fabs fraction 1

Time bar (total: 3.9s)

start0.0ms (0%)

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

analyze70.0ms (1.8%)

Memory
-9.4MiB live, 33.1MiB allocated; 12ms 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
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.1s (26.9%)

Memory
25.6MiB live, 875.8MiB allocated; 146ms collecting garbage
Samples
584.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 356.0ms
ival-div: 146.0ms (41.1% of total)
ival-add: 60.0ms (16.9% of total)
ival-mult: 57.0ms (16% of total)
ival-fabs: 41.0ms (11.5% of total)
ival-sub: 39.0ms (11% of total)
exact: 7.0ms (2% of total)
ival-assert: 3.0ms (0.8% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain134.0ms (3.4%)

Memory
10.4MiB live, 103.2MiB allocated; 10ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
240-3(6.503059074825225e-295 -1.0826377459261216e+21 -5.685772744782534e+176)(*.f64 (/.f64 x y) z)
130-0-(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
00-0-(/.f64 x y)
00-0-z
00-0-#s(literal 4 binary64)
00-0-(+.f64 x #s(literal 4 binary64))
00-0-y
00-0-(/.f64 (+.f64 x #s(literal 4 binary64)) y)
00-0-(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))nan-rescue130
(/.f64 (+.f64 x #s(literal 4 binary64)) y)overflow35
(/.f64 x y)overflow35
(*.f64 (/.f64 x y) z)overflow47
*.f64(*.f64 (/.f64 x y) z)n*o110
*.f64(*.f64 (/.f64 x y) z)n*u90
Confusion
Predicted +Predicted -
+231
-10222
Precision
0.696969696969697
Recall
0.9583333333333334
Confusion?
Predicted +Predicted MaybePredicted -
+2301
-100222
Precision?
0.696969696969697
Recall?
0.9583333333333334
Freqs
test
numberfreq
0223
133
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
42.0ms512×0valid
Compiler

Compiled 102 to 34 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 8.0ms (39.5% of total)
ival-add: 3.0ms (14.8% of total)
ival-fabs: 3.0ms (14.8% of total)
ival-mult: 3.0ms (14.8% of total)
ival-sub: 2.0ms (9.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess234.0ms (6%)

Memory
-15.0MiB live, 220.3MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047131
1137124
2359110
31333107
01012
01612
12912
26412
319511
4105410
5689010
085549
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) z) x #s(literal -4 binary64)) y))
Symmetry

(abs y)

Compiler

Compiled 12 to 10 computations (16.7% 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
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.1%
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

series17.0ms (0.4%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Counts
10 → 29
Calls
Call 1
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(+.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
y
(*.f64 (/.f64 x y) z)
(/.f64 x y)
z
Outputs
#s(approx (fabs (- (/ (+ x 4) y) (* (/ x y) z))) #s(hole binary64 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (/ 4 y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))))
#s(approx (/ (+ x 4) y) #s(hole binary64 (/ 4 y)))
#s(approx (/ (+ x 4) y) #s(hole binary64 (+ (* 4 (/ 1 y)) (/ x y))))
#s(approx (+ x 4) #s(hole binary64 4))
#s(approx (+ x 4) #s(hole binary64 (+ 4 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ x y) z) #s(hole binary64 (/ (* x z) y)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* x (- (/ 1 y) (/ z y)))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))))
#s(approx (/ (+ x 4) y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ x 4) y) #s(hole binary64 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
#s(approx (+ x 4) #s(hole binary64 x))
#s(approx (+ x 4) #s(hole binary64 (* x (+ 1 (* 4 (/ 1 x))))))
#s(approx (fabs (- (/ (+ x 4) y) (* (/ x y) z))) #s(hole binary64 (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* x (+ (* -1 (/ z y)) (/ 1 y)))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (/ (- (+ 4 x) (* x z)) y)))
#s(approx (/ (+ x 4) y) #s(hole binary64 (/ (+ 4 x) y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (+ (* 4 (/ 1 y)) (/ x y))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))))
#s(approx z #s(hole binary64 z))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (+ x 4) y) (+ x 4) x 4 y (* (/ x y) z) (/ x y) z)
3.0ms
x
@-inf
((fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (+ x 4) y) (+ x 4) x 4 y (* (/ x y) z) (/ x y) z)
2.0ms
x
@inf
((fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (+ x 4) y) (+ x 4) x 4 y (* (/ x y) z) (/ x y) z)
2.0ms
x
@0
((fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (+ x 4) y) (+ x 4) x 4 y (* (/ x y) z) (/ x y) z)
2.0ms
y
@0
((fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (+ x 4) y) (+ x 4) x 4 y (* (/ x y) z) (/ x y) z)

rewrite259.0ms (6.6%)

