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

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze20.0ms (0.3%)

Memory
-25.5MiB live, 16.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
66.7%50%25%0.1%0%25%0%4
66.7%50%25%0.1%0%25%0%5
80%50%12.5%0.1%0%37.5%0%6
80%50%12.5%0.1%0%37.5%0%7
88.9%50%6.2%0.1%0%43.7%0%8
88.9%50%6.2%0.1%0%43.7%0%9
94.1%50%3.1%0.1%0%46.8%0%10
94.1%50%3.1%0.1%0%46.8%0%11
97%50%1.6%0.1%0%48.4%0%12
Compiler

Compiled 10 to 9 computations (10% saved)

sample850.0ms (14.2%)

Memory
18.5MiB live, 1 328.5MiB allocated
Samples
486.0ms8 256×0valid
18.0ms270×0invalid
Precisions
Click to see histograms. Total time spent on operations: 311.0ms
ival-sub: 95.0ms (30.5% of total)
ival-sqrt: 72.0ms (23.1% of total)
ival-mult: 65.0ms (20.9% of total)
ival-add: 64.0ms (20.5% of total)
ival-true: 7.0ms (2.2% of total)
exact: 5.0ms (1.6% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain111.0ms (1.9%)

Memory
0.1MiB live, 190.6MiB 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
29.0ms512×0valid
Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sqrt: 4.0ms (28.9% of total)
ival-sub: 3.0ms (21.7% of total)
ival-mult: 3.0ms (21.7% of total)
ival-add: 2.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess20.0ms (0.3%)

Memory
-5.4MiB live, 38.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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)

simplify4.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB 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)

localize56.0ms (0.9%)

Memory
-26.5MiB live, 27.7MiB 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)))
accuracy0.19140625
(*.f64 y (sqrt.f64 x))
Samples
50.0ms256×0valid
Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 38.0ms (89.6% of total)
ival-sub: 2.0ms (4.7% of total)
ival-sqrt: 2.0ms (4.7% of total)
ival-add: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
4 → 19
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
Calls

6 calls:

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

simplify91.0ms (1.5%)

Memory
19.5MiB live, 103.2MiB 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)

rewrite236.0ms (3.9%)

Memory
-15.6MiB live, 227.0MiB 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))))

eval42.0ms (0.7%)

Memory
-1.5MiB live, 51.2MiB allocated
Compiler

Compiled 5 080 to 633 computations (87.5% saved)

prune7.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1888196
Fresh000
Picked101
Done000
Total1898197
Accuracy
100.0%
Counts
197 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(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))
▶76.9%
(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%
(-.f64 (fma.f64 (sqrt.f64 x) y #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))))
95.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
64.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶64.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶65.6%
#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 244 to 172 computations (29.5% saved)

simplify171.0ms (2.9%)

Memory
-18.9MiB live, 172.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
030191
053184
192177
2185176
3393176
4768175
51474175
62161175
72516175
83236174
95123173
08189171
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(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 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(fma.f64 (sqrt.f64 x) y x)
(sqrt.f64 x)
y
(/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(*.f64 (neg.f64 y) (*.f64 y x))
(neg.f64 y)
(*.f64 y x)
(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)
Outputs
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(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 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(/.f64 (fma.f64 x (fma.f64 y y (-.f64 #s(literal 2 binary64) 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 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 x) y x)
(fma.f64 y (sqrt.f64 x) x)
(sqrt.f64 x)
y
(/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(*.f64 (/.f64 x (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal -1 binary64) x))) (*.f64 y y))
(*.f64 (neg.f64 y) (*.f64 y x))
(*.f64 (neg.f64 x) (*.f64 y y))
(neg.f64 y)
(*.f64 y x)
(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))
(-.f64 (fma.f64 y (sqrt.f64 x) #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)

localize76.0ms (1.3%)

Memory
23.6MiB live, 113.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 1/4 binary64))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.08203125
(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))
accuracy0.2578125
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
accuracy0.0703125
(fma.f64 (sqrt.f64 x) y x)
accuracy0.15234375
(*.f64 (neg.f64 y) (*.f64 y x))
accuracy4.5634130096685235
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy14.30707551420726
(/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy0.1015625
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.109375
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy2.955313540110967
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
accuracy19.077879424469028
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy22.816136476019253
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy0.0
(sqrt.f64 x)
accuracy0.0078125
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
accuracy0.0859375
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
Samples
58.0ms256×0valid
Compiler

