Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

Time bar (total: 1.6s)

start0.0ms (0%)

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

analyze24.0ms (1.5%)

Memory
-29.1MiB live, 14.6MiB allocated; 13ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample679.0ms (42.4%)

Memory
19.9MiB live, 737.2MiB allocated; 89ms collecting garbage
Samples
389.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 199.0ms
ival-mult: 88.0ms (44.2% of total)
ival-div: 53.0ms (26.6% of total)
ival-add: 47.0ms (23.6% of total)
exact: 6.0ms (3% of total)
ival-assert: 3.0ms (1.5% of total)
adjust: 2.0ms (1% of total)
Bogosity

explain57.0ms (3.6%)

Memory
26.0MiB live, 73.3MiB allocated; 2ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-0-(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
00-0-(+.f64 y #s(literal 1 binary64))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))o/n360
(*.f64 x y)overflow36
Confusion
Predicted +Predicted -
+360
-0220
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3600
-00220
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0220
136
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms512×0valid
Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (36.4% of total)
ival-div: 3.0ms (27.3% of total)
ival-add: 3.0ms (27.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess212.0ms (13.3%)

Memory
-10.6MiB live, 183.4MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01848
14346
210944
323444
433344
591942
6708242
067
097
1157
2217
3337
4677
52767
624917
762157
082137
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y)
Symmetry

(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
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series7.0ms (0.4%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
6 → 18
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
x
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ y 1) #s(hole binary64 1))
#s(approx (+ y 1) #s(hole binary64 (+ 1 y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (+ y 1) #s(hole binary64 y))
#s(approx (+ y 1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
Calls

6 calls:

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

rewrite119.0ms (7.4%)

Memory
-2.3MiB live, 94.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069266
070251
1377238
03433234
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
24 → 65
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
x
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ y 1) #s(hole binary64 1))
#s(approx (+ y 1) #s(hole binary64 (+ 1 y)))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 x))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (+ y 1) #s(hole binary64 y))
#s(approx (+ y 1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (+ y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
Outputs
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)
(*.f64 (neg.f64 x) (/.f64 y (+.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) (+.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 y (/.f64 x (-.f64 y #s(literal -1 binary64))))
(*.f64 x (/.f64 y (-.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 y) x) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 y x) (neg.f64 (+.f64 (neg.f64 y) #s(literal -1 binary64))))
(/.f64 (*.f64 y x) (-.f64 y #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) (-.f64 y #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 y x) (+.f64 (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) x))
x
y
(*.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) y)
(*.f64 y (-.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1 binary64)) y) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(-.f64 y (*.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) y))
(-.f64 y (*.f64 (neg.f64 y) (pow.f64 y #s(literal -1 binary64))))
(-.f64 y #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x))
#s(approx (* x y) (*.f64 y x))
#s(approx x x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) y x) y) x) y x) y))
#s(approx y y)
#s(approx (+ y 1) #s(literal 1 binary64))
#s(approx (+ y 1) (-.f64 y #s(literal -1 binary64)))
#s(approx (/ (* x y) (+ y 1)) x)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (fma.f64 x (pow.f64 y #s(literal -2 binary64)) (-.f64 x (/.f64 x y))))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (fma.f64 x (pow.f64 y #s(literal -3 binary64)) (/.f64 (-.f64 x (/.f64 x y)) y))))
#s(approx (+ y 1) y)
#s(approx (+ y 1) (-.f64 y #s(literal -1 binary64)))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)))

eval7.0ms (0.5%)

Memory
-38.3MiB live, 8.1MiB allocated; 2ms collecting garbage
Compiler

Compiled 823 to 183 computations (77.8% saved)

prune23.0ms (1.4%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New63366
Fresh000
Picked011
Done000
Total63467
Accuracy
100.0%
Counts
67 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(/.f64 (*.f64 x y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))
86.7%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
64.6%
(*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
100.0%
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)
Compiler

Compiled 43 to 34 computations (20.9% saved)

series20.0ms (1.3%)