Memory
-26.2MiB live, 146.1MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101550
0110454
1546440
25415440
08229433
Stop Event
iter limit
node limit
iter limit
Counts
39 → 247
Calls
Call 1
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(+.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
y
(*.f64 (/.f64 x y) z)
(/.f64 x y)
z
#s(approx (fabs (- (/ (+ x 4) y) (* (/ x y) z))) #s(hole binary64 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (/ 4 y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))))
#s(approx (/ (+ x 4) y) #s(hole binary64 (/ 4 y)))
#s(approx (/ (+ x 4) y) #s(hole binary64 (+ (* 4 (/ 1 y)) (/ x y))))
#s(approx (+ x 4) #s(hole binary64 4))
#s(approx (+ x 4) #s(hole binary64 (+ 4 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ x y) z) #s(hole binary64 (/ (* x z) y)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* x (- (/ 1 y) (/ z y)))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))))
#s(approx (/ (+ x 4) y) #s(hole binary64 (/ x y)))
#s(approx (/ (+ x 4) y) #s(hole binary64 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
#s(approx (+ x 4) #s(hole binary64 x))
#s(approx (+ x 4) #s(hole binary64 (* x (+ 1 (* 4 (/ 1 x))))))
#s(approx (fabs (- (/ (+ x 4) y) (* (/ x y) z))) #s(hole binary64 (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* x (+ (* -1 (/ z y)) (/ 1 y)))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (/ (- (+ 4 x) (* x z)) y)))
#s(approx (/ (+ x 4) y) #s(hole binary64 (/ (+ 4 x) y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (+ (* 4 (/ 1 y)) (/ x y))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))))
#s(approx z #s(hole binary64 z))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y))) (sqrt.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y))))
(pow.f64 (pow.f64 (/.f64 (-.f64 (*.f64 z x) (-.f64 x #s(literal -4 binary64))) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y)) #s(literal 1 binary64))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 x #s(literal -4 binary64))) y)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (*.f64 (/.f64 x y) z) (/.f64 (fma.f64 z x (-.f64 x #s(literal -4 binary64))) y) (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x))) (fabs.f64 (neg.f64 y)))
(/.f64 (fabs.f64 (neg.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)))) (fabs.f64 y))
(/.f64 (fabs.f64 (pow.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) #s(literal 2 binary64))) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)))
(/.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y))))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 z x) (-.f64 x #s(literal -4 binary64))) y) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (/.f64 (-.f64 (*.f64 z x) (-.f64 x #s(literal -4 binary64))) y)))
(fabs.f64 (/.f64 (-.f64 (*.f64 z x) (-.f64 x #s(literal -4 binary64))) y))
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) x #s(literal 4 binary64)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 (fma.f64 (neg.f64 z) x #s(literal 4 binary64)) y) (/.f64 x y)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 3 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (/.f64 #s(literal -4 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) x #s(literal 4 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) x #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (fma.f64 (neg.f64 z) x #s(literal 4 binary64)) y) (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (neg.f64 z) x) (-.f64 x #s(literal -4 binary64))) y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64))))) (neg.f64 (/.f64 (-.f64 (*.f64 z x) (-.f64 x #s(literal -4 binary64))) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y) #s(literal 2 binary64))) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 z x (-.f64 x #s(literal -4 binary64))) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 x y) z) (/.f64 (fma.f64 z x (-.f64 x #s(literal -4 binary64))) y) (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 2 binary64)))))
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(-.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) z)))
(-.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) (*.f64 (/.f64 x y) z))
(+.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)) (/.f64 (neg.f64 x) y))
(+.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (neg.f64 x) y)) (*.f64 (/.f64 x y) z))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) (/.f64 (fma.f64 z x (-.f64 x #s(literal -4 binary64))) y) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) (/.f64 (fma.f64 z x (-.f64 x #s(literal -4 binary64))) y) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (fma.f64 (neg.f64 z) x #s(literal 4 binary64)) y) (/.f64 x y))
(+.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (/.f64 #s(literal 4 binary64) y))
(+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))
(+.f64 (/.f64 x y) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
(+.f64 (/.f64 x y) (/.f64 (fma.f64 (neg.f64 z) x #s(literal 4 binary64)) y))
(+.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) (*.f64 (neg.f64 z) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(*.f64 (-.f64 x #s(literal -4 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)))) (-.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64))) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) (/.f64 (-.f64 #s(literal 4 binary64) x) y))) (neg.f64 (/.f64 (-.f64 #s(literal 4 binary64) x) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y))))))
(/.f64 (-.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 x) y)) (*.f64 y y))
(/.f64 (fma.f64 #s(literal -4 binary64) (neg.f64 y) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 y y))
(/.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 y) y))
(/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 y) (*.f64 (neg.f64 x) y)) (*.f64 y (neg.f64 y)))
(/.f64 (fma.f64 #s(literal 4 binary64) y (*.f64 y x)) (*.f64 y y))
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -4 binary64))) (*.f64 y y))
(/.f64 (fma.f64 (neg.f64 x) y (*.f64 (neg.f64 y) #s(literal 4 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (fma.f64 (neg.f64 x) y (*.f64 y #s(literal -4 binary64))) (*.f64 y (neg.f64 y)))
(/.f64 (fma.f64 y x (*.f64 y #s(literal 4 binary64))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 4 binary64) (neg.f64 x)) y)
(/.f64 (neg.f64 (-.f64 #s(literal -4 binary64) x)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) (/.f64 (-.f64 #s(literal 4 binary64) x) y)) (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (neg.f64 x) y)))
(/.f64 (*.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) (/.f64 (-.f64 #s(literal 4 binary64) x) y)) (/.f64 (-.f64 #s(literal 4 binary64) x) y))
(/.f64 (fma.f64 x x #s(literal -16 binary64)) (*.f64 (-.f64 x #s(literal 4 binary64)) y))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 4 binary64) x) y))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) x))) y))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)) y))
(/.f64 (-.f64 #s(literal -4 binary64) x) (neg.f64 y))
(/.f64 (-.f64 x #s(literal -4 binary64)) y)
(neg.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y) (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y) (/.f64 x y))
(fma.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64) (/.f64 x y))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x (/.f64 #s(literal 4 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (/.f64 #s(literal 4 binary64) y))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 4 binary64) x) y)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 4 binary64) x) y)))
(-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 x y) (*.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal 4 binary64)))
(-.f64 (/.f64 x y) (/.f64 #s(literal -4 binary64) y))
(+.f64 (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y))))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y))))))
(+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 x y))
(+.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -16 binary64))) (neg.f64 (-.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 4 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))))
(/.f64 (fma.f64 x x #s(literal -16 binary64)) (-.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x x)) (-.f64 #s(literal 4 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 x x (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 x (-.f64 x #s(literal 4 binary64)) #s(literal 16 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) x)))
(-.f64 x #s(literal -4 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) x)))) (/.f64 #s(literal 64 binary64) (fma.f64 x x (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) x)))))
(+.f64 (/.f64 #s(literal 64 binary64) (fma.f64 x (-.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))))
(+.f64 #s(literal 4 binary64) x)
(+.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
y
(*.f64 (neg.f64 x) (/.f64 (neg.f64 z) y))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y)))
(*.f64 (/.f64 z y) x)
(*.f64 (*.f64 z x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 (neg.f64 z) x) (neg.f64 y))
(/.f64 (*.f64 z x) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 z x) y)
(neg.f64 (*.f64 (neg.f64 z) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x (neg.f64 (neg.f64 y)))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
z
#s(approx (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y)))
#s(approx (/ (+ x 4) y) (/.f64 #s(literal 4 binary64) y))
#s(approx (/ (+ x 4) y) (/.f64 (-.f64 x #s(literal -4 binary64)) y))
#s(approx (+ x 4) #s(literal 4 binary64))
#s(approx (+ x 4) (-.f64 x #s(literal -4 binary64)))
#s(approx x x)
#s(approx (* (/ x y) z) (*.f64 (/.f64 x y) z))
#s(approx (/ x y) (/.f64 x y))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x))
#s(approx (/ (+ x 4) y) (/.f64 x y))
#s(approx (/ (+ x 4) y) (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) x (/.f64 x y)))
#s(approx (+ x 4) x)
#s(approx (+ x 4) (fma.f64 (/.f64 #s(literal 4 binary64) x) x x))
#s(approx (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal -4 binary64) (*.f64 y x))) x))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y)))
#s(approx (/ (+ x 4) y) (/.f64 (-.f64 x #s(literal -4 binary64)) y))
#s(approx y y)
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (-.f64 x #s(literal -4 binary64)) y))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y)))
#s(approx z z)
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) z) y) (/.f64 x y)) z))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) z) (/.f64 x y))))

