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

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze8.0ms (0.2%)

Memory
15.9MiB live, 15.9MiB 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)

sample739.0ms (14%)

Memory
25.7MiB live, 839.2MiB allocated
Samples
487.0ms8 256×0valid
10.0ms230×0invalid
Precisions
Click to see histograms. Total time spent on operations: 277.0ms
ival-sqrt: 93.0ms (33.6% of total)
ival-sub: 74.0ms (26.7% of total)
ival-mult: 59.0ms (21.3% of total)
ival-add: 36.0ms (13% of total)
ival-true: 6.0ms (2.2% of total)
exact: 5.0ms (1.8% of total)
ival-assert: 4.0ms (1.4% of total)
Bogosity

explain126.0ms (2.4%)

Memory
-22.5MiB live, 149.1MiB 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
Total Time
17.95166015625
Average Time
0.07012367248535156
Samples
16.0ms256×0valid
Compiler

Compiled 70 to 33 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 4.0ms (42.5% of total)
ival-mult: 2.0ms (21.2% of total)
ival-sqrt: 2.0ms (21.2% of total)
ival-add: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess44.0ms (0.8%)

Memory
10.6MiB live, 56.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
15443
216042
343342
487842
5122242
6133742
7135742
078
0118
1198
2388
3658
41298
52478
63898
74378
84608
04607
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

simplify46.0ms (0.9%)

Memory
-24.8MiB live, 14.6MiB 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-diff128
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
11920
23820
36520
412920
524720
638920
743720
846020
046019
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
y
(sqrt.f64 x)

localize18.0ms (0.3%)

Memory
18.1MiB live, 18.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(sqrt.f64 x)
accuracy0.00390625
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy0.21484375
(*.f64 y (sqrt.f64 x))
Samples
13.0ms256×0valid
Compiler

Compiled 42 to 16 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (31.4% of total)
ival-sqrt: 2.0ms (31.4% of total)
ival-sub: 1.0ms (15.7% of total)
ival-add: 1.0ms (15.7% 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
5.0MiB live, 5.0MiB allocated
Counts
4 → 19
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
Calls

6 calls:

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

simplify123.0ms (2.3%)

Memory
-3.7MiB live, 113.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052113
1141113
2438109
31296109
44654109
57388109
0810598
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)))
(fma.f64 (sqrt.f64 x) y (-.f64 #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 #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 #s(literal 1 binary64) x)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* (sqrt x) y)) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

rewrite165.0ms (3.1%)

Memory
-10.6MiB live, 148.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01117
14617
235717
3531517
0897416
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 252
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 (*.f64 y x) (neg.f64 y) (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)) (pow.f64 (*.f64 (sqrt.f64 x) y) #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 (/.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 (*.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (neg.f64 y) (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 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 (pow.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)))) #s(literal -1 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))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (*.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal -1 binary64)))
(*.f64 (neg.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)))) (pow.f64 (neg.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))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 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 (*.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)) (pow.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)))) #s(literal -1 binary64))))
(*.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))) (pow.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)))) #s(literal -1 binary64)))
(*.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 (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)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
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(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (log1p.f64 x))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 x))
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 x) (exp.f64 (log.f64 y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(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 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 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)))

eval39.0ms (0.7%)

Memory
-1.0MiB live, 36.7MiB allocated
Compiler

Compiled 5 449 to 752 computations (86.2% saved)

prune8.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2548262
Fresh000
Picked101
Done000
Total2558263
Accuracy
100.0%
Counts
263 → 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))
73.0%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
▶99.9%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
99.7%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶58.0%
(*.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)) (pow.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)))) #s(literal -1 binary64))))
69.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶59.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶66.6%
#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 292 to 174 computations (40.4% saved)

simplify179.0ms (3.4%)

Memory
-12.0MiB live, 181.6MiB 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-diff12608
(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 y x)
cost-diff0
(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))))
cost-diff5888
(*.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)) (pow.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)))) #s(literal -1 binary64))))
cost-diff6080
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (pow.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)))) #s(literal -1 binary64)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
cost-diff0
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029249
051206
189206
2186204
3617204
43634204
08179204
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
(*.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)) (pow.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)))) #s(literal -1 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 y x)
y
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) x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(fma.f64 (sqrt.f64 x) y x)
(sqrt.f64 x)
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (pow.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)))) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(pow.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)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(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
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
(*.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)) (pow.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)))) #s(literal -1 binary64))))
(fma.f64 y (sqrt.f64 x) (-.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))))
(fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 y x)
y
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) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 x) y x)
(fma.f64 y (sqrt.f64 x) x)
(sqrt.f64 x)
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (pow.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)))) #s(literal -1 binary64)))
(/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(pow.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)))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.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)

localize108.0ms (2%)

Memory
8.1MiB live, 129.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x #s(literal 1/4 binary64))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.09375
(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))
accuracy0.23046875
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
accuracy0.20101124700057485
(pow.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)))) #s(literal -1 binary64))
accuracy4.699204988027801
(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))))
accuracy24.649892841483506
(*.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)) (pow.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)))) #s(literal -1 binary64))))
accuracy25.044169947054062
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (pow.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)))) #s(literal -1 binary64)))
accuracy0.12890625
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy0.1484375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy2.2314906488648614
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
accuracy19.161915929780125
#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
(-.f64 #s(literal 1 binary64) x)
accuracy25.800628194900284
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(sqrt.f64 x)
accuracy0.0625
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Samples
58.0ms256×0valid
Compiler

Compiled 506 to 61 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 17.0ms (42.2% of total)
ival-pow: 8.0ms (19.9% of total)
ival-add: 6.0ms (14.9% of total)
ival-sqrt: 4.0ms (9.9% of total)
ival-div: 2.0ms (5% of total)
ival-sub: 2.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series254.0ms (4.8%)

