (* (* (+ (* z z) 1) y) x)) (* (* (+ (* z z) 1) y) x) (* (+ (* z z) 1) y) (+ (* z z) 1) (* z z) (/ 1 (+ (* (* (* y x) z) z) (* y x))) (+ (* (* (* y x) z) z) (* y x)) (* (* y x) z) (/ (/ 1 (+ (* z z) 1)) (* y x)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1))
5.0ms
y
@-inf
((/ 1 (+ (* (* y z) (* z x)) (* y x))) 1 (+ (* (* y z) (* z x)) (* y x)) (* y z) y z (* z x) x (* y x) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ 1 (* (* (+ (* z z) 1) y) x)) (* (* (+ (* z z) 1) y) x) (* (+ (* z z) 1) y) (+ (* z z) 1) (* z z) (/ 1 (+ (* (* (* y x) z) z) (* y x))) (+ (* (* (* y x) z) z) (* y x)) (* (* y x) z) (/ (/ 1 (+ (* z z) 1)) (* y x)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1))
4.0ms
x
@-inf
((/ 1 (+ (* (* y z) (* z x)) (* y x))) 1 (+ (* (* y z) (* z x)) (* y x)) (* y z) y z (* z x) x (* y x) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ 1 (* (* (+ (* z z) 1) y) x)) (* (* (+ (* z z) 1) y) x) (* (+ (* z z) 1) y) (+ (* z z) 1) (* z z) (/ 1 (+ (* (* (* y x) z) z) (* y x))) (+ (* (* (* y x) z) z) (* y x)) (* (* y x) z) (/ (/ 1 (+ (* z z) 1)) (* y x)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1))
3.0ms
y
@inf
((/ 1 (+ (* (* y z) (* z x)) (* y x))) 1 (+ (* (* y z) (* z x)) (* y x)) (* y z) y z (* z x) x (* y x) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ 1 (* (* (+ (* z z) 1) y) x)) (* (* (+ (* z z) 1) y) x) (* (+ (* z z) 1) y) (+ (* z z) 1) (* z z) (/ 1 (+ (* (* (* y x) z) z) (* y x))) (+ (* (* (* y x) z) z) (* y x)) (* (* y x) z) (/ (/ 1 (+ (* z z) 1)) (* y x)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1))
3.0ms
x
@0
((/ 1 (+ (* (* y z) (* z x)) (* y x))) 1 (+ (* (* y z) (* z x)) (* y x)) (* y z) y z (* z x) x (* y x) (/ 1 (* (+ (* (* y z) z) y) x)) (* (+ (* (* y z) z) y) x) (+ (* (* y z) z) y) (/ 1 (* (* (+ (* z z) 1) y) x)) (* (* (+ (* z z) 1) y) x) (* (+ (* z z) 1) y) (+ (* z z) 1) (* z z) (/ 1 (+ (* (* (* y x) z) z) (* y x))) (+ (* (* (* y x) z) z) (* y x)) (* (* y x) z) (/ (/ 1 (+ (* z z) 1)) (* y x)) (/ 1 (+ (* z z) 1)) (+ (* z z) 1))

rewrite199.0ms (5.4%)