eval27.0ms (0.7%)

Memory
-16.0MiB live, 30.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 147 to 907 computations (82.4% saved)

prune352.0ms (9%)

Memory
12.1MiB live, 303.0MiB allocated; 11ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2377244
Fresh000
Picked101
Done000
Total2387245
Accuracy
100.0%
Counts
245 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.4%
(*.f64 (pow.f64 (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) #s(literal 1/2 binary64)))
96.9%
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))))
92.1%
(fabs.f64 (fma.f64 (/.f64 (neg.f64 z) y) x (/.f64 (-.f64 x #s(literal -4 binary64)) y)))
93.1%
(fabs.f64 (fma.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 x #s(literal -4 binary64)) y)))
61.5%
(fabs.f64 (/.f64 (fma.f64 (-.f64 x #s(literal -4 binary64)) y (*.f64 y (*.f64 (neg.f64 z) x))) (*.f64 y y)))
60.2%
(fabs.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 (fma.f64 z x (-.f64 x #s(literal -4 binary64))) y)))
28.3%
(fabs.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 3 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (/.f64 #s(literal -4 binary64) y))))))
Compiler

Compiled 286 to 194 computations (32.2% saved)

series20.0ms (0.5%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Counts
12 → 31
Calls
Call 1
Inputs
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
(pow.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
x
(-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(*.f64 (/.f64 x y) z)
(/.f64 x y)
z
Outputs
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z)))) #s(hole binary64 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (/ 4 y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (/ 4 y)))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))))
#s(approx (* (/ x y) z) #s(hole binary64 (/ (* x z) y)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* x (- (/ 1 y) (/ z y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (* x (- (* 4 (/ 1 (* x y))) (/ z y)))))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z)))) #s(hole binary64 (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* x (+ (* -1 (/ z y)) (/ 1 y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y)))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (/ (- (+ 4 x) (* x z)) y)))
#s(approx (pow y -1) #s(hole binary64 (/ 1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (/ (- 4 (* x z)) y)))
#s(approx (/ 4 y) #s(hole binary64 (/ 4 y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* -1 (/ (- (* -1 x) (+ 4 (* -1 (* x z)))) y))))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (/ (+ 4 (* -1 (* x z))) y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (+ (* 4 (/ 1 y)) (/ x y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (* z (- (* 4 (/ 1 (* y z))) (/ x y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z)))))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (pow y -1) y -1 x (- (/ 4 y) (* (/ x y) z)) (/ 4 y) 4 (* (/ x y) z) (/ x y) z)
2.0ms
y
@0
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (pow y -1) y -1 x (- (/ 4 y) (* (/ x y) z)) (/ 4 y) 4 (* (/ x y) z) (/ x y) z)
2.0ms
x
@-inf
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (pow y -1) y -1 x (- (/ 4 y) (* (/ x y) z)) (/ 4 y) 4 (* (/ x y) z) (/ x y) z)
2.0ms
z
@-inf
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (pow y -1) y -1 x (- (/ 4 y) (* (/ x y) z)) (/ 4 y) 4 (* (/ x y) z) (/ x y) z)
2.0ms
x
@inf
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (pow y -1) y -1 x (- (/ 4 y) (* (/ x y) z)) (/ 4 y) 4 (* (/ x y) z) (/ x y) z)

rewrite300.0ms (7.7%)