Memory
11.9MiB live, 287.6MiB allocated
Counts
16 → 97
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (pow.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)))) #s(literal -1 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)) (pow.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)))) #s(literal -1 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 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)
(pow.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)))) #s(literal -1 binary64))
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 (* (sqrt x) y)) (- 1 (* (sqrt x) y)))
(+ (* -1 (* x (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y)))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (* -1 (/ (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- 1 (* (sqrt x) y))))))) (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y)))))
(- 1 (* (sqrt x) y))
(- (+ 1 (* x (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1))) (* (sqrt x) y))
(- (+ 1 (* x (- (+ x (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2))) 1))) (* (sqrt x) y))
(* x y)
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) y)
(/ 1 (- 1 (* (sqrt x) y)))
(+ (* x (- (+ (/ 1 (- 1 (* (sqrt x) y))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* -1 (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1) (- (+ (/ 1 (- 1 (* (sqrt x) y))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (- 1 (* (sqrt x) y)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* x (- (* x (- (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3)) (+ (* -1 (/ (* (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1) (- (+ (/ 1 (- 1 (* (sqrt x) y))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (- 1 (* (sqrt x) y)))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (pow (- 1 (* (sqrt x) y)) 3)))))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1) (- (+ (/ 1 (- 1 (* (sqrt x) y))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (- 1 (* (sqrt x) y)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(/ (- (* (sqrt (/ 1 x)) y) 1) (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) x)
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (+ (* (sqrt (/ 1 (pow x 5))) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))))))) x)
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))) (+ (* (sqrt (/ 1 (pow x 5))) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (+ (* (sqrt (/ 1 x)) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ 1 (* (sqrt (/ 1 x)) y)))))) (* (pow x 3) (+ 1 (* (sqrt (/ 1 x)) y)))))))))) x)
(* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (/ (pow y 2) x)))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))) (/ 1 x)))
(/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))
(/ (- (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ 1 (* (sqrt (/ 1 x)) y)))) (pow x 2))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))) (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (pow x 2))
(/ (- (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (pow y 2) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))) (+ (* -1 (/ (* (+ (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ 1 (* (sqrt (/ 1 x)) y)))) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* (pow x 3) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (+ (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))))))) (pow x 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 (* (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 (/ (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 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))))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* (sqrt (/ 1 (pow x 3))) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 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))))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)) (+ (* -1 (/ (* (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 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))))))) x))
(* (pow x 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (+ 2 (* -1 (pow y 2))) (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))) x))) (* (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 (* (pow x 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(/ (+ (* -1 (/ (- (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 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 x 2))
(/ (+ (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (- (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 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 x 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (+ (* -1 (/ (* (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))))) x)) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 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 x 2))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(/ 1 (- 1 x))
(+ (* y (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))
(+ (* y (- (+ (* -1 (* y (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))
(+ (* y (- (+ (* y (- (* -1 (* y (+ (* (sqrt x) (/ (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))) (- 1 x))) (/ (* x (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (pow (- 1 x) 2))))) (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))
(pow (- 1 x) 2)
(+ (* -1 (* (sqrt x) (* y (- 1 x)))) (pow (- 1 x) 2))
(+ (* y (+ (* -1 (* (sqrt x) (- 1 x))) (* x y))) (pow (- 1 x) 2))
(/ 1 (pow (- 1 x) 2))
(+ (* (sqrt x) (/ y (pow (- 1 x) 3))) (/ 1 (pow (- 1 x) 2)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 1 x) 4))) (/ x (pow (- 1 x) 4))))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 3)))))) (/ 1 (pow (- 1 x) 2)))
(+ (* y (- (* y (- (* -1 (* y (+ (* (sqrt x) (/ (+ (* -1 (/ x (pow (- 1 x) 4))) (/ x (pow (- 1 x) 4))) (- 1 x))) (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 5)))))) (+ (* -1 (/ x (pow (- 1 x) 4))) (/ x (pow (- 1 x) 4))))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 3)))))) (/ 1 (pow (- 1 x) 2)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (+ (* -1 (/ (- 1 x) (* x y))) (/ 1 y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (pow y 2))) (/ 1 (* x y)))) (+ (* -1 (/ (- 1 x) (* x y))) (/ 1 y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (- 1 x))) (/ (* (pow (- 1 x) 2) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) x)) (pow y 3))) (/ 1 (* x y)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) (pow y 2)))) (+ (* -1 (/ (- 1 x) (* x y))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2))) (/ 1 y))))) y)
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (* (sqrt x) (/ (- 1 x) y)))))
(* (pow y 2) (+ x (+ (* -1 (* (sqrt x) (/ (- 1 x) y))) (/ (pow (- 1 x) 2) (pow y 2)))))
(/ 1 (* x (pow y 2)))
(/ (+ (* (sqrt (/ 1 (pow x 3))) (/ (- 1 x) y)) (/ 1 x)) (pow y 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) (pow x 2))) (/ (pow (- 1 x) 2) (pow x 2))) (pow y 2))) (/ 1 x)) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (- 1 x) y)))) (pow y 2))
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (/ (pow (- 1 x) 2) (pow x 2))) (/ (pow (- 1 x) 2) (pow x 2))) (- 1 x))) (* (sqrt (/ 1 (pow x 5))) (pow (- 1 x) 3))) (pow y 3))) (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (- 1 x) y))) (+ (* -1 (/ (pow (- 1 x) 2) (* (pow x 2) (pow y 2)))) (/ (pow (- 1 x) 2) (* (pow x 2) (pow y 2)))))) (pow y 2))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) y))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) y)) (/ 1 x))) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (- 1 x)) y))) (/ (* (pow (- 1 x) 2) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) (* x y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x)))))))) y)) (/ 1 x)) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y))
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) y)) (* (sqrt x) (- 1 x))) y))))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (- 1 x) 2) (* (pow x 2) y))) (/ (pow (- 1 x) 2) (* (pow x 2) y))) (* (sqrt (/ 1 (pow x 3))) (- 1 x))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (/ (pow (- 1 x) 2) (pow x 2))) (/ (pow (- 1 x) 2) (pow x 2))) (- 1 x)) y))) (* -1 (* (sqrt (/ 1 (pow x 5))) (/ (pow (- 1 x) 3) y)))) (+ (* -1 (/ (pow (- 1 x) 2) (pow x 2))) (/ (pow (- 1 x) 2) (pow x 2)))) y)) (* (sqrt (/ 1 (pow x 3))) (- 1 x))) y)) (/ 1 x)) (pow y 2))
Calls

6 calls:

TimeVariablePointExpression
97.0ms
y
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (sqrt x) y) (- 1 x)) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* (+ (* (sqrt x) y) (- 1 x)) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1))
47.0ms
y
@0
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (sqrt x) y) (- 1 x)) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* (+ (* (sqrt x) y) (- 1 x)) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1))
40.0ms
x
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (sqrt x) y) (- 1 x)) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* (+ (* (sqrt x) y) (- 1 x)) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1))
35.0ms
x
@0
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (sqrt x) y) (- 1 x)) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* (+ (* (sqrt x) y) (- 1 x)) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1))
17.0ms
x
@inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (sqrt x) y) (- 1 x)) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* (+ (* (sqrt x) y) (- 1 x)) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (+ (* (pow x 1/4) (* (pow x 1/4) y)) (- 1 x)) (pow x 1/4) (* (pow x 1/4) y) (pow (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) -1))

simplify282.0ms (5.3%)

