Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, D

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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
100%50%0%0.1%0%50%0%2
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample992.0ms (16.3%)

Memory
13.9MiB live, 1 277.9MiB allocated
Samples
646.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 454.0ms
ival-mult: 165.0ms (36.3% of total)
ival-div: 120.0ms (26.4% of total)
ival-sub: 83.0ms (18.3% of total)
ival-sqrt: 68.0ms (15% of total)
exact: 10.0ms (2.2% of total)
ival-true: 6.0ms (1.3% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain189.0ms (3.1%)

Memory
-7.0MiB live, 146.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
00-0-(sqrt.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-#s(literal 9 binary64)
00-0-(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
00-0-(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
00-0-y
00-0-(*.f64 x #s(literal 9 binary64))
00-0-(/.f64 y (*.f64 #s(literal 3 binary64) (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
74.0ms512×0valid
Compiler

Compiled 110 to 40 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 6.0ms (27.3% of total)
ival-mult: 6.0ms (27.3% of total)
ival-sub: 4.0ms (18.2% of total)
ival-sqrt: 4.0ms (18.2% of total)
exact: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess15.0ms (0.2%)

Memory
7.2MiB live, 7.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03078
15968
28564
311164
411364
01214
01914
12912
23512
33712
03712
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
Compiler

Compiled 14 to 12 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff0
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff2
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01246
01946
12940
23540
33740
03740
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
x
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)

localize45.0ms (0.7%)

Memory
-8.0MiB live, 37.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy0.2109375
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.23828125
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy0.296875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
38.0ms256×0valid
Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 20.0ms (70.8% of total)
ival-div: 3.0ms (10.6% of total)
ival-sub: 2.0ms (7.1% of total)
ival-sqrt: 2.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
6 → 17
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
Outputs
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(* 9 x)
(* 3 (sqrt x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
2.0ms
x
@0
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
1.0ms
x
@inf
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
1.0ms
y
@0
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
1.0ms
y
@inf
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (* x 9) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))

simplify113.0ms (1.9%)

Memory
9.1MiB live, 69.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055133
1122133
2297132
3771132
42139132
55212132
67638132
08414125
Stop Event
1×iter limit
1×node limit
Counts
17 → 17
Calls
Call 1
Inputs
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(* 9 x)
(* 3 (sqrt x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))

rewrite258.0ms (4.2%)

Memory
-31.8MiB live, 200.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01239
01939
16433
256033
0822433
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 136
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
Outputs
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/9 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/9 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) #s(literal -9 binary64))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) #s(literal 9 binary64))
(/.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -9 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) (fabs.f64 x))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal -9 binary64) x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 9 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1/9 binary64) x)))
(fabs.f64 (/.f64 #s(literal 1/9 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))
(+.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) (sinh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x) (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (fabs.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 #s(literal 9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (neg.f64 (/.f64 y #s(literal 3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))

eval19.0ms (0.3%)

Memory
31.2MiB live, 31.2MiB allocated
Compiler

Compiled 5 002 to 610 computations (87.8% saved)

prune37.0ms (0.6%)

Memory
-27.9MiB live, 19.6MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New13612148
Fresh000
Picked011
Done000
Total13613149
Accuracy
100.0%
Counts
149 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.4%
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)))
▶99.8%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.5%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
▶99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
✓99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶68.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶68.5%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶60.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
91.8%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
38.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 460 to 366 computations (20.4% saved)

simplify20.0ms (0.3%)

Memory
19.4MiB live, 19.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff0
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
cost-diff2
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff0
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
cost-diff0
(/.f64 #s(literal -1/9 binary64) x)
cost-diff0
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
cost-diff0
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
cost-diff0
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
cost-diff0
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff0
(pow.f64 x #s(literal -1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)))
cost-diff0
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff2
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037231
058231
177209
2107209
3173209
4286209
5464209
6587209
7633209
8652209
9683209
10719209
11722209
0722209
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)))
#s(literal 1 binary64)
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
#s(literal -1/3 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal -1/9 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(sqrt.f64 x)
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64))
#s(literal -1/3 binary64)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal -1/9 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1/9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
x
#s(literal 9 binary64)
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(sqrt.f64 x)

localize130.0ms (2.1%)

