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

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze34.0ms (0.7%)

Memory
-23.9MiB live, 34.0MiB 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)

sample893.0ms (17.5%)

Memory
16.9MiB live, 1 486.5MiB allocated
Samples
577.0ms8 255×0valid
12.0ms260×0invalid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 372.0ms
ival-sub: 117.0ms (31.4% of total)
ival-mult: 101.0ms (27.1% of total)
ival-add: 72.0ms (19.3% of total)
ival-sqrt: 66.0ms (17.7% of total)
ival-true: 7.0ms (1.9% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain110.0ms (2.2%)

Memory
13.2MiB live, 159.4MiB 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
41.0ms512×0valid
Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-add: 16.0ms (59.1% of total)
ival-sqrt: 4.0ms (14.8% of total)
ival-sub: 3.0ms (11.1% of total)
ival-mult: 3.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess30.0ms (0.6%)

Memory
-13.8MiB live, 30.7MiB 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, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify5.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB 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)

localize18.0ms (0.4%)

Memory
32.4MiB live, 32.4MiB 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)))
accuracy0.23828125
(*.f64 y (sqrt.f64 x))
Samples
13.0ms256×0valid
Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (31% of total)
ival-sqrt: 2.0ms (31% of total)
ival-sub: 1.0ms (15.5% of total)
ival-add: 1.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory
-58.2MiB live, 7.6MiB 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
24.0ms
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))

simplify89.0ms (1.7%)

Memory
19.6MiB live, 104.2MiB 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)

rewrite196.0ms (3.8%)

Memory
34.4MiB live, 324.2MiB 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))))

eval66.0ms (1.3%)

Memory
-40.7MiB live, 50.0MiB allocated
Compiler

Compiled 5 080 to 633 computations (87.5% saved)

prune7.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1897196
Fresh000
Picked101
Done000
Total1907197
Accuracy
100.0%
Counts
197 → 7
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))
▶78.2%
(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))
99.7%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶72.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶61.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶59.5%
#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 206 to 144 computations (30.1% saved)

simplify171.0ms (3.4%)

Memory
21.1MiB live, 166.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
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-diff11
(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
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
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
027186
046183
178176
2151175
3313175
4613174
51200174
61884174
72238174
82956173
94597172
107876172
08375170
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))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(sqrt.f64 x)
x
y
#s(literal 1 binary64)
#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)
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))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
y
#s(literal 1 binary64)
#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 x (fma.f64 y y (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))
(-.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 y (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))
(-.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 x (fma.f64 y (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (*.f64 y y))
(*.f64 (neg.f64 y) (*.f64 y x))
(*.f64 (neg.f64 x) (*.f64 y y))
(neg.f64 y)
(*.f64 y x)

localize63.0ms (1.2%)

Memory
-11.9MiB live, 80.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.12109375
(fma.f64 (sqrt.f64 x) y x)
accuracy0.16015625
(*.f64 (neg.f64 y) (*.f64 y x))
accuracy3.9186837539336024
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy13.556710711033537
(/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy0.125
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy0.1328125
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy4.414581101844929
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
accuracy21.484831056440147
#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
(sqrt.f64 x)
accuracy0.109375
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
accuracy17.686843890286056
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy24.647936203399144
#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)
accuracy0.0859375
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Samples
47.0ms256×0valid
Compiler

Compiled 179 to 27 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 12.0ms (38.9% of total)
ival-add: 6.0ms (19.4% of total)
ival-div: 5.0ms (16.2% of total)
ival-sqrt: 4.0ms (13% of total)
ival-sub: 2.0ms (6.5% of total)
ival-neg: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series82.0ms (1.6%)

Memory
-32.0MiB live, 73.6MiB allocated
Counts
15 → 102
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))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
#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)))
(*.f64 (neg.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 x) y 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 (* x (pow y 2)))
(+ x (* (sqrt x) y))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(- (* (sqrt (/ 1 x)) y) 1)
(* -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))))))
(* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))))
(* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))))))
(/ (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 (+ 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)))))
(- (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))))
(- (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (- (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))))))
(* x (+ 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))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -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))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))))) x)) (+ (/ 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))))))))
(/ (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 (- 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 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(* -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)))))))))
(+ 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)))))))
x
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* 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)))))
(* 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 (* (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 (+ (sqrt x) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 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))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
39.0ms
x
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 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) (* y x)) (+ (* (sqrt x) y) x))
7.0ms
y
@inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 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) (* y x)) (+ (* (sqrt x) y) x))
6.0ms
x
@inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 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) (* y x)) (+ (* (sqrt x) y) x))
5.0ms
y
@0
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 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) (* y x)) (+ (* (sqrt x) y) x))
5.0ms
x
@0
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 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) (* y x)) (+ (* (sqrt x) y) x))

simplify190.0ms (3.7%)