Memory
-33.6MiB live, 299.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06085458
119334684
277764576
086834373
Stop Event
1×iter limit
1×node limit
Counts
97 → 97
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 (* (sqrt x) y)) (- 1 (* (sqrt x) y)))
(+ (* -1 (* x (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y)))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (* -1 (/ (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- 1 (* (sqrt x) y))))))) (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y)))))
(- 1 (* (sqrt x) y))
(- (+ 1 (* x (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1))) (* (sqrt x) y))
(- (+ 1 (* x (- (+ x (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2))) 1))) (* (sqrt x) y))
(* x y)
(pow (* 1 x) 1/4)
(* (pow (* 1 x) 1/4) y)
(/ 1 (- 1 (* (sqrt x) y)))
(+ (* x (- (+ (/ 1 (- 1 (* (sqrt x) y))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* -1 (* x (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1) (- (+ (/ 1 (- 1 (* (sqrt x) y))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (- 1 (* (sqrt x) y)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* x (- (* x (- (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3)) (+ (* -1 (/ (* (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1) (- (+ (/ 1 (- 1 (* (sqrt x) y))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (- 1 (* (sqrt x) y)))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (pow (- 1 (* (sqrt x) y)) 3)))))) (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1) (- (+ (/ 1 (- 1 (* (sqrt x) y))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (- 1 (* (sqrt x) y)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(/ (- (* (sqrt (/ 1 x)) y) 1) (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) x)
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (+ (* (sqrt (/ 1 (pow x 5))) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))))))) x)
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))) (+ (* (sqrt (/ 1 (pow x 5))) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (+ (* (sqrt (/ 1 x)) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ 1 (* (sqrt (/ 1 x)) y)))))) (* (pow x 3) (+ 1 (* (sqrt (/ 1 x)) y)))))))))) x)
(* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (/ (pow y 2) x)))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))) (/ 1 x)))
(/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))
(/ (- (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ 1 (* (sqrt (/ 1 x)) y)))) (pow x 2))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))) (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (pow x 2))
(/ (- (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (pow y 2) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))) (+ (* -1 (/ (* (+ (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ 1 (* (sqrt (/ 1 x)) y)))) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* (pow x 3) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (+ (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))))))) (pow x 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 (* (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 (/ (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 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))))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* (sqrt (/ 1 (pow x 3))) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 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))))))) x))
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(* (pow x 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (+ 2 (* -1 (pow y 2))) (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))) x))) (* (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 (* (pow x 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(/ (+ (* -1 (/ (- (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 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 x 2))
(/ (+ (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (* (- (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 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 x 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (+ (* -1 (/ (* (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))))) x)) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* 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 x 2))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
-1
(/ 1 (- 1 x))
(+ (* y (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))
(+ (* y (- (+ (* -1 (* y (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))
(+ (* y (- (+ (* y (- (* -1 (* y (+ (* (sqrt x) (/ (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))) (- 1 x))) (/ (* x (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (pow (- 1 x) 2))))) (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))
(pow (- 1 x) 2)
(+ (* -1 (* (sqrt x) (* y (- 1 x)))) (pow (- 1 x) 2))
(+ (* y (+ (* -1 (* (sqrt x) (- 1 x))) (* x y))) (pow (- 1 x) 2))
(/ 1 (pow (- 1 x) 2))
(+ (* (sqrt x) (/ y (pow (- 1 x) 3))) (/ 1 (pow (- 1 x) 2)))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 1 x) 4))) (/ x (pow (- 1 x) 4))))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 3)))))) (/ 1 (pow (- 1 x) 2)))
(+ (* y (- (* y (- (* -1 (* y (+ (* (sqrt x) (/ (+ (* -1 (/ x (pow (- 1 x) 4))) (/ x (pow (- 1 x) 4))) (- 1 x))) (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 5)))))) (+ (* -1 (/ x (pow (- 1 x) 4))) (/ x (pow (- 1 x) 4))))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 3)))))) (/ 1 (pow (- 1 x) 2)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (+ (* -1 (/ (- 1 x) (* x y))) (/ 1 y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (pow y 2))) (/ 1 (* x y)))) (+ (* -1 (/ (- 1 x) (* x y))) (/ 1 y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (- 1 x))) (/ (* (pow (- 1 x) 2) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) x)) (pow y 3))) (/ 1 (* x y)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) (pow y 2)))) (+ (* -1 (/ (- 1 x) (* x y))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2))) (/ 1 y))))) y)
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (* (sqrt x) (/ (- 1 x) y)))))
(* (pow y 2) (+ x (+ (* -1 (* (sqrt x) (/ (- 1 x) y))) (/ (pow (- 1 x) 2) (pow y 2)))))
(/ 1 (* x (pow y 2)))
(/ (+ (* (sqrt (/ 1 (pow x 3))) (/ (- 1 x) y)) (/ 1 x)) (pow y 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) (pow x 2))) (/ (pow (- 1 x) 2) (pow x 2))) (pow y 2))) (/ 1 x)) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (- 1 x) y)))) (pow y 2))
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (/ (pow (- 1 x) 2) (pow x 2))) (/ (pow (- 1 x) 2) (pow x 2))) (- 1 x))) (* (sqrt (/ 1 (pow x 5))) (pow (- 1 x) 3))) (pow y 3))) (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (- 1 x) y))) (+ (* -1 (/ (pow (- 1 x) 2) (* (pow x 2) (pow y 2)))) (/ (pow (- 1 x) 2) (* (pow x 2) (pow y 2)))))) (pow y 2))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) y))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) y)) (/ 1 x))) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (- 1 x)) y))) (/ (* (pow (- 1 x) 2) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) (* x y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x)))))))) y)) (/ 1 x)) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y))
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) y)) (* (sqrt x) (- 1 x))) y))))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (- 1 x) 2) (* (pow x 2) y))) (/ (pow (- 1 x) 2) (* (pow x 2) y))) (* (sqrt (/ 1 (pow x 3))) (- 1 x))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (/ (pow (- 1 x) 2) (pow x 2))) (/ (pow (- 1 x) 2) (pow x 2))) (- 1 x)) y))) (* -1 (* (sqrt (/ 1 (pow x 5))) (/ (pow (- 1 x) 3) y)))) (+ (* -1 (/ (pow (- 1 x) 2) (pow x 2))) (/ (pow (- 1 x) 2) (pow x 2)))) y)) (* (sqrt (/ 1 (pow x 3))) (- 1 x))) y)) (/ 1 x)) (pow y 2))
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)
(/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* (sqrt x) y)) (- 1 (* (sqrt x) y)))
(/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(+ (* -1 (* x (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y)))))
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(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
(/ 1 (- 1 x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(+ (* y (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+ (* y (- (+ (* -1 (* y (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))
(fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+ (* y (- (+ (* y (- (* -1 (* y (+ (* (sqrt x) (/ (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))) (- 1 x))) (/ (* x (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (pow (- 1 x) 2))))) (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) y (fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))))) y (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(pow (- 1 x) 2)
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(+ (* -1 (* (sqrt x) (* y (- 1 x)))) (pow (- 1 x) 2))
(fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(+ (* y (+ (* -1 (* (sqrt x) (- 1 x))) (* x y))) (pow (- 1 x) 2))
(fma.f64 (-.f64 (*.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/ 1 (pow (- 1 x) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(+ (* (sqrt x) (/ y (pow (- 1 x) 3))) (/ 1 (pow (- 1 x) 2)))
(fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 1 x) 4))) (/ x (pow (- 1 x) 4))))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 3)))))) (/ 1 (pow (- 1 x) 2)))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) y (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(+ (* y (- (* y (- (* -1 (* y (+ (* (sqrt x) (/ (+ (* -1 (/ x (pow (- 1 x) 4))) (/ x (pow (- 1 x) 4))) (- 1 x))) (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 5)))))) (+ (* -1 (/ x (pow (- 1 x) 4))) (/ x (pow (- 1 x) 4))))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 3)))))) (/ 1 (pow (- 1 x) 2)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 5 binary64)))) #s(literal 0 binary64)) y (/.f64 (sqrt.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) y (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(* 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 (/ 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)
(* (sqrt (/ 1 x)) (/ 1 y))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (+ (* -1 (/ (- 1 x) (* x y))) (/ 1 y))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (pow y 2))) (/ 1 (* x y)))) (+ (* -1 (/ (- 1 x) (* x y))) (/ 1 y))) y)
(/.f64 (+.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 y y))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) y)) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (- 1 x))) (/ (* (pow (- 1 x) 2) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) x)) (pow y 3))) (/ 1 (* x y)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) (pow y 2)))) (+ (* -1 (/ (- 1 x) (* x y))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2))) (/ 1 y))))) y)
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)) y)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) y) y))))) y)
(* x (pow y 2))
(*.f64 (*.f64 y x) y)
(* (pow y 2) (+ x (* -1 (* (sqrt x) (/ (- 1 x) y)))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (sqrt.f64 x) x) (*.f64 y y))
(* (pow y 2) (+ x (+ (* -1 (* (sqrt x) (/ (- 1 x) y))) (/ (pow (- 1 x) 2) (pow y 2)))))
(*.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 y)) (sqrt.f64 x) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) y)) x) (*.f64 y y))
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(/ (+ (* (sqrt (/ 1 (pow x 3))) (/ (- 1 x) y)) (/ 1 x)) (pow y 2))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) (pow x 2))) (/ (pow (- 1 x) 2) (pow x 2))) (pow y 2))) (/ 1 x)) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (- 1 x) y)))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (/ (pow (- 1 x) 2) (pow x 2))) (/ (pow (- 1 x) 2) (pow x 2))) (- 1 x))) (* (sqrt (/ 1 (pow x 5))) (pow (- 1 x) 3))) (pow y 3))) (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (- 1 x) y))) (+ (* -1 (/ (pow (- 1 x) 2) (* (pow x 2) (pow y 2)))) (/ (pow (- 1 x) 2) (* (pow x 2) (pow y 2)))))) (pow y 2))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 y y))
(* -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)) (/ x y))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) (sqrt.f64 x)))
(* -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 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) y))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) y)) (/ 1 x))) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) y) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))))) (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (- 1 x)) y))) (/ (* (pow (- 1 x) 2) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) (* x y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x)))))))) y)) (/ 1 x)) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) y)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))) (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 y))
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) y)) (* (sqrt x) (- 1 x))) y))))
(*.f64 (-.f64 x (/.f64 (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 y))) y)) (*.f64 y y))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow (- 1 x) 2) (* (pow x 2) y))) (/ (pow (- 1 x) 2) (* (pow x 2) y))) (* (sqrt (/ 1 (pow x 3))) (- 1 x))) y)) (/ 1 x)) (pow y 2))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (/ (pow (- 1 x) 2) (pow x 2))) (/ (pow (- 1 x) 2) (pow x 2))) (- 1 x)) y))) (* -1 (* (sqrt (/ 1 (pow x 5))) (/ (pow (- 1 x) 3) y)))) (+ (* -1 (/ (pow (- 1 x) 2) (pow x 2))) (/ (pow (- 1 x) 2) (pow x 2)))) y)) (* (sqrt (/ 1 (pow x 3))) (- 1 x))) y)) (/ 1 x)) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.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 5 binary64))))))) #s(literal -1 binary64) #s(literal 0 binary64)) y)) y)) (*.f64 y y))