Memory
-25.1MiB live, 203.1MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512800
02722671
110402460
087302428
Stop Event
iter limit
node limit
iter limit
Counts
135 → 811
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
#s(literal 1 binary64)
(fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))
(*.f64 y z)
y
z
(*.f64 z x)
x
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
(*.f64 #s(approx (+ (* (* y z) z) y) y) x)
#s(approx (+ (* (* y z) z) y) y)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y) x))
(*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y) x)
(*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y)
#s(approx (+ (* z z) 1) (*.f64 z z))
(*.f64 z z)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y x) z) z (*.f64 y x)))
(fma.f64 (*.f64 (*.f64 y x) z) z (*.f64 y x))
(*.f64 (*.f64 y x) z)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64)))
(fma.f64 z z #s(literal 1 binary64))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* x (+ y (* y (pow z 2))))))
#s(approx (* z x) #s(hole binary64 (* x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (* x (+ y (* y (pow z 2))))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* x (* y (+ 1 (pow z 2))))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* x (+ y (* y (pow z 2))))))
#s(approx (* (* y x) z) #s(hole binary64 (* x (* y z))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (* y (pow z 2))))))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ 1 (* y (+ x (* x (pow z 2)))))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* y (+ x (* x (pow z 2))))))
#s(approx (* y z) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (* x (* y (+ 1 (pow z 2))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ 1 (* y (+ x (* x (pow z 2)))))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* y (+ x (* x (pow z 2))))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (* x (pow z 2))))))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* x y)))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx z #s(hole binary64 z))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (* x y)))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 y))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* x y)))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (+ (* z z) 1) #s(hole binary64 1))
#s(approx (+ (* z z) 1) #s(hole binary64 (+ 1 (pow z 2))))
#s(approx (* z z) #s(hole binary64 (pow z 2)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* x y)))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (+ 1 (* -1 (pow z 2)))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (+ 1 (* (pow z 2) (- (pow z 2) 1)))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (+ (* (* y z) (* z x)) (* y x))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (+ (* (* y z) (* z x)) (* y x)) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (+ (* (* y z) z) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (* (+ (* (* y z) z) y) x) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (* (+ (* z z) 1) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (* (* (+ (* z z) 1) y) x) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (+ (* z z) 1) #s(hole binary64 (pow z 2)))
#s(approx (+ (* z z) 1) #s(hole binary64 (* (pow z 2) (+ 1 (/ 1 (pow z 2))))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (+ (* (* (* y x) z) z) (* y x)) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ 1 (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow z 2))) (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))))
Outputs