Compiled 191 to 32 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 14.0ms (34.6% of total)
ival-add: 6.0ms (14.8% of total)
ival-pow: 6.0ms (14.8% of total)
ival-div: 5.0ms (12.4% of total)
ival-sqrt: 5.0ms (12.4% of total)
ival-sub: 3.0ms (7.4% of total)
ival-neg: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series217.0ms (3.6%)

Memory
6.8MiB live, 184.6MiB allocated
Counts
17 → 106
Calls
Call 1
Inputs
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(fma.f64 (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 (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))))
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) y)
(* -1 (* x (pow y 2)))
(+ x (* (sqrt x) y))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* (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)))))
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(* 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) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- 1 (/ 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))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -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)))))
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(* -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
81.0ms
y
@0
((- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (* (neg y) (* y x)) (+ (* (sqrt x) y) x))
65.0ms
x
@0
((- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (* (neg y) (* y x)) (+ (* (sqrt x) y) x))
31.0ms
x
@-inf
((- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (* (neg y) (* y x)) (+ (* (sqrt x) y) x))
15.0ms
y
@inf
((- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (* (neg y) (* y x)) (+ (* (sqrt x) y) x))
12.0ms
x
@inf
((- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x)))) (/ (* (neg y) (* y x)) (- 1 (+ (* (sqrt x) y) x))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (* (neg y) (* y x)) (+ (* (sqrt x) y) x))

simplify211.0ms (3.5%)

Memory
-5.6MiB live, 178.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05423510
117763064
274622941
080852774
Stop Event
1×iter limit
1×node limit
Counts
106 → 105
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))))
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) y)
(* -1 (* x (pow y 2)))
(+ x (* (sqrt x) y))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* (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)))
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(/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))
(- (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))))
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(* x (+ 1 (* (sqrt (/ 1 x)) y)))
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(* (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))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(* -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)))
(+ (* x (- (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (* 2 (/ 1 (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
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(+ (* x (- (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (- 1 (* (sqrt x) y)))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (* 2 (/ 1 (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
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(* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))
(*.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (neg.f64 x))
(* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (* -1 (/ (pow y 2) (- 1 (* (sqrt x) y))))))
(*.f64 (neg.f64 (/.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)
(* 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 (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) x (*.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 (*.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))))
(fma.f64 (fma.f64 (/.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))))) (-.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))))
(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 (* 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) #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))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(- (* (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)
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(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) #s(literal 3 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 4 binary64)))) x) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64)) #s(literal 3 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) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 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) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) y)
(* -1 (* 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)) (neg.f64 x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (/ (* x (pow y 2)) (- 1 x)))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(* (pow y 2) (+ (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 2)))) (* -1 (/ x (- 1 x)))))
(*.f64 (*.f64 (neg.f64 y) y) (/.f64 (+.f64 x (/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) 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)))))))
(*.f64 (fma.f64 (neg.f64 y) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) y) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) (*.f64 y y))
(* (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)))))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 y) (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 x (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) y (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) (*.f64 y y))
(+ 1 (* (sqrt x) (/ y (- 1 x))))
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* y (- (/ (* x y) (pow (- 1 x) 2)) (* -1 (* (sqrt x) (/ 1 (- 1 x)))))))
(fma.f64 (/.f64 (+.f64 (sqrt.f64 x) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 3))) (* -1 (/ x (pow (- 1 x) 2))))) (* -1 (* (sqrt x) (/ 1 (- 1 x)))))))
(fma.f64 (fma.f64 (/.f64 (+.f64 x (/.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) y (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64))
x
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(* 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 (/ (- 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 (neg.f64 (sqrt.f64 x)) (/.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))) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) (* -1 (- x 1))) y)))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.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))))

rewrite222.0ms (3.7%)

Memory
12.6MiB live, 394.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030152
053145
1216132
21658132
08871131
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 604
Calls
Call 1
Inputs
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(fma.f64 (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 (neg.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 x) y x)
Outputs
(/.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 y (sqrt.f64 x)) (-.f64 #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 y (sqrt.f64 x)) (-.f64 #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 y (sqrt.f64 x)) (-.f64 #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 y (sqrt.f64 x)) (-.f64 #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 y (sqrt.f64 x)) (-.f64 #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 y (sqrt.f64 x)) (-.f64 #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 y (sqrt.f64 x)) (-.f64 #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 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))))
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 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 (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 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 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 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y x) y))) (neg.f64 (-.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 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 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 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 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 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 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 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 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 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 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 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (pow.f64 x #s(literal 1/4 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) 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)))

eval182.0ms (3%)