Memory
31.3MiB live, 174.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05303480
117403034
267782909
081262742
Stop Event
1×iter limit
1×node limit
Counts
102 → 101
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 (* x (pow y 2)))
(+ x (* (sqrt x) y))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(- (* (sqrt (/ 1 x)) y) 1)
(* -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))))))
(* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))))
(* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))))))
(/ (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 (+ 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)))))
(- (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))))
(- (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (- (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))))))
(* x (+ 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))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -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))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))))) x)) (+ (/ 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))))))))
(/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
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(+ (* -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 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(* -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)))))))))
(+ 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)))))))
x
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* 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)))))
(* 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 (* (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 (+ (sqrt x) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 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))
(* -1 (* y (+ (* -1 (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)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt x)
(sqrt.f64 x)
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 (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))
(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)))
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(* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))
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(* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y))))))
(*.f64 (neg.f64 x) (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 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)))))))
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(* 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 (*.f64 y y) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64))) (*.f64 y (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))))) x (/.f64 (*.f64 (neg.f64 y) y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) x (/.f64 (*.f64 (neg.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))))
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(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) 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))))
(+ (* 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))))
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(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(+ x (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 (-.f64 #s(literal 1 binary64) x) x)) x)
(* -1 x)
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(* x (- (/ 1 x) 1))
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(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- (* (sqrt (/ 1 x)) y) 1)
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64))
(* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))
(/.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)))
(* 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))))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 y y #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)))) x)
(* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))))
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(* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))))))
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(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) y)
(* y (+ (sqrt x) (* -1 (/ (- x 1) y))))
(*.f64 (-.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 (/ (- x 1) y))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (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)) 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 (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (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) (*.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))))) (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64)) x)) y)
(* y (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (* -1 (/ (- x 1) y)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) y) #s(literal -1 binary64) (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 (/.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))) y) (sqrt.f64 x)) 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 (-.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (fma.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)))) (/.f64 (fma.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)
(* y (+ (sqrt x) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 x)) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 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)) (/ x y))))
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) 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)) (/ 1 y))))
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) 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 (-.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))) 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)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.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))) (neg.f64 y)) (sqrt.f64 x)))
(* -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 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) (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)))
(* -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 (+ (* -1 (sqrt x)) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 x y) (sqrt.f64 x))))

rewrite207.0ms (4.1%)

Memory
12.6MiB live, 203.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027146
046143
1182130
21349130
08358129
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 469
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))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
#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)))
(*.f64 (neg.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 x) y x)
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) y) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) y) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) (/.f64 (*.f64 (*.f64 y x) y) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) (*.f64 (/.f64 (*.f64 (*.f64 y x) y) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 3 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) 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 y (sqrt.f64 x) x))) (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) y) (*.f64 (neg.f64 (sqrt.f64 x)) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) 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 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) 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 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.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))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) 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))))) #s(literal 3 binary64))) (fma.f64 (/.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 (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 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) 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 (pow.f64 (-.f64 #s(literal 1 binary64) 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 (/.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 (pow.f64 (-.f64 #s(literal 1 binary64) 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 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))))
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x)))) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x)))
(/.f64 (neg.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))))) (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) y))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x))))
(/.f64 (neg.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 (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) x)) (*.f64 (-.f64 (*.f64 y (sqrt.f64 x)) x) (*.f64 x x))) (pow.f64 (-.f64 (*.f64 y (sqrt.f64 x)) 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 x (-.f64 x (*.f64 y (sqrt.f64 x))))) (*.f64 (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x))) (-.f64 (*.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 y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) y)) (-.f64 x (*.f64 y (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.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 x x (-.f64 (*.f64 (*.f64 y x) y) (*.f64 y (pow.f64 x #s(literal 3/2 binary64)))))))
(/.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 y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x)))))))
(/.f64 (fma.f64 (*.f64 y y) x (*.f64 (neg.f64 x) x)) (-.f64 (*.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 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 y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))))
(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 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 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 y x) y) (-.f64 x (*.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 (sqrt.f64 x)) y))
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (/.f64 (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 (pow.f64 (*.f64 y (sqrt.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 (/.f64 (pow.f64 (*.f64 y (sqrt.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 (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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x)))))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 x)))))))
(+.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 y (sqrt.f64 x)) x)))
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 x (*.f64 y (sqrt.f64 x)))

eval142.0ms (2.8%)

Memory
-0.3MiB live, 183.6MiB allocated
Compiler

Compiled 31 539 to 2 640 computations (91.6% saved)

prune24.0ms (0.5%)

Memory
-9.7MiB live, 75.7MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New70011711
Fresh112
Picked325
Done000
Total70414718
Accuracy
100.0%
Counts
718 → 14
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))
87.2%
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y)))
66.3%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
58.0%
(/.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
✓72.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
52.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
✓61.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
59.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
▶55.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x))
▶33.0%
#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))
29.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶33.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
68.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
▶39.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
Compiler

