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

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB 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)

sample955.0ms (14.2%)

Memory
-8.0MiB live, 862.7MiB allocated
Samples
643.0ms8 254×0valid
11.0ms247×0invalid
0.0ms2×2valid
Precisions
Click to see histograms. Total time spent on operations: 457.0ms
ival-add: 249.0ms (54.5% of total)
ival-mult: 66.0ms (14.5% of total)
ival-sqrt: 64.0ms (14% of total)
ival-sub: 62.0ms (13.6% of total)
ival-true: 6.0ms (1.3% of total)
exact: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain259.0ms (3.9%)

Memory
-275.3MiB live, 77.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
00-0-(sqrt.f64 x)
00-0-y
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(*.f64 y (sqrt.f64 x))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
28.0ms512×0valid
Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sqrt: 4.0ms (29.5% of total)
ival-sub: 3.0ms (22.1% of total)
ival-mult: 3.0ms (22.1% of total)
ival-add: 2.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess47.0ms (0.7%)

Memory
10.5MiB live, 49.7MiB 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
(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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify16.0ms (0.2%)

Memory
-16.8MiB live, 20.0MiB 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
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (sqrt.f64 x) y)
y
(sqrt.f64 x)

localize22.0ms (0.3%)

Memory
-4.2MiB live, 33.2MiB 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)))
accuracy0.23828125
(*.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: 7.0ms
ival-sub: 2.0ms (29.3% of total)
ival-mult: 2.0ms (29.3% of total)
ival-sqrt: 2.0ms (29.3% of total)
ival-add: 1.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify285.0ms (4.2%)

Memory
-9.0MiB live, 115.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052369
1141369
2438357
31298357
44644357
57351357
08077330
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt 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 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(neg.f64 x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)

rewrite179.0ms (2.7%)

Memory
32.8MiB live, 147.8MiB 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
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eval54.0ms (0.8%)

Memory
-8.5MiB live, 65.3MiB allocated
Compiler

Compiled 6 291 to 753 computations (88% saved)

prune32.0ms (0.5%)

Memory
-6.0MiB live, 32.5MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New31311324
Fresh000
Picked101
Done000
Total31411325
Accuracy
100.0%
Counts
325 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
▶75.9%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
▶99.8%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶99.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
99.7%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
72.6%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))))
91.5%
(*.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))))
▶67.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶60.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
65.7%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
41.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
Compiler

Compiled 326 to 224 computations (31.3% saved)

simplify192.0ms (2.9%)

Memory
27.8MiB live, 178.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
cost-diff0
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff128
(neg.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
cost-diff1728
(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)))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024187
040181
178181
2161179
3449179
41151179
52865174
65717174
77048174
87501174
97723174
107840174
117861174
08445172
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(sqrt.f64 x)
x
y
#s(literal 1 binary64)
(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 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(fma.f64 (sqrt.f64 x) y x)
(sqrt.f64 x)
y
(neg.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(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)
Outputs
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
y
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) (fma.f64 (fma.f64 y y (neg.f64 x)) x (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(fma.f64 y (sqrt.f64 x) x)
(sqrt.f64 x)
y
(*.f64 (*.f64 (/.f64 y (-.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64))) y) x)
(*.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))) x) y)
(*.f64 (*.f64 y x) y)
(*.f64 y x)
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(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)

localize132.0ms (2%)

Memory
-23.3MiB live, 112.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(sqrt.f64 x)
accuracy0.109375
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
accuracy0.1484375
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
accuracy0.8215860420923196
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
accuracy0.13671875
(fma.f64 (sqrt.f64 x) y x)
accuracy0.140625
(*.f64 (*.f64 y x) y)
accuracy5.056873617945307
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy14.83995876451725
(/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy0
(sqrt.f64 x)
accuracy0.1328125
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
accuracy20.738432039484263
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy25.230086188238136
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(sqrt.f64 x)
accuracy0.109375
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Samples
115.0ms256×0valid
Compiler

Compiled 379 to 49 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-add: 41.0ms (42.3% of total)
ival-sqrt: 29.0ms (29.9% of total)
ival-mult: 14.0ms (14.4% of total)
ival-div: 5.0ms (5.2% of total)
ival-pow: 4.0ms (4.1% of total)
ival-sub: 3.0ms (3.1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.6%)

Memory
-3.6MiB live, 79.3MiB allocated
Counts
14 → 312
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (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))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #<representation binary64>) () ())
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Outputs
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (*.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 x) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 x) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 x) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 x) y x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))) (* (* y x) y) (+ (* (sqrt x) y) x))
6.0ms
y
@inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))) (* (* y x) y) (+ (* (sqrt x) y) x))
6.0ms
x
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))) (* (* y x) y) (+ (* (sqrt x) y) x))
4.0ms
y
@0
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))) (* (* y x) y) (+ (* (sqrt x) y) x))
4.0ms
y
@-inf
((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (- 1 x) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))))) (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x))) (* (* y x) y) (+ (* (sqrt x) y) x))

simplify244.0ms (3.6%)