Memory
16.1MiB live, 206.0MiB allocated
Compiler

Compiled 31 355 to 2 838 computations (90.9% saved)

prune98.0ms (1.6%)

Memory
-63.0MiB live, 59.8MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New77414788
Fresh213
Picked415
Done000
Total78016796
Accuracy
100.0%
Counts
796 → 16
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))
99.8%
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (-.f64 #s(literal 1 binary64) x))
86.5%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
48.0%
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (*.f64 (*.f64 (neg.f64 y) x) y))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
77.1%
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) x)
▶94.0%
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x)
70.1%
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
▶64.8%
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
95.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
✓64.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
65.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
▶62.7%
#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))
32.4%
#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))
35.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶29.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
36.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
Compiler

Compiled 630 to 412 computations (34.6% saved)

simplify17.0ms (0.3%)

Memory
20.8MiB live, 20.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x)
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
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
cost-diff0
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
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
(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
037205
057203
188203
2145203
3261203
4414203
5497203
6515203
7526203
8534203
9539203
0539200
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 (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) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (+ (* (sqrt x) y) 1) 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 #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)
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x)
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)
y
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
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) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (+ (* (sqrt x) y) 1) 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 #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)
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x)
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))) 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 (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
y
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize77.0ms (1.3%)

Memory
-5.5MiB live, 86.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy0.0078125
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x)
accuracy0.1015625
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy3.8358592039592656
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy0.0
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64)))
accuracy2.943727266185435
(fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))
accuracy2.955313540110967
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x)
accuracy19.077879424469028
#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))
accuracy0.0
(sqrt.f64 x)
accuracy0.0859375
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
accuracy22.50459464644694
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
accuracy22.816136476019253
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy33.62897325490556
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0.0
(sqrt.f64 x)
accuracy0.08203125
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) y) (-.f64 #s(literal 1 binary64) x))
accuracy0.13671875
(sqrt.f64 (sqrt.f64 x))
accuracy0.2578125
(*.f64 (sqrt.f64 (sqrt.f64 x)) y)
Samples
60.0ms256×0valid
Compiler

Compiled 145 to 30 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 14.0ms (36.7% of total)
ival-add: 6.0ms (15.7% of total)
ival-pow: 6.0ms (15.7% of total)
ival-sqrt: 5.0ms (13.1% of total)
ival-div: 3.0ms (7.9% of total)
ival-sub: 2.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series73.0ms (1.2%)

Memory
14.4MiB live, 117.2MiB allocated
Counts
18 → 47
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) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(sqrt.f64 x)
#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))
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x)
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) y)
1
(+ 1 (* -1 x))
(sqrt x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(* x y)
(sqrt (/ 1 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 (* (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))))
(* -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)
(- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(- 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
18.0ms
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) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (sqrt (/ 1 x)))
14.0ms
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) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (sqrt (/ 1 x)))
13.0ms
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) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (sqrt (/ 1 x)))
10.0ms
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) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (sqrt (/ 1 x)))
8.0ms
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) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (+ (* (sqrt x) (/ y x)) -1) (- (+ (* (sqrt x) y) 1) x) (+ (* (sqrt x) y) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (sqrt (/ 1 x)))

simplify161.0ms (2.7%)

Memory
-6.2MiB live, 128.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111386
1318355
21103346
32915342
46961342
08039320
Stop Event
1×iter limit
1×node limit
Counts
47 → 47
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)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(* x y)
(sqrt (/ 1 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 (* (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))))
(* -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)
(- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(- 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)
(sqrt.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)
(fma.f64 (/.f64 (sqrt.f64 x) x) y #s(literal -1 binary64))
(* x y)
(*.f64 y x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -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 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y)))))
(*.f64 (fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) y) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x))) #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (pow -1 1/4) (* (sqrt (/ (pow (sqrt -1) 3) x)) y))) (/ 1 x))))
(neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) y) (sqrt.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) x)) x x))
(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))
(* (pow (* -1 x) 1/4) (* y (sqrt (sqrt -1))))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) y) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 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))
(* -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))
(- (* -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))
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 x))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (sqrt x) (/ 1 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))

rewrite227.0ms (3.8%)

