Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

Time bar (total: 1.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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)

sample518.0ms (37.9%)

Memory
29.0MiB live, 741.0MiB allocated; 58ms collecting garbage
Samples
311.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-mult!: 98.0ms (81.9% of total)
ival-add!: 20.0ms (16.7% of total)
adjust: 2.0ms (1.7% of total)
Bogosity

explain109.0ms (7.9%)

Memory
-28.2MiB live, 118.9MiB allocated; 56ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
140-0-(*.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*o140
Confusion
Predicted +Predicted -
+140
-0242
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1400
-00242
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0242
114
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult!: 10.0ms (91.2% of total)
ival-add!: 1.0ms (9.1% of total)
adjust: 0.0ms (0% of total)

preprocess56.0ms (4.1%)

Memory
-3.1MiB live, 42.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01744
17144
223842
350842
4156942
5566042
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0.4%)

Memory
11.4MiB live, 11.4MiB 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)

rewrite71.0ms (5.2%)

Memory
-16.7MiB live, 79.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033146
037140
1138140
01034125
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
18 → 126
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
#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)))

eval12.0ms (0.8%)

Memory
29.1MiB live, 29.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 476 to 376 computations (74.5% saved)

prune4.0ms (0.3%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1164120
Fresh000
Picked101
Done000
Total1174121
Accuracy
100.0%
Counts
121 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x y) y x)
65.4%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
44.0%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
54.9%
#s(approx (* x (+ 1 (* y y))) x)
Compiler

Compiled 39 to 29 computations (25.6% saved)

series17.0ms (1.2%)

Memory
-11.9MiB live, 35.3MiB allocated; 1ms 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
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))
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
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))

rewrite99.0ms (7.3%)

Memory
-22.4MiB live, 119.5MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098584
0111529
1380501
02583489
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
53 → 272
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)
#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 (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 (*.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 (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 (fma.f64 (log.f64 y) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 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 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.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 (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.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 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.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 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (*.f64 y x) y) 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 x) y))))
(/.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 x) y))))))
(/.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 x) y) (-.f64 (*.f64 (*.f64 y x) y) x) (*.f64 x x))))
(/.f64 (neg.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 8 binary64))) x) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.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))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (*.f64 y x) y) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (-.f64 x (*.f64 (*.f64 y x) y)))
(/.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 x) y)))))
(/.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 x) y) (-.f64 (*.f64 (*.f64 y x) y) x) (*.f64 x 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) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(neg.f64 (/.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))))
(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 x) y 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 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (-.f64 (*.f64 (*.f64 y x) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y x) y) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y x) y))) (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (-.f64 x (*.f64 (*.f64 y x) y))))
(-.f64 x (*.f64 (neg.f64 (*.f64 y x)) y))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) x))
(-.f64 x (*.f64 (neg.f64 y) (*.f64 y x)))
(-.f64 x (*.f64 (*.f64 (neg.f64 x) y) y))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y))))) (/.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 x) y))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 (*.f64 y x) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 (*.f64 y x) y) x) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 y x) y) x)
(+.f64 x (*.f64 (*.f64 y x) y))
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.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))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (*.f64 (neg.f64 y) y) #s(literal 1 binary64))
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(/.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))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (*.f64 y x) y) x))
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(-.f64 x (*.f64 (neg.f64 (*.f64 y x)) y))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) y) x))
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#s(approx x x)
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#s(approx (* x y) (*.f64 y x))
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#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (*.f64 y x) y))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (fma.f64 x (pow.f64 y #s(literal -2 binary64)) x) (*.f64 y y)))
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#s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))
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eval23.0ms (1.7%)

Memory
9.5MiB live, 56.0MiB allocated; 2ms collecting garbage
Compiler

Compiled 4 107 to 774 computations (81.2% saved)

prune5.0ms (0.3%)