Memory
-12.7MiB live, 172.2MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114715
0123597
1627525
26494525
08884525
Stop Event
iter limit
node limit
iter limit
Counts
43 → 289
Calls
Call 1
Inputs
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))
(pow.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
x
(-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(*.f64 (/.f64 x y) z)
(/.f64 x y)
z
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z)))) #s(hole binary64 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (/ 4 y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (/ 4 y)))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))))
#s(approx (* (/ x y) z) #s(hole binary64 (/ (* x z) y)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* x (- (/ 1 y) (/ z y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (* x (- (* 4 (/ 1 (* x y))) (/ z y)))))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z)))) #s(hole binary64 (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* x (+ (* -1 (/ z y)) (/ 1 y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y)))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (/ (- (+ 4 x) (* x z)) y)))
#s(approx (pow y -1) #s(hole binary64 (/ 1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (/ (- 4 (* x z)) y)))
#s(approx (/ 4 y) #s(hole binary64 (/ 4 y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* -1 (/ (- (* -1 x) (+ 4 (* -1 (* x z)))) y))))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (/ (+ 4 (* -1 (* x z))) y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (+ (* 4 (/ 1 y)) (/ x y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (* z (- (* 4 (/ 1 (* y z))) (/ x y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))))
#s(approx (- (/ 4 y) (* (/ x y) z)) #s(hole binary64 (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z)))))))
Outputs
(*.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)) (sqrt.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)))
(pow.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y) #s(literal 1 binary64))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)) #s(literal 2 binary64)))) (fabs.f64 (-.f64 (/.f64 x y) (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)) (-.f64 (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 4 binary64) y))))
(/.f64 (fabs.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64))) (pow.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) z)) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 4 binary64) y))))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 x #s(literal -4 binary64)) y))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 z y) x (/.f64 (-.f64 x #s(literal -4 binary64)) y)) (pow.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -4 binary64) y)) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -4 binary64) y))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y))))
(fabs.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -4 binary64) y)))
(fabs.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)))
(fabs.f64 (/.f64 (-.f64 (neg.f64 x) (fma.f64 (neg.f64 x) z #s(literal 4 binary64))) (neg.f64 y)))
(fabs.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)) (/.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 3 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (/.f64 #s(literal -4 binary64) y)))))
(/.f64 (+.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 x)) (neg.f64 y))
(/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 x y) (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)) (-.f64 (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64))))) (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x (/.f64 #s(literal -4 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 x #s(literal -4 binary64)) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 z y) x (/.f64 (-.f64 x #s(literal -4 binary64)) y)) (pow.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 4 binary64) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64))) (pow.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) z)) (fma.f64 (/.f64 x y) (+.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 4 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) x (-.f64 x #s(literal -4 binary64))))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) z) #s(literal 4 binary64)) y) (/.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) y) (fma.f64 (/.f64 z y) x (/.f64 (-.f64 x #s(literal -4 binary64)) y)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -4 binary64)) y) (*.f64 (*.f64 z y) x)) (*.f64 y y))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -4 binary64)) (neg.f64 y)) (*.f64 y (*.f64 (neg.f64 x) z))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 y)) (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) x) y) (*.f64 (neg.f64 x) z))) (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) x) y) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) y) (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) x) y) (*.f64 z x))) (*.f64 (/.f64 (-.f64 #s(literal 4 binary64) x) y) y))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (neg.f64 y)) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y)))) (*.f64 (neg.f64 x) z))) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y)))) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal -3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) y) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y)))) (*.f64 z x))) (*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y)))) y))
(/.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) z))) (*.f64 (neg.f64 y) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64))))) (*.f64 (neg.f64 y) (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) z))))
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#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) (/.f64 #s(literal -4 binary64) (*.f64 x y))) x))
#s(approx (- (/ 4 y) (* (/ x y) z)) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y))
#s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))
#s(approx y y)
#s(approx (- (/ 4 y) (* (/ x y) z)) (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)))
#s(approx (/ 4 y) (/.f64 #s(literal 4 binary64) y))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (/.f64 (-.f64 (neg.f64 x) (fma.f64 (neg.f64 x) z #s(literal 4 binary64))) (neg.f64 y)))
#s(approx (- (/ 4 y) (* (/ x y) z)) (/.f64 (fma.f64 z x #s(literal -4 binary64)) (neg.f64 y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (/.f64 (-.f64 x #s(literal -4 binary64)) y))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y))
#s(approx z z)
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (*.f64 (neg.f64 z) (/.f64 x y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) z) y) (/.f64 x y)) z))
#s(approx (- (/ 4 y) (* (/ x y) z)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) z) (/.f64 x y)) z))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (/ x y) z))) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (/.f64 (-.f64 x #s(literal -4 binary64)) z) y) #s(literal -1 binary64) (/.f64 x y))))
#s(approx (- (/ 4 y) (* (/ x y) z)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) z) (/.f64 x y)) z))

eval51.0ms (1.3%)

Memory
-5.1MiB live, 41.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 6 692 to 1 118 computations (83.3% saved)

prune576.0ms (14.7%)

Memory
3.5MiB live, 423.4MiB allocated; 76ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2834287
Fresh426
Picked011
Done000
Total2877294
Accuracy
100.0%
Counts
294 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.4%
(*.f64 (pow.f64 (fabs.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)) #s(literal 1/2 binary64)))
29.5%
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 z) (/.f64 x y)) #s(literal 3 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (/.f64 #s(literal -4 binary64) y)))))))
68.8%
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 (fma.f64 z x #s(literal 4 binary64)) y))))
96.9%
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))))
96.8%
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))))
92.1%
(fabs.f64 (fma.f64 (/.f64 (neg.f64 z) y) x (/.f64 (-.f64 x #s(literal -4 binary64)) y)))
93.1%
(fabs.f64 (fma.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 x #s(literal -4 binary64)) y)))
Compiler