Memory
21.8MiB live, 204.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037178
057172
1210161
21415155
08395152
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 344
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) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(sqrt.f64 x)
#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))
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x)
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Outputs
(/.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 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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 (-.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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 (-.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 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 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))))))))))
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(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) x))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) x) (pow.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) x)) (/.f64 (*.f64 x x) (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) x) (pow.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) x) (pow.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)))))
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) x)
(+.f64 (/.f64 (pow.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) x)))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) #s(literal -1 binary64)) #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 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))) (pow.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #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 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) (*.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) x) (*.f64 y (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) x) (*.f64 y (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/8 binary64))) (/.f64 (*.f64 y x) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.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)) #s(literal 1 binary64))
(fma.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)))) #s(literal 1 binary64))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 y x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y x)) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) x) (*.f64 y (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) x) (*.f64 y (sqrt.f64 x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) x) (*.f64 y (sqrt.f64 x))))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) x) (*.f64 y (sqrt.f64 x))))))
(+.f64 (pow.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))) (pow.f64 (fma.f64 (*.f64 y y) x (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) #s(literal -1 binary64)))
(+.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 y x)
(*.f64 x y)
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 x))))
(exp.f64 (/.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))

eval91.0ms (1.5%)

Memory
-10.2MiB live, 133.4MiB allocated
Compiler

Compiled 10 395 to 1 369 computations (86.8% saved)

prune35.0ms (0.6%)

Memory
-11.8MiB live, 32.2MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New3674371
Fresh5510
Picked325
Done011
Total37512387
Accuracy
100.0%
Counts
387 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.5%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
▶70.1%
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
64.6%
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.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)))) #s(literal 1 binary64)))
64.7%
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
✓64.8%
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶61.0%
#s(approx (- (+ (* (sqrt x) y) 1) x) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
36.9%
#s(approx (- (+ (* (sqrt x) y) 1) x) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
✓64.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
65.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
▶32.4%
#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))
▶35.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓29.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 410 to 273 computations (33.4% saved)

simplify47.0ms (0.8%)

Memory
-22.5MiB live, 45.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
042294
066294
1113287
2203286
3408286
4668286
5838286
61006286
71168286
81176286
91179286
01179276
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(-.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 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(*.f64 y x)
(/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(neg.f64 y)
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(fma.f64 y (sqrt.f64 x) 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)
x
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
#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 (- (+ (* (sqrt x) y) 1) 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 (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)
y
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(/.f64 (fma.f64 (*.f64 y y) (neg.f64 x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 x) y x)
(fma.f64 y (sqrt.f64 x) x)
(sqrt.f64 x)
y
(*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(*.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) y) (neg.f64 x))
(*.f64 y x)
(/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(neg.f64 y)
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(fma.f64 y (sqrt.f64 x) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- (+ (* (sqrt x) y) 1) x) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(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))
#s(approx (- (+ (* (sqrt x) y) 1) 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 (- (+ (* (sqrt x) y) 1) 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 (- (+ (* (sqrt x) y) 1) x) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))))
#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 (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
y
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize131.0ms (2.2%)

Memory
5.9MiB live, 93.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy0.1015625
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy3.8358592039592656
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy22.50459464644694
#s(approx (- (+ (* (sqrt x) y) 1) x) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
accuracy0.25
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
accuracy2.955313540110967
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
accuracy19.077879424469028
#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))
accuracy33.67920890028798
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
accuracy0.0
(sqrt.f64 x)
accuracy0.0078125
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
accuracy0.19140625
(*.f64 (sqrt.f64 x) y)
accuracy31.376537503477344
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
accuracy0.0
(neg.f64 x)
accuracy22.816136476019253
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy30.80388048331214
#s(approx (- 1 x) (neg.f64 x))
accuracy0.0703125
(fma.f64 y (sqrt.f64 x) x)
accuracy4.5634130096685235
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy4.650394782668455
(/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
accuracy5.092060081644156
(*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
Samples
78.0ms256×0valid
Compiler