rewrite280.0ms (5.3%)

Memory
40.3MiB live, 303.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029188
051145
1207139
21647139
08452139
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 757
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (pow.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)))) #s(literal -1 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)) (pow.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)))) #s(literal -1 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 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)
(pow.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)))) #s(literal -1 binary64))
Outputs
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(-.f64 (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))))) (/.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 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 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (sqrt.f64 x))))
(+.f64 (*.f64 (*.f64 (*.f64 y x) y) (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (*.f64 (*.f64 y x) y) (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (*.f64 (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 y x) y)) (*.f64 (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 y x) y)))
(+.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 x))))
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 1/8 binary64)) y))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 y x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 y x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 y x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y x) y)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 y x) y) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal -1/2 binary64) (*.f64 (log.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))

eval263.0ms (5%)

Memory
1.6MiB live, 212.0MiB allocated
Compiler

Compiled 58 267 to 3 471 computations (94% saved)

prune80.0ms (1.5%)

Memory
-13.1MiB live, 63.6MiB allocated
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1 08491 093
Fresh303
Picked325
Done000
Total1 090111 101
Accuracy
100.0%
Counts
1 101 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶73.2%
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (neg.f64 x))
✓99.9%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶70.0%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
69.7%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
69.4%
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) (*.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
66.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
✓59.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶38.0%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
30.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶30.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶41.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
Compiler

Compiled 339 to 236 computations (30.4% saved)

simplify116.0ms (2.2%)

Memory
4.8MiB live, 43.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 y x) y)
cost-diff128
(-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
cost-diff128
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
cost-diff320
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (neg.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035221
051221
178219
2123219
3248219
4527219
5962219
61832219
72673219
82876219
92968219
103102219
113119219
123133219
133138219
143138219
153138219
03138206
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (neg.f64 x))
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(neg.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(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #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
Outputs
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (neg.f64 x))
(-.f64 (/.f64 (fma.f64 (*.f64 x y) y #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) x)
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y #s(literal -1 binary64))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 x y) y)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
(-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
(neg.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(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #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

localize88.0ms (1.7%)

Memory
-20.3MiB live, 105.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
accuracy2.2314906488648614
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
accuracy19.161915929780125
#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))
accuracy29.620499985695908
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
accuracy0
(sqrt.f64 x)
accuracy0
(neg.f64 x)
accuracy0.0625
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
accuracy32.15967210061193
#s(approx (- 1 x) (neg.f64 x))
accuracy0
(sqrt.f64 x)
accuracy0.21484375
(*.f64 (sqrt.f64 x) y)
accuracy19.161915929780125
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
accuracy29.64180458792133
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
accuracy25.800628194900284
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy32.0901099567189
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0.12890625
(*.f64 (*.f64 y x) y)
accuracy0.21484375
(*.f64 y (sqrt.f64 x))
accuracy0.2822870810811797
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
accuracy16.535817085819378
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (neg.f64 x))
Samples
59.0ms256×0valid
Compiler

Compiled 379 to 61 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 19.0ms (43.1% of total)
ival-div: 12.0ms (27.2% of total)
ival-add: 4.0ms (9.1% of total)
ival-sub: 4.0ms (9.1% of total)
ival-sqrt: 3.0ms (6.8% of total)
ival-neg: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
24.6MiB live, 24.5MiB allocated
Counts
19 → 69
Calls
Call 1
Inputs
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (neg.f64 x))
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 y x) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#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)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 y (sqrt.f64 x))
Outputs
(/ -1 (- (* (sqrt x) y) 1))
(- (* x (- (/ (pow y 2) (- (* (sqrt x) y) 1)) 1)) (/ 1 (- (* (sqrt x) y) 1)))
-1
(- (* x (pow y 2)) 1)
(- (* (sqrt x) y) 1)
(* x (pow y 2))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(sqrt x)
(* -1 x)
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ 1 (- (* (sqrt x) y) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(* x (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow x 3)) (/ 1 y))) (/ x (pow y 2))) (pow x 3))) (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(* x (- (pow y 2) (/ 1 x)))
(* x (- (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (pow y 2))) x)
(/ (+ (* (sqrt x) (/ 1 y)) (+ (* (sqrt (/ 1 x)) (/ 1 (pow y 3))) (/ 1 (pow y 2)))) x)
(/ (- (+ (* (sqrt x) (/ 1 y)) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 2)))) (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3))))) x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ -1 (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 y)))) x))) x)))))
(* -1 (* x (+ (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* (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 (* x (- 1 (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (* (pow y 2) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* (sqrt x) (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* -1 (/ (- (* -1 (/ x (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow y 3) (pow (sqrt -1) 2)))))) x))) x)) (* (sqrt x) (/ 1 y))) x))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* y (+ (sqrt x) (* y (+ x (* -1 x)))))) x)
(- (* -1 (* (sqrt x) y)) 1)
(- (* y (- (* -1 (* x y)) (sqrt x))) 1)
(- (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) y)) x)) (sqrt x))) 1)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (pow y 2))) (/ 1 y))) (/ x y)))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(* y (- (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(/ (+ (sqrt (/ 1 x)) (/ 1 (* x y))) y)
(/ (+ (sqrt (/ 1 x)) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) (/ 1 (* x y)))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 3))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))))) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt (/ 1 x)) (/ 1 y)))) 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 (/ (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (+ (/ 1 x) (/ 1 (* (pow x 2) (pow y 2))))) y))) y))
Calls