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z z) x) #s(literal 2 binary64)))) (-.f64 x (*.f64 (*.f64 z z) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z z) x) (-.f64 (*.f64 (*.f64 z z) x) x) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) y (*.f64 (*.f64 z z) y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z z) y) (-.f64 (*.f64 (*.f64 z z) y) y) (*.f64 y y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 z z) x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 z z) x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z z) x) (-.f64 (*.f64 (*.f64 z z) x) x) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)))) (-.f64 y (*.f64 (*.f64 z z) y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y))) (-.f64 (*.f64 (*.f64 z z) y) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z z) y) (-.f64 (*.f64 (*.f64 z z) y) y) (*.f64 y y)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 y (-.f64 y (*.f64 (*.f64 z z) y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal 2 binary64)))) (*.f64 x (-.f64 y (*.f64 (*.f64 z z) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 x (-.f64 (*.f64 (*.f64 z z) y) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 z z) x) y) (*.f64 x (-.f64 (*.f64 (*.f64 z z) y) y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 x y) (*.f64 x (-.f64 y (*.f64 (*.f64 z z) y))))))
(*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) z y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) z y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) y) (fma.f64 z z #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) x)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 z y) z y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 z z #s(literal 1 binary64))) y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z y) z y))))
(*.f64 (pow.f64 (fma.f64 (*.f64 z y) z y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) y) (fma.f64 z z #s(literal 1 binary64)))))
(*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) z y) x) #s(literal -1 binary64)))
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#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64)))) (*.f64 z z)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64)))) (*.f64 z z)))
#s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y))
#s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 x (fma.f64 y (pow.f64 z #s(literal -2 binary64)) y)) (*.f64 z z)))
#s(approx (* (+ (* z z) 1) y) (*.f64 (*.f64 z z) y))
#s(approx (* (+ (* z z) 1) y) (*.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) y) (*.f64 z z)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64))) (*.f64 z z)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64)))) (*.f64 z z)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64)))) (*.f64 z z)))
#s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y))
#s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 x (fma.f64 y (pow.f64 z #s(literal -2 binary64)) y)) (*.f64 z z)))
#s(approx (* (+ (* z z) 1) y) (*.f64 (*.f64 z z) y))
#s(approx (* (+ (* z z) 1) y) (*.f64 (fma.f64 y (pow.f64 z #s(literal -2 binary64)) y) (*.f64 z z)))
#s(approx (+ (* z z) 1) (*.f64 z z))
#s(approx (+ (* z z) 1) (fma.f64 z z #s(literal 1 binary64)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64))) (*.f64 z z)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64)))) (*.f64 z z)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64)))) (*.f64 z z)))
#s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 (*.f64 z z) x) y))
#s(approx (+ (* (* y z) (* z x)) (* y x)) (*.f64 (*.f64 x (fma.f64 y (pow.f64 z #s(literal -2 binary64)) y)) (*.f64 z z)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64))) (*.f64 z z)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64)))) (*.f64 z z)))
#s(approx (/ 1 (+ (* (* (* y x) z) z) (* y x))) (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -4 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) x) y) #s(literal -1 binary64)))) (*.f64 z z)))
#s(approx (/ 1 (+ (* z z) 1)) (pow.f64 z #s(literal -2 binary64)))
#s(approx (/ 1 (+ (* z z) 1)) (-.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 z #s(literal -4 binary64))))
#s(approx (/ 1 (+ (* z z) 1)) (/.f64 (-.f64 (-.f64 (pow.f64 z #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64))) (*.f64 z z)))
#s(approx (/ 1 (+ (* z z) 1)) (/.f64 (-.f64 (-.f64 (-.f64 (pow.f64 z #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -2 binary64))) (pow.f64 z #s(literal -6 binary64))) (*.f64 z z)))