Compiled 508 to 339 computations (33.3% saved)

simplify43.0ms (0.8%)

Memory
-8.4MiB live, 36.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)))
cost-diff0
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
cost-diff0
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
cost-diff0
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
cost-diff0
#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))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.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
036236
052236
178233
2123232
3213232
4394232
5667232
6755232
7768232
8781232
9791232
0791219
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 x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#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))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))
(sqrt.f64 x)
x
(/.f64 y 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 x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#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))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))) x))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x)
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))
(fma.f64 (/.f64 y x) (sqrt.f64 x) #s(literal -1 binary64))
(sqrt.f64 x)
x
(/.f64 y x)
y
#s(literal -1 binary64)

localize121.0ms (2.4%)

Memory
-11.0MiB live, 161.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)))
accuracy3.0772325705458274
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))
accuracy4.414581101844929
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x)
accuracy21.484831056440147
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x))
accuracy0.25390625
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
accuracy4.414581101844929
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
accuracy21.484831056440147
#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))
accuracy32.801945618887
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
accuracy0.0
(sqrt.f64 x)
accuracy0.23828125
(*.f64 (sqrt.f64 x) y)
accuracy17.686843890286056
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
accuracy31.184553197919815
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
accuracy24.647936203399144
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy29.737270075048386
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0.0
(pow.f64 x #s(literal 1/4 binary64))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.1171875
(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))
accuracy0.234375
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
Samples
105.0ms256×0valid
Compiler

Compiled 148 to 25 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 27.0ms (50.8% of total)
ival-pow: 9.0ms (16.9% of total)
ival-sqrt: 6.0ms (11.3% of total)
ival-add: 5.0ms (9.4% of total)
ival-div: 3.0ms (5.6% of total)
ival-sub: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series121.0ms (2.4%)

Memory
18.3MiB live, 207.6MiB allocated
Counts
18 → 40
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 x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.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))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))
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)
(sqrt x)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(- (* (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))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 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)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
Calls

6 calls:

TimeVariablePointExpression
40.0ms
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 x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1))
38.0ms
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 x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1))
18.0ms
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 x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1))
9.0ms
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 x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1))
8.0ms
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 x) y) 1) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1))

simplify121.0ms (2.4%)

Memory
-6.4MiB live, 135.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089308
1260284
2905278
32338274
46015274
08033255
Stop Event
1×iter limit
1×node limit
Counts
40 → 40
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)
(sqrt x)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(- (* (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))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 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)) (/ 1 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)
(sqrt x)
(sqrt.f64 x)
(+ (* -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)
(fma.f64 (/.f64 (sqrt.f64 x) x) y #s(literal -1 binary64))
(* 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)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- (* (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))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.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)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(-.f64 (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(- 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 y)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(* 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)) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(* -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))

rewrite159.0ms (3.1%)

Memory
9.4MiB live, 195.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036211
052211
1169197
21032197
08339184
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 244
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 x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.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))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))
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 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))) (/.f64 (*.f64 (*.f64 y y) x) (-.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 y y) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) x) (+.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x)) (/.f64 (*.f64 (*.f64 y y) x) (+.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x)))) (+.f64 (/.f64 (*.f64 (*.f64 y y) x) (+.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x))))
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(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) x) (-.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) x (/.f64 (*.f64 (sqrt.f64 x) y) x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) x (/.f64 (*.f64 (sqrt.f64 x) y) x)))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) x (/.f64 (*.f64 (sqrt.f64 x) y) x)))) (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) x (/.f64 (*.f64 (sqrt.f64 x) y) x)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x)))) (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x)))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) y) x))

eval44.0ms (0.9%)

Memory
-12.3MiB live, 77.9MiB allocated
Compiler

Compiled 10 586 to 1 254 computations (88.2% saved)

prune37.0ms (0.7%)

Memory
-7.1MiB live, 54.8MiB allocated
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New3272329
Fresh167
Picked235
Done022
Total33013343
Accuracy
100.0%
Counts
343 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
▶87.2%
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y)))
66.3%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
58.0%
(/.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
✓72.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶52.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
✓61.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶33.0%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
✓33.0%
#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))
▶29.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓33.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
68.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
✓39.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
Compiler

Compiled 410 to 273 computations (33.4% saved)

simplify190.0ms (3.7%)