Memory
20.4MiB live, 173.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07396502
123545862
277615853
082115572
Stop Event
1×iter limit
1×node limit
Counts
312 → 311
Calls
Call 1
Inputs
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* y (- (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ x (- 1 x))))) (* -1 (sqrt x))))) x)
(- (+ 1 (* y (- (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ x (- 1 x))))) (* -1 (sqrt x))))) x)
(* -1 (/ (* x (pow y 2)) (- 1 x)))
(* (pow y 2) (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 2)))) (/ x (- 1 x))))
(* (pow y 2) (- (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))) (* -1 (/ (* (pow x 2) y) (pow (- 1 x) 3))))) (/ x (- 1 x))))
(* (pow y 2) (- (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))) (* y (+ (* -1 (* (sqrt (pow x 5)) (/ y (pow (- 1 x) 4)))) (* -1 (/ (pow x 2) (pow (- 1 x) 3))))))) (/ x (- 1 x))))
1
(+ 1 (* (sqrt x) (/ y (- 1 x))))
(+ 1 (* y (- (/ (* x y) (pow (- 1 x) 2)) (* -1 (* (sqrt x) (/ 1 (- 1 x)))))))
(+ 1 (* y (- (* y (- (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 3))) (* -1 (/ x (pow (- 1 x) 2))))) (* -1 (* (sqrt x) (/ 1 (- 1 x)))))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(/ 1 (- 1 x))
(+ (* -1 (* (sqrt x) (/ y (pow (- 1 x) 2)))) (/ 1 (- 1 x)))
(+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(+ (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4)))) (* -1 (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(/ (* x (pow y 2)) (- 1 x))
(* (pow y 2) (+ (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 2))) (/ x (- 1 x))))
(* (pow y 2) (+ (* y (- (/ (* (pow x 2) y) (pow (- 1 x) 3)) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))))) (/ x (- 1 x))))
(* (pow y 2) (+ (* y (- (* y (- (* (sqrt (pow x 5)) (/ y (pow (- 1 x) 4))) (* -1 (/ (pow x 2) (pow (- 1 x) 3))))) (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))))) (/ x (- 1 x))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
x
(+ x (* (sqrt x) y))
(+ x (* (sqrt x) y))
(+ x (* (sqrt x) y))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* (sqrt x) y)
(* y (- (/ 1 y) (+ (* -1 (sqrt x)) (/ x y))))
(* y (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y))) (+ (* -1 (sqrt x)) (/ x y))))
(* y (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3)))) (/ 1 y)))) (+ (* -1 (sqrt x)) (+ (/ x y) (/ (pow (- 1 x) 3) (* x (pow y 3)))))))
(* (sqrt x) y)
(* y (- (/ 1 y) (+ (* -1 (sqrt x)) (/ x y))))
(* y (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (/ 1 y)) (+ (* -1 (sqrt x)) (/ x y))))
(* y (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3)))) (/ 1 y))) (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (* (sqrt (/ 1 x)) (/ (- 1 x) y)))
(/ (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 2) (* x y)))) y)
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))))) (/ (pow (- 1 x) 2) (* x y))) y)
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 4) (* (pow x 2) (pow y 3))))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))) (/ (pow (- 1 x) 2) (* x y)))) y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (- (+ (sqrt (/ 1 x)) (/ 1 y)) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 y))) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 1 (* x y)))) y)
(* -1 (* (sqrt x) y))
(* y (- (+ (* -1 (sqrt x)) (/ x y)) (/ 1 y)))
(* y (- (+ (* -1 (sqrt x)) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2))) (/ x y))) (/ 1 y)))
(* y (- (+ (* -1 (sqrt x)) (+ (/ x y) (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (/ 1 y))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ x y)))
(* y (+ (sqrt x) (/ x y)))
(* y (+ (sqrt x) (/ x y)))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (/ (- 1 x) y)) (sqrt x))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) y))) x) y)) (sqrt x))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) x)) (/ (pow (- 1 x) 3) x)) y)) (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y))) x) y)) (sqrt x))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (/ (- 1 x) y)) (sqrt x))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y)))) x) y)) (sqrt x))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (/ (* (pow (- 1 x) 2) (- x 1)) (* x y))) y))) x) y)) (sqrt x))))
(* -1 (* (sqrt (/ 1 x)) (/ (- 1 x) y)))
(* -1 (/ (+ (* (sqrt (/ 1 x)) (- 1 x)) (/ (pow (- 1 x) 2) (* x y))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) y))) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (- 1 x) 4) (* (pow x 2) y)) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 3)))) y)) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt (/ 1 x)) (/ 1 y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- 1 (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y)))) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x)))))) y))) (/ 1 x)) y))) y))
(* -1 (* (sqrt x) y))
(* -1 (* y (+ (sqrt x) (* -1 (/ (- x 1) y)))))
(* -1 (* y (+ (sqrt x) (* -1 (/ (- (+ x (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y))) 1) y)))))
(* -1 (* y (+ (sqrt x) (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x y))) (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1)))) y))) 1) y)))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(/ 1 (- 1 (* (sqrt x) y)))
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(+ (* x (- (+ (* x (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (- 1 (* (sqrt x) y)))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* x (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (+ (* x (- (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3))) (* -1 (/ (- (/ 1 (- 1 (* (sqrt x) y))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))
(* x (- (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))
(* x (- (* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))
(* x (- (* x (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (* x (+ (* -1 (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3))))))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))
(/ 1 (- 1 (* (sqrt x) y)))
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(+ (* x (- (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (pow (- 1 (* (sqrt x) y)) 2)) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y)))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
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(/ 1 (+ 1 (* (sqrt x) y)))
(+ (/ 1 (+ 1 (* (sqrt x) y))) (/ x (pow (+ 1 (* (sqrt x) y)) 2)))
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(+ (* x (+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 3)) (/ x (pow (+ 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)))) (/ 1 (+ 1 (* (sqrt x) y))))
(/ (* x (pow y 2)) (- 1 (* (sqrt x) y)))
(* x (+ (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 2)) (/ (pow y 2) (- 1 (* (sqrt x) y)))))
(* x (+ (* x (- (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 3)) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))
(* x (+ (* x (- (* x (- (/ (* x (pow y 2)) (pow (- 1 (* (sqrt x) y)) 4)) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3))))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* (sqrt x) y)
(+ x (* (sqrt x) y))
(+ x (* (sqrt x) y))
(+ x (* (sqrt x) y))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(sqrt x)
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(* -1 x)
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(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
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(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))
(* x (- (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (* -1 (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))))
(* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))))))
(* x (- (+ (/ 2 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (- (* 2 (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ (* -1 (/ (pow y 2) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))))))))))
(/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))
(- (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))))
(- (+ (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))) (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))))
(- (+ (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ (pow y 2) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))))) (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))))
(/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))
(- (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))))
(- (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))))
(- (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (* -1 (/ (- (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))))))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(/ 1 (* x (- (* (sqrt (/ 1 x)) y) 1)))
(/ (- (/ 1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) y) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) y) 1))) (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) y) 1) 2))) (/ 1 (* (pow x 3) (pow (- (* (sqrt (/ 1 x)) y) 1) 4))))) x)
(* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))
(+ (* -1 (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))))
(- (+ (* -1 (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))) (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))
(- (+ (* -1 (/ (pow y 2) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4)))) (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (+ 1 (* (sqrt (/ 1 x)) y)))
(* x (+ 1 (* (sqrt (/ 1 x)) y)))
(* x (+ 1 (* (sqrt (/ 1 x)) y)))
(* x (+ 1 (* (sqrt (/ 1 x)) y)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 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 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
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(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
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(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (/ x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
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(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))))) x)) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (+ (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
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(- (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
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(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x))
(* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4)))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
Outputs
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 y y))
(*.f64 (fma.f64 (neg.f64 y) (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 x x) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) (*.f64 y y))
(*.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 x (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) y (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) (*.f64 y y))
#s(literal 1 binary64)
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) x) (/.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)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) y (/.f64 (neg.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)))
(*.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) x))) x)
(*.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 y y))
(*.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 x x) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 y y))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 x (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) y (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 y y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
x
(fma.f64 (sqrt.f64 x) y x)
(fma.f64 (sqrt.f64 x) y x)
(fma.f64 (sqrt.f64 x) y x)
(*.f64 (sqrt.f64 x) y)
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(*.f64 (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) y)
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) y)
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y) (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) y)) (-.f64 (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) y))) y)
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(*.f64 (*.f64 y y) x)
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(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y y) x)
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))

