Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze16.0ms (0.3%)

Memory
17.7MiB live, 17.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
66.7%50%25%0.1%0%25%0%4
66.7%50%25%0.1%0%25%0%5
80%50%12.5%0.1%0%37.5%0%6
80%50%12.5%0.1%0%37.5%0%7
88.9%50%6.2%0.1%0%43.7%0%8
88.9%50%6.2%0.1%0%43.7%0%9
94.1%50%3.1%0.1%0%46.8%0%10
94.1%50%3.1%0.1%0%46.8%0%11
97%50%1.6%0.1%0%48.4%0%12
Compiler

Compiled 10 to 9 computations (10% saved)

sample791.0ms (15%)

Memory
24.3MiB live, 1 108.2MiB allocated
Samples
517.0ms8 253×0valid
14.0ms226×0invalid
0.0ms2×2valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 291.0ms
ival-mult: 100.0ms (34.3% of total)
ival-sqrt: 67.0ms (23% of total)
ival-sub: 59.0ms (20.3% of total)
ival-add: 50.0ms (17.2% of total)
ival-true: 6.0ms (2.1% of total)
exact: 6.0ms (2.1% of total)
ival-assert: 4.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain101.0ms (1.9%)

Memory
-21.2MiB live, 125.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
00-0-(sqrt.f64 x)
00-0-y
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(*.f64 y (sqrt.f64 x))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
55.0ms512×0valid
Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (30.1% of total)
ival-sqrt: 4.0ms (30.1% of total)
ival-sub: 3.0ms (22.6% of total)
ival-add: 2.0ms (15% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (0.3%)

Memory
22.5MiB live, 22.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01946
14946
29346
314646
420346
521446
622246
078
0118
1208
2328
3488
4638
5648
6668
0667
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify8.0ms (0.1%)

Memory
-38.8MiB live, 6.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y (sqrt.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff1
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
12020
23220
34820
46320
56420
66620
06619
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
y
(sqrt.f64 x)

localize39.0ms (0.7%)

Memory
2.8MiB live, 47.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0
(sqrt.f64 x)
accuracy0.0078125
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy0.25390625
(*.f64 y (sqrt.f64 x))
Samples
28.0ms256×0valid
Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 4.0ms (26.9% of total)
ival-sqrt: 4.0ms (26.9% of total)
ival-sub: 3.0ms (20.2% of total)
ival-add: 3.0ms (20.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
4 → 19
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
Calls

6 calls:

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

simplify93.0ms (1.8%)

Memory
14.7MiB live, 114.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052128
1140122
2452122
31320118
43735118
57972118
08111107
Stop Event
1×iter limit
1×node limit
Counts
19 → 19
Calls
Call 1
Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt x)
(sqrt.f64 x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)

rewrite212.0ms (4%)

Memory
-10.0MiB live, 177.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01117
14817
234117
3439817
0836316
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 184
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 y (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y x (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
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(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))

eval37.0ms (0.7%)

Memory
2.6MiB live, 46.6MiB allocated
Compiler

Compiled 5 080 to 633 computations (87.5% saved)

prune8.0ms (0.1%)

Memory
21.6MiB live, 21.6MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1879196
Fresh000
Picked101
Done000
Total1889197
Accuracy
100.0%
Counts
197 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
▶74.0%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
▶99.9%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶50.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
75.4%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))))
91.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
69.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶57.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶63.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
Compiler

Compiled 298 to 194 computations (34.9% saved)

simplify194.0ms (3.7%)

Memory
-9.2MiB live, 197.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64)))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff1
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff1
(/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
cost-diff8
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
cost-diff0
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032245
058243
1108236
2255235
31335235
45149234
08156231
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(fma.f64 (sqrt.f64 x) y x)
(sqrt.f64 x)
y
(/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(*.f64 (neg.f64 y) (*.f64 y x))
(neg.f64 y)
(*.f64 y x)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))
(fma.f64 (neg.f64 y) (sqrt.f64 x) x)
(neg.f64 y)
y
(sqrt.f64 x)
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64))
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y y) x)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 x) y x)
(fma.f64 y (sqrt.f64 x) x)
(sqrt.f64 x)
y
(/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(*.f64 (*.f64 y y) (/.f64 x (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 y) (*.f64 y x))
(*.f64 (neg.f64 x) (*.f64 y y))
(neg.f64 y)
(*.f64 y x)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))) (fma.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))
(fma.f64 (neg.f64 y) (sqrt.f64 x) x)
(neg.f64 y)
y
(sqrt.f64 x)
x
#s(literal 3 binary64)
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64))
(+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64))

localize129.0ms (2.5%)

Memory
-30.2MiB live, 166.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.11365131837909412
(pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))
accuracy0.11460878907376808
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0.12109375
(fma.f64 (neg.f64 y) (sqrt.f64 x) x)
accuracy30.757941269254108
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy0.1015625
(*.f64 (neg.f64 y) (*.f64 y x))
accuracy0.12109375
(fma.f64 (sqrt.f64 x) y x)
accuracy4.624187501873931
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy16.195824138730387
(/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy0.08203125
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy0.13671875
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy5.535672821190892
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
accuracy17.62134938801863
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy27.4817427536492
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0
(sqrt.f64 x)
accuracy0.09375
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Samples
105.0ms256×0valid
Compiler

Compiled 254 to 35 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 57.0ms (66.7% of total)
ival-add: 10.0ms (11.7% of total)
ival-div: 6.0ms (7% of total)
ival-sqrt: 4.0ms (4.7% of total)
ival-sub: 3.0ms (3.5% of total)
ival-pow: 3.0ms (3.5% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series86.0ms (1.6%)