Compiled 228 to 32 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 39.0ms (63.2% of total)
ival-add: 7.0ms (11.3% of total)
ival-div: 5.0ms (8.1% of total)
ival-sub: 5.0ms (8.1% of total)
ival-sqrt: 3.0ms (4.9% of total)
ival-neg: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
36.4MiB live, 36.4MiB allocated
Counts
23 → 137
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(-.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 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y 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 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
#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 (- (+ (* (sqrt x) y) 1) 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 (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(fma.f64 y (sqrt.f64 x) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
Outputs
(/ 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
(+ 1 (* -1 x))
(+ (* 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 (* (sqrt x) y))
(- (+ 1 (* -1 x)) (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* -1 x)
(* (sqrt x) y)
(sqrt x)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(* 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)))))))))
(* -1 (/ y (- 1 (* (sqrt x) y))))
(+ (* -1 (/ y (- 1 (* (sqrt x) y)))) (* -1 (/ (* x y) (pow (- 1 (* (sqrt x) y)) 2))))
(+ (* -1 (/ y (- 1 (* (sqrt x) y)))) (* x (+ (* -1 (/ y (pow (- 1 (* (sqrt x) y)) 2))) (* -1 (/ (* x y) (pow (- 1 (* (sqrt x) y)) 3))))))
(+ (* -1 (/ y (- 1 (* (sqrt x) y)))) (* x (+ (* -1 (/ y (pow (- 1 (* (sqrt x) y)) 2))) (* x (+ (* -1 (/ y (pow (- 1 (* (sqrt x) y)) 3))) (* -1 (/ (* x y) (pow (- 1 (* (sqrt x) y)) 4))))))))
(+ x (* (sqrt x) y))
(sqrt (/ 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))))))))))
(* x (- (/ 1 x) 1))
(/ 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 (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(* x (- (/ 1 x) (+ 1 (* (sqrt (/ 1 x)) y))))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(- (* (sqrt (/ 1 x)) y) 1)
(/ (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))))))
(/ y (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(/ (+ (/ y (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) x)
(/ (+ (/ y (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ y (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ y (+ 1 (* (sqrt (/ 1 x)) y))))) x)
(/ (+ (/ y (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ y (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (+ (/ y (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))))) x)
(* x (+ 1 (* (sqrt (/ 1 x)) y)))
(* -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))))))))
(* -1 (* x (- 1 (/ 1 x))))
(/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) x)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- 1 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))))
(* -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) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (- (* -1 (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(/ y (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (/ (+ (* -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))))))) x))
(* -1 (/ (+ (* -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))) x))
(* -1 (/ (+ (* -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))) x))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(+ 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)))))))
(- (+ 1 (* -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 (/ y (- 1 x)))
(* y (- (* -1 (* (sqrt x) (/ y (pow (- 1 x) 2)))) (/ 1 (- 1 x))))
(* y (- (* y (+ (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (/ (* x y) (pow (- 1 x) 3))))) (/ 1 (- 1 x))))
(* y (- (* y (+ (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* y (+ (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4)))) (* -1 (/ x (pow (- 1 x) 3))))))) (/ 1 (- 1 x))))
x
(* y (+ (sqrt x) (* -1 (/ (- x 1) y))))
(* y (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (* -1 (/ (- x 1) y))))))
(* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3)))) (* -1 (/ (- x 1) y)))))) (/ (pow (- 1 x) 3) (* x (pow y 3)))))
(* -1 (* (sqrt (/ 1 x)) (/ (- 1 x) y)))
(/ (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 2) (* x y)))) y)
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))))) (/ (pow (- 1 x) 2) (* x y))) y)
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 4) (* (pow x 2) (pow y 3))))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))) (/ (pow (- 1 x) 2) (* x y)))) y)
(* -1 (* (sqrt x) y))
(* y (- (/ 1 y) (+ (sqrt x) (/ x y))))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (/ 1 y)))
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(* 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))))))
(- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y))
(- (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2)))) (* -1 (/ (- 1 x) (* x y))))
(- (+ (sqrt (/ 1 x)) (/ (pow (- 1 x) 3) (* (pow x 2) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2)))) (* -1 (/ (- 1 x) (* x y)))))
(* y (+ (sqrt x) (/ x y)))
(* -1 (* y (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) y))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) x)) (/ (pow (- 1 x) 3) x)) y)) (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y))) y)))))
(* -1 (/ (+ (* (sqrt (/ 1 x)) (- 1 x)) (/ (pow (- 1 x) 2) (* x y))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) y))) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (- 1 x) 4) (* (pow x 2) y)) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 3)))) y)) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(* -1 (* y (- (* -1 (/ (- 1 x) y)) (* -1 (sqrt x)))))
(* -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)) (* -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)))))
(+ (sqrt (/ 1 x)) (* -1 (/ (- 1 (/ 1 x)) y)))
(+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y))) (/ 1 x)) y)))
(+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x))))) y))) (/ 1 x)) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))
Calls

6 calls:

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

simplify152.0ms (2.5%)