Memory
24.1MiB live, 24.1MiB allocated; 0ms collecting garbage
Counts
21 → 91
Calls
Call 1
Inputs
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)
(/.f64 y (-.f64 y #s(literal -1 binary64)))
y
(-.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
x
(*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 y x)
(fma.f64 y y #s(literal -1 binary64))
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 x y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y)
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(pow.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 y #s(literal -1 binary64))
Outputs
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (/ (* x (* y (- y 1))) (- (pow y 2) 1))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (/ (* x y) (- (pow y 2) 1))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (/ (* x (- 1 (/ 1 y))) (- 1 (/ 1 (pow y 2))))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (* x y)))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (/ y (- y -1)) #s(hole binary64 y))
#s(approx (/ y (- y -1)) #s(hole binary64 (* y (+ 1 (* -1 y)))))
#s(approx (/ y (- y -1)) #s(hole binary64 (* y (+ 1 (* y (- y 1))))))
#s(approx (/ y (- y -1)) #s(hole binary64 (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))))
#s(approx y #s(hole binary64 y))
#s(approx (- y -1) #s(hole binary64 1))
#s(approx (- y -1) #s(hole binary64 (+ 1 y)))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (* x y)))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (* y (+ x (* y (+ (* -1 x) (* x y)))))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* y (+ (* -1 x) (* -1 (* x (pow y 2)))))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* y (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* y (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x))))))
#s(approx (+ (* y y) -1) #s(hole binary64 -1))
#s(approx (+ (* y y) -1) #s(hole binary64 (- (pow y 2) 1)))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (* y (+ x (* y (+ (* -1 x) (* x y)))))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))))
#s(approx (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) #s(hole binary64 1))
#s(approx (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) #s(hole binary64 (+ 1 y)))
#s(approx (* (- 1 (pow y -2)) y) #s(hole binary64 (/ -1 y)))
#s(approx (* (- 1 (pow y -2)) y) #s(hole binary64 (/ (- (pow y 2) 1) y)))
#s(approx (- 1 (pow y -2)) #s(hole binary64 (/ -1 (pow y 2))))
#s(approx (- 1 (pow y -2)) #s(hole binary64 (/ (- (pow y 2) 1) (pow y 2))))
#s(approx (pow y -2) #s(hole binary64 (/ 1 (pow y 2))))
#s(approx (- 1 (pow y -1)) #s(hole binary64 (/ -1 y)))
#s(approx (- 1 (pow y -1)) #s(hole binary64 (/ (- y 1) y)))
#s(approx (pow y -1) #s(hole binary64 (/ 1 y)))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 x))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (/ y (- y -1)) #s(hole binary64 1))
#s(approx (/ y (- y -1)) #s(hole binary64 (- 1 (/ 1 y))))
#s(approx (/ y (- y -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))))
#s(approx (/ y (- y -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))
#s(approx (- y -1) #s(hole binary64 y))
#s(approx (- y -1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 x))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (/ x y)))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (/ (+ x (/ x (pow y 2))) y)))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) y)))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y)))
#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 (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 x))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))))
#s(approx (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) #s(hole binary64 y))
#s(approx (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (* (- 1 (pow y -2)) y) #s(hole binary64 y))
#s(approx (* (- 1 (pow y -2)) y) #s(hole binary64 (* y (- 1 (/ 1 (pow y 2))))))
#s(approx (- 1 (pow y -2)) #s(hole binary64 1))
#s(approx (- 1 (pow y -2)) #s(hole binary64 (- 1 (/ 1 (pow y 2)))))
#s(approx (- 1 (pow y -1)) #s(hole binary64 1))
#s(approx (- 1 (pow y -1)) #s(hole binary64 (- 1 (/ 1 y))))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (/ y (- y -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))))
#s(approx (/ y (- y -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) y))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) y))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))))
#s(approx (* (- 1 (pow y -2)) y) #s(hole binary64 (* -1 (* y (- (/ 1 (pow y 2)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* (/ y (- y -1)) x) (/ y (- y -1)) y (- y -1) -1 x (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (/ (* y x) (+ (* y y) -1)) (* y x) (+ (* y y) -1) (- y 1) 1 (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) (* (- 1 (pow y -2)) y) (- 1 (pow y -2)) (pow y -2) -2 (- 1 (pow y -1)) (pow y -1))
4.0ms
x
@0
((* (/ y (- y -1)) x) (/ y (- y -1)) y (- y -1) -1 x (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (/ (* y x) (+ (* y y) -1)) (* y x) (+ (* y y) -1) (- y 1) 1 (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) (* (- 1 (pow y -2)) y) (- 1 (pow y -2)) (pow y -2) -2 (- 1 (pow y -1)) (pow y -1))
3.0ms
x
@-inf
((* (/ y (- y -1)) x) (/ y (- y -1)) y (- y -1) -1 x (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (/ (* y x) (+ (* y y) -1)) (* y x) (+ (* y y) -1) (- y 1) 1 (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) (* (- 1 (pow y -2)) y) (- 1 (pow y -2)) (pow y -2) -2 (- 1 (pow y -1)) (pow y -1))
3.0ms
y
@-inf
((* (/ y (- y -1)) x) (/ y (- y -1)) y (- y -1) -1 x (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (/ (* y x) (+ (* y y) -1)) (* y x) (+ (* y y) -1) (- y 1) 1 (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) (* (- 1 (pow y -2)) y) (- 1 (pow y -2)) (pow y -2) -2 (- 1 (pow y -1)) (pow y -1))
2.0ms
y
@inf
((* (/ y (- y -1)) x) (/ y (- y -1)) y (- y -1) -1 x (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (/ (* y x) (+ (* y y) -1)) (* y x) (+ (* y y) -1) (- y 1) 1 (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) (* (- 1 (pow y -2)) y) (- 1 (pow y -2)) (pow y -2) -2 (- 1 (pow y -1)) (pow y -1))