6 calls:

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

simplify126.0ms (2.4%)

Memory
-11.7MiB live, 174.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0263911
1796791
22610763
08203720
Stop Event
1×iter limit
1×node limit
Counts
69 → 69
Calls
Call 1
Inputs
(/ -1 (- (* (sqrt x) y) 1))
(- (* x (- (/ (pow y 2) (- (* (sqrt x) y) 1)) 1)) (/ 1 (- (* (sqrt x) y) 1)))
-1
(- (* x (pow y 2)) 1)
(- (* (sqrt x) y) 1)
(* x (pow y 2))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(sqrt x)
(* -1 x)
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ 1 (- (* (sqrt x) y) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(* x (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow x 3)) (/ 1 y))) (/ x (pow y 2))) (pow x 3))) (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(* x (- (pow y 2) (/ 1 x)))
(* x (- (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (pow y 2))) x)
(/ (+ (* (sqrt x) (/ 1 y)) (+ (* (sqrt (/ 1 x)) (/ 1 (pow y 3))) (/ 1 (pow y 2)))) x)
(/ (- (+ (* (sqrt x) (/ 1 y)) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 2)))) (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3))))) x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ -1 (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 y)))) x))) x)))))
(* -1 (* x (+ (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* (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 (* x (- 1 (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (* (pow y 2) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* (sqrt x) (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* -1 (/ (- (* -1 (/ x (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow y 3) (pow (sqrt -1) 2)))))) x))) x)) (* (sqrt x) (/ 1 y))) x))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* y (+ (sqrt x) (* y (+ x (* -1 x)))))) x)
(- (* -1 (* (sqrt x) y)) 1)
(- (* y (- (* -1 (* x y)) (sqrt x))) 1)
(- (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) y)) x)) (sqrt x))) 1)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (pow y 2))) (/ 1 y))) (/ x y)))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(* y (- (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(/ (+ (sqrt (/ 1 x)) (/ 1 (* x y))) y)
(/ (+ (sqrt (/ 1 x)) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) (/ 1 (* x y)))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 3))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))))) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt (/ 1 x)) (/ 1 y)))) 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 (/ (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (+ (/ 1 x) (/ 1 (* (pow x 2) (pow y 2))))) y))) y))
Outputs
(/ -1 (- (* (sqrt x) y) 1))
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
(- (* x (- (/ (pow y 2) (- (* (sqrt x) y) 1)) 1)) (/ 1 (- (* (sqrt x) y) 1)))
(fma.f64 (fma.f64 (/.f64 y (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) y #s(literal -1 binary64)) x (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* x (pow y 2)) 1)
(fma.f64 (*.f64 y y) x #s(literal -1 binary64))
(- (* (sqrt x) y) 1)
(fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(+ 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)
(+ (* -1 x) (* (sqrt x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(sqrt x)
(sqrt.f64 x)
(* -1 x)
(neg.f64 x)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) x)
(/ 1 (- (* (sqrt x) y) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y))) x))
(* x (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow x 3)) (/ 1 y))) (/ x (pow y 2))) (pow x 3))) (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) x (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 (-.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y) (/.f64 x (*.f64 y y))) (pow.f64 x #s(literal 3 binary64)))) x #s(literal 1 binary64)))
(* x (- (pow y 2) (/ 1 x)))
(fma.f64 (*.f64 y y) x #s(literal -1 binary64))
(* x (- (* (sqrt (/ 1 x)) y) (/ 1 x)))
(fma.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(- (* (sqrt (/ 1 x)) y) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* (sqrt (/ 1 x)) (/ 1 y))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (pow y 2))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (sqrt.f64 x) y)) x)
(/ (+ (* (sqrt x) (/ 1 y)) (+ (* (sqrt (/ 1 x)) (/ 1 (pow y 3))) (/ 1 (pow y 2)))) x)
(/.f64 (fma.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (sqrt.f64 x) y)) x)
(/ (- (+ (* (sqrt x) (/ 1 y)) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 2)))) (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3))))) x)
(/.f64 (fma.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (sqrt.f64 x) y))) x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ -1 (pow (sqrt -1) 2)))) x)))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 1 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 y)))) x))) x)))))
(neg.f64 (+.f64 (fma.f64 (sqrt.f64 x) y (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x y))) (+.f64 (/.f64 (sqrt.f64 x) y) x)) x)) x))
(* -1 (* x (+ (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 (*.f64 y y) x #s(literal -1 binary64))
(* -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))))
(fma.f64 (*.f64 x y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (sqrt (/ 1 x)) (/ 1 y)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* -1 (/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (* (pow y 2) (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* (sqrt x) (/ 1 y))) x))
(/.f64 (+.f64 (/.f64 (neg.f64 (sqrt.f64 x)) y) (/.f64 (+.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (*.f64 y y))) x)) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* -1 (/ (- (* -1 (/ x (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow y 3) (pow (sqrt -1) 2)))))) x))) x)) (* (sqrt x) (/ 1 y))) x))
(/.f64 (+.f64 (/.f64 (neg.f64 (sqrt.f64 x)) y) (/.f64 (+.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) 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 (* y (+ (sqrt x) (* y (+ x (* -1 x)))))) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(- (* -1 (* (sqrt x) y)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))
(- (* y (- (* -1 (* x y)) (sqrt x))) 1)
(fma.f64 (neg.f64 (fma.f64 x y (sqrt.f64 x))) y #s(literal -1 binary64))
(- (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) y)) x)) (sqrt x))) 1)
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y x)) y (neg.f64 (sqrt.f64 x))) y #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 (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (pow y 2))) (/ 1 y))) (/ x y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* (pow y 2) (- x (/ 1 (pow y 2))))
(*.f64 (*.f64 (-.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) 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) y) x)
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(/ (+ (sqrt (/ 1 x)) (/ 1 (* x y))) y)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(/ (+ (sqrt (/ 1 x)) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) (/ 1 (* x y)))) y)
(/.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 3))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))))) y)
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y))) y)
(* -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 (/ (- (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt (/ 1 x)) (/ 1 y)))) x) y)))))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (/ 1 y))))
(fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* -1 (/ (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y))) y))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (+ (/ 1 x) (/ 1 (* (pow x 2) (pow y 2))))) y))) y))
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) x) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)

rewrite209.0ms (4%)