Compiled 285 to 198 computations (30.5% saved)

series35.0ms (0.9%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Counts
15 → 38
Calls
Call 1
Inputs
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z)))
(pow.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
x
(-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(pow.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)
z
Outputs
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) #s(hole binary64 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (/ 4 y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (/ 4 y)))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))))
#s(approx (* (* (pow y -1/2) (* (pow y -1/2) x)) z) #s(hole binary64 (/ (* x z) y)))
#s(approx (* (pow y -1/2) (* (pow y -1/2) x)) #s(hole binary64 (/ x y)))
#s(approx (* (pow y -1/2) x) #s(hole binary64 (* x (sqrt (/ 1 y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (- (/ 1 y) (/ z y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (* x (- (* 4 (/ 1 (* x y))) (/ z y)))))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) #s(hole binary64 (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (+ (* -1 (/ z y)) (/ 1 y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y)))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (/ (- (+ 4 x) (* x z)) y)))
#s(approx (pow y -1) #s(hole binary64 (/ 1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (/ (- 4 (* x z)) y)))
#s(approx (/ 4 y) #s(hole binary64 (/ 4 y)))
#s(approx (pow y -1/2) #s(hole binary64 (sqrt (/ 1 y))))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) #s(hole binary64 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (* -1 (/ (* x (* z (pow (sqrt -1) 2))) y))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* -1 (/ (- (* -1 x) (+ 4 (* x (* z (pow (sqrt -1) 2))))) y))))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (/ (+ 4 (* x (* z (pow (sqrt -1) 2)))) y)))
#s(approx (* (* (pow y -1/2) (* (pow y -1/2) x)) z) #s(hole binary64 (* -1 (/ (* x (* z (pow (sqrt -1) 2))) y))))
#s(approx (* (pow y -1/2) (* (pow y -1/2) x)) #s(hole binary64 (* -1 (/ (* x (pow (sqrt -1) 2)) y))))
#s(approx (pow y -1/2) #s(hole binary64 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
#s(approx (* (pow y -1/2) x) #s(hole binary64 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (+ (* 4 (/ 1 y)) (/ x y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (* z (- (* 4 (/ 1 (* y z))) (/ x y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z)))))))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
y
@-inf
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (pow y -1) y -1 x (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (/ 4 y) 4 (* (* (pow y -1/2) (* (pow y -1/2) x)) z) (* (pow y -1/2) (* (pow y -1/2) x)) (pow y -1/2) -1/2 (* (pow y -1/2) x) z)
4.0ms
y
@0
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (pow y -1) y -1 x (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (/ 4 y) 4 (* (* (pow y -1/2) (* (pow y -1/2) x)) z) (* (pow y -1/2) (* (pow y -1/2) x)) (pow y -1/2) -1/2 (* (pow y -1/2) x) z)
4.0ms
x
@-inf
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (pow y -1) y -1 x (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (/ 4 y) 4 (* (* (pow y -1/2) (* (pow y -1/2) x)) z) (* (pow y -1/2) (* (pow y -1/2) x)) (pow y -1/2) -1/2 (* (pow y -1/2) x) z)
3.0ms
x
@0
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (pow y -1) y -1 x (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (/ 4 y) 4 (* (* (pow y -1/2) (* (pow y -1/2) x)) z) (* (pow y -1/2) (* (pow y -1/2) x)) (pow y -1/2) -1/2 (* (pow y -1/2) x) z)
3.0ms
y
@inf
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (pow y -1) y -1 x (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (/ 4 y) 4 (* (* (pow y -1/2) (* (pow y -1/2) x)) z) (* (pow y -1/2) (* (pow y -1/2) x)) (pow y -1/2) -1/2 (* (pow y -1/2) x) z)

rewrite80.0ms (2%)

Memory
-26.3MiB live, 25.8MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01421055
0157839
0742835
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
53 → 83
Calls
Call 1
Inputs
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z)))
(pow.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
x
(-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(pow.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)
z
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) #s(hole binary64 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (/ 4 y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (/ 4 y)))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))))
#s(approx (* (* (pow y -1/2) (* (pow y -1/2) x)) z) #s(hole binary64 (/ (* x z) y)))
#s(approx (* (pow y -1/2) (* (pow y -1/2) x)) #s(hole binary64 (/ x y)))
#s(approx (* (pow y -1/2) x) #s(hole binary64 (* x (sqrt (/ 1 y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (- (/ 1 y) (/ z y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (* x (- (* 4 (/ 1 (* x y))) (/ z y)))))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) #s(hole binary64 (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (+ (* -1 (/ z y)) (/ 1 y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y)))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (/ (- (+ 4 x) (* x z)) y)))
#s(approx (pow y -1) #s(hole binary64 (/ 1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (/ (- 4 (* x z)) y)))
#s(approx (/ 4 y) #s(hole binary64 (/ 4 y)))
#s(approx (pow y -1/2) #s(hole binary64 (sqrt (/ 1 y))))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) #s(hole binary64 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (* -1 (/ (* x (* z (pow (sqrt -1) 2))) y))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* -1 (/ (- (* -1 x) (+ 4 (* x (* z (pow (sqrt -1) 2))))) y))))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (/ (+ 4 (* x (* z (pow (sqrt -1) 2)))) y)))
#s(approx (* (* (pow y -1/2) (* (pow y -1/2) x)) z) #s(hole binary64 (* -1 (/ (* x (* z (pow (sqrt -1) 2))) y))))
#s(approx (* (pow y -1/2) (* (pow y -1/2) x)) #s(hole binary64 (* -1 (/ (* x (pow (sqrt -1) 2)) y))))
#s(approx (pow y -1/2) #s(hole binary64 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
#s(approx (* (pow y -1/2) x) #s(hole binary64 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (+ (* 4 (/ 1 y)) (/ x y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (* z (- (* 4 (/ 1 (* y z))) (/ x y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) #s(hole binary64 (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z)))))))
Outputs
(sqrt.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))) (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))))
(fabs.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))))
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (*.f64 (pow.f64 y #s(literal -1 binary64)) x)) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))) (-.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))
(fma.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))
(-.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))
(+.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)) (*.f64 (pow.f64 y #s(literal -1 binary64)) x))
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
y
#s(literal -1 binary64)
x
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))) (+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 4 binary64) y) (fma.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z) (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x)) z))
(fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x)) z))
(-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))
(+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x)) z))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -4 binary64) (neg.f64 y))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)
(*.f64 z (*.f64 (pow.f64 y #s(literal -1 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) z))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)
(*.f64 x (pow.f64 y #s(literal -1/2 binary64)))
z
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (fabs.f64 (-.f64 (/.f64 (*.f64 z x) y) (+.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (/.f64 #s(literal 4 binary64) y))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x (/.f64 #s(literal 4 binary64) y)))
#s(approx x x)
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (/.f64 #s(literal 4 binary64) y))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (fma.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) y)))
#s(approx (* (* (pow y -1/2) (* (pow y -1/2) x)) z) (/.f64 (*.f64 z x) y))
#s(approx (* (pow y -1/2) (* (pow y -1/2) x)) (/.f64 x y))
#s(approx (* (pow y -1/2) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) (pow.f64 y #s(literal -1 binary64))) (/.f64 z y)) x))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (neg.f64 (/.f64 (*.f64 z x) y)))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) (/.f64 z y)) x))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (fabs.f64 (-.f64 (fma.f64 x (/.f64 z y) (/.f64 (neg.f64 x) y)) (/.f64 #s(literal 4 binary64) y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) x))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) (pow.f64 y #s(literal -1 binary64)))) x))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x y))) x))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 z x)) y))
#s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))
#s(approx y y)
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 z x)) y))
#s(approx (/ 4 y) (/.f64 #s(literal 4 binary64) y))
#s(approx (pow y -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (fabs.f64 (-.f64 (neg.f64 (*.f64 x (neg.f64 (/.f64 z y)))) (+.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (neg.f64 (/.f64 (-.f64 (neg.f64 x) (fma.f64 (*.f64 z #s(literal -1 binary64)) x #s(literal 4 binary64))) y)))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (/.f64 (fma.f64 (*.f64 z #s(literal -1 binary64)) x #s(literal 4 binary64)) y))
#s(approx (* (* (pow y -1/2) (* (pow y -1/2) x)) z) (neg.f64 (*.f64 x (neg.f64 (/.f64 z y)))))
#s(approx (* (pow y -1/2) (* (pow y -1/2) x)) (neg.f64 (/.f64 (neg.f64 x) y)))
#s(approx (pow y -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)))
#s(approx (* (pow y -1/2) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (+.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (fma.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64) (+.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y))))
#s(approx z z)
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (neg.f64 (/.f64 (*.f64 z x) y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 z y)) (/.f64 x y)) z))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) z) (/.f64 x y)) z))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 z y))) (/.f64 (neg.f64 x) y)) z)))
#s(approx (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) z)) z))