Memory
7.7MiB live, 52.8MiB allocated
Counts
18 → 173
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64)))
(pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 x) y x)
(*.f64 (neg.f64 y) (*.f64 y x))
(fma.f64 (neg.f64 y) (sqrt.f64 x) x)
Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(/ 1 (- 1 (* (sqrt x) y)))
(+ (* x (- (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (* 2 (/ 1 (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (- 1 (* (sqrt x) y)))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (* 2 (/ 1 (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (+ (* x (- (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3))) (* -1 (/ (- (/ 1 (- 1 (* (sqrt x) y))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (* 2 (/ 1 (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))
(* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y))))))
(* x (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))))))
(* x (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (* x (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3)))))))))
(+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (pow (- 1 (* (sqrt x) y)) 2)) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y)))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))))
(+ 1 (+ (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))) (* x (+ 1 (* -2 (* (sqrt x) y))))))
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(* x (pow y 2))
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(* (pow y 2) (+ x (+ (* -1 (* (sqrt x) (/ (+ 1 x) y))) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 y))) (+ (/ 1 (pow y 2)) (/ (* x (+ 1 x)) (pow y 2)))))))
(* y (- (+ (sqrt x) (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (* x y)))) (* (sqrt (/ 1 x)) (/ (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (+ 1 x)))) y))))
(* y (- (+ (sqrt x) (+ (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (* x (pow y 2)))) (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (* x y))))) (+ (* (sqrt (/ 1 x)) (/ (+ 1 (* x (+ 1 x))) (pow y 2))) (+ (* (sqrt (/ 1 x)) (/ (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (+ 1 x)))) y)) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (+ 1 x)))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (+ 1 x))))))) (* x (pow y 2)))))))
(* y (- (+ (sqrt x) (+ (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (* x (pow y 2)))) (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) (* x y))) (/ 1 (* x (pow y 3)))))) (+ (* (sqrt (/ 1 x)) (/ (+ 1 (* x (+ 1 x))) (pow y 2))) (+ (* (sqrt (/ 1 x)) (/ (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (+ 1 x)))) y)) (+ (/ (* (+ 1 (* x (+ 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (+ 1 x))))))) (* x (pow y 3))) (+ (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (+ 1 x)))) (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) x)) (+ (* (sqrt (/ 1 x)) (+ 1 (* x (+ 1 x)))) (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (+ 1 x)))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (+ 1 x))))))) x)))) (* x (pow y 3))) (+ (/ (* (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (+ 1 x)))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* (sqrt (/ 1 x)) (+ (* -1 (sqrt (pow x 3))) (* -1 (* (sqrt x) (+ 1 x))))))) (* x (pow y 2))) (/ (pow x 2) (pow y 3)))))))))
(* (sqrt (pow x 3)) (pow y 3))
(* (pow y 3) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) y)) (* -1 (sqrt (pow x 3)))))
(* (pow y 3) (- (* -1 (/ (+ (* -2 (sqrt (pow x 5))) (* -1 (sqrt (pow x 5)))) (pow y 2))) (+ (* -1 (sqrt (pow x 3))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y)))))
(* (pow y 3) (- (/ 1 (pow y 3)) (+ (* -2 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* -1 (sqrt (pow x 3))) (+ (* -1 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* 2 (/ (pow x 2) y)) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 3)))))))))
(* (pow y 3) (+ (* -1 (sqrt (pow x 3))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y))))
(* (pow y 3) (+ (* -2 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* -1 (sqrt (pow x 3))) (+ (* -1 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y))))))
(* (pow y 3) (+ (* -2 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* -1 (sqrt (pow x 3))) (+ (* -1 (* (sqrt (pow x 5)) (/ 1 (pow y 2)))) (+ (* 2 (/ (pow x 2) y)) (+ (/ (pow x 2) y) (/ (pow x 3) (pow y 3))))))))
(* y (+ (sqrt x) (/ x y)))
(* y (+ (* -1 (sqrt x)) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) y))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) x)) (/ (pow (- 1 x) 3) x)) y)) (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) (* -1 (- x 1))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (/ (* (pow (- 1 x) 2) (- x 1)) (* x y))) y))) y)))))
(* -1 (/ (+ (* (sqrt (/ 1 x)) (- 1 x)) (/ (pow (- 1 x) 2) (* x y))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) y))) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (- 1 x) 4) (* (pow x 2) y)) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 3)))) y)) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(* (pow y 2) (+ x (* -1 (/ (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) y))))
(* (pow y 2) (+ x (* -1 (/ (+ (sqrt (pow x 3)) (+ (* -1 (/ (+ 1 (* x (+ 1 x))) y)) (* (sqrt x) (+ 1 x)))) y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x)))))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (/ (- (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (+ 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))))))) x))) y))) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x)))))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (/ (- (+ (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (* -1 (/ (- (/ 1 x) (+ (/ (* (+ 1 (* x (+ 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))))))) x) (+ (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) (- (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (+ 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))))))) x)))) x) (pow x 2)))) y))) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (+ 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))))))) x))) y))) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x)))))) y)))))
(* -1 (* (pow y 3) (- (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y)) (sqrt (pow x 3)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (+ (* 2 (* (sqrt (pow x 5)) (/ 1 y))) (* (sqrt (pow x 5)) (/ 1 y))) (+ (* 2 (pow x 2)) (pow x 2))) y)) (sqrt (pow x 3)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 3)) y)) (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5))))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)) (sqrt (pow x 3)))))
(* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) y)))))
(* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)))))
(* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* -1 (/ (+ (sqrt (pow x 5)) (+ (* -1 (/ (pow x 3) y)) (* 2 (sqrt (pow x 5))))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))
(* -1 (* y (+ (sqrt x) (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
44.0ms
x
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (+ (* (neg y) (sqrt x)) x) (+ (+ (* (neg y) (sqrt x)) x) 1)) 1) (/ (- 1 (pow (+ (* (neg y) (sqrt x)) x) 3)) (+ (* (+ (* (neg y) (sqrt x)) x) (+ (+ (* (neg y) (sqrt x)) x) 1)) 1)) (- 1 (pow (+ (* (neg y) (sqrt x)) x) 3)) (pow (+ (* (neg y) (sqrt x)) x) 3) (+ (* (sqrt x) y) x) (* (neg y) (* y x)) (+ (* (neg y) (sqrt x)) x))
11.0ms
y
@0
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (+ (* (neg y) (sqrt x)) x) (+ (+ (* (neg y) (sqrt x)) x) 1)) 1) (/ (- 1 (pow (+ (* (neg y) (sqrt x)) x) 3)) (+ (* (+ (* (neg y) (sqrt x)) x) (+ (+ (* (neg y) (sqrt x)) x) 1)) 1)) (- 1 (pow (+ (* (neg y) (sqrt x)) x) 3)) (pow (+ (* (neg y) (sqrt x)) x) 3) (+ (* (sqrt x) y) x) (* (neg y) (* y x)) (+ (* (neg y) (sqrt x)) x))
8.0ms
x
@inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (+ (* (neg y) (sqrt x)) x) (+ (+ (* (neg y) (sqrt x)) x) 1)) 1) (/ (- 1 (pow (+ (* (neg y) (sqrt x)) x) 3)) (+ (* (+ (* (neg y) (sqrt x)) x) (+ (+ (* (neg y) (sqrt x)) x) 1)) 1)) (- 1 (pow (+ (* (neg y) (sqrt x)) x) 3)) (pow (+ (* (neg y) (sqrt x)) x) 3) (+ (* (sqrt x) y) x) (* (neg y) (* y x)) (+ (* (neg y) (sqrt x)) x))
8.0ms
x
@0
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (+ (* (neg y) (sqrt x)) x) (+ (+ (* (neg y) (sqrt x)) x) 1)) 1) (/ (- 1 (pow (+ (* (neg y) (sqrt x)) x) 3)) (+ (* (+ (* (neg y) (sqrt x)) x) (+ (+ (* (neg y) (sqrt x)) x) 1)) 1)) (- 1 (pow (+ (* (neg y) (sqrt x)) x) 3)) (pow (+ (* (neg y) (sqrt x)) x) 3) (+ (* (sqrt x) y) x) (* (neg y) (* y x)) (+ (* (neg y) (sqrt x)) x))
6.0ms
y
@inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (+ (* (neg y) (sqrt x)) x) (+ (+ (* (neg y) (sqrt x)) x) 1)) 1) (/ (- 1 (pow (+ (* (neg y) (sqrt x)) x) 3)) (+ (* (+ (* (neg y) (sqrt x)) x) (+ (+ (* (neg y) (sqrt x)) x) 1)) 1)) (- 1 (pow (+ (* (neg y) (sqrt x)) x) 3)) (pow (+ (* (neg y) (sqrt x)) x) 3) (+ (* (sqrt x) y) x) (* (neg y) (* y x)) (+ (* (neg y) (sqrt x)) x))