Memory
-15.4MiB live, 194.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035194
051192
1179174
21244166
09101159
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 521
Calls
Call 1
Inputs
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (neg.f64 x))
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 y x) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#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)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 y (sqrt.f64 x))
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))))
(*.f64 (-.f64 (*.f64 (*.f64 x y) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)) (-.f64 x (*.f64 (sqrt.f64 x) y))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))))
(*.f64 (neg.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 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (fma.f64 (sqrt.f64 x) y (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))))
(*.f64 (neg.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 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))
(*.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 #s(literal 1 binary64) (fma.f64 x x (+.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #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))) (pow.f64 (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))))))
(*.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))) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) (fma.f64 (sqrt.f64 x) y (neg.f64 (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x y) y) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x y) y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 x y) y))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) y) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x y) y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y)) (*.f64 (*.f64 x y) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y)) (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 x y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 x y) y) (*.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y)))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))))
(fma.f64 (*.f64 (*.f64 x y) y) (pow.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y))) (/.f64 (*.f64 (*.f64 x y) y) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y))))
(-.f64 (/.f64 (*.f64 (*.f64 x y) y) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))))
(+.f64 (/.f64 (*.f64 (*.f64 x y) y) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))) (neg.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))))))
(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64))))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)
(*.f64 x #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))))
(/.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 y (sqrt.f64 x))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y y) x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 x y) y #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x y) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) y #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 y y) x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) y)
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 y (sqrt.f64 x))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))

eval124.0ms (2.4%)

Memory
6.3MiB live, 162.6MiB allocated
Compiler

Compiled 18 956 to 1 987 computations (89.5% saved)

prune16.0ms (0.3%)

Memory
15.5MiB live, 53.2MiB allocated
Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New6043607
Fresh134
Picked145
Done022
Total60612618
Accuracy
100.0%
Counts
618 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶35.3%
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))) (neg.f64 x))
✓99.9%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓70.0%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
▶69.7%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
69.4%
(/.f64 (-.f64 (fma.f64 (*.f64 x y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
▶66.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
✓59.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶38.0%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
✓38.0%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
▶30.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓30.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓41.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
Compiler

Compiled 309 to 216 computations (30.1% saved)

simplify130.0ms (2.5%)

Memory
12.2MiB live, 85.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) y)
cost-diff128
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
cost-diff320
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))) (neg.f64 x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 y (sqrt.f64 x))
cost-diff0
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
cost-diff0
(/.f64 y (sqrt.f64 x))
cost-diff0
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x)))
cost-diff0
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) 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
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032211
046211
176209
2123209
3245209
4528209
51021209
62038209
72657209
82859209
92956209
103010209
113023209
123100209
133134209
143146209
153175209
163175209
03175198
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(neg.f64 x)
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))) (neg.f64 x))
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y)))
#s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
(neg.f64 x)
Outputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) #s(literal 1 binary64)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(neg.f64 x)
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))) (neg.f64 x))
(-.f64 (/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x)))) x)
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(fma.f64 (*.f64 y x) y #s(literal -1 binary64))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))))
#s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))
#s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(neg.f64 x)

localize79.0ms (1.5%)

Memory
9.2MiB live, 172.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.21484375
(*.f64 (sqrt.f64 x) y)
accuracy0.2822870810811797
(/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y)))
accuracy16.535817085819378
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))) (neg.f64 x))
accuracy29.549136311685295
#s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))
accuracy0
(neg.f64 x)
accuracy0.23828125
(/.f64 y (sqrt.f64 x))
accuracy2.2275843988648614
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
accuracy19.161915929780125
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
accuracy0.23828125
(/.f64 y (sqrt.f64 x))
accuracy2.2314906488648614
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)
accuracy19.161915929780125
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
accuracy29.620499985695908
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x)))
accuracy0
(neg.f64 x)
accuracy25.800628194900284
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy32.15967210061193
#s(approx (- 1 x) (neg.f64 x))
accuracy0
(sqrt.f64 x)
accuracy0.0625
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy32.0901099567189
#s(approx (- 1 x) #s(literal 1 binary64))
Samples
58.0ms256×0valid
Compiler

Compiled 363 to 61 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 14.0ms (40.9% of total)
ival-div: 5.0ms (14.6% of total)
ival-add: 5.0ms (14.6% of total)
ival-sub: 5.0ms (14.6% of total)
ival-sqrt: 4.0ms (11.7% of total)
ival-neg: 1.0ms (2.9% 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
-10.6MiB live, 34.1MiB allocated
Counts
19 → 71
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(sqrt.f64 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) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))) (neg.f64 x))
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
#s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))
(/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 x) y)
Outputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* -1 x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ -1 (- (* (sqrt x) y) 1))
(- (* x (- (/ (pow y 2) (- (* (sqrt x) y) 1)) 1)) (/ 1 (- (* (sqrt x) y) 1)))
-1
(- (* x (pow y 2)) 1)
(* x (pow y 2))
(* x y)
(- (* (sqrt x) y) 1)
(/ 1 (- (* (sqrt x) y) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(* x (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow x 3)) (/ 1 y))) (/ x (pow y 2))) (pow x 3))) (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(* x (- (pow y 2) (/ 1 x)))
(* x (- (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (pow y 2))) x)
(/ (+ (* (sqrt x) (/ 1 y)) (+ (* (sqrt (/ 1 x)) (/ 1 (pow y 3))) (/ 1 (pow y 2)))) x)
(/ (- (+ (* (sqrt x) (/ 1 y)) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 2)))) (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3))))) 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) (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)
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ -1 (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 y)))) x))) x)))))
(* -1 (* x (+ (* -1 (pow y 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 (/ 1 x)) (/ 1 y)))
(* -1 (/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (* (pow y 2) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* (sqrt x) (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* -1 (/ (- (* -1 (/ x (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow y 3) (pow (sqrt -1) 2)))))) x))) x)) (* (sqrt x) (/ 1 y))) x))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (* (sqrt x) y) x)
(- (+ 1 (* y (+ (sqrt x) (* y (+ x (* -1 x)))))) x)
(- (* -1 (* (sqrt x) y)) 1)
(- (* y (- (* -1 (* x y)) (sqrt x))) 1)
(- (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) y)) x)) (sqrt x))) 1)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (+ (sqrt x) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (pow y 2))) (/ 1 y))) (/ x y)))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(* y (- (sqrt x) (/ 1 y)))
(/ (+ (sqrt (/ 1 x)) (/ 1 (* x y))) y)
(/ (+ (sqrt (/ 1 x)) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) (/ 1 (* x y)))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 3))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))))) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt (/ 1 x)) (/ 1 y)))) x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ 1 y))))
(* -1 (/ (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (+ (/ 1 x) (/ 1 (* (pow x 2) (pow y 2))))) y))) y))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (+ (* (- (* (* y x) y) 1) (/ 1 (- (* y (sqrt x)) 1))) (neg x)) (- (* (* y x) y) 1) (* (* y x) y) (* y x) (- (* y (sqrt x)) 1) (/ 1 (- (* y (sqrt x)) 1)) (* (sqrt x) y))
4.0ms
x
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (+ (* (- (* (* y x) y) 1) (/ 1 (- (* y (sqrt x)) 1))) (neg x)) (- (* (* y x) y) 1) (* (* y x) y) (* y x) (- (* y (sqrt x)) 1) (/ 1 (- (* y (sqrt x)) 1)) (* (sqrt x) y))
2.0ms
y
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (+ (* (- (* (* y x) y) 1) (/ 1 (- (* y (sqrt x)) 1))) (neg x)) (- (* (* y x) y) 1) (* (* y x) y) (* y x) (- (* y (sqrt x)) 1) (/ 1 (- (* y (sqrt x)) 1)) (* (sqrt x) y))
2.0ms
y
@inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (+ (* (- (* (* y x) y) 1) (/ 1 (- (* y (sqrt x)) 1))) (neg x)) (- (* (* y x) y) 1) (* (* y x) y) (* y x) (- (* y (sqrt x)) 1) (/ 1 (- (* y (sqrt x)) 1)) (* (sqrt x) y))
2.0ms
x
@inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (+ (* (- (* (* y x) y) 1) (/ 1 (- (* y (sqrt x)) 1))) (neg x)) (- (* (* y x) y) 1) (* (* y x) y) (* y x) (- (* y (sqrt x)) 1) (/ 1 (- (* y (sqrt x)) 1)) (* (sqrt x) y))