Memory
13.5MiB live, 142.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
cost-diff1
(*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y))
cost-diff9
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y)))
cost-diff0
(*.f64 (*.f64 y x) y)
cost-diff0
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
cost-diff1
(/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)))
cost-diff0
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
cost-diff2
(*.f64 y #s(literal 1 binary64))
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 (sqrt.f64 x))
cost-diff0
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
cost-diff0
(pow.f64 x #s(literal 1/4 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042291
068281
1116281
2262274
3649273
41384272
52135272
62911272
74405271
08163262
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.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 (sqrt.f64 (sqrt.f64 x)) y)
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
y
(-.f64 #s(literal 1 binary64) x)
#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))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
#s(literal 1 binary64)
(-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(fma.f64 y (sqrt.f64 x) x)
y
(sqrt.f64 x)
(*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y))
(*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(neg.f64 y)
Outputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
(*.f64 y (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
y
(-.f64 #s(literal 1 binary64) x)
#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))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x)
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x)))
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 y (sqrt.f64 x))
(*.f64 y #s(literal 1 binary64))
y
y
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
#s(literal 1 binary64)
(-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y)))
(/.f64 (fma.f64 x (fma.f64 y y (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(fma.f64 y (sqrt.f64 x) x)
y
(sqrt.f64 x)
(*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y))
(*.f64 (*.f64 (/.f64 y (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x))) y) x)
(*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) y)
(/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(neg.f64 y)

localize129.0ms (2.5%)

Memory
7.9MiB live, 65.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y))
accuracy3.8757150039336024
(/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
accuracy3.9186837539336024
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
accuracy4.11505641636754
(*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
accuracy0.16015625
(*.f64 (*.f64 y x) y)
accuracy0.23828125
(*.f64 y (sqrt.f64 x))
accuracy13.573600538430547
(/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
accuracy17.686843890286056
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
accuracy0.25
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
accuracy4.414581101844929
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x)
accuracy21.484831056440147
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
accuracy32.801945618887
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)))
accuracy0.0
(neg.f64 x)
accuracy24.647936203399144
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy34.09766100073668
#s(approx (- 1 x) (neg.f64 x))
accuracy0.0
(sqrt.f64 x)
accuracy0.1171875
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
accuracy0.12890625
(sqrt.f64 (sqrt.f64 x))
accuracy0.234375
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
Samples
106.0ms256×0valid
Compiler

Compiled 246 to 38 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 15.0ms (32.3% of total)
ival-div: 8.0ms (17.2% of total)
ival-pow: 6.0ms (12.9% of total)
ival-add: 5.0ms (10.8% of total)
ival-sqrt: 5.0ms (10.8% of total)
ival-sub: 4.0ms (8.6% of total)
ival-neg: 2.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series167.0ms (3.3%)

Memory
21.1MiB live, 151.5MiB allocated
Counts
24 → 158
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
(sqrt.f64 (sqrt.f64 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)
(*.f64 y #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(*.f64 (*.f64 y x) y)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y)))
(*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 x)
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) 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))
(* -1 x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ -1 (- (* (sqrt x) y) 1))
(- (/ (* x (pow y 2)) (- (* (sqrt x) y) 1)) (/ 1 (- (* (sqrt x) y) 1)))
-1
(- (* x (pow y 2)) 1)
(* x (pow y 2))
(/ 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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(* -1 (/ (+ (sqrt x) (* -1 (/ (- x 1) y))) y))
(* -1 (/ (+ (sqrt x) (* -1 (/ (- (+ x (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) 1) y))) y))
(* -1 (/ (+ (sqrt x) (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x y))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1)))) y))) 1) y))) y))
Calls

6 calls:

TimeVariablePointExpression
57.0ms
x
@-inf
((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ (- (* (* y x) y) 1) (- (* y (sqrt x)) 1)) (+ (- 1 x) (* y (sqrt x))) (- (* (* y x) y) 1) (* (* y x) y) (+ (* (/ (- 1 x) (- 1 (+ (* y (sqrt x)) x))) (- 1 x)) (* (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (neg y))) (* (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (neg y)) (/ (- 1 x) (- 1 (+ (* y (sqrt x)) x))) (- 1 x) (sqrt x) (/ (* y 1) (sqrt x)) (* y (sqrt x)) (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (/ x (- 1 (+ (* y (sqrt x)) x))))
53.0ms
y
@0
((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ (- (* (* y x) y) 1) (- (* y (sqrt x)) 1)) (+ (- 1 x) (* y (sqrt x))) (- (* (* y x) y) 1) (* (* y x) y) (+ (* (/ (- 1 x) (- 1 (+ (* y (sqrt x)) x))) (- 1 x)) (* (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (neg y))) (* (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (neg y)) (/ (- 1 x) (- 1 (+ (* y (sqrt x)) x))) (- 1 x) (sqrt x) (/ (* y 1) (sqrt x)) (* y (sqrt x)) (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (/ x (- 1 (+ (* y (sqrt x)) x))))
22.0ms
x
@0
((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ (- (* (* y x) y) 1) (- (* y (sqrt x)) 1)) (+ (- 1 x) (* y (sqrt x))) (- (* (* y x) y) 1) (* (* y x) y) (+ (* (/ (- 1 x) (- 1 (+ (* y (sqrt x)) x))) (- 1 x)) (* (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (neg y))) (* (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (neg y)) (/ (- 1 x) (- 1 (+ (* y (sqrt x)) x))) (- 1 x) (sqrt x) (/ (* y 1) (sqrt x)) (* y (sqrt x)) (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (/ x (- 1 (+ (* y (sqrt x)) x))))
11.0ms
x
@inf
((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ (- (* (* y x) y) 1) (- (* y (sqrt x)) 1)) (+ (- 1 x) (* y (sqrt x))) (- (* (* y x) y) 1) (* (* y x) y) (+ (* (/ (- 1 x) (- 1 (+ (* y (sqrt x)) x))) (- 1 x)) (* (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (neg y))) (* (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (neg y)) (/ (- 1 x) (- 1 (+ (* y (sqrt x)) x))) (- 1 x) (sqrt x) (/ (* y 1) (sqrt x)) (* y (sqrt x)) (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (/ x (- 1 (+ (* y (sqrt x)) x))))
10.0ms
y
@-inf
((+ (* (pow x 1/4) (* (sqrt (sqrt x)) y)) (- 1 x)) (pow x 1/4) (* (sqrt (sqrt x)) y) (sqrt (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (* y 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ (- (* (* y x) y) 1) (- (* y (sqrt x)) 1)) (+ (- 1 x) (* y (sqrt x))) (- (* (* y x) y) 1) (* (* y x) y) (+ (* (/ (- 1 x) (- 1 (+ (* y (sqrt x)) x))) (- 1 x)) (* (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (neg y))) (* (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (neg y)) (/ (- 1 x) (- 1 (+ (* y (sqrt x)) x))) (- 1 x) (sqrt x) (/ (* y 1) (sqrt x)) (* y (sqrt x)) (* y (/ x (- 1 (+ (* y (sqrt x)) x)))) (/ x (- 1 (+ (* y (sqrt x)) x))))