Memory
13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2432245
Fresh000
Picked134
Done000
Total2445249
Accuracy
100.0%
Counts
249 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x y) y x)
65.4%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
44.0%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
49.0%
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (*.f64 y x) y))
54.9%
#s(approx (* x (+ 1 (* y y))) x)
Compiler

Compiled 62 to 42 computations (32.3% saved)

series12.0ms (0.9%)

Memory
-22.4MiB live, 24.9MiB allocated; 2ms collecting garbage
Counts
13 → 30
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 y y) y) y)
(*.f64 (*.f64 y y) y)
(*.f64 y y)
(-.f64 #s(literal 1 binary64) (*.f64 y y))
Outputs
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (* (* y x) y) #s(hole binary64 (* x (pow y 2))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* x (- 1 (pow y 4)))))
#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 y #s(hole binary64 y))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 1))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (* (* (* y y) y) y) #s(hole binary64 (pow y 4)))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#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 (/ (* (- 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 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* -1 (* x (pow y 4)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- 1 (* (* (* y y) y) y)) #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
2.0ms
y
@-inf
((/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (* y x) y) (* y x) y x (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) (- 1 (* y y)))
2.0ms
x
@-inf
((/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (* y x) y) (* y x) y x (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) (- 1 (* y y)))
2.0ms
y
@inf
((/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (* y x) y) (* y x) y x (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) (- 1 (* y y)))
2.0ms
x
@inf
((/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (* y x) y) (* y x) y x (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) (- 1 (* y y)))
1.0ms
y
@0
((/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (* (* y x) y) (* y x) y x (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) (- 1 (* y y)))

rewrite82.0ms (6%)