eval24.0ms (0.6%)

Memory
29.9MiB live, 29.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 551 to 391 computations (84.7% saved)

prune151.0ms (3.8%)

Memory
-19.5MiB live, 75.5MiB allocated; 4ms collecting garbage
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New95297
Fresh235
Picked011
Done011
Total977104
Accuracy
100.0%
Counts
104 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.4%
(*.f64 (pow.f64 (fabs.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)) #s(literal 1/2 binary64)))
68.8%
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 (fma.f64 z x #s(literal 4 binary64)) y))))
96.9%
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))))
96.8%
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))))
96.8%
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))))
93.1%
(fabs.f64 (fma.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 x #s(literal -4 binary64)) y)))
92.1%
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (fabs.f64 (-.f64 (fma.f64 x (/.f64 z y) (/.f64 (neg.f64 x) y)) (/.f64 #s(literal 4 binary64) y))))
Compiler

Compiled 276 to 191 computations (30.8% saved)

series136.0ms (3.5%)

Memory
-3.0MiB live, 42.0MiB allocated; 7ms collecting garbage
Counts
18 → 42
Calls
Call 1
Inputs
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z)))
(pow.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
x
(-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z)
(*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 y #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)
(pow.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
z
Outputs
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) #s(hole binary64 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (/ 4 y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (/ 4 y)))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))))
#s(approx (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z) #s(hole binary64 (/ (* x z) y)))
#s(approx (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) #s(hole binary64 (/ x y)))
#s(approx (* (pow y -1/2) x) #s(hole binary64 (* x (sqrt (/ 1 y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (- (/ 1 y) (/ z y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (* x (- (* 4 (/ 1 (* x y))) (/ z y)))))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) #s(hole binary64 (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (+ (* -1 (/ z y)) (/ 1 y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y)))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (/ (- (+ 4 x) (* x z)) y)))
#s(approx (pow y -1) #s(hole binary64 (/ 1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (/ (- 4 (* x z)) y)))
#s(approx (/ 4 y) #s(hole binary64 (/ 4 y)))
#s(approx (* (pow y -1/4) (pow y -1/4)) #s(hole binary64 (sqrt (/ 1 y))))
#s(approx (pow y -1/4) #s(hole binary64 (pow (/ 1 y) 1/4)))
#s(approx (pow y -1/2) #s(hole binary64 (sqrt (/ 1 y))))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) #s(hole binary64 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (* -1 (/ (* x (* z (pow (sqrt -1) 2))) y))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* -1 (/ (- (* -1 x) (+ 4 (* x (* z (pow (sqrt -1) 2))))) y))))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (/ (+ 4 (* x (* z (pow (sqrt -1) 2)))) y)))
#s(approx (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z) #s(hole binary64 (* -1 (/ (* x (* z (pow (sqrt -1) 2))) y))))
#s(approx (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) #s(hole binary64 (* -1 (/ (* x (pow (sqrt -1) 2)) y))))
#s(approx (* (pow y -1/4) (pow y -1/4)) #s(hole binary64 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
#s(approx (pow y -1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (log (/ -1 y)))))))
#s(approx (* (pow y -1/2) x) #s(hole binary64 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))
#s(approx (pow y -1/2) #s(hole binary64 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (+ (* 4 (/ 1 y)) (/ x y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (* z (- (* 4 (/ 1 (* y z))) (/ x y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z)))))))
Calls

9 calls:

TimeVariablePointExpression
61.0ms
y
@0
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (pow y -1) y -1 x (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (/ 4 y) 4 (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z) (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) (* (pow y -1/4) (pow y -1/4)) (pow y -1/4) -1/4 (* (pow y -1/2) x) (pow y -1/2) -1/2 z)
46.0ms
y
@-inf
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (pow y -1) y -1 x (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (/ 4 y) 4 (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z) (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) (* (pow y -1/4) (pow y -1/4)) (pow y -1/4) -1/4 (* (pow y -1/2) x) (pow y -1/2) -1/2 z)
13.0ms
y
@inf
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (pow y -1) y -1 x (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (/ 4 y) 4 (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z) (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) (* (pow y -1/4) (pow y -1/4)) (pow y -1/4) -1/4 (* (pow y -1/2) x) (pow y -1/2) -1/2 z)
3.0ms
x
@-inf
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (pow y -1) y -1 x (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (/ 4 y) 4 (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z) (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) (* (pow y -1/4) (pow y -1/4)) (pow y -1/4) -1/4 (* (pow y -1/2) x) (pow y -1/2) -1/2 z)
2.0ms
x
@0
((fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (pow y -1) y -1 x (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (/ 4 y) 4 (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z) (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) (* (pow y -1/4) (pow y -1/4)) (pow y -1/4) -1/4 (* (pow y -1/2) x) (pow y -1/2) -1/2 z)

rewrite52.0ms (1.3%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01591254
0177886
0814882
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
60 → 104
Calls
Call 1
Inputs
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z)))
(pow.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
x
(-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z)
(*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 y #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)
(pow.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
z
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) #s(hole binary64 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (/ 4 y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (/ 4 y)))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y)))))
#s(approx (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z) #s(hole binary64 (/ (* x z) y)))
#s(approx (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) #s(hole binary64 (/ x y)))
#s(approx (* (pow y -1/2) x) #s(hole binary64 (* x (sqrt (/ 1 y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (- (/ 1 y) (/ z y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (* x (- (* 4 (/ 1 (* x y))) (/ z y)))))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) #s(hole binary64 (fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (+ (* -1 (/ z y)) (/ 1 y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (* x (+ (* -1 (/ z y)) (* 4 (/ 1 (* x y)))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (/ (- (+ 4 x) (* x z)) y)))
#s(approx (pow y -1) #s(hole binary64 (/ 1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (/ (- 4 (* x z)) y)))
#s(approx (/ 4 y) #s(hole binary64 (/ 4 y)))
#s(approx (* (pow y -1/4) (pow y -1/4)) #s(hole binary64 (sqrt (/ 1 y))))
#s(approx (pow y -1/4) #s(hole binary64 (pow (/ 1 y) 1/4)))
#s(approx (pow y -1/2) #s(hole binary64 (sqrt (/ 1 y))))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) #s(hole binary64 (fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (* -1 (/ (* x (* z (pow (sqrt -1) 2))) y))))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* -1 (/ (- (* -1 x) (+ 4 (* x (* z (pow (sqrt -1) 2))))) y))))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (/ (+ 4 (* x (* z (pow (sqrt -1) 2)))) y)))
#s(approx (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z) #s(hole binary64 (* -1 (/ (* x (* z (pow (sqrt -1) 2))) y))))
#s(approx (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) #s(hole binary64 (* -1 (/ (* x (pow (sqrt -1) 2)) y))))
#s(approx (* (pow y -1/4) (pow y -1/4)) #s(hole binary64 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
#s(approx (pow y -1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (log (/ -1 y)))))))
#s(approx (* (pow y -1/2) x) #s(hole binary64 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))))
#s(approx (pow y -1/2) #s(hole binary64 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (+ (* 4 (/ 1 y)) (/ x y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* -1 (/ (* x z) y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (* z (- (* 4 (/ 1 (* y z))) (/ x y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) #s(hole binary64 (* z (+ (* -1 (/ x y)) (* 4 (/ 1 (* y z)))))))
Outputs
(sqrt.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))) (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))))
(fabs.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))))
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (*.f64 (pow.f64 y #s(literal -1 binary64)) x)) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))) (-.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))
(fma.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))
(fma.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))
(fma.f64 x (pow.f64 y #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))
(-.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))
(+.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)) (*.f64 (pow.f64 y #s(literal -1 binary64)) x))
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
y
#s(literal -1 binary64)
x
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))) (+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 4 binary64) y) (fma.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z) (*.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x)) z))
(fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x)) z))
(-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z))
(+.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x)) z))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -4 binary64) (neg.f64 y))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) z)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) z))
(*.f64 z (*.f64 (pow.f64 y #s(literal -1 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 y #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 y #s(literal -1/8 binary64)))
(pow.f64 y #s(literal -1/4 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)
(*.f64 x (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 y #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
z
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) (fabs.f64 (-.f64 (/.f64 (*.f64 z x) y) (+.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (/.f64 #s(literal 4 binary64) y))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x (/.f64 #s(literal 4 binary64) y)))
#s(approx x x)
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (/.f64 #s(literal 4 binary64) y))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (fma.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) y)))
#s(approx (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z) (/.f64 (*.f64 z x) y))
#s(approx (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) (/.f64 x y))
#s(approx (* (pow y -1/2) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) (pow.f64 y #s(literal -1 binary64))) (/.f64 z y)) x))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (neg.f64 (/.f64 (*.f64 z x) y)))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (*.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) (/.f64 z y)) x))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) (fabs.f64 (-.f64 (fma.f64 x (/.f64 z y) (/.f64 (neg.f64 x) y)) (/.f64 #s(literal 4 binary64) y))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) x))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) (pow.f64 y #s(literal -1 binary64)))) x))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x y))) x))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 z x)) y))
#s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))
#s(approx y y)
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 z x)) y))
#s(approx (/ 4 y) (/.f64 #s(literal 4 binary64) y))
#s(approx (pow y -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
#s(approx (pow y -1/4) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/4 binary64)))
#s(approx (pow y -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)))) (fabs.f64 (-.f64 (neg.f64 (*.f64 x (neg.f64 (/.f64 z y)))) (+.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y)))))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (neg.f64 (/.f64 (-.f64 (neg.f64 x) (fma.f64 (*.f64 z #s(literal -1 binary64)) x #s(literal 4 binary64))) y)))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (/.f64 (fma.f64 (*.f64 z #s(literal -1 binary64)) x #s(literal 4 binary64)) y))
#s(approx (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z) (neg.f64 (*.f64 x (neg.f64 (/.f64 z y)))))
#s(approx (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) (neg.f64 (/.f64 (neg.f64 x) y)))
#s(approx (pow y -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)))
#s(approx (pow y -1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)))))
#s(approx (* (pow y -1/2) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
#s(approx (pow y -1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (+.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (fma.f64 (/.f64 (*.f64 z x) y) #s(literal -1 binary64) (+.f64 (/.f64 x y) (/.f64 #s(literal 4 binary64) y))))
#s(approx z z)
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (neg.f64 (/.f64 (*.f64 z x) y)))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (*.f64 (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 z y)) (/.f64 x y)) z))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) z) (/.f64 x y)) z))
#s(approx (+ (* (pow y -1) x) (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 z y))) (/.f64 (neg.f64 x) y)) z)))
#s(approx (- (/ 4 y) (* (* (* (pow y -1/4) (pow y -1/4)) (* (pow y -1/2) x)) z)) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) z)) z))