rewrite164.0ms (10.3%)

Memory
-15.5MiB live, 169.1MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02731756
02951670
113881647
083021625
Stop Event
iter limit
node limit
iter limit
Counts
112 → 240
Calls
Call 1
Inputs
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)
(/.f64 y (-.f64 y #s(literal -1 binary64)))
y
(-.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
x
(*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 y x)
(fma.f64 y y #s(literal -1 binary64))
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 x y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y)
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(pow.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 y #s(literal -1 binary64))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (/ (* x y) (+ 1 y))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (/ (* x (* y (- y 1))) (- (pow y 2) 1))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (/ (* x y) (- (pow y 2) 1))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (/ (* x (- 1 (/ 1 y))) (- 1 (/ 1 (pow y 2))))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (* x y)))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (* y (+ x (* y (- (* x y) x))))))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))))
#s(approx (/ y (- y -1)) #s(hole binary64 y))
#s(approx (/ y (- y -1)) #s(hole binary64 (* y (+ 1 (* -1 y)))))
#s(approx (/ y (- y -1)) #s(hole binary64 (* y (+ 1 (* y (- y 1))))))
#s(approx (/ y (- y -1)) #s(hole binary64 (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))))
#s(approx y #s(hole binary64 y))
#s(approx (- y -1) #s(hole binary64 1))
#s(approx (- y -1) #s(hole binary64 (+ 1 y)))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (* x y)))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (* y (+ x (* y (+ (* -1 x) (* x y)))))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* -1 (* x y))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* y (+ (* -1 x) (* -1 (* x (pow y 2)))))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* y (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* y (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x))))))
#s(approx (+ (* y y) -1) #s(hole binary64 -1))
#s(approx (+ (* y y) -1) #s(hole binary64 (- (pow y 2) 1)))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (* x y)))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (* y (+ x (* -1 (* x y))))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (* y (+ x (* y (+ (* -1 x) (* x y)))))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))))
#s(approx (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) #s(hole binary64 1))
#s(approx (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) #s(hole binary64 (+ 1 y)))
#s(approx (* (- 1 (pow y -2)) y) #s(hole binary64 (/ -1 y)))
#s(approx (* (- 1 (pow y -2)) y) #s(hole binary64 (/ (- (pow y 2) 1) y)))
#s(approx (- 1 (pow y -2)) #s(hole binary64 (/ -1 (pow y 2))))
#s(approx (- 1 (pow y -2)) #s(hole binary64 (/ (- (pow y 2) 1) (pow y 2))))
#s(approx (pow y -2) #s(hole binary64 (/ 1 (pow y 2))))
#s(approx (- 1 (pow y -1)) #s(hole binary64 (/ -1 y)))
#s(approx (- 1 (pow y -1)) #s(hole binary64 (/ (- y 1) y)))
#s(approx (pow y -1) #s(hole binary64 (/ 1 y)))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 x))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (- (+ x (/ x (pow y 2))) (/ x y))))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))))
#s(approx (/ y (- y -1)) #s(hole binary64 1))
#s(approx (/ y (- y -1)) #s(hole binary64 (- 1 (/ 1 y))))
#s(approx (/ y (- y -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))))
#s(approx (/ y (- y -1)) #s(hole binary64 (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))))
#s(approx (- y -1) #s(hole binary64 y))
#s(approx (- y -1) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 x))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (/ x y)))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (/ (+ x (/ x (pow y 2))) y)))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) y)))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y)))
#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 (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 x))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (+ x (* -1 (/ x y)))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))))
#s(approx (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) #s(hole binary64 y))
#s(approx (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) #s(hole binary64 (* y (+ 1 (/ 1 y)))))
#s(approx (* (- 1 (pow y -2)) y) #s(hole binary64 y))
