Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

Time bar (total: 2.1s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample857.0ms (40.3%)

Memory
-2.6MiB live, 1 123.7MiB allocated; 273ms collecting garbage
Samples
545.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 315.0ms
ival-mult: 206.0ms (65.5% of total)
ival-add: 97.0ms (30.8% of total)
exact: 7.0ms (2.2% of total)
ival-assert: 3.0ms (1% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain102.0ms (4.8%)

Memory
5.2MiB live, 243.2MiB allocated; 14ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
150-0-(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 y y)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 y y))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))n*o150
Confusion
Predicted +Predicted -
+150
-0241
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1500
-00241
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0241
115
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (66.4% of total)
ival-add: 2.0ms (19% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess179.0ms (8.4%)

Memory
21.7MiB live, 260.6MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01744
17144
223842
350842
4156942
5566042
067
097
1257
2747
32157
48097
535467
080776
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series5.0ms (0.2%)

Memory
13.8MiB live, 13.9MiB allocated; 0ms collecting garbage
Counts
6 → 12
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
Outputs
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))
Calls

6 calls:

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

rewrite78.0ms (3.7%)

Memory
0.4MiB live, 83.4MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030140
1130140
01027125
Stop Event
iter limit
iter limit
node limit
Counts
18 → 126
Calls
Call 1
Inputs
(* x (+ 1 (* y y)))
x
(+ 1 (* y y))
1
(* y y)
y
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))
Outputs
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y y) x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 x) y) y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 y y) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 y y) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) x) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x x)))
(fma.f64 (*.f64 x (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (*.f64 x y) y x)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) x) x)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x) x)
(fma.f64 (*.f64 y y) x x)
(fma.f64 y (*.f64 y x) x)
(fma.f64 x (*.f64 y y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y y) x))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y y) x))))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) x))
(-.f64 x (*.f64 (*.f64 (neg.f64 x) y) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 y y) x) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) (*.f64 y y)))
(+.f64 x (*.f64 (*.f64 y y) x))
x
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) y) y)
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 y (*.f64 y (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal -6 binary64)) #s(literal 1 binary64)) (*.f64 y y)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 y y) (+.f64 (pow.f64 y #s(literal -6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 y) (fabs.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (*.f64 y y) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -2 binary64))))
(-.f64 (*.f64 y y) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (*.f64 y y)))
(-.f64 (*.f64 y y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y))))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) y) y)
(*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(approx (* x (+ 1 (* y y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (* x (+ 1 (* y y))) x)
#s(approx (* x (+ 1 (* y y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(approx (+ 1 (* y y)) (fma.f64 y y #s(literal 1 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x))
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 y y)) x) y) y))
#s(approx (+ 1 (* y y)) (*.f64 y y))
#s(approx (+ 1 (* y y)) (fma.f64 y y #s(literal 1 binary64)))

eval17.0ms (0.8%)

Memory
-19.1MiB live, 26.7MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 518 to 377 computations (75.2% saved)

prune3.0ms (0.2%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1224126
Fresh000
Picked101
Done000
Total1234127
Accuracy
99.9%
Counts
127 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x y) y x)
63.0%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
49.5%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
49.0%
#s(approx (* x (+ 1 (* y y))) x)
Compiler

Compiled 39 to 29 computations (25.6% saved)

series91.0ms (4.3%)

Memory
-33.9MiB live, 42.2MiB allocated; 89ms collecting garbage
Counts
15 → 38
Calls
Call 1
Inputs
#s(approx (* x (+ 1 (* y y))) x)
x
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
#s(literal 1 binary64)
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
Outputs
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 (* x (- 1 (pow y 4)))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (pow y 2)) 1)))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 x))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 x))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 4))))))
#s(approx (- 1 (pow y 4)) #s(hole binary64 1))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 x))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 (* -1 (* x (pow y 4)))))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ 1 (pow y 4)) 1))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
Calls

6 calls:

TimeVariablePointExpression
65.0ms
y
@-inf
((* x (+ 1 (* y y))) x (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) y (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) 1 (pow y 4) 4 (- 1 (* y y)) (+ (* (* x y) y) x) (* x y))
3.0ms
y
@inf
((* x (+ 1 (* y y))) x (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) y (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) 1 (pow y 4) 4 (- 1 (* y y)) (+ (* (* x y) y) x) (* x y))
3.0ms
x
@0
((* x (+ 1 (* y y))) x (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) y (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) 1 (pow y 4) 4 (- 1 (* y y)) (+ (* (* x y) y) x) (* x y))
3.0ms
x
@-inf
((* x (+ 1 (* y y))) x (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) y (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) 1 (pow y 4) 4 (- 1 (* y y)) (+ (* (* x y) y) x) (* x y))
2.0ms
x
@inf
((* x (+ 1 (* y y))) x (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) y (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (- 1 (pow y 4)) x) (- 1 (pow y 4)) 1 (pow y 4) 4 (- 1 (* y y)) (+ (* (* x y) y) x) (* x y))

rewrite104.0ms (4.9%)

Memory
20.5MiB live, 113.3MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090530
1358526
02566489
Stop Event
iter limit
iter limit
node limit
Counts
53 → 272
Calls
Call 1
Inputs
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 x))
x
(* x #s(approx (+ 1 (* y y)) #s(hole binary64 (* y y))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* y y)))
(* y y)
y
(/ (* (- 1 (pow y 4)) x) (- 1 (* y y)))
(* (- 1 (pow y 4)) x)
(- 1 (pow y 4))
1
(pow y 4)
4
(- 1 (* y y))
(+ (* (* x y) y) x)
(* x y)
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 (* x (- 1 (pow y 4)))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* x (+ 1 (pow y 2)))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (pow y 2)) 1)))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 x))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (+ 1 (* y y)) #s(hole binary64 1))
#s(approx (+ 1 (* y y)) #s(hole binary64 (+ 1 (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 x))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 x))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 4))))))
#s(approx (- 1 (pow y 4)) #s(hole binary64 1))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 x))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* x (+ 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (+ 1 (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ 1 (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ 1 (pow y 2))))))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 (* -1 (* x (pow y 4)))))
#s(approx (* (- 1 (pow y 4)) x) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ 1 (pow y 4)) 1))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* (* x y) y) x) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
Outputs
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) x)
x
(*.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) x)
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
#s(approx (+ 1 (* y y)) (*.f64 y y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (*.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) y) y)
(*.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y (*.f64 y #s(literal 1 binary64)))
(*.f64 y y)
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64))))) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 x) y) y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (neg.f64 (-.f64 x (*.f64 (*.f64 y y) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) x) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) x) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (-.f64 x (*.f64 (*.f64 y y) x)))
(/.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (*.f64 y y) x) x))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (+.f64 #s(literal -1 binary64) (*.f64 y y))))
(fma.f64 (*.f64 x (neg.f64 y)) (neg.f64 y) x)
(fma.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y) x)
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) x) x)
(fma.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x) x)
(fma.f64 (*.f64 y y) x x)
(fma.f64 (*.f64 y x) y x)
(fma.f64 y (*.f64 y x) x)
(fma.f64 x (*.f64 y y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y y) x))) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (-.f64 x (*.f64 (*.f64 y y) x))))
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (-.f64 (*.f64 (*.f64 y y) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) x) x)))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) x))
(-.f64 x (*.f64 (neg.f64 (*.f64 y x)) y))
(-.f64 x (*.f64 (neg.f64 y) (*.f64 y x)))
(-.f64 x (*.f64 (*.f64 (neg.f64 x) y) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))))))
(+.f64 (*.f64 (*.f64 y y) x) x)
(+.f64 x (*.f64 (*.f64 y y) x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) x) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) x) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
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eval28.0ms (1.3%)

Memory
11.3MiB live, 56.3MiB allocated; 9ms collecting garbage
Compiler

Compiled 4 381 to 778 computations (82.2% saved)

prune13.0ms (0.6%)

Memory
-31.4MiB live, 24.4MiB allocated; 8ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2682270
Fresh000
Picked134
Done000
Total2695274
Accuracy
99.9%
Counts
274 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x y) y x)
63.0%
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
63.9%
(*.f64 (/.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
49.5%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
49.0%
#s(approx (* x (+ 1 (* y y))) x)
Compiler

Compiled 56 to 40 computations (28.6% saved)

series14.0ms (0.6%)