simplify131.0ms (2.5%)

Memory
-0.8MiB live, 200.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0268923
1812803
22669775
08195730
Stop Event
1×iter limit
1×node limit
Counts
71 → 71
Calls
Call 1
Inputs
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
1
(+ 1 (* -1 x))
(* -1 x)
(* (sqrt x) y)
(+ (* -1 x) (* (sqrt x) y))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ -1 (- (* (sqrt x) y) 1))
(- (* x (- (/ (pow y 2) (- (* (sqrt x) y) 1)) 1)) (/ 1 (- (* (sqrt x) y) 1)))
-1
(- (* x (pow y 2)) 1)
(* x (pow y 2))
(* x y)
(- (* (sqrt x) y) 1)
(/ 1 (- (* (sqrt x) y) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (/ 1 x) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(* x (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow x 3)) (/ 1 y))) (/ x (pow y 2))) (pow x 3))) (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(* x (- (pow y 2) (/ 1 x)))
(* x (- (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (pow y 2))) x)
(/ (+ (* (sqrt x) (/ 1 y)) (+ (* (sqrt (/ 1 x)) (/ 1 (pow y 3))) (/ 1 (pow y 2)))) x)
(/ (- (+ (* (sqrt x) (/ 1 y)) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 2)))) (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3))))) 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) (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)
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ -1 (pow (sqrt -1) 2)))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 y)))) x))) x)))))
(* -1 (* x (+ (* -1 (pow y 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 (/ 1 x)) (/ 1 y)))
(* -1 (/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (* (pow y 2) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* (sqrt x) (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* -1 (/ (- (* -1 (/ x (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow y 3) (pow (sqrt -1) 2)))))) x))) x)) (* (sqrt x) (/ 1 y))) x))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (* (sqrt x) y) x)
(- (+ 1 (* y (+ (sqrt x) (* y (+ x (* -1 x)))))) x)
(- (* -1 (* (sqrt x) y)) 1)
(- (* y (- (* -1 (* x y)) (sqrt x))) 1)
(- (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) y)) x)) (sqrt x))) 1)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (+ (sqrt x) (* -1 (/ x y))))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (+ (sqrt x) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (pow y 2))) (/ 1 y))) (/ x y)))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(* y (- (sqrt x) (/ 1 y)))
(/ (+ (sqrt (/ 1 x)) (/ 1 (* x y))) y)
(/ (+ (sqrt (/ 1 x)) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) (/ 1 (* x y)))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 3))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))))) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt (/ 1 x)) (/ 1 y)))) x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ 1 y))))
(* -1 (/ (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (+ (/ 1 x) (/ 1 (* (pow x 2) (pow y 2))))) y))) 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)
(sqrt x)
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(+ (* -1 x) (* (sqrt x) y))
(-.f64 (*.f64 (sqrt.f64 x) y) 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))
(/ -1 (- (* (sqrt x) y) 1))
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
(- (* x (- (/ (pow y 2) (- (* (sqrt x) y) 1)) 1)) (/ 1 (- (* (sqrt x) y) 1)))
(fma.f64 (fma.f64 y (/.f64 y (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal -1 binary64)) x (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* x (pow y 2)) 1)
(fma.f64 (*.f64 y x) y #s(literal -1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x y)
(*.f64 y x)
(- (* (sqrt x) y) 1)
(fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))
(/ 1 (- (* (sqrt x) y) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(- (* (sqrt (/ 1 x)) y) 1)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (-.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y))) x))
(* x (- (+ (* -1 (/ (+ (* -1 (* (sqrt (pow x 3)) (/ 1 y))) (/ x (pow y 2))) (pow x 3))) (+ (* (sqrt (/ 1 x)) y) (/ 1 x))) (+ 1 (* (sqrt (/ 1 (pow x 3))) (/ 1 y)))))
(fma.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 (-.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y) (/.f64 x (*.f64 y y))) (pow.f64 x #s(literal 3 binary64)))) x #s(literal 1 binary64)))
(* x (- (pow y 2) (/ 1 x)))
(fma.f64 (*.f64 y x) y #s(literal -1 binary64))
(* 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)) (/ 1 y))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (pow y 2))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (sqrt.f64 x) y)) x)
(/ (+ (* (sqrt x) (/ 1 y)) (+ (* (sqrt (/ 1 x)) (/ 1 (pow y 3))) (/ 1 (pow y 2)))) x)
(/.f64 (fma.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (sqrt.f64 x) y)) x)
(/ (- (+ (* (sqrt x) (/ 1 y)) (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 2)))) (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 3))))) x)
(/.f64 (fma.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (sqrt.f64 x) y))) 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 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(*.f64 (fma.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)
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (+ (* (sqrt (/ 1 x)) (/ 1 y)) (/ -1 (pow (sqrt -1) 2)))) x)))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 1 binary64) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 y)))) x))) x)))))
(neg.f64 (+.f64 (fma.f64 (sqrt.f64 x) y (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 y x))) (+.f64 (/.f64 (sqrt.f64 x) y) x)) x)) x))
(* -1 (* x (+ (* -1 (pow y 2)) (/ 1 x))))
(fma.f64 (*.f64 y x) y #s(literal -1 binary64))
(* -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))))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* -1 (* (sqrt (/ 1 x)) (/ 1 y)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* -1 (/ (+ (* (sqrt x) (/ 1 y)) (/ 1 (* (pow y 2) (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* (sqrt x) (/ 1 y))) x))
(/.f64 (+.f64 (/.f64 (neg.f64 (sqrt.f64 x)) y) (/.f64 (+.f64 (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (*.f64 y y))) x)) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* -1 (/ (- (* -1 (/ x (* (pow y 4) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (pow x 3)) (/ 1 (* (pow y 3) (pow (sqrt -1) 2)))))) x))) x)) (* (sqrt x) (/ 1 y))) x))
(/.f64 (+.f64 (/.f64 (neg.f64 (sqrt.f64 x)) y) (/.f64 (+.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) x)) 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)
(- (* (sqrt x) y) x)
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(- (+ 1 (* y (+ (sqrt x) (* y (+ x (* -1 x)))))) x)
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(- (* -1 (* (sqrt x) y)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y))
(- (* y (- (* -1 (* x y)) (sqrt x))) 1)
(fma.f64 (neg.f64 (fma.f64 y x (sqrt.f64 x))) y #s(literal -1 binary64))
(- (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) y)) x)) (sqrt x))) 1)
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y x)) y (neg.f64 (sqrt.f64 x))) y #s(literal -1 binary64))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (sqrt x) (* -1 (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(* y (- (+ (sqrt x) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (pow y 2))) (/ 1 y))) (/ x y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* (pow y 2) (- x (/ 1 (pow y 2))))
(*.f64 (*.f64 (-.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y)
(* y (- (sqrt x) (/ 1 y)))
(fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))
(/ (+ (sqrt (/ 1 x)) (/ 1 (* x y))) y)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(/ (+ (sqrt (/ 1 x)) (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))) (/ 1 (* x y)))) y)
(/.f64 (+.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 3))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))))) y)
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y))) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))
(-.f64 (*.f64 (sqrt.f64 x) y) x)
(* -1 (* y (+ (* -1 (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 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt (/ 1 x)) (/ 1 y)))) x) y)))))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (sqrt x)) (/ 1 y))))
(fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))
(* -1 (/ (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y))) y))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (+ (/ 1 x) (/ 1 (* (pow x 2) (pow y 2))))) y))) y))
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) x) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) y)