simplify187.0ms (3.6%)

Memory
5.8MiB live, 185.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09587072
133226505
091506186
Stop Event
1×iter limit
1×node limit
Counts
173 → 172
Calls
Call 1
Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(/ 1 (- 1 (* (sqrt x) y)))
(+ (* x (- (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (* 2 (/ 1 (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (- 1 (* (sqrt x) y)))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (* 2 (/ 1 (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (+ (* x (- (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3))) (* -1 (/ (- (/ 1 (- 1 (* (sqrt x) y))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (* 2 (/ 1 (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))
(* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y))))))
(* x (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))))))
(* x (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (* x (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3)))))))))
(+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (pow (- 1 (* (sqrt x) y)) 2)) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y)))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))))
(+ 1 (+ (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))) (* x (+ 1 (* -2 (* (sqrt x) y))))))
(+ 1 (+ (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))) (* x (+ 1 (+ x (* -2 (* (sqrt x) y)))))))
(/ (- 1 (* -1 (* (sqrt (pow x 3)) (pow y 3)))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))
(- (+ (* x (- (* -1 (/ (+ (* 2 (* x (pow y 2))) (* x (pow y 2))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))) (/ (* (+ 1 (* -2 (* (sqrt x) y))) (- 1 (* -1 (* (sqrt (pow x 3)) (pow y 3))))) (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2)))) (/ 1 (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))) (* -1 (* (sqrt (pow x 3)) (/ (pow y 3) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))))))))
(- (+ (* x (- (+ (* -1 (/ (+ (* 2 (* x (pow y 2))) (* x (pow y 2))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))) (* x (- (+ (* -1 (* (sqrt (pow x 3)) (/ (pow y 3) (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2)))) (* -1 (/ (+ (* -2 (* (sqrt x) y)) (* -1 (* (sqrt x) y))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))))))) (+ (/ 1 (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2)) (/ (* (+ 1 (* -2 (* (sqrt x) y))) (- (* -1 (/ (+ (* 2 (* x (pow y 2))) (* x (pow y 2))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))) (/ (* (+ 1 (* -2 (* (sqrt x) y))) (- 1 (* -1 (* (sqrt (pow x 3)) (pow y 3))))) (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2)))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))))))))) (/ (* (+ 1 (* -2 (* (sqrt x) y))) (- 1 (* -1 (* (sqrt (pow x 3)) (pow y 3))))) (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2)))) (/ 1 (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))) (* -1 (* (sqrt (pow x 3)) (/ (pow y 3) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))))))))
(- (+ (* x (- (+ (* -1 (/ (+ (* 2 (* x (pow y 2))) (* x (pow y 2))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))) (* x (- (+ (* -1 (* (sqrt (pow x 3)) (/ (pow y 3) (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2)))) (+ (* -1 (/ (+ (* -2 (* (sqrt x) y)) (* -1 (* (sqrt x) y))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))) (* x (- (/ (* (+ 1 (* -2 (* (sqrt x) y))) (- 1 (* -1 (* (sqrt (pow x 3)) (pow y 3))))) (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 3)) (+ (* -1 (/ (+ (* 2 (* x (pow y 2))) (* x (pow y 2))) (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2))) (+ (/ 1 (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))))) (/ (* (+ 1 (* -2 (* (sqrt x) y))) (- (+ (* -1 (* (sqrt (pow x 3)) (/ (pow y 3) (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2)))) (* -1 (/ (+ (* -2 (* (sqrt x) y)) (* -1 (* (sqrt x) y))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))))))) (+ (/ 1 (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2)) (/ (* (+ 1 (* -2 (* (sqrt x) y))) (- (* -1 (/ (+ (* 2 (* x (pow y 2))) (* x (pow y 2))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))) (/ (* (+ 1 (* -2 (* (sqrt x) y))) (- 1 (* -1 (* (sqrt (pow x 3)) (pow y 3))))) (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2)))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))))))))))) (+ (/ 1 (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2)) (/ (* (+ 1 (* -2 (* (sqrt x) y))) (- (* -1 (/ (+ (* 2 (* x (pow y 2))) (* x (pow y 2))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))) (/ (* (+ 1 (* -2 (* (sqrt x) y))) (- 1 (* -1 (* (sqrt (pow x 3)) (pow y 3))))) (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2)))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))))))))) (/ (* (+ 1 (* -2 (* (sqrt x) y))) (- 1 (* -1 (* (sqrt (pow x 3)) (pow y 3))))) (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2)))) (/ 1 (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))) (* -1 (* (sqrt (pow x 3)) (/ (pow y 3) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))))))))
(- 1 (* -1 (* (sqrt (pow x 3)) (pow y 3))))
(- (+ 1 (* -1 (* x (+ (* 2 (* x (pow y 2))) (* x (pow y 2)))))) (* -1 (* (sqrt (pow x 3)) (pow y 3))))
(- (+ 1 (* x (- (* -1 (* x (+ (* -2 (* (sqrt x) y)) (* -1 (* (sqrt x) y))))) (+ (* 2 (* x (pow y 2))) (* x (pow y 2)))))) (* -1 (* (sqrt (pow x 3)) (pow y 3))))
(- (+ 1 (* x (- (* x (- (* -1 x) (+ (* -2 (* (sqrt x) y)) (* -1 (* (sqrt x) y))))) (+ (* 2 (* x (pow y 2))) (* x (pow y 2)))))) (* -1 (* (sqrt (pow x 3)) (pow y 3))))
(* -1 (* (sqrt (pow x 3)) (pow y 3)))
(+ (* -1 (* (sqrt (pow x 3)) (pow y 3))) (* x (+ (* 2 (* x (pow y 2))) (* x (pow y 2)))))
(+ (* -1 (* (sqrt (pow x 3)) (pow y 3))) (* x (+ (* 2 (* x (pow y 2))) (+ (* x (+ (* -2 (* (sqrt x) y)) (* -1 (* (sqrt x) y)))) (* x (pow y 2))))))
(+ (* -1 (* (sqrt (pow x 3)) (pow y 3))) (* x (+ (* 2 (* x (pow y 2))) (+ (* x (+ x (+ (* -2 (* (sqrt x) y)) (* -1 (* (sqrt x) y))))) (* x (pow y 2))))))
(+ x (* (sqrt x) y))
(* -1 (* x (pow y 2)))
(* -1 (* (sqrt x) y))
(+ x (* -1 (* (sqrt x) y)))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
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(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (/ (- (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (+ 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))))))) x))) y))) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x)))))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (/ (- (+ (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (* -1 (/ (- (/ 1 x) (+ (/ (* (+ 1 (* x (+ 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))))))) x) (+ (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) (- (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (+ 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))))))) x)))) x) (pow x 2)))) y))) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (+ 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))))))) x))) y))) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x)))))) y)))))
(* -1 (* (pow y 3) (- (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y)) (sqrt (pow x 3)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (+ (* 2 (* (sqrt (pow x 5)) (/ 1 y))) (* (sqrt (pow x 5)) (/ 1 y))) (+ (* 2 (pow x 2)) (pow x 2))) y)) (sqrt (pow x 3)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 3)) y)) (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5))))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)) (sqrt (pow x 3)))))
(* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) y)))))
(* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)))))
(* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* -1 (/ (+ (sqrt (pow x 5)) (+ (* -1 (/ (pow x 3) y)) (* 2 (sqrt (pow x 5))))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))