#s(approx (* (- 1 (pow y -2)) y) #s(hole binary64 (* y (- 1 (/ 1 (pow y 2))))))
#s(approx (- 1 (pow y -2)) #s(hole binary64 1))
#s(approx (- 1 (pow y -2)) #s(hole binary64 (- 1 (/ 1 (pow y 2)))))
#s(approx (- 1 (pow y -1)) #s(hole binary64 1))
#s(approx (- 1 (pow y -1)) #s(hole binary64 (- 1 (/ 1 y))))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (* (/ y (- y -1)) x) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))))
#s(approx (/ y (- y -1)) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))))
#s(approx (/ y (- y -1)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) y))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y))))
#s(approx (/ (* y x) (+ (* y y) -1)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) y))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) #s(hole binary64 (+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))))
#s(approx (* (- 1 (pow y -2)) y) #s(hole binary64 (* -1 (* y (- (/ 1 (pow y 2)) 1)))))
Outputs
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)
(*.f64 x (/.f64 y (-.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 (-.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 x y) (-.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (-.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 y) (neg.f64 (-.f64 y #s(literal -1 binary64))))
(/.f64 y (-.f64 y #s(literal -1 binary64)))
y
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (+.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(-.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
x
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 y #s(literal 1 binary64))))
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 (*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x y)) (*.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))))))
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(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
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(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
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(*.f64 x y)
(*.f64 y x)
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) y))) (fma.f64 y y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))))))
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(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 y y) #s(literal -1 binary64)))
(/.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 (*.f64 y y) #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) (neg.f64 y) #s(literal -1 binary64))
(fma.f64 (fabs.f64 y) (fabs.f64 y) #s(literal -1 binary64))
(fma.f64 y y #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) #s(literal -1 binary64))))
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(+.f64 (*.f64 y y) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 y y))
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(/.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))) (/.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))) (/.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))))
(*.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 x (/.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))))
(/.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))))
(/.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))))))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))))
(/.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))))
(*.f64 x y)
(*.f64 y x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -6 binary64))) y) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) y) (*.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y)
(*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (*.f64 y y))))
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(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 y y))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) #s(literal 1 binary64))) (pow.f64 y #s(literal 4 binary64)))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -4 binary64))) (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal -4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (*.f64 y y)))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 y y))
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(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -4 binary64)) (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(*.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)) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1 binary64))) (fabs.f64 (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -2 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1 binary64))