Memory
28.1MiB live, 28.1MiB allocated; 0ms collecting garbage
Counts
18 → 50
Calls
Call 1
Inputs
(*.f64 (/.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
x
(neg.f64 (fma.f64 y y #s(literal -1 binary64)))
(fma.f64 y y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
#s(literal 1 binary64)
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 y y)
(-.f64 #s(literal 1 binary64) (*.f64 y y))
Outputs
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ x (- 1 (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (+ (* (* (neg y) y) (* y y)) 1) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (+ 1 (* -1 (pow y 4)))) (- 1 (pow y 2)))))
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) #s(hole binary64 (* x (+ 1 (* -1 (pow y 4))))))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) #s(hole binary64 x))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 x))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (+ x (* (pow y 2) (- (* x (pow y 2)) (* -1 x))))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (+ x (* (pow y 2) (- (* (pow y 2) (- (* x (pow y 2)) (* -1 x))) (* -1 x))))))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 1))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (+ (* y y) -1) #s(hole binary64 -1))
#s(approx (+ (* y y) -1) #s(hole binary64 (- (pow y 2) 1)))
#s(approx y #s(hole binary64 y))
#s(approx (- 1 (pow y 4)) #s(hole binary64 1))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx (/ (* (+ (* (* (neg y) y) (* y y)) 1) x) (- 1 (* y y))) #s(hole binary64 x))
#s(approx (/ (* (+ (* (* (neg y) y) (* y y)) 1) x) (- 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) #s(hole binary64 (+ x (* -1 (* x (pow y 4))))))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (* -1 (/ x (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) (pow y 2))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ (- (+ (* -1 x) (* -1 (/ x (pow y 4)))) (/ x (pow y 2))) (pow y 2))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ (- (+ (* -1 x) (* -1 (/ x (pow y 6)))) (+ (/ x (pow y 2)) (/ x (pow y 4)))) (pow y 2))))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))
#s(approx (+ (* y y) -1) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) -1) #s(hole binary64 (* (pow y 2) (- 1 (/ 1 (pow y 2))))))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ 1 (pow y 4)) 1))))
#s(approx (/ (* (+ (* (* (neg y) y) (* y y)) 1) x) (- 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (/ (* (+ (* (* (neg y) y) (* y y)) 1) x) (- 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) #s(hole binary64 (* -1 (* x (pow y 4)))))
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (/ 1 (pow y 4)) 1))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))
Calls

6 calls:

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

rewrite198.0ms (9.3%)