(* -1 (* y (+ (sqrt x) (* -1 (/ x y)))))
Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(+ (* -1 x) (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 (- 1 (* (sqrt x) y)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(+ (* x (- (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (* 2 (/ 1 (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
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(+ (* x (- (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (- 1 (* (sqrt x) y)))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (* 2 (/ 1 (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
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(fma.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #s(literal -1 binary64) (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))) x (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))
(*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y))))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) x)
(* x (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))))))
(*.f64 (fma.f64 (neg.f64 (fma.f64 x (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))) x (/.f64 (neg.f64 (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x)
(* x (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (* x (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3)))))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 x (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64))) (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))))) x (/.f64 (neg.f64 (*.f64 y y)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) x (/.f64 (neg.f64 (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x)
(+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(+ (* x (- (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(fma.f64 (-.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (pow (- 1 (* (sqrt x) y)) 2)) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y)))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(fma.f64 (fma.f64 (fma.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))))
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))) (* x (+ 1 (* -2 (* (sqrt x) y))))))
(+.f64 (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x))
(+ 1 (+ (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))) (* x (+ 1 (+ x (* -2 (* (sqrt x) y)))))))
(+.f64 (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64)) x))
(/ (- 1 (* -1 (* (sqrt (pow x 3)) (pow y 3)))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(- (+ (* x (- (* -1 (/ (+ (* 2 (* x (pow y 2))) (* x (pow y 2))) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))) (/ (* (+ 1 (* -2 (* (sqrt x) y))) (- 1 (* -1 (* (sqrt (pow x 3)) (pow y 3))))) (pow (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))) 2)))) (/ 1 (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y))))))))) (* -1 (* (sqrt (pow x 3)) (/ (pow y 3) (+ 1 (* -1 (* (sqrt x) (* y (+ 1 (* -1 (* (sqrt x) y)))))))))))
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(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (- 1 x) 4) (* (pow x 2) y)) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 3)))) y)) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) y)) (*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 y)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (neg.f64 y))) (neg.f64 y))
(* (pow y 2) (+ x (* -1 (/ (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) y))))
(*.f64 (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y)) x) (*.f64 y y))
(* (pow y 2) (+ x (* -1 (/ (+ (sqrt (pow x 3)) (+ (* -1 (/ (+ 1 (* x (+ 1 x))) y)) (* (sqrt x) (+ 1 x)))) y))))
(*.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 y))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) y) #s(literal -1 binary64) x) (*.f64 y y))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x)))))) y)))))
(*.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (neg.f64 x)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y) (sqrt.f64 x))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (/ (- (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (+ 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))))))) x))) y))) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x)))))) y)))))
(*.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) x) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64)))) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (neg.f64 x)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x))) y)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y) (sqrt.f64 x))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (/ (- (+ (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (* -1 (/ (- (/ 1 x) (+ (/ (* (+ 1 (* x (+ 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))))))) x) (+ (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) (- (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) x)) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (+ 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))))))) x)))) x) (pow x 2)))) y))) (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* x (+ 1 x))))) (/ (* (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))) (- (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) x)) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x))))))) x))) y))) (* -1 (* (sqrt (/ 1 x)) (+ (sqrt (pow x 3)) (* (sqrt x) (+ 1 x)))))) y)))))
(*.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) x) (/.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (fma.f64 (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (neg.f64 x)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64)))) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (neg.f64 x)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))) x) (*.f64 x x))) y) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64)))) x))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (neg.f64 x)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x))) y)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y) (sqrt.f64 x))))
(* -1 (* (pow y 3) (- (+ (* 2 (/ (pow x 2) y)) (/ (pow x 2) y)) (sqrt (pow x 3)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x x) y)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (+ (* 2 (* (sqrt (pow x 5)) (/ 1 y))) (* (sqrt (pow x 5)) (/ 1 y))) (+ (* 2 (pow x 2)) (pow x 2))) y)) (sqrt (pow x 3)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal -3 binary64) (*.f64 x x))) (neg.f64 y)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 3)) y)) (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5))))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)) (sqrt (pow x 3)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))) y) #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x x))) (neg.f64 y)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) y)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 x x) y) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* -1 (/ (+ (sqrt (pow x 5)) (* 2 (sqrt (pow x 5)))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64)))) (neg.f64 y))) y) #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* (pow y 3) (+ (sqrt (pow x 3)) (* -1 (/ (+ (* -1 (/ (+ (sqrt (pow x 5)) (+ (* -1 (/ (pow x 3) y)) (* 2 (sqrt (pow x 5))))) y)) (+ (* 2 (pow x 2)) (pow x 2))) y)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x x) (/.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 y))) (sqrt.f64 (pow.f64 x #s(literal 5 binary64)))) (neg.f64 y))) y) #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 x y) (sqrt.f64 x))))
(* -1 (* y (+ (sqrt x) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)))

rewrite342.0ms (6.5%)