rewrite290.0ms (4.3%)

Memory
-28.0MiB live, 364.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024140
040112
1183112
21501112
08282112
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 1 171
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(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)))))
(neg.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(*.f64 (*.f64 y x) y)
(fma.f64 (sqrt.f64 x) y x)
Outputs
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eval424.0ms (6.3%)

Memory
18.2MiB live, 566.0MiB allocated
Compiler

Compiled 74 717 to 3 856 computations (94.8% saved)

prune49.0ms (0.7%)

Memory
-3.2MiB live, 114.1MiB allocated
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New2 091102 101
Fresh606
Picked325
Done000
Total2 100122 112
Accuracy
100.0%
Counts
2 112 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.6%
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))))
71.3%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
41.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
▶67.4%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
49.8%
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
65.7%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
▶41.2%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y))
✓67.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓60.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
32.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶28.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶62.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))))
Compiler

Compiled 432 to 295 computations (31.7% saved)

simplify488.0ms (7.3%)

Memory
28.4MiB live, 104.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
cost-diff0
#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #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)) (*.f64 y x) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y))
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))))
cost-diff256
(*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045306
070301
1124297
2239295
3587292
41243292
52970292
64851292
75894292
86302292
96497292
106543292
116578292
126686292
136696292
146710292
156717292
166719292
176719292
187227292
197483292
207483292
217483292
227483292
07483289
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(fma.f64 (sqrt.f64 x) y x)
(sqrt.f64 x)
y
#s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
(*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(neg.f64 x)
(*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 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(literal 1 binary64)
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y x)
y
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (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)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(sqrt.f64 x)
x
y
Outputs
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64))) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (/.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 y y))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))
(fma.f64 y (sqrt.f64 x) x)
(sqrt.f64 x)
y
#s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (/.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 y y)))
(*.f64 (/.f64 x (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 y y))
(neg.f64 x)
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))) y)
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y x)
y
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
y

localize166.0ms (2.5%)

Memory
23.0MiB live, 212.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
accuracy0.1484375
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
accuracy0.8411172920923196
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
accuracy20.47394616721087
#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
accuracy0
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))
accuracy0.109375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy4.035240544473017
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))
accuracy20.738432039484263
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))))
accuracy0
(sqrt.f64 x)
accuracy0.23828125
(*.f64 (sqrt.f64 x) y)
accuracy37.51077971700904
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y))
accuracy25.230086188238136
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy35.23159257209975
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy5.056873617945307
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy5.145297672070171
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
accuracy8.477714606336711
(*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
accuracy15.508109671252653
#s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
Samples
100.0ms256×0valid
Compiler

Compiled 546 to 80 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-div: 40.0ms (52.3% of total)
ival-mult: 12.0ms (15.7% of total)
ival-add: 7.0ms (9.1% of total)
ival-neg: 5.0ms (6.5% of total)
ival-sub: 4.0ms (5.2% of total)
ival-sqrt: 4.0ms (5.2% of total)
ival-pow: 4.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series96.0ms (1.4%)

Memory
-16.7MiB live, 64.2MiB allocated
Counts
19 → 408
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify203.0ms (3%)