Memory
-5.2MiB live, 222.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06744372
122593828
087243618
Stop Event
1×iter limit
1×node limit
Counts
137 → 136
Calls
Call 1
Inputs
(/ 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
(+ 1 (* -1 x))
(+ (* 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 (* (sqrt x) y))
(- (+ 1 (* -1 x)) (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* -1 x)
(* (sqrt x) y)
(sqrt x)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(* 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)))))))))
(* -1 (/ y (- 1 (* (sqrt x) y))))
(+ (* -1 (/ y (- 1 (* (sqrt x) y)))) (* -1 (/ (* x y) (pow (- 1 (* (sqrt x) y)) 2))))
(+ (* -1 (/ y (- 1 (* (sqrt x) y)))) (* x (+ (* -1 (/ y (pow (- 1 (* (sqrt x) y)) 2))) (* -1 (/ (* x y) (pow (- 1 (* (sqrt x) y)) 3))))))
(+ (* -1 (/ y (- 1 (* (sqrt x) y)))) (* x (+ (* -1 (/ y (pow (- 1 (* (sqrt x) y)) 2))) (* x (+ (* -1 (/ y (pow (- 1 (* (sqrt x) y)) 3))) (* -1 (/ (* x y) (pow (- 1 (* (sqrt x) y)) 4))))))))
(+ x (* (sqrt x) y))
(sqrt (/ 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))))))))))
(* x (- (/ 1 x) 1))
(/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))
(- (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))))
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(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(* x (- (/ 1 x) (+ 1 (* (sqrt (/ 1 x)) y))))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(- (* (sqrt (/ 1 x)) y) 1)
(/ (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))))))
(/ y (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(/ (+ (/ y (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) x)
(/ (+ (/ y (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ y (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ y (+ 1 (* (sqrt (/ 1 x)) y))))) x)
(/ (+ (/ y (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ y (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (+ (/ y (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))))) x)
(* x (+ 1 (* (sqrt (/ 1 x)) y)))
(* -1 (/ x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
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(* -1 (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(- 1 x)
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(- (+ 1 (* -1 (* (sqrt x) y))) x)
-1
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x
(* y (+ (sqrt x) (* -1 (/ (- x 1) y))))
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(* -1 (* (sqrt (/ 1 x)) (/ (- 1 x) y)))
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Outputs
(/ 1 (- 1 (* (sqrt x) y)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
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(*.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y) (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) y)) (fma.f64 (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)) #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 3 binary64)))) y)
(* -1 (* (sqrt (/ 1 x)) (/ (- 1 x) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 2) (* x y)))) y)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) x)) (neg.f64 y))
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))))) (/ (pow (- 1 x) 2) (* x y))) y)
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) y)) y)
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 4) (* (pow x 2) (pow y 3))))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))) (/ (pow (- 1 x) 2) (* x y)))) y)
(/.f64 (-.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x)))) (fma.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) x))) y)
(* -1 (* (sqrt x) y))
(*.f64 (neg.f64 y) (sqrt.f64 x))
(* y (- (/ 1 y) (+ (sqrt x) (/ x y))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(* y (+ (sqrt x) (/ 1 y)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(* 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 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (* -1 (/ (- x 1) y)))))
(*.f64 (+.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)))) y) (sqrt.f64 x)) y)
(* y (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3)))) (* -1 (/ (- x 1) y))))))
(*.f64 (+.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.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)) (sqrt.f64 x)) y)
(- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y))
(+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2)))) (* -1 (/ (- 1 x) (* x y))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(- (+ (sqrt (/ 1 x)) (/ (pow (- 1 x) 3) (* (pow x 2) (pow y 3)))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2)))) (* -1 (/ (- 1 x) (* x y)))))
(+.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) x) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* y (+ (sqrt x) (/ x y)))
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 x)) 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 (-.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 (neg.f64 (sqrt.f64 x)) (/.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))) y)))
(* -1 (/ (+ (* (sqrt (/ 1 x)) (- 1 x)) (/ (pow (- 1 x) 2) (* x y))) y))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) x)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) y))) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (- 1 x) 4) (* (pow x 2) y)) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 3)))) y)) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) y) (*.f64 x x))) (neg.f64 y)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (neg.f64 y))) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- 1 x) y)) (* -1 (sqrt x)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (sqrt.f64 x)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(*.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* y (+ (* -1 (sqrt x)) (/ 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 (/ (+ (* -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 #s(literal 1 binary64) (/.f64 #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)))
(+ (sqrt (/ 1 x)) (* -1 (/ (- 1 (/ 1 x)) y)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x))
(+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y))) (/ 1 x)) y)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) y))
(+ (sqrt (/ 1 x)) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x))))) y))) (/ 1 x)) y)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)))) y)) (/.f64 #s(literal 1 binary64) x)) y))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (neg.f64 (+.f64 (/.f64 x y) (sqrt.f64 x))))

rewrite229.0ms (3.8%)