eval65.0ms (1.8%)

Memory
14.3MiB live, 75.0MiB allocated; 9ms collecting garbage
Compiler

Compiled 8 366 to 1 391 computations (83.4% saved)

prune30.0ms (0.8%)

Memory
1.0MiB live, 47.3MiB allocated; 3ms collecting garbage
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New4977504
Fresh459
Picked235
Done011
Total50316519
Accuracy
99.7%
Counts
519 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(/.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
89.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) x)
49.4%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 x y))
48.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 y z) z)))
58.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
52.0%
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x))
96.1%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y x) z) z (*.f64 y x)))
97.5%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
31.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 z z) y) y)))
91.3%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
50.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
49.9%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
58.5%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
48.6%
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
58.4%
(*.f64 (pow.f64 (*.f64 #s(approx (* (+ (* z z) 1) y) y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (* (+ (* z z) 1) y) y) x) #s(literal -1/2 binary64)))
58.4%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ (* (* y z) z) y) y)))
Compiler

Compiled 444 to 318 computations (28.4% saved)

series56.0ms (1.5%)

Memory
-3.2MiB live, 41.5MiB allocated; 5ms collecting garbage
Counts
26 → 113
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
#s(literal 1 binary64)
(*.f64 (fma.f64 (*.f64 z y) z y) x)
(fma.f64 (*.f64 z y) z y)
(*.f64 z y)
z
y
x
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x))
#s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z)))
(*.f64 x y)
#s(approx (+ (* z z) 1) (*.f64 z z))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 y z) z)))
(/.f64 #s(literal 1 binary64) x)
#s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 y z) z))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(fma.f64 z z #s(literal 1 binary64))
Outputs
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (* x (+ y (* y (pow z 2))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (* (* x y) (+ (* z z) 1)) #s(hole binary64 (* x (* y (+ 1 (pow z 2))))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (* x (* y (+ 1 (pow z 2))))))
#s(approx (+ (* (* z y) z) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* (* y z) z) #s(hole binary64 (* y (pow z 2))))
#s(approx (* y z) #s(hole binary64 (* y z)))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (/ 1 (* y (+ 1 (pow z 2))))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (+ (* (* z y) z) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (* x y)))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx (+ (* (* z y) z) y) #s(hole binary64 y))
#s(approx (+ (* (* z y) z) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx z #s(hole binary64 z))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (+ 1 (* -1 (pow z 2)))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (+ 1 (* (pow z 2) (- (pow z 2) 1)))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)))))
#s(approx (- 1 (* z z)) #s(hole binary64 1))
#s(approx (- 1 (* z z)) #s(hole binary64 (+ 1 (* -1 (pow z 2)))))
#s(approx (* z z) #s(hole binary64 (pow z 2)))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* (* x y) (+ (* z z) 1)) #s(hole binary64 (* x y)))
#s(approx (* (* x y) (+ (* z z) 1)) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx (+ (* z z) 1) #s(hole binary64 1))
#s(approx (+ (* z z) 1) #s(hole binary64 (+ 1 (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 y))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (/ 1 y)))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (+ (* -1 (/ (pow z 2) y)) (/ 1 y))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (+ (* (* z y) z) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* z y) z) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ 1 (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow z 2))) (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))))
#s(approx (- 1 (* z z)) #s(hole binary64 (* -1 (pow z 2))))
#s(approx (- 1 (* z z)) #s(hole binary64 (* (pow z 2) (- (/ 1 (pow z 2)) 1))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* (* x y) (+ (* z z) 1)) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (* (* x y) (+ (* z z) 1)) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (+ (* z z) 1) #s(hole binary64 (pow z 2)))
#s(approx (+ (* z z) 1) #s(hole binary64 (* (pow z 2) (+ 1 (/ 1 (pow z 2))))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (/ 1 (* y (pow z 2)))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
Calls