Memory
-7.4MiB live, 288.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032194
058172
1251159
22069159
09005158
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 567
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64)))
(pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 x) y x)
(*.f64 (neg.f64 y) (*.f64 y x))
(fma.f64 (neg.f64 y) (sqrt.f64 x) x)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))) (expm1.f64 (*.f64 (+.f64 (log1p.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x)) (log.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 2 binary64)) (-.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x))) (pow.f64 (*.f64 (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (*.f64 y (sqrt.f64 x)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (*.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64)) (fma.f64 (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64)) (fma.f64 (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 2 binary64))) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x))))))
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(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y x) y) (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y x) y (*.f64 x (fma.f64 (neg.f64 y) (sqrt.f64 x) x))))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 x) y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(-.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (sqrt.f64 x)) x)))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) x)
(+.f64 (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 x (fma.f64 (neg.f64 y) (sqrt.f64 x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 x (fma.f64 (neg.f64 y) (sqrt.f64 x) x)))))
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 x (*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(+.f64 x (*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 x (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 (neg.f64 y) x) y)
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 y x))
(*.f64 y (*.f64 x (neg.f64 y)))
(*.f64 y (neg.f64 (*.f64 y x)))
(*.f64 x (*.f64 (neg.f64 y) y))
(neg.f64 (*.f64 (*.f64 y x) y))
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (sqrt.f64 x) x))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 x (fma.f64 y (sqrt.f64 x) x))) (*.f64 (fma.f64 (*.f64 y x) y (*.f64 x (fma.f64 y (sqrt.f64 x) x))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 y x) y (*.f64 x (fma.f64 y (sqrt.f64 x) x))) #s(literal 2 binary64)))
(/.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x)))) (exp.f64 (log.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) x))))
(/.f64 (exp.f64 (log.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (*.f64 y x) y (*.f64 x (fma.f64 y (sqrt.f64 x) x))))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) x))
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y (*.f64 x (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) y (*.f64 x (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) y)) (fma.f64 y (sqrt.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 y y) x (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y x) y (*.f64 x (fma.f64 y (sqrt.f64 x) x)))))
(/.f64 (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) x))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y x) y) (*.f64 (neg.f64 y) (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y x) y (*.f64 x (fma.f64 y (sqrt.f64 x) x))))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(fma.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) y x)
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 y) (sqrt.f64 x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 y) (sqrt.f64 x)))
(fma.f64 y (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (sqrt.f64 x) (neg.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) x)))
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)))
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y)))
(-.f64 x (*.f64 y (sqrt.f64 x)))
(exp.f64 (log.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 x (fma.f64 y (sqrt.f64 x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y x) y (*.f64 x (fma.f64 y (sqrt.f64 x) x)))))
(+.f64 (cosh.f64 (log.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x))) (sinh.f64 (log.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x))))
(+.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)) x)
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x))) x)
(+.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) x)
(+.f64 x (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(+.f64 x (*.f64 (neg.f64 y) (sqrt.f64 x)))

eval200.0ms (3.8%)

Memory
48.8MiB live, 316.0MiB allocated
Compiler

Compiled 43 871 to 3 751 computations (91.4% saved)

prune53.0ms (1%)

Memory
-38.5MiB live, 64.1MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New9559964
Fresh224
Picked415
Done000
Total96112973
Accuracy
100.0%
Counts
973 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
86.4%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
69.3%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
▶72.3%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
69.7%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
91.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
✓57.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶63.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
36.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
30.0%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶26.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶44.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
Compiler

Compiled 452 to 306 computations (32.3% saved)

simplify102.0ms (1.9%)

Memory
34.4MiB live, 76.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
cost-diff0
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
cost-diff1
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
cost-diff0
(pow.f64 x #s(literal 1/4 binary64))
cost-diff5
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031160
044160
171154
2133153
3310153
4801153
52350153
63670153
73784153
83832153
93877153
103918153
114101153
124449153
134639153
144639153
04639147
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
y
#s(literal -1 binary64)
Outputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 x (sqrt.f64 x)) y (neg.f64 x)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)
(fma.f64 (/.f64 x (sqrt.f64 x)) y (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64))
(+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
y
#s(literal -1 binary64)

localize107.0ms (2%)

Memory
-15.3MiB live, 136.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64))
accuracy0.2578125
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
accuracy5.535672821190892
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)
accuracy17.62134938801863
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
accuracy0.0
(sqrt.f64 x)
accuracy0.0
(neg.f64 x)
accuracy0.09375
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
accuracy33.67681984667807
#s(approx (- 1 x) (neg.f64 x))
accuracy0.0
(sqrt.f64 x)
accuracy0.25390625
(*.f64 (sqrt.f64 x) y)
accuracy17.62134938801863
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
accuracy29.726537304896976
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
accuracy27.4817427536492
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy31.577898265100796
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.00390625
(pow.f64 x #s(literal 1/4 binary64))
accuracy0.10384750976844201
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
accuracy0.265625
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
Samples
88.0ms256×0valid
Compiler

Compiled 121 to 27 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 15.0ms (36.5% of total)
ival-sub: 6.0ms (14.6% of total)
ival-pow: 6.0ms (14.6% of total)
ival-add: 5.0ms (12.2% of total)
ival-div: 3.0ms (7.3% of total)
ival-sqrt: 3.0ms (7.3% of total)
ival-neg: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series152.0ms (2.9%)

Memory
-34.3MiB live, 164.6MiB allocated
Counts
17 → 34
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) y)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(sqrt x)
(* -1 x)
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (* x (- 1 (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
Calls

6 calls:

TimeVariablePointExpression
55.0ms
x
@0
((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)))
50.0ms
y
@0
((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)))
16.0ms
x
@-inf
((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)))
12.0ms
x
@inf
((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)))
11.0ms
y
@-inf
((+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (* (sqrt x) y) (sqrt x) (+ (* (sqrt x) y) (- 1 x)) (- 1 x) (neg x) (+ (* (/ 1 (sqrt x)) y) -1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (/ 1 (sqrt x)) y) -1) x) (/ 1 (sqrt x)))

simplify115.0ms (2.2%)