Memory
-10.1MiB live, 228.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08787176
127946431
085696153
Stop Event
1×iter limit
1×node limit
Counts
408 → 407
Calls
Call 1
Inputs
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (* (sqrt (pow x 3)) y))))
(* (pow y 2) (+ (* -1 x) (* y (+ (* -1 (sqrt (pow x 3))) (* -1 (* (pow x 2) y))))))
(* (pow y 2) (+ (* -1 x) (* y (+ (* -1 (sqrt (pow x 3))) (* y (+ (* -1 (* (sqrt (pow x 5)) y)) (* -1 (pow x 2))))))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* y (- (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ x (- 1 x))))) (* -1 (sqrt x))))) x)
(- (+ 1 (* y (- (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ x (- 1 x))))) (* -1 (sqrt x))))) x)
1
(+ 1 (* (sqrt x) (/ y (- 1 x))))
(+ 1 (* y (- (/ (* x y) (pow (- 1 x) 2)) (* -1 (* (sqrt x) (/ 1 (- 1 x)))))))
(+ 1 (* y (- (* y (- (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 3))) (* -1 (/ x (pow (- 1 x) 2))))) (* -1 (* (sqrt x) (/ 1 (- 1 x)))))))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(/ 1 (- 1 x))
(+ (* -1 (* (sqrt x) (/ y (pow (- 1 x) 2)))) (/ 1 (- 1 x)))
(+ (* y (- (/ (* x y) (pow (- 1 x) 3)) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
(+ (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 4)))) (* -1 (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (/ 1 (- 1 x)))
1
(+ 1 (* -1 (* (sqrt x) y)))
(+ 1 (* y (- (* x y) (sqrt x))))
(+ 1 (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) y)) (* -1 x))) (sqrt x))))
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(* -1 (/ (* x (pow y 2)) (- 1 x)))
(* (pow y 2) (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (- 1 x) 2)))) (/ x (- 1 x))))
(* (pow y 2) (- (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))) (* -1 (/ (* (pow x 2) y) (pow (- 1 x) 3))))) (/ x (- 1 x))))
(* (pow y 2) (- (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))) (* y (+ (* -1 (* (sqrt (pow x 5)) (/ y (pow (- 1 x) 4)))) (* -1 (/ (pow x 2) (pow (- 1 x) 3))))))) (/ x (- 1 x))))
y
(* y (+ 1 (* (sqrt x) y)))
(* y (+ 1 (* y (- (* x y) (* -1 (sqrt x))))))
(* y (+ 1 (* y (- (* y (- (* (sqrt (pow x 3)) y) (* -1 x))) (* -1 (sqrt x))))))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (+ (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) (/ 1 y))))
(* y (+ (sqrt x) (+ (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (* x (pow y 3)))))))
(* (sqrt x) y)
(* y (- (/ 1 y) (+ (* -1 (sqrt x)) (/ x y))))
(* y (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (/ 1 y))) (+ (* -1 (sqrt x)) (/ x y))))
(* y (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3)))) (/ 1 y)))) (+ (* -1 (sqrt x)) (+ (/ x y) (/ (pow (- 1 x) 3) (* x (pow y 3)))))))
(* -1 (* (sqrt (/ 1 x)) (/ (- 1 x) y)))
(/ (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 2) (* x y)))) y)
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))))) (/ (pow (- 1 x) 2) (* x y))) y)
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 4) (* (pow x 2) (pow y 3))))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))) (/ (pow (- 1 x) 2) (* x y)))) y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (- (+ (sqrt (/ 1 x)) (/ 1 y)) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2)))) (/ 1 y))) (/ 1 (* x y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (/ 1 y) (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x (pow y 3))))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) (pow y 2))) (/ 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 (/ (+ (* -1 (sqrt (/ 1 (pow x 3)))) (/ 1 (* (pow x 2) y))) (pow y 2)))) (/ 1 (* x y))) y)
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* (sqrt x) y)
(* y (- (/ 1 y) (+ (* -1 (sqrt x)) (/ x y))))
(* y (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (/ 1 y)) (+ (* -1 (sqrt x)) (/ x y))))
(* y (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) (pow y 2)))) (+ (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) (* x (pow y 3)))) (/ 1 y))) (+ (* -1 (sqrt x)) (/ x y))))
(* -1 (sqrt (/ 1 x)))
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(- (+ (* -1 (sqrt (/ 1 x))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 2))))) (/ 1 (* x y)))
(- (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (sqrt (/ 1 (pow x 3))) (/ 1 (* (pow x 2) y))) (pow y 2)))) (/ 1 (* x y)))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (/ 1 y))) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y))) y))) y)))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (/ (- 1 x) y)) (sqrt x))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) y))) x) y)) (sqrt x))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- x 1)) x)) (/ (pow (- 1 x) 3) x)) y)) (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y))) x) y)) (sqrt x))))