simplify271.0ms (5.3%)

Memory
-8.6MiB live, 241.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07645172
125184616
089394375
Stop Event
1×iter limit
1×node limit
Counts
158 → 157
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))
(* -1 x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ -1 (- (* (sqrt x) y) 1))
(- (/ (* x (pow y 2)) (- (* (sqrt x) y) 1)) (/ 1 (- (* (sqrt x) y) 1)))
-1
(- (* x (pow y 2)) 1)
(* x (pow y 2))
(/ 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))))
(sqrt x)
(/ (* x y) (- 1 (* (sqrt x) y)))
(* x (+ (/ y (- 1 (* (sqrt x) y))) (/ (* x y) (pow (- 1 (* (sqrt x) y)) 2))))
(* x (+ (* x (- (/ (* x y) (pow (- 1 (* (sqrt x) y)) 3)) (* -1 (/ y (pow (- 1 (* (sqrt x) y)) 2))))) (/ y (- 1 (* (sqrt x) y)))))
(* x (+ (* x (- (* x (- (/ (* x y) (pow (- 1 (* (sqrt x) y)) 4)) (* -1 (/ y (pow (- 1 (* (sqrt x) y)) 3))))) (* -1 (/ y (pow (- 1 (* (sqrt x) y)) 2))))) (/ y (- 1 (* (sqrt x) y)))))
(/ x (- 1 (* (sqrt x) y)))
(* x (+ (/ 1 (- 1 (* (sqrt x) y))) (/ x (pow (- 1 (* (sqrt x) y)) 2))))
(* x (+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ x (pow (- 1 (* (sqrt x) y)) 3)))) (/ 1 (- 1 (* (sqrt x) y)))))
(* x (+ (* x (+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (/ x (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt x) y)))
(+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* (sqrt x) y) (* (sqrt (/ 1 (pow x 3))) (/ (+ x (* -1 (* (sqrt x) (/ 1 y)))) y)))))
(- (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 3)))) (+ (* (sqrt x) y) (/ 1 (* x (pow y 2))))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (+ x (* -1 (* (sqrt x) (/ 1 y)))) y))))
(* x (- (pow y 2) (/ 1 x)))
(* -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))))))
(* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))))
(* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))))))
(/ (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 (+ 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)))))
(- (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))))
(- (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (- (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))))))
(* -1 (/ y (+ 1 (* (sqrt (/ 1 x)) y))))
(+ (* -1 (/ y (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* -1 (/ y (+ 1 (* (sqrt (/ 1 x)) y)))))
(- (+ (* -1 (/ y (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))) (* -1 (/ y (+ 1 (* (sqrt (/ 1 x)) y))))) (/ y (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))
(- (+ (* -1 (/ y (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4)))) (* -1 (/ y (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ y (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ y (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))
(/ -1 (+ 1 (* (sqrt (/ 1 x)) y)))
(* -1 (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))
(- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))
(- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (pow x 2))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))
(* -1 (* x (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y)))))
(* -1 (* x (- (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y))) (/ 1 x))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow (* -1 x) 1/4) (* y (sqrt (sqrt -1))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -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))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* -1 (* (sqrt x) y))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ 1 y))) (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) y)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (+ (* -1 (* (sqrt x) (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) y))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 4)))))) x))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(* -1 (* x (+ (* -1 (pow y 2)) (/ 1 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))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))))) x)) (+ (/ 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))))))))
(/ (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 (- 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 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (/ y (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ y (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* -1 (/ y (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(+ (* -1 (/ y (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* -1 (/ (+ (/ y (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ y (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)))
(+ (* -1 (/ y (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ y (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4)))) (* -1 (/ y (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (/ y (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)))
(/ -1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* -1 (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(- (* -1 (/ (+ (/ 1 (* x (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 (/ (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (/ 1 (* (pow x 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 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 (* (sqrt x) y)) x)
y
(* -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)))))))))
(+ 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)))))))
(/ (* x y) (- 1 x))
(* y (+ (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 2))) (/ x (- 1 x))))
(* y (+ (* y (- (/ (* (pow x 2) y) (pow (- 1 x) 3)) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))))) (/ x (- 1 x))))
(* y (+ (* y (- (* y (- (* (sqrt (pow x 5)) (/ y (pow (- 1 x) 4))) (* -1 (/ (pow x 2) (pow (- 1 x) 3))))) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))))) (/ x (- 1 x))))
(/ x (- 1 x))
(+ (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 2))) (/ x (- 1 x)))
(+ (* y (- (/ (* (pow x 2) y) (pow (- 1 x) 3)) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))))) (/ x (- 1 x)))
(+ (* y (- (* y (- (* (sqrt (pow x 5)) (/ y (pow (- 1 x) 4))) (* -1 (/ (pow x 2) (pow (- 1 x) 3))))) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))))) (/ x (- 1 x)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(* 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)))))
(* 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 (* (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)
(* -1 (sqrt x))
(- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y))
(- (+ (* -1 (sqrt x)) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2))) (/ x y))) (/ 1 y))
(- (+ (* -1 (sqrt x)) (+ (/ x y) (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (/ 1 y)))
(* -1 (* (sqrt x) (/ 1 y)))
(/ (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y)) y)
(/ (- (+ (* -1 (sqrt x)) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2))) (/ x y))) (/ 1 y)) y)
(/ (- (+ (* -1 (sqrt x)) (+ (/ x y) (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (/ 1 y))) 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)) (/ 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))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) (* -1 (- 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)))
(* -1 (/ (+ (sqrt x) (* -1 (/ (- x 1) y))) y))
(* -1 (/ (+ (sqrt x) (* -1 (/ (- (+ x (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) 1) y))) y))
(* -1 (/ (+ (sqrt x) (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x y))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1)))) y))) 1) y))) y))
Outputs
(+ 1 (* (sqrt x) y))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(fma.f64 (sqrt.f64 x) y (-.f64 #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)
(* -1 x)
(neg.f64 x)
(* (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)
(/ -1 (- (* (sqrt x) y) 1))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(- (/ (* x (pow y 2)) (- (* (sqrt x) y) 1)) (/ 1 (- (* (sqrt x) y) 1)))
(-.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))))
-1
#s(literal -1 binary64)
(- (* x (pow y 2)) 1)