eval13.0ms (0.3%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 197 to 476 computations (85.1% saved)

prune139.0ms (3.6%)

Memory
20.5MiB live, 70.2MiB allocated; 11ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh044
Picked011
Done022
Total1117118
Accuracy
100.0%
Counts
118 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.4%
(*.f64 (pow.f64 (fabs.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)) #s(literal 1/2 binary64)))
68.8%
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 (fma.f64 z x #s(literal 4 binary64)) y))))
96.9%
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))))
96.8%
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))))
96.8%
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))))
93.1%
(fabs.f64 (fma.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 x #s(literal -4 binary64)) y)))
92.1%
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (fabs.f64 (-.f64 (fma.f64 x (/.f64 z y) (/.f64 (neg.f64 x) y)) (/.f64 #s(literal 4 binary64) y))))
Compiler

Compiled 483 to 236 computations (51.1% saved)

regimes31.0ms (0.8%)

Memory
-18.7MiB live, 25.4MiB allocated; 6ms collecting garbage
Accuracy

Total -52.5b remaining (-67156.3%)

Threshold costs -52.5b (-67156.3%)

Counts
14 → 2
Calls
Call 1
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (fma.f64 (/.f64 (neg.f64 z) y) x (/.f64 (-.f64 x #s(literal -4 binary64)) y)))
(fabs.f64 (fma.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 x #s(literal -4 binary64)) y)))
(fabs.f64 (/.f64 (fma.f64 (-.f64 x #s(literal -4 binary64)) y (*.f64 y (*.f64 (neg.f64 z) x))) (*.f64 y y)))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (fabs.f64 (-.f64 (fma.f64 x (/.f64 z y) (/.f64 (neg.f64 x) y)) (/.f64 #s(literal 4 binary64) y))))
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))))
(fabs.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 (fma.f64 z x (-.f64 x #s(literal -4 binary64))) y)))
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 (fma.f64 z x #s(literal 4 binary64)) y))))
(*.f64 (pow.f64 (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 x) z #s(literal 4 binary64)) x) y)) #s(literal 1/2 binary64)))
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))))
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) z))))
(fabs.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 3 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x) (/.f64 #s(literal -4 binary64) y))))))
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 z) (/.f64 x y)) #s(literal 3 binary64)) (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 x y) z) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 z) (/.f64 x y)) (/.f64 #s(literal -4 binary64) y)))))))
Outputs
(fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z))))
#s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (fabs.f64 (-.f64 (fma.f64 x (/.f64 z y) (/.f64 (neg.f64 x) y)) (/.f64 #s(literal 4 binary64) y))))
Calls

5 calls:

10.0ms
y
6.0ms
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
5.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
98.8%2(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
99.9%2(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
96.9%1x
99.9%2y
96.9%1z
Compiler

Compiled 26 to 28 computations (-7.7% saved)

bsearch13.0ms (0.3%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
1.5480712389538858e-114
2.0581582297331083e-113
Samples
7.0ms96×0valid
Compiler

Compiled 327 to 250 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (25.8% of total)
ival-add: 1.0ms (25.8% of total)
ival-fabs: 1.0ms (25.8% of total)
ival-mult: 1.0ms (25.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify64.0ms (1.6%)

Memory
-13.5MiB live, 32.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03356
16954
217350
351850
4201850
5693750
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 6931674235302037/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))) #s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (fabs.f64 (-.f64 (fma.f64 x (/.f64 z y) (/.f64 (neg.f64 x) y)) (/.f64 #s(literal 4 binary64) y)))))
Outputs
(if (<=.f64 y #s(literal 6931674235302037/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))) #s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (fabs.f64 (-.f64 (fma.f64 x (/.f64 z y) (/.f64 (neg.f64 x) y)) (/.f64 #s(literal 4 binary64) y)))))
(if (<=.f64 y #s(literal 6931674235302037/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (fabs.f64 (fma.f64 (pow.f64 y #s(literal -1 binary64)) x (-.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 x y) z)))) #s(approx (fabs (+ (* (pow y -1) x) (- (/ 4 y) (* (* (pow y -1/2) (* (pow y -1/2) x)) z)))) (fabs.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (fma.f64 x (/.f64 z y) (/.f64 (neg.f64 x) y))))))

derivations68.0ms (1.7%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 56 to 35 computations (37.5% saved)

preprocess17.0ms (0.4%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 248 to 160 computations (35.5% saved)

end0.0ms (0%)

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

Profiling

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