Memory
44.7MiB live, 139.7MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088581
0103502
1344403
02217384
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
43 → 239
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 y y) y) y)
(*.f64 (*.f64 y y) y)
(*.f64 y y)
(-.f64 #s(literal 1 binary64) (*.f64 y y))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (* (* y x) y) #s(hole binary64 (* x (pow y 2))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* x (- 1 (pow y 4)))))
#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 y #s(hole binary64 y))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 1))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (* (* (* y y) y) y) #s(hole binary64 (pow y 4)))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#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 (/ (* (- 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 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* -1 (* x (pow y 4)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- 1 (* (* (* y y) y) y)) #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
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 x (fabs.f64 y)) (fabs.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) x))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y y) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(*.f64 x y)
(*.f64 y x)
y
x
(*.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 (fma.f64 y y #s(literal 1 binary64)) x)
(*.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 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 (*.f64 x (pow.f64 y #s(literal 4 binary64))) x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x y) y) 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) (*.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) x))) (neg.f64 (-.f64 x (*.f64 (*.f64 x y) y))))
(/.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 x y) y) (-.f64 (*.f64 (*.f64 x y) y) x) (*.f64 x 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 x (pow.f64 y #s(literal 4 binary64))) x)) (-.f64 x (*.f64 (*.f64 x y) y)))
(/.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 (*.f64 x x) (*.f64 (*.f64 (*.f64 x y) y) 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 x y) y) (-.f64 (*.f64 (*.f64 x y) y) x) (*.f64 x 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 x y) y x)
(fma.f64 (*.f64 y y) x x)
(fma.f64 x (*.f64 y y) x)
(fma.f64 y (*.f64 x y) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x y) y))) (/.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 4 binary64))) x) (-.f64 x (*.f64 (*.f64 x y) y))))
(-.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 x y) y) (-.f64 (*.f64 (*.f64 x y) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x y) y) (-.f64 (*.f64 (*.f64 x y) y) x) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 x y) y) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) (*.f64 y y)))
(+.f64 x (*.f64 (*.f64 x y) y))
(*.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))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) y #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) y) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) y #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #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 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (*.f64 (neg.f64 y) y) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 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) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (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 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) y))
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (/.f64 #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 (neg.f64 (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 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y)
(*.f64 (*.f64 (*.f64 y y) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 y (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 y) (fabs.f64 y)) (*.f64 (neg.f64 y) (fabs.f64 y)))
(*.f64 (*.f64 (fabs.f64 y) (neg.f64 y)) (*.f64 (fabs.f64 y) (neg.f64 y)))
(*.f64 (*.f64 (fabs.f64 y) y) (*.f64 (fabs.f64 y) y))
(*.f64 (*.f64 y (fabs.f64 y)) (*.f64 y (fabs.f64 y)))
(*.f64 (fabs.f64 (*.f64 (neg.f64 y) y)) (fabs.f64 (*.f64 (neg.f64 y) y)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) y))
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 y y)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 y y) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)))
(*.f64 (*.f64 y y) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))
(*.f64 (*.f64 y (fabs.f64 y)) (fabs.f64 y))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) y))
(*.f64 (*.f64 (neg.f64 y) y) (neg.f64 y))
(*.f64 (*.f64 y y) y)
(*.f64 y (*.f64 y y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 y #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3 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 (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) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (*.f64 y 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 #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 (*.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))))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 y)) (-.f64 #s(literal 1 binary64) (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) y) (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (*.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 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.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 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(neg.f64 (fma.f64 y y #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)))
(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)) (fabs.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 y)) (fabs.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 (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) 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) (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y 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 (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (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 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(-.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.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))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (neg.f64 (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 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
#s(approx (* (* y x) y) (*.f64 (*.f64 x y) y))
#s(approx (* y x) (*.f64 x y))
#s(approx x x)
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) x)
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
#s(approx y y)
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) x)
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) x)
#s(approx (* (- 1 (* (* (* y y) y) y)) x) (-.f64 x (*.f64 x (pow.f64 y #s(literal 4 binary64)))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(literal 1 binary64))
#s(approx (- 1 (* (* (* y y) y) y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (* (* y y) y) y) (pow.f64 y #s(literal 4 binary64)))
#s(approx (* (* y y) y) (pow.f64 y #s(literal 3 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx (- 1 (* y y)) #s(literal 1 binary64))
#s(approx (- 1 (* y y)) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (*.f64 x y) y))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (fma.f64 x (pow.f64 y #s(literal -2 binary64)) x) (*.f64 y y)))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (*.f64 x y) y))
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (fma.f64 x (pow.f64 y #s(literal -2 binary64)) x) (*.f64 y y)))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) (*.f64 (fma.f64 x (pow.f64 y #s(literal -4 binary64)) (neg.f64 x)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- 1 (* (* (* y y) y) y)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (- 1 (* (* (* y y) y) y)) (*.f64 (-.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))
#s(approx (- 1 (* y y)) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) y) y))

eval28.0ms (2.1%)

Memory
-31.2MiB live, 61.0MiB allocated; 9ms collecting garbage
Compiler

Compiled 4 921 to 946 computations (80.8% saved)

prune5.0ms (0.3%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2571258
Fresh000
Picked112
Done033
Total2585263
Accuracy
100.0%
Counts
263 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x y) y x)
12.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) x) #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)))
44.0%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
49.0%
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (*.f64 y x) y))
54.9%
#s(approx (* x (+ 1 (* y y))) x)
Compiler

Compiled 67 to 47 computations (29.9% saved)

series9.0ms (0.7%)

Memory
24.2MiB live, 24.2MiB allocated; 0ms collecting garbage
Counts
12 → 25
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) x) #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 y y) y) y)
(*.f64 (*.f64 y y) y)
(*.f64 y y)
y
x
#s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
Outputs
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* x (- 1 (pow y 4)))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 1))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (* (* (* y y) y) y) #s(hole binary64 (pow y 4)))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* -1 (* x (pow y 4)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- 1 (* (* (* y y) y) y)) #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
2.0ms
y
@inf
((/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) y x (- 1 (* y y)) (* (neg y) y) (neg y))
2.0ms
y
@-inf
((/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) y x (- 1 (* y y)) (* (neg y) y) (neg y))
1.0ms
x
@-inf
((/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) y x (- 1 (* y y)) (* (neg y) y) (neg y))
1.0ms
y
@0
((/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) y x (- 1 (* y y)) (* (neg y) y) (neg y))
1.0ms
x
@inf
((/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* (* (* y y) y) y)) 1 (* (* (* y y) y) y) (* (* y y) y) (* y y) y x (- 1 (* y y)) (* (neg y) y) (neg y))

rewrite148.0ms (10.8%)