Memory
-7.5MiB live, 288.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042253
066253
1264233
21686227
09042213
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 520
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(-.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 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y 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 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
#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 (- (+ (* (sqrt x) y) 1) 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 (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(fma.f64 y (sqrt.f64 x) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 x) y)))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))) (/.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 (pow.f64 (*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (*.f64 y x)) #s(literal 3 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 x) y)))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))) (/.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))) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 x) y)))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))) (/.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))) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 x) y)))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))) (/.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 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (*.f64 y x)) #s(literal 3 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 x) y)))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))) (/.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 (pow.f64 (*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (*.f64 y x)) #s(literal 3 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 x) y)))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))) (/.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))) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 x) y)))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))) (/.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 (pow.f64 (*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (*.f64 y x)) #s(literal 3 binary64)) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 x) y)))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))) (/.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 x) y)) (/.f64 (neg.f64 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 (*.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) (*.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (/.f64 (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 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (*.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y x))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 y (*.f64 y x))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 y (*.f64 y x))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y x) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 (*.f64 y x) y)) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 y (*.f64 (neg.f64 x) y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 y (*.f64 (neg.f64 x) y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (neg.f64 (*.f64 y (*.f64 (neg.f64 x) y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (fma.f64 y (*.f64 y x) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (fma.f64 (*.f64 y x) y (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (+.f64 (neg.f64 (*.f64 y (*.f64 (neg.f64 x) y))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (fma.f64 y (*.f64 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))))
(/.f64 (fma.f64 (*.f64 y x) y (*.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))))
(/.f64 (+.f64 (neg.f64 (*.f64 y (*.f64 (neg.f64 x) y))) (*.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))))
(/.f64 (fma.f64 y (*.f64 y x) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (fma.f64 (*.f64 y x) y (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (+.f64 (neg.f64 (*.f64 y (*.f64 (neg.f64 x) y))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)) (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)))) (neg.f64 (/.f64 (-.f64 (*.f64 y (*.f64 (neg.f64 x) 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 (neg.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 (neg.f64 x) y) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))) #s(literal 3 binary64)))) (neg.f64 (+.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 (pow.f64 (*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (*.f64 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 y (sqrt.f64 x) x))) (*.f64 (*.f64 (neg.f64 x) y) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 x) y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 y (*.f64 (neg.f64 x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 x) y))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 3 binary64)) (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))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y (*.f64 (neg.f64 x) y)))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal 2 binary64))) (/.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)))))))
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(/.f64 y (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))))
(/.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(*.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(/.f64 (+.f64 (pow.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)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y y) x (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 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 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 (/.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 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 (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 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 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 (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 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 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 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) (-.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 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 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 y) x)) (-.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 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 y y) x) (*.f64 y (pow.f64 x #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 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 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 y y) x) (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 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 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) 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 (pow.f64 x #s(literal -1/2 binary64)) y) x x)
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 y x) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 y x) (pow.f64 x #s(literal -1/2 binary64)) 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 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (sqrt.f64 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)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 x (*.f64 y (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) x) (-.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 y) x) (*.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 y) x) (*.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 y) x) (*.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 y) x) (*.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 y) x) (-.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)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (/.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))

eval131.0ms (2.2%)

Memory
-0.0MiB live, 184.5MiB allocated
Compiler

Compiled 33 038 to 3 048 computations (90.8% saved)

prune31.0ms (0.5%)

Memory
-3.0MiB live, 43.9MiB allocated
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New7342736
Fresh044
Picked145
Done033
Total73513748
Accuracy
100.0%
Counts
748 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
70.1%
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (/.f64 x (sqrt.f64 x)) y)) x)
✓70.1%
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
64.6%
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.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)))) #s(literal 1 binary64)))
64.7%
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
✓64.8%
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓61.0%
#s(approx (- (+ (* (sqrt x) y) 1) x) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
36.9%
#s(approx (- (+ (* (sqrt x) y) 1) x) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
✓64.3%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
65.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y #s(literal -1 binary64)) x))
✓32.4%
#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))
✓35.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓29.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 792 to 282 computations (64.4% saved)

regimes23.0ms (0.4%)

Memory
24.8MiB live, 24.8MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (- (+ (* (sqrt x) y) 1) 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)))
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64)))
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (/.f64 x (sqrt.f64 x)) y)) 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) (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 (- (+ (* (sqrt x) y) 1) 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))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x)
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) x)
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (*.f64 (*.f64 y x) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (*.f64 (*.f64 (neg.f64 y) x) y))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(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))
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.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)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)) (-.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
Calls