(pow.f64 y #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y y)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1 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))))
#s(literal -2 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
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(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))))
#s(approx (* (/ y (- y -1)) x) (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))))
#s(approx x x)
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) (-.f64 (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (* y x) (+ (* y y) -1)) (*.f64 x (/.f64 y (-.f64 (*.f64 y y) #s(literal 1 binary64)))))
#s(approx (* y x) (*.f64 x y))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))))
#s(approx (* y x) (*.f64 x y))
#s(approx (* (/ y (- y -1)) x) (*.f64 x y))
#s(approx (* (/ y (- y -1)) x) (*.f64 (fma.f64 (neg.f64 x) y x) y))
#s(approx (* (/ y (- y -1)) x) (*.f64 (fma.f64 (-.f64 (*.f64 x y) x) y x) y))
#s(approx (* (/ y (- y -1)) x) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x y) x)) y) x) y x) y))
#s(approx (/ y (- y -1)) y)
#s(approx (/ y (- y -1)) (*.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) y))
#s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y))
#s(approx (/ y (- y -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64)) y))
#s(approx y y)
#s(approx (- y -1) #s(literal 1 binary64))
#s(approx (- y -1) (+.f64 #s(literal 1 binary64) y))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (*.f64 x y))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (*.f64 (fma.f64 (fma.f64 x y (neg.f64 x)) y x) y))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x y) x)) y (neg.f64 x)) y x) y))
#s(approx (/ (* y x) (+ (* y y) -1)) (*.f64 (neg.f64 x) y))
#s(approx (/ (* y x) (+ (* y y) -1)) (*.f64 (fma.f64 (neg.f64 x) (*.f64 y y) (neg.f64 x)) y))
#s(approx (/ (* y x) (+ (* y y) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 y y)) x) (*.f64 y y) (neg.f64 x)) y))
#s(approx (/ (* y x) (+ (* y y) -1)) (*.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 y y)) x) (*.f64 y y)) x) (*.f64 y y) (neg.f64 x)) y))
#s(approx (+ (* y y) -1) #s(literal -1 binary64))
#s(approx (+ (* y y) -1) (-.f64 (*.f64 y y) #s(literal 1 binary64)))
#s(approx (- y 1) #s(literal -1 binary64))
#s(approx (- y 1) (-.f64 y #s(literal 1 binary64)))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (*.f64 x y))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (*.f64 (fma.f64 (neg.f64 x) y x) y))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (*.f64 (fma.f64 (fma.f64 x y (neg.f64 x)) y x) y))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x y) x)) y (neg.f64 x)) y x) y))
#s(approx (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) #s(literal 1 binary64))
#s(approx (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) (+.f64 #s(literal 1 binary64) y))
#s(approx (* (- 1 (pow y -2)) y) (/.f64 #s(literal -1 binary64) y))
#s(approx (* (- 1 (pow y -2)) y) (/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (- 1 (pow y -2)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
#s(approx (- 1 (pow y -2)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))))
#s(approx (pow y -2) (pow.f64 y #s(literal -2 binary64)))
#s(approx (- 1 (pow y -1)) (/.f64 #s(literal -1 binary64) y))
#s(approx (- 1 (pow y -1)) (/.f64 (-.f64 y #s(literal 1 binary64)) y))
#s(approx (pow y -1) (pow.f64 y #s(literal -1 binary64)))
#s(approx (* (/ y (- y -1)) x) x)
#s(approx (* (/ y (- y -1)) x) (-.f64 x (/.f64 x y)))
#s(approx (* (/ y (- y -1)) x) (-.f64 (+.f64 (/.f64 x (*.f64 y y)) x) (/.f64 x y)))
#s(approx (* (/ y (- y -1)) x) (-.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) x) (fma.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64) (/.f64 x y))))
#s(approx (/ y (- y -1)) #s(literal 1 binary64))
#s(approx (/ y (- y -1)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
#s(approx (/ y (- y -1)) (-.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))))
#s(approx (/ y (- y -1)) (-.f64 (-.f64 (+.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) (pow.f64 y #s(literal -3 binary64))))
#s(approx (- y -1) y)
#s(approx (- y -1) (fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) x)
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (-.f64 x (/.f64 x y)))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (neg.f64 x) (*.f64 y y))))
#s(approx (/ (* y x) (+ (* y y) -1)) (/.f64 x y))
#s(approx (/ (* y x) (+ (* y y) -1)) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) x) y))
#s(approx (/ (* y x) (+ (* y y) -1)) (/.f64 (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (/.f64 (neg.f64 x) (*.f64 y y))) y))