(* -1 (* (sqrt (/ 1 x)) (/ (- 1 x) y)))
(* -1 (/ (+ (* (sqrt (/ 1 x)) (- 1 x)) (/ (pow (- 1 x) 2) (* x y))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) y))) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (- 1 x) 4) (* (pow x 2) y)) (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 3)))) y)) (/ (pow (- 1 x) 2) x)) y)) (* (sqrt (/ 1 x)) (- 1 x))) y))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
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(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt (/ 1 x)) (/ 1 y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- 1 (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- 1 (/ 1 x))) y)))) (/ 1 x)) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow (- 1 x) 2) (- 1 (/ 1 x))) (* x y))) (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- 1 (/ 1 x)))))) y))) (/ 1 x)) y))) y))
(* (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 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (sqrt (/ 1 (pow x 3)))) y)) (/ 1 x)) y))) y))
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(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
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(* -1 (* y (- (* -1 (/ (- 1 x) y)) (sqrt x))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- x 1)) y)))) x) y)) (sqrt x))))
(* -1 (* y (- (* -1 (/ (- (+ 1 (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (- 1 x) (- x 1))) (/ (* (pow (- 1 x) 2) (- x 1)) (* x y))) y))) x) y)) (sqrt x))))
(* -1 (sqrt (/ 1 x)))
(- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y)))
(+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (/ 1 x)) y)))
(+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* (sqrt (/ 1 (pow x 3))) (/ 1 y)) (+ (/ 1 x) (/ 1 (* (pow x 2) (pow y 2))))) y)))
(* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))
(* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))
(* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))
(* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))
(/ 1 (- 1 (* (sqrt x) y)))
(+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* x (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (- 1 (* (sqrt x) y)))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* x (- (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))) (+ (* x (- (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 3))) (* -1 (/ (- (/ 1 (- 1 (* (sqrt x) y))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (* 2 (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ (pow y 2) (- 1 (* (sqrt x) y)))))) (/ 1 (- 1 (* (sqrt x) y))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(/ 1 (- 1 (* (sqrt x) y)))
(+ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ (* x (- (+ (* x (- (/ (* x (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y))))) (pow (- 1 (* (sqrt x) y)) 2)) (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt x) y)) 2)) (/ 1 (- 1 (* (sqrt x) y)))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(+ 1 (* (sqrt x) y))
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(+ 1 (+ (* -1 x) (* (sqrt x) y)))
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(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(/ 1 (+ 1 (* (sqrt x) y)))
(+ (/ 1 (+ 1 (* (sqrt x) y))) (/ x (pow (+ 1 (* (sqrt x) y)) 2)))
(+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)) (/ x (pow (+ 1 (* (sqrt x) y)) 3)))) (/ 1 (+ 1 (* (sqrt x) y))))
(+ (* x (+ (* x (+ (/ 1 (pow (+ 1 (* (sqrt x) y)) 3)) (/ x (pow (+ 1 (* (sqrt x) y)) 4)))) (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)))) (/ 1 (+ 1 (* (sqrt x) y))))
(/ 1 (+ 1 (* (sqrt x) y)))
(/ 1 (+ 1 (* (sqrt x) y)))
(/ 1 (+ 1 (* (sqrt x) y)))
(/ 1 (+ 1 (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(* -1 (/ (* x (pow y 2)) (- 1 (* (sqrt x) y))))
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Outputs
(*.f64 (*.f64 (neg.f64 x) y) y)
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y x)) (*.f64 y y))
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(/.f64 (-.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x) #s(literal -1 binary64) (/.f64 x (*.f64 (neg.f64 y) y))) x)) (neg.f64 x))
(*.f64 (sqrt.f64 x) y)
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 y x) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (/.f64 y x) (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) x) #s(literal -1 binary64) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64))) (/.f64 y x) (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (sqrt.f64 x) (/.f64 (neg.f64 x) y)) (neg.f64 x)) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 y) y))) x) #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 x)) #s(literal -1 binary64) (sqrt.f64 x)) x)