Memory
32.0MiB live, 122.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079234
1229224
2802218
32253214
45990214
08180199
Stop Event
1×iter limit
1×node limit
Counts
34 → 34
Calls
Call 1
Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) y)
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(sqrt x)
(* -1 x)
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -1 (* x (- 1 (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* 1 x) 1/4) y)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(+ (* -1 x) (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(sqrt x)
(sqrt.f64 x)
(* -1 x)
(neg.f64 x)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(fma.f64 (/.f64 (sqrt.f64 x) x) y #s(literal -1 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(- (* (sqrt (/ 1 x)) y) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) y)
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(*.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (sqrt x) (* -1 (/ x y))))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))

rewrite303.0ms (5.8%)

Memory
-6.1MiB live, 270.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031143
044141
1167131
2959131
08582127
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 363
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))) (*.f64 (/.f64 (*.f64 (*.f64 x y) y) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (/.f64 (*.f64 (*.f64 x y) y) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (/.f64 (*.f64 (*.f64 x y) y) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x y) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (*.f64 x y) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (*.f64 (*.f64 x y) y) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 y (-.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 x y) y))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 x y) y)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 x y) y))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 x y) y))))) (-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 x y) y))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 x y) y)))))
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(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (/.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))))
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))

eval75.0ms (1.4%)

Memory
30.8MiB live, 119.2MiB allocated
Compiler

Compiled 13 569 to 1 551 computations (88.6% saved)

prune48.0ms (0.9%)

Memory
-37.9MiB live, 26.1MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New4673470
Fresh156
Picked235
Done011
Total47012482
Accuracy
100.0%
Counts
482 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.4%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
▶69.3%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
✓72.3%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
69.7%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
▶91.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
▶63.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
▶66.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
✓57.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
36.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
▶30.0%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓26.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓44.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
Compiler

Compiled 414 to 275 computations (33.6% saved)

simplify114.0ms (2.2%)

Memory
30.3MiB live, 158.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal -1/2 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
cost-diff3
(fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
cost-diff2
(*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 y (sqrt.f64 x))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
cost-diff1
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
cost-diff0
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043284
071284
1124284
2251282
3563275
41197273
52891271
65170271
76387271
08032264
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(neg.f64 x)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(fma.f64 (sqrt.f64 x) y x)
(sqrt.f64 x)
y
#s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(neg.f64 x)
(/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(*.f64 y y)
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(*.f64 x y)
x
y
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(neg.f64 x)
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) x))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
(-.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) x)
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(neg.f64 x)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (/.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (*.f64 y y))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y (+.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(fma.f64 (sqrt.f64 x) y x)
(sqrt.f64 x)
y
#s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
#s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (/.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (*.f64 y y)))
(*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(*.f64 (/.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (*.f64 y y))
(neg.f64 x)
(/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) (sqrt.f64 x) #s(literal 1 binary64))) y)
(*.f64 y y)
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(fma.f64 (neg.f64 y) (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
(fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(*.f64 x y)
(*.f64 y x)
x
y
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(neg.f64 x)

localize127.0ms (2.4%)

Memory
-9.0MiB live, 244.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.0
(neg.f64 x)
accuracy5.323483794162219
(fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
accuracy17.62134938801863
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
accuracy4.624187501873931
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy7.783321475095074
(*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
accuracy13.11181257652575
#s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
accuracy13.593313620987756
(/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
accuracy0.0
(neg.f64 x)
accuracy0.21484375
(/.f64 y (sqrt.f64 x))
accuracy5.535672821190892
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
accuracy17.62134938801863
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
accuracy0.0
(neg.f64 x)
accuracy27.4817427536492
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy33.67681984667807
#s(approx (- 1 x) (neg.f64 x))
accuracy0.0
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
accuracy0.08203125
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy0.13671875
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy5.516141571190892
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
Samples
102.0ms256×0valid
Compiler

Compiled 230 to 39 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 32.0ms (40.5% of total)
ival-add: 22.0ms (27.9% of total)
ival-div: 8.0ms (10.1% of total)
ival-pow: 6.0ms (7.6% of total)
ival-sub: 4.0ms (5.1% of total)
ival-sqrt: 4.0ms (5.1% of total)
ival-neg: 2.0ms (2.5% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series39.0ms (0.7%)