Memory
-33.1MiB live, 153.5MiB allocated; 103ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080461
092373
1333329
02244320
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
37 → 182
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) x) #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 y y) y) y)
(*.f64 (*.f64 y y) y)
(*.f64 y y)
y
x
#s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (/ (* x (- 1 (pow y 4))) (- 1 (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* x (- 1 (pow y 4)))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (+ x (* x (pow y 2)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 x))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (+ x (* -1 (* x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 1))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (+ 1 (* -1 (pow y 4)))))
#s(approx (* (* (* y y) y) y) #s(hole binary64 (pow y 4)))
#s(approx (* (* y y) y) #s(hole binary64 (pow y 3)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- 1 (* y y)) #s(hole binary64 1))
#s(approx (- 1 (* y y)) #s(hole binary64 (+ 1 (* -1 (pow y 2)))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* x (pow y 2))))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) #s(hole binary64 (* (pow y 2) (+ x (/ x (pow y 2))))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* -1 (* x (pow y 4)))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) #s(hole binary64 (* (pow y 4) (+ (* -1 x) (/ x (pow y 4))))))
#s(approx (- 1 (* (* (* y y) y) y)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- 1 (* (* (* y y) y) y)) #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 x #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))) (-.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 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))))
(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 x #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)))) (+.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 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)))))
(/.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)) #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))))
(/.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))) #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (neg.f64 #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)))))
(*.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))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) y #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) y #s(literal 1 binary64))
(fma.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 y y) #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 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (*.f64 (neg.f64 y) y) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 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) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (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 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) y))
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (/.f64 #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 (neg.f64 (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 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 y y) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 y (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y)
(*.f64 (*.f64 (fabs.f64 y) (neg.f64 y)) (*.f64 (fabs.f64 y) (neg.f64 y)))
(*.f64 (*.f64 (fabs.f64 y) y) (*.f64 (fabs.f64 y) y))
(*.f64 (*.f64 (neg.f64 y) (fabs.f64 y)) (*.f64 (neg.f64 y) (fabs.f64 y)))
(*.f64 (*.f64 y (fabs.f64 y)) (*.f64 y (fabs.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (fabs.f64 (*.f64 (neg.f64 y) y)) (fabs.f64 (*.f64 (neg.f64 y) y)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) y))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 y y)))
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 y y) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))
(*.f64 (*.f64 y (fabs.f64 y)) (fabs.f64 y))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 (neg.f64 y) y) (neg.f64 y))
(*.f64 (*.f64 y y) y)
(*.f64 y (*.f64 y y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 y #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))))
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) 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) (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) y) (*.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) y) y)
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.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 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y (*.f64 #s(literal -1 binary64) (neg.f64 y)))
(*.f64 y y)
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #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 (*.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
x
#s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) y)
(*.f64 (*.f64 #s(literal 1 binary64) y) (neg.f64 y))
(*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) #s(literal -1 binary64)))
(*.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) y)
(*.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal -1 binary64))
(*.f64 y (neg.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) y)) #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 (*.f64 y #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) y))
(neg.f64 y)
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x))
#s(approx x x)
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) x)
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) x)
#s(approx (* (- 1 (* (* (* y y) y) y)) x) (-.f64 x (*.f64 (pow.f64 y #s(literal 4 binary64)) x)))
#s(approx (- 1 (* (* (* y y) y) y)) #s(literal 1 binary64))
#s(approx (- 1 (* (* (* y y) y) y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (* (* y y) y) y) (pow.f64 y #s(literal 4 binary64)))
#s(approx (* (* y y) y) (pow.f64 y #s(literal 3 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (- 1 (* y y)) #s(literal 1 binary64))
#s(approx (- 1 (* y y)) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
#s(approx (* (neg y) y) (*.f64 (neg.f64 y) y))
#s(approx (neg y) (neg.f64 y))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (*.f64 (*.f64 y y) x))
#s(approx (/ (* (- 1 (* (* (* y y) y) y)) x) (- 1 (* y y))) (*.f64 (fma.f64 x (pow.f64 y #s(literal -2 binary64)) x) (*.f64 y y)))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) (*.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (- 1 (* (* (* y y) y) y)) x) (*.f64 (fma.f64 x (pow.f64 y #s(literal -4 binary64)) (neg.f64 x)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- 1 (* (* (* y y) y) y)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (- 1 (* (* (* y y) y) y)) (*.f64 (-.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))
#s(approx (- 1 (* y y)) (*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) y) y))