3 calls:

8.0ms
y
7.0ms
x
7.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
99.9%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
99.9%1x
99.9%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes9.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
8 → 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 (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (- (+ (* (sqrt x) y) 1) 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)))
#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x)
Calls

3 calls:

3.0ms
y
3.0ms
x
3.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
97.6%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
98.6%2x
97.9%3y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes9.0ms (0.2%)

Memory
-30.6MiB live, 15.3MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (- (+ (* (sqrt x) y) 1) 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)))
#s(approx (- (+ (* (sqrt x) y) 1) 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:

4.0ms
x
2.0ms
y
2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
96.5%3y
87.3%3(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
82.8%2x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB 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 (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (- (+ (* (sqrt x) y) 1) x) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
95.2%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

2.0ms
y
2.0ms
x
1.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
64.3%1x
64.3%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
64.3%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
44.1%5y
63.0%2x
63.6%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB 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
x
1.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms
y
Results
AccuracySegmentsBranch
29.7%1y
29.7%1x
29.7%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch18.0ms (0.3%)

Memory
-38.7MiB live, 15.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.1969516671175299e-11
1.4546910771414801e-8
Samples
11.0ms128×0valid
Compiler

Compiled 227 to 196 computations (13.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sqrt: 6.0ms (68.9% of total)
ival-sub: 1.0ms (11.5% of total)
ival-add: 1.0ms (11.5% of total)
ival-mult: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.5%)

Memory
18.0MiB live, 61.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
7.811159710145911e+56
1.5133097292531074e+74
12.0ms
-1.3334001918799353e+54
-2.4341570070820864e+48
Samples
17.0ms304×0valid
Compiler

Compiled 505 to 449 computations (11.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 5.0ms (46.8% of total)
ival-mult: 2.0ms (18.7% of total)
ival-sqrt: 2.0ms (18.7% of total)
ival-add: 1.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.3%)

Memory
-18.6MiB live, 27.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
7.811159710145911e+56
1.5133097292531074e+74
5.0ms
-1.3555568889875357e+67
-1.0062816318208233e+67
Samples
10.0ms144×0valid
Compiler

Compiled 515 to 418 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (58% of total)
ival-sub: 1.0ms (14.5% of total)
ival-add: 1.0ms (14.5% of total)
ival-sqrt: 1.0ms (14.5% 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
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-27.51425894147493
0.9999999999880305
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify70.0ms (1.2%)

Memory
18.6MiB live, 63.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051184
177184
2104184
3156184
4237184
5353184
6606184
71128184
81185184
91317184
101627184
112063184
124895184
137005184
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(if (<=.f64 x #s(literal 4382356096103031/302231454903657293676544 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x))
(if (<=.f64 y #s(literal -84000000000000004332087923103254031355572043907072 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8199999999999999828510007895595298855325156583946888225879762183127040 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 -11499999999999999277670734695667832180625106261402237875677495820288 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 82000000000000004415082242419508421986639674440705616733754110565679104 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -20 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
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(if (<=.f64 x #s(literal 4382356096103031/302231454903657293676544 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)) x))
(if (<=.f64 y #s(literal -84000000000000004332087923103254031355572043907072 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 8199999999999999828510007895595298855325156583946888225879762183127040 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 -84000000000000004332087923103254031355572043907072 binary64)) (not (<=.f64 y #s(literal 8199999999999999828510007895595298855325156583946888225879762183127040 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 -11499999999999999277670734695667832180625106261402237875677495820288 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) (if (<=.f64 y #s(literal 82000000000000004415082242419508421986639674440705616733754110565679104 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))))
(if (or (<=.f64 y #s(literal -11499999999999999277670734695667832180625106261402237875677495820288 binary64)) (not (<=.f64 y #s(literal 82000000000000004415082242419508421986639674440705616733754110565679104 binary64)))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -20 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)))

soundness1.7s (28.4%)

Memory
-182.1MiB live, 518.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052128
1140122
2452122
31320118
43735118
57972118
08111107
05423510
117763064
274622941
080852774
0717
01117
14817
234117
3439817
0836316
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 268 to 135 computations (49.6% saved)

preprocess56.0ms (0.9%)

Memory
13.6MiB live, 110.3MiB allocated
Compiler

Compiled 384 to 122 computations (68.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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