Memory
-18.3MiB live, 26.9MiB allocated
Counts
21 → 131
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
(/.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 x y)
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
1
(+ 1 (* -1 x))
(* -1 x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(sqrt x)
(* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))
(/ 1 (- 1 (* (sqrt x) y)))
(+ (* x (- (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (* 2 (/ 1 (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (- 1 (* (sqrt x) y)))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (* 2 (/ 1 (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
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(* x y)
(/ (pow y 2) (- 1 (* (sqrt x) y)))
(* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y))))))
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(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(* x (- (/ 1 x) 1))
(+ 1 (+ (* (sqrt x) y) (* (sqrt (/ 1 x)) (/ 1 y))))
(+ 1 (+ (* (sqrt x) y) (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 (* x (pow y 2))))))
(* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))
(* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))
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(/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))
(- (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))))
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(* -1 (* (sqrt (/ 1 x)) y))
(/ (- (* -1 (* (sqrt x) y)) 1) x)
(/ (- (+ (* -1 (* (sqrt x) y)) (* -1 (* (sqrt (/ 1 x)) (/ 1 y)))) 1) x)
(/ (- (* -1 (* (sqrt x) y)) (+ 1 (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ 1 (* x (pow y 2)))))) x)
(/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))
(+ (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))
(+ (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))))
(+ (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (+ (/ (pow y 2) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) y))
(- (* -1 (* (sqrt x) y)) (/ 1 (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* (sqrt x) (/ 1 (* y (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 2) (pow (sqrt -1) 4))) (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(* -1 (/ x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (+ (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
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(/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) x)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (/ (- (* -1 (* (sqrt x) y)) (/ 1 (pow (sqrt -1) 2))) x))
(* -1 (/ (+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* (sqrt x) (/ 1 (* y (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -1 (/ (+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 2) (pow (sqrt -1) 4))) (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x))
(/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (- (* -1 (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(- (* (sqrt x) y) x)
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (* (sqrt (pow x 3)) y))))
(* (pow y 2) (+ (* -1 x) (* y (+ (* -1 (sqrt (pow x 3))) (* -1 (* (pow x 2) y))))))
(* (pow y 2) (+ (* -1 x) (* y (+ (* -1 (sqrt (pow x 3))) (* y (+ (* -1 (* (sqrt (pow x 5)) y)) (* -1 (pow x 2))))))))
(+ 1 (* (sqrt x) (/ y (- 1 x))))
(+ 1 (* y (- (/ (* x y) (pow (- 1 x) 2)) (* -1 (* (sqrt x) (/ 1 (- 1 x)))))))
(+ 1 (* y (- (* y (- (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 3))) (* -1 (/ x (pow (- 1 x) 2))))) (* -1 (* (sqrt x) (/ 1 (- 1 x)))))))
(pow y 2)
(* (pow y 2) (+ 1 (* (sqrt x) y)))
(* (pow y 2) (+ 1 (* y (- (* x y) (* -1 (sqrt x))))))
(* (pow y 2) (+ 1 (* y (- (* y (- (* (sqrt (pow x 3)) y) (* -1 x))) (* -1 (sqrt x))))))
(* -1 (/ (* x (pow y 2)) (- 1 x)))
(* (pow y 2) (+ (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 2)))) (* -1 (/ x (- 1 x)))))
(* (pow y 2) (+ (* -1 (/ x (- 1 x))) (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))) (* -1 (/ (* (pow x 2) y) (pow (- 1 x) 3)))))))
(* (pow y 2) (+ (* -1 (/ x (- 1 x))) (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))) (* y (+ (* -1 (* (sqrt (pow x 5)) (/ y (pow (- 1 x) 4)))) (* -1 (/ (pow x 2) (pow (- 1 x) 3)))))))))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (+ (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) (/ 1 y))))
(* y (+ (sqrt x) (+ (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (* x (pow y 3)))))))
(* y (+ (sqrt x) (* -1 (/ (- x 1) y))))
(* y (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (* -1 (/ (- x 1) y))))))
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3)))) (* -1 (/ (- x 1) y)))))) (/ (pow (- 1 x) 3) (* x (pow y 3)))))
(* -1 (* (sqrt (/ 1 x)) (/ (- 1 x) y)))
(/ (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 2) (* x y)))) y)
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))))) (/ (pow (- 1 x) 2) (* x y))) y)
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 4) (* (pow x 2) (pow y 3))))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))) (/ (pow (- 1 x) 2) (* x y)))) y)
(* y (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))))
(* y (- (+ (* -1 (sqrt (/ 1 x))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))))) (/ 1 (* x y))))
(* y (- (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (sqrt (/ 1 (pow x 3))) (/ 1 (* (pow x 2) y))) (pow y 2)))) (/ 1 (* x y))))
(* y (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (* -1 (/ (- x 1) y)))))
(* y (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3)))) (* -1 (/ (- x 1) y))))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
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(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (/ 1 y))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))) y)))))
(* -1 (* y (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) y))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) x)) (/ (pow (- 1 x) 3) x)) y)) (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y))) y)))))
(* -1 (/ (+ (* (sqrt (/ 1 x)) (- 1 x)) (/ (pow (- 1 x) 2) (* x y))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) y))) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (- 1 x) 4) (* (pow x 2) y)) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 3)))) y)) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(* -1 (* y (+ (sqrt (/ 1 x)) (/ 1 (* x y)))))
(* -1 (* y (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (/ 1 x)) y)))))
(* -1 (* y (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (* -1 (sqrt (/ 1 (pow x 3))))) y)) (/ 1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) (* -1 (- x 1))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (/ (* (pow (- 1 x) 2) (- x 1)) (* x y))) y))) y)))))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
y
@0
((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (/ y (sqrt x)) x) (neg x)) (+ (- 1 x) (* y (sqrt x))) (/ y (sqrt x)) (sqrt x) (* (neg x) (/ (* y y) (- 1 (* (sqrt x) y)))) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (* x y) (pow x -1/2)) (neg x)) (+ (- 1 x) (* y (sqrt x))) (* x y) (pow x -1/2) (/ (* y y) (- 1 (* (sqrt x) y))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))))
5.0ms
x
@-inf
((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (/ y (sqrt x)) x) (neg x)) (+ (- 1 x) (* y (sqrt x))) (/ y (sqrt x)) (sqrt x) (* (neg x) (/ (* y y) (- 1 (* (sqrt x) y)))) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (* x y) (pow x -1/2)) (neg x)) (+ (- 1 x) (* y (sqrt x))) (* x y) (pow x -1/2) (/ (* y y) (- 1 (* (sqrt x) y))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))))
5.0ms
x
@inf
((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (/ y (sqrt x)) x) (neg x)) (+ (- 1 x) (* y (sqrt x))) (/ y (sqrt x)) (sqrt x) (* (neg x) (/ (* y y) (- 1 (* (sqrt x) y)))) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (* x y) (pow x -1/2)) (neg x)) (+ (- 1 x) (* y (sqrt x))) (* x y) (pow x -1/2) (/ (* y y) (- 1 (* (sqrt x) y))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))))
3.0ms
x
@0
((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (/ y (sqrt x)) x) (neg x)) (+ (- 1 x) (* y (sqrt x))) (/ y (sqrt x)) (sqrt x) (* (neg x) (/ (* y y) (- 1 (* (sqrt x) y)))) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (* x y) (pow x -1/2)) (neg x)) (+ (- 1 x) (* y (sqrt x))) (* x y) (pow x -1/2) (/ (* y y) (- 1 (* (sqrt x) y))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))))
2.0ms
y
@-inf
((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (/ y (sqrt x)) x) (neg x)) (+ (- 1 x) (* y (sqrt x))) (/ y (sqrt x)) (sqrt x) (* (neg x) (/ (* y y) (- 1 (* (sqrt x) y)))) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (* x y) (pow x -1/2)) (neg x)) (+ (- 1 x) (* y (sqrt x))) (* x y) (pow x -1/2) (/ (* y y) (- 1 (* (sqrt x) y))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))))

simplify156.0ms (3%)