(-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) 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))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (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)))) (/.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))))
(+ (* 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))))
(fma.f64 (-.f64 (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 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 2 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 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) (/.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))))
(+ (* 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))))
(fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) #s(literal -1 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)))) (-.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) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 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 2 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 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) (/.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 (*.f64 (neg.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 (*.f64 (neg.f64 y) y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) x (/.f64 (*.f64 (neg.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 (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 (/.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 (-.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))))
(sqrt x)
(sqrt.f64 x)
(/ (* x y) (- 1 (* (sqrt x) y)))
(*.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(* x (+ (/ y (- 1 (* (sqrt x) y))) (/ (* x y) (pow (- 1 (* (sqrt x) y)) 2))))
(*.f64 (fma.f64 x (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x)
(* x (+ (* x (- (/ (* x y) (pow (- 1 (* (sqrt x) y)) 3)) (* -1 (/ y (pow (- 1 (* (sqrt x) y)) 2))))) (/ y (- 1 (* (sqrt x) y)))))
(*.f64 (fma.f64 (fma.f64 x (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) x (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x)
(* x (+ (* x (- (* x (- (/ (* x y) (pow (- 1 (* (sqrt x) y)) 4)) (* -1 (/ y (pow (- 1 (* (sqrt x) y)) 3))))) (* -1 (/ y (pow (- 1 (* (sqrt x) y)) 2))))) (/ y (- 1 (* (sqrt x) y)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 x (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 4 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))) x (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) x (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x)
(/ x (- 1 (* (sqrt x) y)))
(/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(* x (+ (/ 1 (- 1 (* (sqrt x) y))) (/ x (pow (- 1 (* (sqrt x) y)) 2))))
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(* x (+ (* x (+ (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 3)) (/ x (pow (- 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y)))))
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(* x (- (* (sqrt (/ 1 x)) y) 1))
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(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)
(* x (- (/ 1 x) 1))
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(+ (* y (- (/ (* (pow x 2) y) (pow (- 1 x) 3)) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))))) (/ x (- 1 x)))
(fma.f64 (fma.f64 (*.f64 x x) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+ (* y (- (* y (- (* (sqrt (pow x 5)) (/ y (pow (- 1 x) 4))) (* -1 (/ (pow x 2) (pow (- 1 x) 3))))) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))))) (/ x (- 1 x)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) y (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)
(* y (+ (sqrt x) (* -1 (/ x y))))
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) y)
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)
(* y (+ (sqrt x) (* -1 (/ (- x 1) y))))
(*.f64 (-.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 (/ (- 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 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 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 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 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)
(* 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) (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 x #s(literal 1 binary64)) y) (/.f64 (-.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 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 x #s(literal 1 binary64)) y) (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)) 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)) x) y)) (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 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (*.f64 y y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.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)) 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 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (*.f64 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)) x) y))) y)
(* -1 (sqrt x))
(neg.f64 (sqrt.f64 x))
(- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ (* -1 (sqrt x)) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2))) (/ x y))) (/ 1 y))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 x #s(literal 1 binary64)) y) (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(- (+ (* -1 (sqrt x)) (+ (/ x y) (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (/ 1 y)))
(-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (/.f64 x y) (sqrt.f64 x))) (fma.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* (sqrt x) (/ 1 y)))
(/.f64 (sqrt.f64 x) (neg.f64 y))
(/ (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y)) y)
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(/ (- (+ (* -1 (sqrt x)) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2))) (/ x y))) (/ 1 y)) y)
(/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 x #s(literal 1 binary64)) y) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) y)
(/ (- (+ (* -1 (sqrt x)) (+ (/ x y) (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (/ 1 y))) y)
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (/.f64 x y) (sqrt.f64 x))) (fma.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (sqrt.f64 x)))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) 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)) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* y (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y))))
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) 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 (/.f64 (*.f64 (neg.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)))) y) (-.f64 x #s(literal 1 binary64))) (neg.f64 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 (/.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))) (neg.f64 y)) (sqrt.f64 x)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) (* -1 (- x 1))) y)))))
(*.f64 (neg.f64 y) (neg.f64 (-.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) 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)))))
(*.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)))
(* -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)) x) y)) (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 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) y)) (*.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))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) (* -1 (- x 1))) y)))
(neg.f64 (-.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) 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 (/.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))
(* -1 (/ (+ (sqrt x) (* -1 (/ (- x 1) y))) y))
(/.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (neg.f64 y))
(* -1 (/ (+ (sqrt x) (* -1 (/ (- (+ x (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) 1) y))) y))
(/.f64 (-.f64 (sqrt.f64 x) (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) y)) (neg.f64 y))
(* -1 (/ (+ (sqrt x) (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x y))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1)))) y))) 1) y))) y))
(/.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 (-.f64 x (/.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))) #s(literal 1 binary64)) y)) (neg.f64 y))