9 calls:

TimeVariablePointExpression
36.0ms
y
@inf
((/ 1 (* (+ (* (* z y) z) y) x)) 1 (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (* z y) z y x (/ (/ 1 (+ (* z z) 1)) (* y x)) (/ 1 (+ (* z z) 1)) (- 1 (* z z)) (* z z) (* y x) (/ 1 (* (* x y) (+ (* z z) 1))) (* (* x y) (+ (* z z) 1)) (* x y) (+ (* z z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* (* y z) z) (* y z) (/ (/ 1 (* (+ (* z z) 1) y)) x) (/ 1 (* (+ (* z z) 1) y)) (* (+ (* z z) 1) y) (+ (* z z) 1))
4.0ms
y
@-inf
((/ 1 (* (+ (* (* z y) z) y) x)) 1 (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (* z y) z y x (/ (/ 1 (+ (* z z) 1)) (* y x)) (/ 1 (+ (* z z) 1)) (- 1 (* z z)) (* z z) (* y x) (/ 1 (* (* x y) (+ (* z z) 1))) (* (* x y) (+ (* z z) 1)) (* x y) (+ (* z z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* (* y z) z) (* y z) (/ (/ 1 (* (+ (* z z) 1) y)) x) (/ 1 (* (+ (* z z) 1) y)) (* (+ (* z z) 1) y) (+ (* z z) 1))
2.0ms
x
@-inf
((/ 1 (* (+ (* (* z y) z) y) x)) 1 (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (* z y) z y x (/ (/ 1 (+ (* z z) 1)) (* y x)) (/ 1 (+ (* z z) 1)) (- 1 (* z z)) (* z z) (* y x) (/ 1 (* (* x y) (+ (* z z) 1))) (* (* x y) (+ (* z z) 1)) (* x y) (+ (* z z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* (* y z) z) (* y z) (/ (/ 1 (* (+ (* z z) 1) y)) x) (/ 1 (* (+ (* z z) 1) y)) (* (+ (* z z) 1) y) (+ (* z z) 1))
2.0ms
z
@inf
((/ 1 (* (+ (* (* z y) z) y) x)) 1 (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (* z y) z y x (/ (/ 1 (+ (* z z) 1)) (* y x)) (/ 1 (+ (* z z) 1)) (- 1 (* z z)) (* z z) (* y x) (/ 1 (* (* x y) (+ (* z z) 1))) (* (* x y) (+ (* z z) 1)) (* x y) (+ (* z z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* (* y z) z) (* y z) (/ (/ 1 (* (+ (* z z) 1) y)) x) (/ 1 (* (+ (* z z) 1) y)) (* (+ (* z z) 1) y) (+ (* z z) 1))
2.0ms
z
@-inf
((/ 1 (* (+ (* (* z y) z) y) x)) 1 (* (+ (* (* z y) z) y) x) (+ (* (* z y) z) y) (* z y) z y x (/ (/ 1 (+ (* z z) 1)) (* y x)) (/ 1 (+ (* z z) 1)) (- 1 (* z z)) (* z z) (* y x) (/ 1 (* (* x y) (+ (* z z) 1))) (* (* x y) (+ (* z z) 1)) (* x y) (+ (* z z) 1) (/ (/ 1 x) (+ (* (* y z) z) y)) (/ 1 x) (+ (* (* y z) z) y) (* (* y z) z) (* y z) (/ (/ 1 (* (+ (* z z) 1) y)) x) (/ 1 (* (+ (* z z) 1) y)) (* (+ (* z z) 1) y) (+ (* z z) 1))