Memory
28.4MiB live, 211.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06724124
122983566
087833379
Stop Event
1×iter limit
1×node limit
Counts
131 → 131
Calls
Call 1
Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
1
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(+ 1 (+ (* -1 x) (* (sqrt x) y)))
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(fma.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y #s(literal 1 binary64))
(* y (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (* -1 (/ (- x 1) y))))))
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 x #s(literal 1 binary64)) y) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) y)) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) y)
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3)))) (* -1 (/ (- x 1) y)))))) (/ (pow (- 1 x) 3) (* x (pow y 3)))))
(*.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 x #s(literal 1 binary64)) y) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) y)) (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (sqrt.f64 x))) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 3 binary64)))) y)
(* -1 (* (sqrt (/ 1 x)) (/ (- 1 x) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 2) (* x y)))) y)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) x)) (neg.f64 y))
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))))) (/ (pow (- 1 x) 2) (* x y))) y)
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) y)) y)
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 4) (* (pow x 2) (pow y 3))))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))) (/ (pow (- 1 x) 2) (* x y)))) y)
(/.f64 (-.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x)))) (fma.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) x))) y)
(* y (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))))
(*.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)
(* y (- (+ (* -1 (sqrt (/ 1 x))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))))) (/ 1 (* x y))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)) y)) y)
(* y (- (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (sqrt (/ 1 (pow x 3))) (/ 1 (* (pow x 2) y))) (pow y 2)))) (/ 1 (* x y))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)) y)) y)
(* y (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (* -1 (/ (- x 1) y)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) y) (sqrt.f64 x)) y)
(* y (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3)))) (* -1 (/ (- x 1) y))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) y)) (sqrt.f64 x)) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 (neg.f64 y) (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(*.f64 (neg.f64 y) (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(neg.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) (sqrt.f64 x)))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (/ 1 y))) y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (sqrt.f64 x)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))) y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)) (neg.f64 y)) (sqrt.f64 x)))
(* -1 (* y (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) y))) y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) y) (-.f64 x #s(literal 1 binary64)))) y) (sqrt.f64 x)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) x)) (/ (pow (- 1 x) 3) x)) y)) (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y))) y)))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)) (neg.f64 y))) (neg.f64 y)) (-.f64 x #s(literal 1 binary64))) y)))
(* -1 (/ (+ (* (sqrt (/ 1 x)) (- 1 x)) (/ (pow (- 1 x) 2) (* x y))) y))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) x)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) y))) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (- 1 x) 4) (* (pow x 2) y)) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 3)))) y)) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) y) (*.f64 x x))) (neg.f64 y)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (neg.f64 y))) (neg.f64 y))
(* -1 (* y (+ (sqrt (/ 1 x)) (/ 1 (* x y)))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* y (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y))) (/ 1 x)) y)))))
(*.f64 (neg.f64 y) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)) y)))
(* -1 (* y (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (* -1 (sqrt (/ 1 (pow x 3))))) y)) (/ 1 x)) y)))))
(*.f64 (neg.f64 y) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) (* -1 (- x 1))) y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 y)) (sqrt.f64 x)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (/ (* (pow (- 1 x) 2) (- x 1)) (* x y))) y))) y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) (/.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 y)) (-.f64 x #s(literal 1 binary64))) (neg.f64 y)) (sqrt.f64 x)))

rewrite173.0ms (3.3%)

Memory
-5.8MiB live, 228.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043235
071236
1264230
21799226
08920220
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 352
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
(/.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 x y)
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))) (pow.f64 (-.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64))) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64))) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64))) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y #s(literal -1 binary64))) x)))))
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(+.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 x))))
(+.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
(*.f64 y x)
(*.f64 x y)
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1/4 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (neg.f64 x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/4 binary64))))
(exp.f64 (/.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) y))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) (+.f64 (fma.f64 (*.f64 y x) y (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) y)
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(/.f64 (*.f64 y y) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
#s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))

eval133.0ms (2.5%)

Memory
5.5MiB live, 210.6MiB allocated
Compiler

Compiled 26 744 to 2 276 computations (91.5% saved)

prune17.0ms (0.3%)

Memory
-4.7MiB live, 40.9MiB allocated
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New4824486
Fresh123
Picked235
Done044
Total48513498
Accuracy
100.0%
Counts
498 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.2%
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (-.f64 #s(literal 1 binary64) x) #s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
✓72.3%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
69.7%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
91.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
✓63.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
✓66.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
61.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64)))
72.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (/.f64 x (sqrt.f64 x)) (neg.f64 x)))
✓57.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
36.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
✓30.0%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓26.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓44.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
Compiler

Compiled 766 to 291 computations (62% saved)

regimes35.0ms (0.7%)

Memory
-25.4MiB live, 27.0MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (/.f64 x (sqrt.f64 x)) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (/ 1 (sqrt x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (neg.f64 x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (-.f64 #s(literal 1 binary64) x) #s(approx (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (*.f64 x y) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (+.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

20.0ms
x
7.0ms
y
6.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
99.9%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
99.9%1x
99.9%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.2%)

Memory
8.7MiB live, 8.8MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
Outputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
Calls

3 calls:

3.0ms
y
3.0ms
x
2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
99.6%3(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
97.7%2x
98.5%3y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
96.7%3y
80.9%2x
79.0%3(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
95.3%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
57.1%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
57.1%1x
57.1%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
34.3%2y
55.5%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
54.9%2x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
26.9%1y
26.9%1x
26.9%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999808
1.0
0.0ms
-26453230050428684.0
-18638294826816504.0
Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch83.0ms (1.6%)

Memory
-38.4MiB live, 50.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
766969845462.7261
123778846260237.92
42.0ms
-2.0673088727514906e+59
-5.587423204234431e+22
Samples
41.0ms288×0valid
Compiler

Compiled 479 to 426 computations (11.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (26.2% of total)
ival-mult: 2.0ms (26.2% of total)
ival-sqrt: 2.0ms (26.2% of total)
ival-add: 1.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.4%)

Memory
40.0MiB live, 40.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
4.687813768327146e+39
1.43065541167139e+41
10.0ms
-4.556312884966228e+64
-1.221053449911744e+63
Samples
11.0ms224×0valid
Compiler

Compiled 515 to 418 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sqrt: 2.0ms (34.7% of total)
ival-sub: 1.0ms (17.4% of total)
ival-add: 1.0ms (17.4% of total)
ival-mult: 1.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-66.49912127414004
0.9487385918809798
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify128.0ms (2.4%)

Memory
-42.3MiB live, 60.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051211
173211
299211
3146211
4227211
5340211
6593211
71114211
81172211
91304211
101614211
112055211
124805211
136923211
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -20000000000000000 binary64)) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal 9007199254740819/9007199254740992 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -23999999999999999837503676259019784192 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 120000000000000 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -16000000000000000925727359083631517238294059026800647010762358784 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 139999999999999996999449480290276288233472 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -50 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -20000000000000000 binary64)) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal 9007199254740819/9007199254740992 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -23999999999999999837503676259019784192 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 120000000000000 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal -23999999999999999837503676259019784192 binary64)) (not (<=.f64 y #s(literal 120000000000000 binary64)))) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 y #s(literal -16000000000000000925727359083631517238294059026800647010762358784 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 139999999999999996999449480290276288233472 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))))
(if (or (<=.f64 y #s(literal -16000000000000000925727359083631517238294059026800647010762358784 binary64)) (not (<=.f64 y #s(literal 139999999999999996999449480290276288233472 binary64)))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -50 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

soundness738.0ms (14%)

Memory
24.4MiB live, 452.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09587072
133226505
091506186
0717
01117
14817
234117
3439817
0836316
052128
1140122
2452122
31320118
43735118
57972118
08111107
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 298 to 137 computations (54% saved)

preprocess41.0ms (0.8%)

Memory
-21.2MiB live, 70.1MiB allocated
Compiler

Compiled 438 to 122 computations (72.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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