Memory
2.1MiB live, 187.3MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124848
1576707
05161673
Stop Event
iter limit
iter limit
node limit
Counts
68 → 544
Calls
Call 1
Inputs
(* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4)))
(/ x (neg (+ (* y y) -1)))
x
(neg (+ (* y y) -1))
(+ (* y y) -1)
y
-1
(- 1 (pow y 4))
1
(pow y 4)
4
(/ (* (+ (* (* (neg y) y) (* y y)) 1) x) (- 1 (* y y)))
(* (+ (* (* (neg y) y) (* y y)) 1) x)
(+ (* (* (neg y) y) (* y y)) 1)
(* (neg y) y)
(neg y)
(* y y)
(- 1 (* y y))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ x (- 1 (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (+ (* (* (neg y) y) (* y y)) 1) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (+ 1 (* -1 (pow y 4)))) (- 1 (pow y 2)))))
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) #s(hole binary64 (* x (+ 1 (* -1 (pow y 4))))))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) #s(hole binary64 x))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 x))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (+ x (* (pow y 2) (- (* x (pow y 2)) (* -1 x))))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (+ x (* (pow y 2) (- (* (pow y 2) (- (* x (pow y 2)) (* -1 x))) (* -1 x))))))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 1))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (+ (* y y) -1) #s(hole binary64 -1))
#s(approx (+ (* y y) -1) #s(hole binary64 (- (pow y 2) 1)))
#s(approx y #s(hole binary64 y))
#s(approx (- 1 (pow y 4)) #s(hole binary64 1))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx (/ (* (+ (* (* (neg y) y) (* y y)) 1) x) (- 1 (* y y))) #s(hole binary64 x))
#s(approx (/ (* (+ (* (* (neg y) y) (* y y)) 1) x) (- 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) #s(hole binary64 (+ x (* -1 (* x (pow y 4))))))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) #s(hole binary64 (* x (pow y 2))))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (* -1 (/ x (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) (pow y 2))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ (- (+ (* -1 x) (* -1 (/ x (pow y 4)))) (/ x (pow y 2))) (pow y 2))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ (- (+ (* -1 x) (* -1 (/ x (pow y 6)))) (+ (/ x (pow y 2)) (/ x (pow y 4)))) (pow y 2))))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))
#s(approx (+ (* y y) -1) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) -1) #s(hole binary64 (* (pow y 2) (- 1 (/ 1 (pow y 2))))))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- 1 (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ 1 (pow y 4)) 1))))
#s(approx (/ (* (+ (* (* (neg y) y) (* y y)) 1) x) (- 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (/ (* (+ (* (* (neg y) y) (* y y)) 1) x) (- 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) #s(hole binary64 (* -1 (* x (pow y 4)))))
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (/ 1 (pow y 4)) 1))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- 1 (* y y)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 8 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (neg.f64 y) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (neg.f64 (-.f64 x (*.f64 (*.f64 y y) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (neg.f64 x)))) (neg.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (neg.f64 x)) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 8 binary64))) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (neg.f64 x)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) x) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 8 binary64))) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) x) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) x) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))))
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#s(approx (/ x (neg (+ (* y y) -1))) x)
#s(approx (/ x (neg (+ (* y y) -1))) (fma.f64 (*.f64 y y) x x))
#s(approx (/ x (neg (+ (* y y) -1))) (fma.f64 x (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) x))
#s(approx (/ x (neg (+ (* y y) -1))) (fma.f64 (fma.f64 x (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) x) (*.f64 y y) x))
#s(approx (neg (+ (* y y) -1)) #s(literal 1 binary64))
#s(approx (neg (+ (* y y) -1)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
#s(approx (+ (* y y) -1) #s(literal -1 binary64))
#s(approx (+ (* y y) -1) (fma.f64 y y #s(literal -1 binary64)))
#s(approx y y)
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
#s(approx (pow y 4) (pow.f64 y #s(literal 4 binary64)))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) x)
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) (fma.f64 (*.f64 y y) x x))
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) x)
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (neg y) y) (*.f64 (neg.f64 y) y))
#s(approx (neg y) (neg.f64 y))
#s(approx (* y y) (*.f64 y y))
#s(approx (neg (+ (* y y) -1)) #s(literal 1 binary64))
#s(approx (neg (+ (* y y) -1)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) (*.f64 (*.f64 y y) x))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) (*.f64 (fma.f64 x (pow.f64 y #s(literal -2 binary64)) x) (*.f64 y y)))
#s(approx (/ x (neg (+ (* y y) -1))) (/.f64 (/.f64 (neg.f64 x) y) y))
#s(approx (/ x (neg (+ (* y y) -1))) (/.f64 (neg.f64 (fma.f64 x (pow.f64 y #s(literal -2 binary64)) x)) (*.f64 y y)))
#s(approx (/ x (neg (+ (* y y) -1))) (/.f64 (-.f64 (neg.f64 (fma.f64 x (pow.f64 y #s(literal -4 binary64)) x)) (/.f64 x (*.f64 y y))) (*.f64 y y)))
#s(approx (/ x (neg (+ (* y y) -1))) (/.f64 (-.f64 (neg.f64 (fma.f64 x (pow.f64 y #s(literal -6 binary64)) x)) (fma.f64 x (pow.f64 y #s(literal -4 binary64)) (/.f64 x (*.f64 y y)))) (*.f64 y y)))
#s(approx (neg (+ (* y y) -1)) (*.f64 (neg.f64 y) y))
#s(approx (neg (+ (* y y) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) y) y))
#s(approx (+ (* y y) -1) (*.f64 y y))
#s(approx (+ (* y y) -1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) y))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) (*.f64 (-.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) (*.f64 (*.f64 y y) x))
#s(approx (* (/ x (neg (+ (* y y) -1))) (- 1 (pow y 4))) (*.f64 (fma.f64 x (pow.f64 y #s(literal -2 binary64)) x) (*.f64 y y)))
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (+ (* (* (neg y) y) (* y y)) 1) x) (*.f64 (fma.f64 x (pow.f64 y #s(literal -4 binary64)) (neg.f64 x)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) (*.f64 (-.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (neg (+ (* y y) -1)) (*.f64 (neg.f64 y) y))
#s(approx (neg (+ (* y y) -1)) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) y) y))

eval57.0ms (2.7%)

Memory
-15.9MiB live, 119.3MiB allocated; 14ms collecting garbage
Compiler

Compiled 8 372 to 1 415 computations (83.1% saved)

prune10.0ms (0.5%)