rewrite230.0ms (6.3%)

Memory
13.0MiB live, 205.6MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02632683
02882566
111112495
087952458
Stop Event
iter limit
node limit
iter limit
Counts
139 → 494
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
#s(literal 1 binary64)
(*.f64 (fma.f64 (*.f64 z y) z y) x)
(fma.f64 (*.f64 z y) z y)
(*.f64 z y)
z
y
x
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x))
#s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(-.f64 #s(literal 1 binary64) (*.f64 z z))
(*.f64 z z)
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z)))
(*.f64 x y)
#s(approx (+ (* z z) 1) (*.f64 z z))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 y z) z)))
(/.f64 #s(literal 1 binary64) x)
#s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 y z) z))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) y)
(fma.f64 z z #s(literal 1 binary64))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (* x (+ y (* y (pow z 2))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (* (* x y) (+ (* z z) 1)) #s(hole binary64 (* x (* y (+ 1 (pow z 2))))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x (+ y (* y (pow z 2)))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (* x (* y (+ 1 (pow z 2))))))
#s(approx (+ (* (* z y) z) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x (* y (+ 1 (pow z 2)))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (* (* y z) z) #s(hole binary64 (* y (pow z 2))))
#s(approx (* y z) #s(hole binary64 (* y z)))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (/ 1 (* y (+ 1 (pow z 2))))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* y (+ 1 (pow z 2)))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (* -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (+ (* (* z y) z) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ -1 (* x (* y (- (* -1 (pow z 2)) 1))))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* -1 (* y (- (* -1 (pow z 2)) 1)))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (* x y)))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx (+ (* (* z y) z) y) #s(hole binary64 y))
#s(approx (+ (* (* z y) z) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx z #s(hole binary64 z))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (+ 1 (* -1 (pow z 2)))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (+ 1 (* (pow z 2) (- (pow z 2) 1)))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (+ 1 (* (pow z 2) (- (* (pow z 2) (+ 1 (* -1 (pow z 2)))) 1)))))
#s(approx (- 1 (* z z)) #s(hole binary64 1))
#s(approx (- 1 (* z z)) #s(hole binary64 (+ 1 (* -1 (pow z 2)))))
#s(approx (* z z) #s(hole binary64 (pow z 2)))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (* (* x y) (+ (* z z) 1)) #s(hole binary64 (* x y)))
#s(approx (* (* x y) (+ (* z z) 1)) #s(hole binary64 (+ (* x y) (* x (* y (pow z 2))))))
#s(approx (+ (* z z) 1) #s(hole binary64 1))
#s(approx (+ (* z z) 1) #s(hole binary64 (+ 1 (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 y))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (/ 1 (* x y))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) (* x y)) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) (* x y))) (/ 1 (* x y)))) (/ 1 (* x y)))) (/ 1 (* x y)))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (/ 1 y)))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (+ (* -1 (/ (pow z 2) y)) (/ 1 y))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (+ (* (pow z 2) (- (/ (pow z 2) y) (/ 1 y))) (/ 1 y))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (+ (* (pow z 2) (- (* (pow z 2) (+ (* -1 (/ (pow z 2) y)) (/ 1 y))) (/ 1 y))) (/ 1 y))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 y))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (+ y (* y (pow z 2)))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (+ (* (* z y) z) y) x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (* (+ (* (* z y) z) y) x) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (+ (* (* z y) z) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* z y) z) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 (+ (* z z) 1)) (* y x)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ 1 (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ (- 1 (/ 1 (pow z 2))) (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow z 4))) (/ 1 (pow z 2))) (pow z 2))))
#s(approx (/ 1 (+ (* z z) 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow z 4))) (+ (/ 1 (pow z 2)) (/ 1 (pow z 6)))) (pow z 2))))
#s(approx (- 1 (* z z)) #s(hole binary64 (* -1 (pow z 2))))
#s(approx (- 1 (* z z)) #s(hole binary64 (* (pow z 2) (- (/ 1 (pow z 2)) 1))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ 1 (* (* x y) (+ (* z z) 1))) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (* (* x y) (+ (* z z) 1)) #s(hole binary64 (* x (* y (pow z 2)))))
#s(approx (* (* x y) (+ (* z z) 1)) #s(hole binary64 (* (pow z 2) (+ (* x y) (/ (* x y) (pow z 2))))))
#s(approx (+ (* z z) 1) #s(hole binary64 (pow z 2)))
#s(approx (+ (* z z) 1) #s(hole binary64 (* (pow z 2) (+ 1 (/ 1 (pow z 2))))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 x) (+ (* (* y z) z) y)) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (+ (* (* y z) z) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (/ 1 (* x (* y (pow z 2))))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (/ (- (/ 1 (* x y)) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (/ 1 (* x (* y (pow z 2))))) (pow z 2))))
#s(approx (/ (/ 1 (* (+ (* z z) 1) y)) x) #s(hole binary64 (/ (- (+ (/ 1 (* x y)) (/ 1 (* x (* y (pow z 4))))) (+ (/ 1 (* x (* y (pow z 2)))) (/ 1 (* x (* y (pow z 6)))))) (pow z 2))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (/ 1 (* y (pow z 2)))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (/ (- (/ 1 y) (/ 1 (* y (pow z 2)))) (pow z 2))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (/ 1 (* y (pow z 2)))) (pow z 2))))
#s(approx (/ 1 (* (+ (* z z) 1) y)) #s(hole binary64 (/ (- (+ (/ 1 y) (/ 1 (* y (pow z 4)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* y (pow z 6))))) (pow z 2))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* y (pow z 2))))
#s(approx (* (+ (* z z) 1) y) #s(hole binary64 (* (pow z 2) (+ y (/ y (pow z 2))))))
Outputs
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y))))
(*.f64 (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 z z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(pow.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 (fma.f64 z z #s(literal 1 binary64)))) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64))) (neg.f64 (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) y) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 (neg.f64 x) y))
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eval65.0ms (1.8%)