rewrite189.0ms (3.7%)

Memory
-6.2MiB live, 320.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042245
068212
1238204
21763188
08566181
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 689
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
(sqrt.f64 (sqrt.f64 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)
(*.f64 y #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(*.f64 (*.f64 y x) y)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y)))
(*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 x)
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
Outputs
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (/.f64 (-.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (/.f64 (-.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (/.f64 (-.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (/.f64 (-.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))))) (-.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (/.f64 (-.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))))) (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (/.f64 (-.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64)))))) (*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (/.f64 (-.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))))) (/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (/.f64 (-.f64 (*.f64 (*.f64 y x) (neg.f64 y)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64)))))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) (neg.f64 y)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) (neg.f64 y)) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) (neg.f64 y))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) (neg.f64 y))))))
(/.f64 (+.f64 (pow.f64 (/.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))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) 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))))) #s(literal 3 binary64))) (fma.f64 (/.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 (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 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) 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 (pow.f64 (-.f64 #s(literal 1 binary64) 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 (/.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 (pow.f64 (-.f64 #s(literal 1 binary64) 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 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) 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 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) 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 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 x)) (+.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) 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)) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) (neg.f64 y))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (*.f64 y x))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(/.f64 (fma.f64 (*.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(/.f64 (fma.f64 (neg.f64 y) (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (/.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal -3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))))) (/.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) x) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (/.f64 (*.f64 x 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) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.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 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 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 (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/8 binary64))) (/.f64 y (pow.f64 x #s(literal 3/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/8 binary64))))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 y (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
(neg.f64 (/.f64 y (neg.f64 (sqrt.f64 x))))
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 y (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 x) y)
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y (sqrt.f64 x) x) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) y) #s(literal 1 binary64))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) y)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) y))
(*.f64 y (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(*.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 y (neg.f64 x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y (sqrt.f64 x) x) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))

eval105.0ms (2.1%)