rewrite198.0ms (2.9%)

Memory
26.3MiB live, 371.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045250
070247
1274239
21923227
08520227
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 456
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
#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 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (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)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
#s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
Outputs
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eval276.0ms (4.1%)

Memory
-21.4MiB live, 387.6MiB allocated
Compiler

Compiled 43 257 to 3 091 computations (92.9% saved)

prune30.0ms (0.4%)

Memory
26.5MiB live, 100.8MiB allocated
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New1 02131 024
Fresh145
Picked235
Done022
Total1 024121 036
Accuracy
100.0%
Counts
1 036 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.5%
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))))
▶71.3%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
41.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))))
49.8%
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
▶36.4%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
▶65.7%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
✓41.2%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y))
✓67.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓60.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶32.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓28.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓62.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))))
Compiler

Compiled 394 to 258 computations (34.5% saved)

simplify156.0ms (2.3%)

Memory
-0.0MiB live, 86.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 (*.f64 y x) (sqrt.f64 x))
cost-diff0
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 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
(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) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))))
cost-diff256
(*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041268
061268
1114260
2227258
3546255
4986255
51902255
63307255
73850255
84004255
94048255
104076255
114076255
124228255
134361255
144361255
04361245
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64))
#s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
(*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(neg.f64 x)
(*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
y
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(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 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 y x)
y
x
(sqrt.f64 x)
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.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)
Outputs
(fma.f64 #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (/.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (*.f64 y y))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64))
#s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (/.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (*.f64 y y)))
(*.f64 (/.f64 x (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (*.f64 y y))
(neg.f64 x)
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) y)
y
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(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 (/.f64 y (sqrt.f64 x)) x))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(*.f64 y x)
y
x
(sqrt.f64 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)

localize139.0ms (2.1%)

Memory
-2.8MiB live, 153.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1015625
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy0.109375
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy3.671693700485966
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
accuracy18.255244017374014
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
accuracy0
(*.f64 y x)
accuracy0
(sqrt.f64 x)
accuracy8.8497395985254
(/.f64 (*.f64 y x) (sqrt.f64 x))
accuracy37.51077971700904
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
accuracy0
(sqrt.f64 x)
accuracy0
(neg.f64 x)
accuracy0.109375
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
accuracy29.256666013921258
#s(approx (- 1 x) (neg.f64 x))
accuracy0
(neg.f64 x)
accuracy25.230086188238136
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy29.256666013921258
#s(approx (- 1 x) (neg.f64 x))
accuracy5.145297672070171
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
accuracy8.477714606336711
(*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
accuracy15.508109671252653
#s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
accuracy25.068083634719812
#s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64))
Samples
118.0ms256×0valid
Compiler

Compiled 477 to 77 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-div: 35.0ms (47.7% of total)
ival-mult: 13.0ms (17.7% of total)
ival-sub: 8.0ms (10.9% of total)
ival-add: 5.0ms (6.8% of total)
ival-pow: 5.0ms (6.8% of total)
ival-sqrt: 4.0ms (5.5% of total)
ival-neg: 2.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.5%)

Memory
-11.1MiB live, 64.1MiB allocated
Counts
18 → 372
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify177.0ms (2.6%)