#s(approx (/ (* y x) (+ (* y y) -1)) (/.f64 (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) x) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 y y)))) y))
#s(approx (+ (* y y) -1) (*.f64 y y))
#s(approx (+ (* y y) -1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) (*.f64 y y)))
#s(approx (- y 1) y)
#s(approx (- y 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) x)
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (-.f64 x (/.f64 x y)))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (neg.f64 x) (*.f64 y y))))
#s(approx (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) y)
#s(approx (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1))) (fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)))
#s(approx (* (- 1 (pow y -2)) y) y)
#s(approx (* (- 1 (pow y -2)) y) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y))
#s(approx (- 1 (pow y -2)) #s(literal 1 binary64))
#s(approx (- 1 (pow y -2)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))))
#s(approx (- 1 (pow y -1)) #s(literal 1 binary64))
#s(approx (- 1 (pow y -1)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
#s(approx (* (/ y (- y -1)) x) (fma.f64 (/.f64 (-.f64 x (/.f64 x y)) y) #s(literal -1 binary64) x))
#s(approx (* (/ y (- y -1)) x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (/.f64 x y)) y) #s(literal -1 binary64) x) y) #s(literal -1 binary64) x))
#s(approx (/ y (- y -1)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) y) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (/ y (- y -1)) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) y) #s(literal -1 binary64) #s(literal 1 binary64)) y) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (fma.f64 (/.f64 (-.f64 x (/.f64 x y)) y) #s(literal -1 binary64) x))
#s(approx (* (/ (* y x) (+ (* y y) -1)) (- y 1)) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x y) x)) y) #s(literal -1 binary64) x) y) #s(literal -1 binary64) x))
#s(approx (/ (* y x) (+ (* y y) -1)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (*.f64 y y)) x)) y)))
#s(approx (/ (* y x) (+ (* y y) -1)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (*.f64 y y)) x) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64)))) y)))
#s(approx (/ (* y x) (+ (* y y) -1)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (*.f64 y y)) x) (fma.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64))))) y)))
#s(approx (- y 1) (*.f64 (neg.f64 y) (-.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (fma.f64 (/.f64 (-.f64 x (/.f64 x y)) y) #s(literal -1 binary64) x))
#s(approx (/ (* x y) (/ (* (- 1 (pow y -2)) y) (- 1 (pow y -1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x y) x)) y) #s(literal -1 binary64) x) y) #s(literal -1 binary64) x))
#s(approx (* (- 1 (pow y -2)) y) (*.f64 (neg.f64 y) (-.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))))

eval28.0ms (1.7%)

Memory
15.0MiB live, 61.1MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 182 to 933 computations (82% saved)

prune221.0ms (13.8%)

Memory
-29.2MiB live, 314.4MiB allocated; 31ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2620262
Fresh000
Picked033
Done011
Total2624266
Accuracy
100.0%
Counts
266 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(/.f64 (*.f64 x y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))
86.7%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
64.6%
(*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
100.0%
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)
Compiler

Compiled 86 to 57 computations (33.7% saved)

regimes5.0ms (0.3%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Accuracy

Total -31.1b remaining (-159450.3%)

Threshold costs -31.1b (-159450.3%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)
(*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))))
Outputs
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
100.0%1x
100.0%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify10.0ms (0.6%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
2127
3137
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)
Outputs
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)

derivations14.0ms (0.9%)

Memory
-41.3MiB live, 6.0MiB allocated; 1ms collecting garbage
Stop Event
done
Compiler

Compiled 7 to 6 computations (14.3% saved)

preprocess11.0ms (0.7%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 42 to 36 computations (14.3% saved)

end0.0ms (0%)

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

Profiling

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