Memory
-21.6MiB live, 221.8MiB allocated
Compiler

Compiled 30 140 to 2 912 computations (90.3% saved)

prune19.0ms (0.4%)

Memory
5.8MiB live, 53.2MiB allocated
Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New7203723
Fresh123
Picked325
Done055
Total72412736
Accuracy
100.0%
Counts
736 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
66.3%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓72.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
44.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
✓52.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
✓61.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
33.0%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
✓33.0%
#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))
✓29.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓33.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
68.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
✓39.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
Compiler

Compiled 655 to 259 computations (60.5% saved)

regimes24.0ms (0.5%)

Memory
-2.4MiB live, 43.9MiB allocated
Counts
24 → 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 x) y) 1) (*.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) (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))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) 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 (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 x))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y 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))
#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))) (/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.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))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (neg.f64 y)))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 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:

9.0ms
x
7.0ms
y
7.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.2%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
6 → 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)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.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) (neg.f64 x)))
Outputs
#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) (neg.f64 x)))
Calls

3 calls:

3.0ms
x
2.0ms
y
2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
99.3%2x
97.9%3y
99.1%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
5 → 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 x) y) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #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
96.9%3y
86.8%5(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
83.3%2x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0%)

Memory
3.5MiB live, 3.5MiB 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 x) y) 1) (*.f64 (sqrt.f64 x) y)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.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 x) y) 1) (*.f64 (sqrt.f64 x) y)))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
94.9%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB 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
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
2.0ms
x
Results
AccuracySegmentsBranch
61.5%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
61.5%1x
61.5%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes38.0ms (0.7%)

Memory
-35.6MiB live, 12.1MiB 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:

34.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
60.9%2x
38.4%2y
61.5%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB 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
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
33.7%1y
33.7%1x
33.7%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch11.0ms (0.2%)

Memory
21.5MiB live, 21.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.01030717727340161
2.597493517474393
Samples
5.0ms112×0valid
Compiler

Compiled 179 to 159 computations (11.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (33.9% of total)
ival-add: 1.0ms (33.9% of total)
ival-mult: 1.0ms (33.9% of total)
ival-sqrt: 1.0ms (33.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0.8%)

Memory
-14.3MiB live, 36.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.0797879068099383e+24
3.7781694112939455e+34
26.0ms
-1.675786360903562e+27
-1.523443369613425e+26
Samples
29.0ms256×0valid
Compiler

Compiled 427 to 380 computations (11% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 2.0ms (30.8% of total)
ival-sqrt: 2.0ms (30.8% of total)
ival-sub: 1.0ms (15.4% of total)
ival-add: 1.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.8%)

Memory
-0.1MiB live, 44.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
2.6211630234009004e+93
2.3481157962103994e+96
28.0ms
-2.3130169213910153e+55
-5.580072725232197e+49
Samples
12.0ms272×0valid
Compiler

Compiled 555 to 437 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (29.7% of total)
ival-mult: 2.0ms (29.7% of total)
ival-sqrt: 2.0ms (29.7% of total)
ival-add: 1.0ms (14.8% 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
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1785.5939708159483
0.8490814778087574
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify13.0ms (0.3%)

Memory
20.1MiB live, 20.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043177
165177
279177
3100177
4116177
5118177
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #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) (neg.f64 x))))
(if (<=.f64 y #s(literal -899999999999999956983218176 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 32999999999999998780443374875836416 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 -22999999999999998738164127017267437202651820011466784768 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 80000000000000001617510330172475759086087705857148619291022148496640320399853144748695826202624 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.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 -1000 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 x #s(literal 1 binary64)) #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) (neg.f64 x))))
(if (<=.f64 y #s(literal -899999999999999956983218176 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 32999999999999998780443374875836416 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 -899999999999999956983218176 binary64)) (not (<=.f64 y #s(literal 32999999999999998780443374875836416 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 -22999999999999998738164127017267437202651820011466784768 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 80000000000000001617510330172475759086087705857148619291022148496640320399853144748695826202624 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))))
(if (or (<=.f64 y #s(literal -22999999999999998738164127017267437202651820011466784768 binary64)) (not (<=.f64 y #s(literal 80000000000000001617510330172475759086087705857148619291022148496640320399853144748695826202624 binary64)))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.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 -1000 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)))

soundness721.0ms (14.2%)

Memory
-12.1MiB live, 451.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01117
14817
234117
3439817
0836316
05303480
117403034
267782909
081262742
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×node limit
1×iter limit
Compiler

Compiled 266 to 128 computations (51.9% saved)

preprocess107.0ms (2.1%)

Memory
29.0MiB live, 124.5MiB allocated
Compiler

Compiled 370 to 106 computations (71.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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