Memory
-7.6MiB live, 168.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06675947
121555299
271775292
080335067
Stop Event
1×iter limit
1×node limit
Counts
372 → 371
Calls
Call 1
Inputs
(* -1 (* x (pow y 2)))
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(* (pow y 2) (+ (* -1 x) (* y (+ (* -1 (sqrt (pow x 3))) (* -1 (* (pow x 2) y))))))
(* (pow y 2) (+ (* -1 x) (* y (+ (* -1 (sqrt (pow x 3))) (* y (+ (* -1 (* (sqrt (pow x 5)) y)) (* -1 (pow x 2))))))))
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(- (+ 1 (* y (- (* -1 (* y (+ (* -1 (/ x (- 1 x))) (/ x (- 1 x))))) (* -1 (sqrt x))))) x)
1
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(* (pow y 2) (- (* y (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (- 1 x) 2)))) (* y (+ (* -1 (* (sqrt (pow x 5)) (/ y (pow (- 1 x) 4)))) (* -1 (/ (pow x 2) (pow (- 1 x) 3))))))) (/ x (- 1 x))))
y
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(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))))) (/ (pow (- 1 x) 2) (* x y))) y)
(/ (- (+ (* -1 (* (sqrt (/ 1 x)) (- 1 x))) (* -1 (/ (pow (- 1 x) 4) (* (pow x 2) (pow y 3))))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 3) (pow y 2))) (/ (pow (- 1 x) 2) (* x y)))) y)
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1
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(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))
(- (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))))
(- (+ (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))) (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))))
(- (+ (/ (pow y 2) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ (pow y 2) (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ (pow y 2) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))))) (* -1 (/ (pow y 2) (+ 1 (* (sqrt (/ 1 x)) y)))))
(* -1 (sqrt (/ 1 x)))
(/ (- (* -1 (sqrt x)) (/ 1 y)) x)
(/ (- (+ (* -1 (sqrt x)) (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))) (/ 1 y)) x)
(/ (- (* -1 (sqrt x)) (+ (* (sqrt (/ 1 x)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (* x (pow y 3)))))) x)
(* -1 (* (sqrt x) y))
(- (* -1 (* (sqrt x) y)) (/ 1 (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* (sqrt x) (/ 1 (* y (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 2) (pow (sqrt -1) 4))) (* (sqrt (pow x 3)) (/ 1 (* y (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(* -1 (/ x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (- (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))))) x)) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (+ (* 2 (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* 2 (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (+ (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(+ (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) x)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -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 (* (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 x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(- (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(- (* -1 (/ (- (* -1 (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(- (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (* -1 (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) x)) (/ (pow y 2) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (* -1 (/ (pow y 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(sqrt (/ 1 x))
(* -1 (/ (- (* -1 (sqrt x)) (/ 1 (* y (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (- (* (sqrt x) (/ 1 (* (pow y 2) (pow (sqrt -1) 2)))) (* -1 (/ x (* y (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (/ x (* (pow y 3) (pow (sqrt -1) 4))) (* (sqrt (pow x 3)) (/ 1 (* (pow y 2) (pow (sqrt -1) 2))))) x)) (* -1 (/ x (* y (pow (sqrt -1) 2))))) x))) x))
Outputs
(*.f64 (*.f64 (neg.f64 x) y) y)
(*.f64 (*.f64 (neg.f64 y) y) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y x))
(*.f64 (fma.f64 (neg.f64 y) (fma.f64 (*.f64 y x) x (sqrt.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x)) (*.f64 y y))
(*.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) y (*.f64 x x)) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) y (neg.f64 x)) (*.f64 y y))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 #s(literal 0 binary64) y (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) x (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) y (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) y #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(neg.f64 x)
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
(fma.f64 (sqrt.f64 x) y (neg.f64 x))
#s(literal -1 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 y y) x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) (*.f64 y y))
(*.f64 (fma.f64 (neg.f64 y) (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 x x) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 y y))
(*.f64 (fma.f64 (fma.f64 (neg.f64 y) (fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (*.f64 x (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) y (/.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 y y))
y
(*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) y)
(*.f64 (fma.f64 (fma.f64 y x (sqrt.f64 x)) y #s(literal 1 binary64)) y)
(fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) y x) y (sqrt.f64 x)) (*.f64 y y) y)
(*.f64 (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) (sqrt.f64 x)) y #s(literal 1 binary64))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (+.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 x)) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y) (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) y)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x))) y)
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y) (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) y)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) (-.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) (sqrt.f64 x)))) y)
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y) x)) (neg.f64 y))
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(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))) y))) y)
(*.f64 (sqrt.f64 x) y)
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(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(*.f64 (sqrt.f64 x) y)
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(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(*.f64 (sqrt.f64 x) y)
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(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 y x)
(*.f64 y x)
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(*.f64 y x)
(*.f64 (sqrt.f64 x) y)
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)
(*.f64 (-.f64 (sqrt.f64 x) (/.f64 x y)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) y)
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) y)
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y)
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) y) (sqrt.f64 x)) y)
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(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64)))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) x))
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) (/.f64 x x))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) (/.f64 x x))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) (/.f64 x x))
(neg.f64 x)
(fma.f64 #s(literal -1 binary64) x (/.f64 x x))
(fma.f64 #s(literal -1 binary64) x (/.f64 x x))
(fma.f64 #s(literal -1 binary64) x (/.f64 x x))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) (/.f64 x x))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) (/.f64 x x))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) (/.f64 x x))
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(sqrt.f64 x)
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) (/.f64 x x))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) (/.f64 x x))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) (/.f64 x x))
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) (/.f64 x x))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) (/.f64 x x))
(fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (neg.f64 x) (/.f64 x x))
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 y y) (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 y x) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(fma.f64 y (/.f64 y (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 y x) (/.f64 (*.f64 y y) (pow.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 x)))
(fma.f64 y (/.f64 y (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 y x) (/.f64 (*.f64 y y) (pow.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (*.f64 y y) (pow.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 x) (*.f64 (neg.f64 y) y)) (/.f64 x y)) (neg.f64 x)) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 y) y))) (neg.f64 x)) (/.f64 x y)) (neg.f64 x)) (sqrt.f64 x)) (neg.f64 x))

rewrite243.0ms (3.6%)