Memory
-18.6MiB live, 35.9MiB allocated; 5ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4401441
Fresh000
Picked112
Done033
Total4415446
Accuracy
99.9%
Counts
446 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x y) y x)
63.0%
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
63.9%
(*.f64 (/.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64)))
49.5%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
49.0%
#s(approx (* x (+ 1 (* y y))) x)
Compiler

Compiled 60 to 41 computations (31.7% saved)

series9.0ms (0.4%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Counts
12 → 31
Calls
Call 1
Inputs
(*.f64 (/.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
x
(neg.f64 (fma.f64 y y #s(literal -1 binary64)))
(fma.f64 y y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 y y)
#s(literal 1 binary64)
Outputs
#s(approx (* (/ x (neg (+ (* y y) -1))) (+ (* (* (neg y) y) (* y y)) 1)) #s(hole binary64 (/ (* x (+ 1 (* -1 (pow y 4)))) (- 1 (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ x (- 1 (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ x (neg (+ (* y y) -1))) (+ (* (* (neg y) y) (* y y)) 1)) #s(hole binary64 x))
#s(approx (* (/ x (neg (+ (* y y) -1))) (+ (* (* (neg y) y) (* y y)) 1)) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 x))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (+ x (* (pow y 2) (- (* x (pow y 2)) (* -1 x))))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (+ x (* (pow y 2) (- (* (pow y 2) (- (* x (pow y 2)) (* -1 x))) (* -1 x))))))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 1))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (+ (* y y) -1) #s(hole binary64 -1))
#s(approx (+ (* y y) -1) #s(hole binary64 (- (pow y 2) 1)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (/ x (neg (+ (* y y) -1))) (+ (* (* (neg y) y) (* y y)) 1)) #s(hole binary64 (* x (pow y 2))))
#s(approx (* (/ x (neg (+ (* y y) -1))) (+ (* (* (neg y) y) (* y y)) 1)) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (* -1 (/ x (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) (pow y 2))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ (- (+ (* -1 x) (* -1 (/ x (pow y 4)))) (/ x (pow y 2))) (pow y 2))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ (- (+ (* -1 x) (* -1 (/ x (pow y 6)))) (+ (/ x (pow y 2)) (/ x (pow y 4)))) (pow y 2))))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))
#s(approx (+ (* y y) -1) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) -1) #s(hole binary64 (* (pow y 2) (- 1 (/ 1 (pow y 2))))))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (/ 1 (pow y 4)) 1))))
Calls

6 calls:

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

rewrite154.0ms (7.2%)

Memory
-16.9MiB live, 267.9MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094581
1489443
04739418
Stop Event
iter limit
iter limit
node limit
Counts
43 → 342
Calls
Call 1
Inputs
(* (/ x (neg (+ (* y y) -1))) (+ (* (* (neg y) y) (* y y)) 1))
(/ x (neg (+ (* y y) -1)))
x
(neg (+ (* y y) -1))
(+ (* y y) -1)
y
-1
(+ (* (* (neg y) y) (* y y)) 1)
(* (neg y) y)
(neg y)
(* y y)
1
#s(approx (* (/ x (neg (+ (* y y) -1))) (+ (* (* (neg y) y) (* y y)) 1)) #s(hole binary64 (/ (* x (+ 1 (* -1 (pow y 4)))) (- 1 (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ x (- 1 (pow y 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ x (neg (+ (* y y) -1))) (+ (* (* (neg y) y) (* y y)) 1)) #s(hole binary64 x))
#s(approx (* (/ x (neg (+ (* y y) -1))) (+ (* (* (neg y) y) (* y y)) 1)) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 x))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (+ x (* (pow y 2) (- (* x (pow y 2)) (* -1 x))))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (+ x (* (pow y 2) (- (* (pow y 2) (- (* x (pow y 2)) (* -1 x))) (* -1 x))))))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 1))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (+ (* y y) -1) #s(hole binary64 -1))
#s(approx (+ (* y y) -1) #s(hole binary64 (- (pow y 2) 1)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 1))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (* (/ x (neg (+ (* y y) -1))) (+ (* (* (neg y) y) (* y y)) 1)) #s(hole binary64 (* x (pow y 2))))
#s(approx (* (/ x (neg (+ (* y y) -1))) (+ (* (* (neg y) y) (* y y)) 1)) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (* -1 (/ x (pow y 2)))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) (pow y 2))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ (- (+ (* -1 x) (* -1 (/ x (pow y 4)))) (/ x (pow y 2))) (pow y 2))))
#s(approx (/ x (neg (+ (* y y) -1))) #s(hole binary64 (/ (- (+ (* -1 x) (* -1 (/ x (pow y 6)))) (+ (/ x (pow y 2)) (/ x (pow y 4)))) (pow y 2))))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg (+ (* y y) -1)) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow y 2)) 1))))
#s(approx (+ (* y y) -1) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) -1) #s(hole binary64 (* (pow y 2) (- 1 (/ 1 (pow y 2))))))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (+ (* (* (neg y) y) (* y y)) 1) #s(hole binary64 (* (pow y 4) (- (/ 1 (pow y 4)) 1))))
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 y y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 y y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 y y) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))) (*.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))) (-.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (neg.f64 y) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (neg.f64 x)))) (neg.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) (*.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (neg.f64 (-.f64 x (*.f64 (*.f64 y y) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 y y) #s(literal -1 binary64)) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
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eval40.0ms (1.9%)