rewrite268.0ms (5.1%)

Memory
8.8MiB live, 237.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032186
046178
1196178
21436174
08720166
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 531
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(sqrt.f64 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) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
(*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x)
#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))) (neg.f64 x))
(-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
#s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))
(/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 x) y)
Outputs
(*.f64 (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y y) x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))) (fma.f64 (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))) (neg.f64 (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64))) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y x) y) (*.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 y x) y) (*.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y y) x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y x) y) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x))))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(fma.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 x #s(literal -1/2 binary64))) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (pow.f64 x #s(literal -1/2 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y x) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 x (/.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))))
(+.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
(*.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)) x)
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
#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) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
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#s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x)))) #s(literal -1 binary64))
(/.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x)))))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x)))))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 x (pow.f64 x #s(literal -1/2 binary64))) y)
(*.f64 (*.f64 y x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 y x))
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 y (/.f64 x (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(*.f64 x (/.f64 y (sqrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 y))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y x))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 x (neg.f64 y)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 y x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y x))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (sqrt.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y x)))
(/.f64 x (/.f64 (sqrt.f64 x) y))

eval157.0ms (3%)

Memory
-21.5MiB live, 141.8MiB allocated
Compiler

Compiled 24 316 to 2 295 computations (90.6% saved)

prune29.0ms (0.5%)

Memory
-2.6MiB live, 43.7MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New6741675
Fresh101
Picked145
Done066
Total67611687
Accuracy
100.0%
Counts
687 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓70.0%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓69.7%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
69.6%
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))
✓66.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
✓59.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓38.0%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
✓38.0%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
✓30.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓30.1%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓41.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
Compiler

Compiled 561 to 216 computations (61.5% saved)

regimes22.0ms (0.4%)

Memory
0.0MiB live, 38.9MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (/.f64 y (sqrt.f64 x))) x))
(fma.f64 y (/.f64 x (sqrt.f64 x)) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))) (neg.f64 x))
(fma.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (-.f64 (fma.f64 (*.f64 x y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)) (*.f64 (-.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #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))) (neg.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
(*.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)) (pow.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)))) #s(literal -1 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

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

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (0.2%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
7 → 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 (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
Calls

3 calls:

3.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
98.8%2x
97.4%3y
98.4%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (0.2%)

Memory
-18.4MiB live, 20.6MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
Calls

3 calls:

4.0ms
x
3.0ms
y
3.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
95.9%3y
81.3%3(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
81.1%2x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 (sqrt.f64 x) y)))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
92.8%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

2.0ms
y
2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
2.0ms
x
Results
AccuracySegmentsBranch
59.7%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
59.7%1x
59.7%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.1%)

Memory
-23.3MiB live, 15.7MiB 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:

3.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
58.8%2x
36.4%2y
59.4%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
y
1.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms
x
Results
AccuracySegmentsBranch
30.1%1y
30.1%1x
30.1%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch59.0ms (1.1%)

Memory
-6.5MiB live, 39.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
58.0ms
5.701695647327401e-6
0.00013434742884271467
Samples
40.0ms112×0valid
Compiler

Compiled 179 to 159 computations (11.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (34.8% of total)
ival-add: 1.0ms (34.8% of total)
ival-mult: 1.0ms (34.8% of total)
ival-sqrt: 1.0ms (34.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.6%)

Memory
1.3MiB live, 37.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
6.486596675935477e+37
2.6126106403208834e+42
8.0ms
-7.53428123978614e+46
-8.477672121745699e+45
Samples
19.0ms224×0valid
Compiler

Compiled 375 to 334 computations (10.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sqrt: 2.0ms (34.9% of total)
ival-sub: 1.0ms (17.4% of total)
ival-add: 1.0ms (17.4% of total)
ival-mult: 1.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.4%)

Memory
-10.0MiB live, 27.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
5.1075912886141e+91
1.3670236975746326e+92
7.0ms
-7.53428123978614e+46
-8.477672121745699e+45
Samples
8.0ms160×0valid
Compiler

Compiled 407 to 331 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (23.7% of total)
ival-add: 1.0ms (23.7% of total)
ival-mult: 1.0ms (23.7% of total)
ival-sqrt: 1.0ms (23.7% 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
-118865.78139699034
0.9999942983043527
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify54.0ms (1%)

Memory
8.0MiB live, 46.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048217
156217
259217
360217
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -23000000000000000602806197963719130677638070272 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 230000000000000011822781932279601037312 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 -71999999999999997477826010223018490828421070848 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 52000000000000000518738104120454744457530477767182226414122467060869613678399657650251890688 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 -100000 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 4796153459164483/36893488147419103232 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -23000000000000000602806197963719130677638070272 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 230000000000000011822781932279601037312 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 -71999999999999997477826010223018490828421070848 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 52000000000000000518738104120454744457530477767182226414122467060869613678399657650251890688 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 (<=.f64 y #s(literal -71999999999999997477826010223018490828421070848 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (*.f64 y (sqrt.f64 x)))) (if (<=.f64 y #s(literal 52000000000000000518738104120454744457530477767182226414122467060869613678399657650251890688 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 y (sqrt.f64 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 -100000 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))))
(if (<=.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) #s(literal -100000 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)))

soundness743.0ms (14.1%)

Memory
17.6MiB live, 407.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06085458
119334684
277764576
086834373
052113
1141113
2438109
31296109
44654109
57388109
0810598
0717
01117
14617
235717
3531517
0897416
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 301 to 127 computations (57.8% saved)

preprocess44.0ms (0.8%)

Memory
2.1MiB live, 73.6MiB allocated
Compiler

Compiled 450 to 110 computations (75.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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