Memory
-2.5MiB live, 229.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041219
061215
1262207
21862207
08927200
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 338
Calls
Call 1
Inputs
(*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))))
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) 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)
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 y x)
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.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))
#s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))))
(/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
Outputs
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eval171.0ms (2.5%)

Memory
-8.2MiB live, 273.4MiB allocated
Compiler

Compiled 32 598 to 2 269 computations (93% saved)

prune32.0ms (0.5%)

Memory
9.6MiB live, 83.8MiB allocated
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New8153818
Fresh112
Picked235
Done055
Total81812830
Accuracy
100.0%
Counts
830 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓71.3%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
41.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))))
65.7%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
✓36.4%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
35.9%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) y) x)))
✓41.2%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y))
35.6%
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 x (/.f64 y (sqrt.f64 x))))
✓67.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓60.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓32.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓28.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓62.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))))
Compiler

Compiled 740 to 259 computations (65% saved)

regimes29.0ms (0.4%)

Memory
33.1MiB live, 69.2MiB allocated
Counts
28 → 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))) (*.f64 (sqrt.f64 x) y))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 x (/.f64 y (sqrt.f64 x))))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) y) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (/ (- 1 x) (- 1 (+ (* (sqrt x) y) x))) #s(literal 1 binary64)) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))))
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(approx (neg (/ (* (* y x) y) (- 1 (+ (* (sqrt x) y) x)))) (*.f64 (neg.f64 x) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (*.f64 (*.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) 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)) (pow.f64 (-.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:

10.0ms
y
9.0ms
x
8.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes16.0ms (0.2%)

Memory
-14.8MiB live, 29.7MiB 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))) (*.f64 (sqrt.f64 x) y))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
Calls

3 calls:

9.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
98.0%2x
97.9%3y
97.7%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes37.0ms (0.6%)

Memory
-15.1MiB live, 22.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
Calls

3 calls:

31.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
97.1%3y
85.5%3(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
81.2%2x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (sqrt.f64 x) y))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
94.1%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
60.6%1x
60.6%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
60.6%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes27.0ms (0.4%)

Memory
-24.0MiB live, 13.9MiB 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:

23.0ms
x
2.0ms
y
2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
40.7%5y
58.8%2x
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
13.3MiB live, 13.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
28.4%1y
28.4%1x
28.4%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch44.0ms (0.7%)

Memory
-12.0MiB live, 24.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
43.0ms
0.39823138747082387
25.340782727310962
Samples
5.0ms112×0valid
Compiler

Compiled 179 to 159 computations (11.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (34% of total)
ival-add: 1.0ms (34% of total)
ival-mult: 1.0ms (34% of total)
ival-sqrt: 1.0ms (34% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch59.0ms (0.9%)

Memory
19.9MiB live, 60.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
47.0ms
200986.97471030755
2029886986870301.5
10.0ms
-1.7023807356591288e+55
-5.175163917562706e+53
Samples
46.0ms272×0valid
Compiler

Compiled 453 to 403 computations (11% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-add: 34.0ms (85.9% of total)
ival-sub: 2.0ms (5.1% of total)
ival-mult: 2.0ms (5.1% of total)
ival-sqrt: 2.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.5%)

Memory
-10.7MiB live, 99.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.0185139022607517e+27
1.1674858242524024e+30
17.0ms
-7.740222099889536e+83
-7.091099787231102e+65
Samples
17.0ms288×0valid
Compiler

Compiled 461 to 408 computations (11.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (25.4% of total)
ival-mult: 2.0ms (25.4% of total)
ival-sqrt: 2.0ms (25.4% of total)
ival-add: 1.0ms (12.7% 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
2.0MiB live, 2.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-24.340782727310962
0.6017686125291761
Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify32.0ms (0.5%)

Memory
-4.8MiB live, 82.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040195
149195
252195
353195
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -3700000000000000187593989420724563177517450880048168960 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 2000000000000000 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 -165000000000000008970125725018645188867204992485671359502250952662915743744 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 1149999999999999980646072057856 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -20 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -3700000000000000187593989420724563177517450880048168960 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 2000000000000000 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 -165000000000000008970125725018645188867204992485671359502250952662915743744 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 1149999999999999980646072057856 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (*.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) #s(literal -20 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

soundness711.0ms (10.6%)

Memory
32.4MiB live, 528.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052369
1141369
2438357
31298357
44644357
57351357
08077330
07396502
123545862
277615853
082115572
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 283 to 119 computations (58% saved)

preprocess61.0ms (0.9%)

Memory
-4.8MiB live, 151.3MiB allocated
Compiler

Compiled 406 to 94 computations (76.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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