Memory
-9.5MiB live, 87.8MiB allocated; 20ms collecting garbage
Compiler

Compiled 7 608 to 1 309 computations (82.8% saved)

prune22.0ms (0.6%)

Memory
13.4MiB live, 58.7MiB allocated; 4ms collecting garbage
Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New4261427
Fresh077
Picked145
Done044
Total42716443
Accuracy
99.7%
Counts
443 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(/.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
50.1%
(/.f64 (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
49.4%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 x y))
48.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 y z) z)))
58.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
52.0%
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x))
96.1%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y x) z) z (*.f64 y x)))
97.5%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
31.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 z z) y) y)))
91.3%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
50.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
49.9%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
58.5%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
48.6%
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
58.4%
(*.f64 (pow.f64 (*.f64 #s(approx (* (+ (* z z) 1) y) y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (* (+ (* z z) 1) y) y) x) #s(literal -1/2 binary64)))
58.4%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ (* (* y z) z) y) y)))
Compiler

Compiled 759 to 315 computations (58.5% saved)

regimes91.0ms (2.5%)

Memory
-42.0MiB live, 152.8MiB allocated; 20ms collecting garbage
Counts
34 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
(/.f64 (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y x) z) z (*.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (* y z) z) y) (*.f64 (*.f64 y z) z)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (+ 1 (* z z)) (*.f64 z z))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* z z) 1) (*.f64 z z))) (*.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y z) z y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) y)) x)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))) (*.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
(/.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 z z #s(literal 1 binary64))) y)
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) y) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 y z) z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 y) y)) x) (-.f64 (*.f64 (*.f64 z z) y) y)))
(*.f64 (pow.f64 (*.f64 #s(approx (* (+ (* z z) 1) y) y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (* (+ (* z z) 1) y) y) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(approx (+ (* (* y z) z) y) y)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x) #s(literal -1/2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y x) z) z (*.f64 y x)))
Calls

8 calls:

12.0ms
z
11.0ms
x
11.0ms
(/.f64 #s(literal 1 binary64) x)
9.0ms
y
8.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
97.5%1(*.f64 z z)
97.5%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
97.5%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
97.5%1(/.f64 #s(literal 1 binary64) x)
97.5%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
97.5%1x
99.3%2y
97.5%1z
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes12.0ms (0.3%)

Memory
28.6MiB live, 28.6MiB allocated; 0ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
(/.f64 (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
Calls

3 calls:

4.0ms
y
4.0ms
(*.f64 z z)
3.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
97.5%1(*.f64 z z)
97.5%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
97.5%1y
Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes34.0ms (0.9%)

Memory
-25.7MiB live, 67.3MiB allocated; 4ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
(/.f64 (/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) y) x)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
Calls

8 calls:

5.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
5.0ms
z
4.0ms
x
4.0ms
(/.f64 #s(literal 1 binary64) x)
4.0ms
y
Results
AccuracySegmentsBranch
93.1%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
93.1%1(/.f64 #s(literal 1 binary64) x)
93.1%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
93.1%1x
95.0%2y
94.9%2z
94.9%2(*.f64 z z)
94.9%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes14.0ms (0.4%)

Memory
28.9MiB live, 28.9MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y))
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
Calls

4 calls:

4.0ms
z
4.0ms
y
3.0ms
(*.f64 z z)
3.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
94.9%2(*.f64 z z)
94.9%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
94.9%2z
93.1%1y
Compiler

Compiled 10 to 16 computations (-60% saved)

regimes47.0ms (1.3%)

Memory
-21.3MiB live, 30.0MiB allocated; 4ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) y) x))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y))
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
Calls

8 calls:

27.0ms
y
3.0ms
(/.f64 #s(literal 1 binary64) x)
3.0ms
z
3.0ms
x
3.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
81.6%2(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
62.2%3(/.f64 #s(literal 1 binary64) x)
79.6%2(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
62.2%3x
63.2%2y
94.1%3(*.f64 z z)
94.1%3(+.f64 #s(literal 1 binary64) (*.f64 z z))
94.1%3z
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes7.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
Calls

3 calls:

2.0ms
z
2.0ms
(*.f64 z z)
2.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
92.3%3z
92.3%3(*.f64 z z)
92.3%3(+.f64 #s(literal 1 binary64) (*.f64 z z))
Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes7.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x))
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
Outputs
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))
Calls

3 calls:

2.0ms
z
2.0ms
(*.f64 z z)
2.0ms
(+.f64 #s(literal 1 binary64) (*.f64 z z))
Results
AccuracySegmentsBranch
90.5%2(*.f64 z z)
90.5%2(+.f64 #s(literal 1 binary64) (*.f64 z z))
90.5%2z
Compiler

Compiled 9 to 13 computations (-44.4% saved)

regimes15.0ms (0.4%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
#s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
#s(approx (/ (pow (* y x) -1) (+ (* z z) 1)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x)))
(/.f64 #s(approx (/ 1 (+ (* z z) 1)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y x))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
Calls

8 calls:

2.0ms
y
2.0ms
(/.f64 #s(literal 1 binary64) x)
2.0ms
z
2.0ms
x
2.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Results
AccuracySegmentsBranch
58.5%1(/.f64 #s(literal 1 binary64) x)
58.5%1x
58.5%1y
58.5%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
58.5%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
58.5%1(*.f64 z z)
58.5%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
58.5%1z
Compiler