eval25.0ms (1.8%)

Memory
15.5MiB live, 70.7MiB allocated; 7ms collecting garbage
Compiler

Compiled 4 184 to 780 computations (81.4% saved)

prune15.0ms (1.1%)

Memory
-17.6MiB live, 23.9MiB allocated; 10ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1770177
Fresh000
Picked011
Done044
Total1775182
Accuracy
100.0%
Counts
182 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x y) y x)
12.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) x) #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)))
44.0%
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
49.0%
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (*.f64 y x) y))
54.9%
#s(approx (* x (+ 1 (* y y))) x)
Compiler

Compiled 171 to 86 computations (49.7% saved)

regimes22.0ms (1.6%)

Memory
10.8MiB live, 55.6MiB allocated; 9ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* x (+ 1 (* y y))) x)
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (*.f64 y x) y))
(*.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) x) #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y)) x) (-.f64 #s(literal 1 binary64) (*.f64 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)))
Outputs
(fma.f64 (*.f64 x y) y x)
Calls

5 calls:

10.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
3.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
3.0ms
x
3.0ms
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)

regimes7.0ms (0.5%)

Memory
31.4MiB live, 31.4MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* x (+ 1 (* y y))) x)
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (*.f64 y x) y))
(*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y)))
Outputs
#s(approx (* x (+ 1 (* y y))) x)
#s(approx (/ (* (- 1 (pow y 4)) x) (- 1 (* y y))) (*.f64 (*.f64 y x) y))
Calls

5 calls:

1.0ms
y
1.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
1.0ms
x
1.0ms
(*.f64 y y)
1.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Results
AccuracySegmentsBranch
99.1%2(*.f64 y y)
99.1%2(+.f64 #s(literal 1 binary64) (*.f64 y y))
82.1%2(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
56.5%2x
99.1%2y
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes15.0ms (1.1%)

Memory
-26.0MiB live, 16.8MiB allocated; 10ms 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:

10.0ms
y
1.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
1.0ms
x
1.0ms
(*.f64 y y)
1.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Results
AccuracySegmentsBranch
54.9%1x
54.9%1(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
54.9%1(*.f64 y y)
54.9%1(+.f64 #s(literal 1 binary64) (*.f64 y y))
54.9%1y
Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch8.0ms (0.6%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
0.23148851948269603
12.846144759126155
Samples
4.0ms112×0valid
Compiler

Compiled 206 to 165 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult!: 1.0ms (74.9% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations36.0ms (2.6%)

Memory
-34.3MiB live, 19.3MiB allocated; 19ms collecting garbage
Stop Event
done
Compiler

Compiled 47 to 21 computations (55.3% saved)

preprocess38.0ms (2.8%)

Memory
24.7MiB live, 73.8MiB allocated; 3ms collecting garbage
Remove

(negabs x)

(abs y)

Compiler

Compiled 374 to 222 computations (40.6% saved)

end0.0ms (0%)

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

Profiling

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