Memory
31.0MiB live, 76.7MiB allocated; 7ms collecting garbage
Compiler

Compiled 7 374 to 1 122 computations (84.8% saved)

prune33.0ms (1.5%)

Memory
-23.0MiB live, 31.1MiB allocated; 8ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3492351
Fresh000
Picked101
Done044
Total3506356
Accuracy
100.0%
Counts
356 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(fma.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 y)) (pow.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
99.9%
(fma.f64 (*.f64 x y) y x)
63.0%
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
17.1%
(*.f64 (/.f64 x (neg.f64 #s(approx (+ (* y y) -1) (*.f64 y y)))) (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64)))
49.5%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
49.0%
#s(approx (* x (+ 1 (* y y))) x)
Compiler

Compiled 222 to 98 computations (55.9% saved)

regimes19.0ms (0.9%)

Memory
-1.2MiB live, 43.6MiB allocated; 6ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (* x (+ 1 (* y y))) x)
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
(fma.f64 (*.f64 x y) y x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x (neg.f64 #s(approx (+ (* y y) -1) (*.f64 y y)))) (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 y)) (pow.f64 y #s(literal 3 binary64)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
Outputs
(fma.f64 (*.f64 x y) y x)
Calls

5 calls:

6.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
3.0ms
x
3.0ms
y
3.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
99.9%1(*.f64 y y)
99.9%1(+.f64 #s(literal 1 binary64) (*.f64 y y))
99.9%1(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
99.9%1x
99.9%1y
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes6.0ms (0.3%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* x (+ 1 (* y y))) x)
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
Outputs
#s(approx (* x (+ 1 (* y y))) x)
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
Calls

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
1.0ms
(*.f64 y y)
1.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Results
AccuracySegmentsBranch
93.6%2(*.f64 y y)
93.6%2(+.f64 #s(literal 1 binary64) (*.f64 y y))
76.0%2(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
58.4%4x
93.6%2y
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes7.0ms (0.4%)

Memory
-28.9MiB live, 17.0MiB allocated; 4ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* x (+ 1 (* y y))) x)
Outputs
#s(approx (* x (+ 1 (* y y))) x)
Calls

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
1.0ms
(*.f64 y y)
1.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Results
AccuracySegmentsBranch
49.0%1x
49.0%1(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
49.0%1(*.f64 y y)
49.0%1(+.f64 #s(literal 1 binary64) (*.f64 y y))
49.0%1y
Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch14.0ms (0.7%)

Memory
31.5MiB live, 31.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.9515924132076018
11769142420.811852
Samples
6.0ms160×0valid
Compiler

Compiled 210 to 181 computations (13.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (65.1% of total)
ival-add: 1.0ms (32.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify50.0ms (2.3%)

Memory
-8.3MiB live, 90.5MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01439
13039
27939
322439
491139
5637939
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (* x (+ 1 (* y y))) x) (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))))
#s(approx (* x (+ 1 (* y y))) x)
Outputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (* x (+ 1 (* y y))) x) (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))))
#s(approx (* x (+ 1 (* y y))) x)

derivations9.0ms (0.4%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 39 to 15 computations (61.5% saved)

preprocess31.0ms (1.5%)

Memory
-16.9MiB live, 74.5MiB allocated; 11ms collecting garbage
Remove

(negabs x)

(abs y)

Compiler

Compiled 130 to 68 computations (47.7% saved)

end0.0ms (0%)

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

Profiling

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