Compiled 32 to 40 computations (-25% saved)

regimes15.0ms (0.4%)

Memory
-26.4MiB live, 20.8MiB allocated; 1ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

8 calls:

8.0ms
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
1.0ms
(/.f64 #s(literal 1 binary64) x)
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
58.5%1(/.f64 #s(literal 1 binary64) x)
58.5%1(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z))))
58.5%1x
58.5%1y
58.5%1z
58.5%1(*.f64 z z)
58.5%1(+.f64 #s(literal 1 binary64) (*.f64 z z))
58.5%1(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z z)))
Compiler

Compiled 32 to 40 computations (-25% saved)

bsearch10.0ms (0.3%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
9.0ms
5.879302291288373e-60
3.9543544928296486e-58
Samples
5.0ms96×0valid
Compiler

Compiled 158 to 129 computations (18.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (33.3% of total)
ival-mult: 1.0ms (33.3% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
5.879302291288373e-60
3.9543544928296486e-58
Compiler

Compiled 54 to 51 computations (5.6% saved)

bsearch4.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
2.2637647233705072e+160
2.6258912383164544e+162
Samples
2.0ms32×0valid
Compiler

Compiled 72 to 63 computations (12.5% saved)

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

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.7190958598175764e+301
+inf
0.0ms
1.0020807677039054
20.632579591929893
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.7190958598175764e+301
+inf
0.0ms
1.0020807677039054
20.632579591929893
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch16.0ms (0.4%)

Memory
-22.5MiB live, 20.3MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.04561543273833294
4.430866686318817
Samples
10.0ms112×0valid
Compiler

Compiled 294 to 232 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (54.8% of total)
ival-add: 1.0ms (27.4% of total)
ival-mult: 1.0ms (27.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify52.0ms (1.4%)

Memory
13.8MiB live, 55.4MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076309
1109309
2191309
3440309
41703309
55412309
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 1236792945344869/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y x) z) z (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
(if (<=.f64 y #s(literal 2826955303645415/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))))
(if (<=.f64 z #s(literal 40000000000000000261136309802729062273826568595545068473795378182082047111352724570041350039955468143265369880748703140775000470594174121424738194601753125584896 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 2 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y)) (/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 2 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))))
(if (<=.f64 z #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
Outputs
(if (<=.f64 y #s(literal 1236792945344869/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y x) z) z (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y z) (*.f64 z x) (*.f64 y x)))
(if (<=.f64 y #s(literal 2826955303645415/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) z y) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 y x))))
(if (<=.f64 z #s(literal 40000000000000000261136309802729062273826568595545068473795378182082047111352724570041350039955468143265369880748703140775000470594174121424738194601753125584896 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 2 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* z z) 1) (*.f64 z z)) x) y)) (/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 2 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (if (<=.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 50000000000000003814851539542447462673673427575328405850800867103105690144062897242071094482345892038319873788569274380686105193922399969145907805675259915375083824928244490813268184047707303657117575529186729493445412577829531808857931602641311195254642091719929308551541867836924949602285249078755328 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(approx (+ (* z z) 1) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x)))))
(if (<=.f64 z #s(literal 7746191359077253/9007199254740992 binary64)) #s(approx (/ (/ 1 x) (* y (+ 1 (* z z)))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 y x))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (+ (* z z) 1) y) x) (*.f64 (*.f64 (*.f64 y z) z) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (* y (+ 1 (* z z))) y))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* (* y z) z) y) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* y (+ 1 (* z z))) y) x))

derivations475.0ms (12.9%)

Memory
-48.9MiB live, 409.6MiB allocated; 158ms collecting garbage
Stop Event
fuel
Compiler

Compiled 309 to 73 computations (76.4% saved)

preprocess311.0ms (8.5%)

Memory
41.2MiB live, 463.4MiB allocated; 93ms collecting garbage
Remove

(abs z)

Compiler

Compiled 1 530 to 622 computations (59.3% saved)

end0.0ms (0%)

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

Profiling

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