Memory
-15.3MiB live, 130.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy0.01953125
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
accuracy0.23828125
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy0.30859375
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
accuracy0.2109375
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.296875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.36328125
(/.f64 #s(literal -1/9 binary64) x)
accuracy34.71778332511711
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
accuracy0.171875
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
accuracy0.22265625
(*.f64 (sqrt.f64 x) y)
accuracy5.259238142950427
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
accuracy20.26318888992705
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
accuracy0.01953125
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy0.2109375
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.296875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy29.7143257078828
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy0.01953125
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
accuracy0.2109375
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.265625
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
accuracy0.296875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
54.0ms256×0valid
Compiler

Compiled 213 to 29 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 10.0ms (29.1% of total)
ival-mult: 6.0ms (17.5% of total)
const: 6.0ms (17.5% of total)
ival-sub: 5.0ms (14.6% of total)
ival-pow: 3.0ms (8.7% of total)
ival-sqrt: 2.0ms (5.8% of total)
ival-add: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
25.0MiB live, 25.0MiB allocated
Counts
20 → 34
Calls
Call 1
Inputs
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)))
(pow.f64 x #s(literal -1 binary64))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
(*.f64 (sqrt.f64 x) y)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 binary64))
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
Outputs
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ 1 x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* (sqrt x) y)
(* 9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt x) y))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
-1/9
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@0
((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (* x 9) (/ (/ y 3) (sqrt x)))
3.0ms
x
@-inf
((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (* x 9) (/ (/ y 3) (sqrt x)))
2.0ms
x
@inf
((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (* x 9) (/ (/ y 3) (sqrt x)))
2.0ms
y
@-inf
((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (* x 9) (/ (/ y 3) (sqrt x)))
2.0ms
y
@inf
((/ (pow x -1) 9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (- 1 (/ (pow x -1) 9)) (pow x -1) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))) (* 3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (* (sqrt x) y) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1/9 x) (/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (* x 9) (/ (/ y 3) (sqrt x)))

simplify163.0ms (2.7%)

Memory
-21.7MiB live, 119.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086276
1223274
2769270
32436270
45722270
08170253
Stop Event
1×iter limit
1×node limit
Counts
34 → 34
Calls
Call 1
Inputs
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ 1 x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* (sqrt x) y)
(* 9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt x) y))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
-1/9
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt x) y))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
-1/9
#s(literal -1/9 binary64)
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64))

rewrite260.0ms (4.3%)

Memory
9.9MiB live, 204.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037175
058175
1208153
21211153
08975153
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 473
Calls
Call 1
Inputs
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64)))
(pow.f64 x #s(literal -1 binary64))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
(*.f64 (sqrt.f64 x) y)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 binary64))
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
Outputs
(*.f64 (*.f64 #s(literal 1/9 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)))
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (fabs.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 9 binary64)))
(*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 9 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64))
(/.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 9 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal 1/9 binary64) (fabs.f64 x))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal 9 binary64) x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 #s(literal -9 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal 1/9 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/9 binary64) (cosh.f64 (neg.f64 (log.f64 x))) (*.f64 #s(literal 1/9 binary64) (sinh.f64 (neg.f64 (log.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(literal 1/9 binary64) x))
(fabs.f64 (/.f64 #s(literal -1/9 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x)))
(+.f64 (*.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal 1/9 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 1/9 binary64)))
(+.f64 (*.f64 #s(literal 1/9 binary64) (cosh.f64 (neg.f64 (log.f64 x)))) (*.f64 #s(literal 1/9 binary64) (sinh.f64 (neg.f64 (log.f64 x)))))
(+.f64 (/.f64 (cosh.f64 (neg.f64 (log.f64 x))) #s(literal 9 binary64)) (/.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 9 binary64)))
(+.f64 (cosh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))) (sinh.f64 (log.f64 (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)))) (*.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 2 binary64)) x) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 2 binary64)) x)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (-.f64 (+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (/.f64 y #s(literal -3 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (neg.f64 (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal -3 binary64)) (sqrt.f64 x) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (neg.f64 y)))) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -3 binary64)) (sqrt.f64 x))))
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(-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal -3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (fabs.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (fabs.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fabs.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -3 binary64))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(*.f64 #s(literal -9 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -9 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) x))
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -9 binary64) x))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (/.f64 y #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))

eval60.0ms (1%)

Memory
-14.7MiB live, 122.4MiB allocated
Compiler

Compiled 15 109 to 1 506 computations (90% saved)

prune21.0ms (0.3%)

Memory
9.0MiB live, 62.2MiB allocated
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New39615411
Fresh617
Picked235
Done011
Total40420424
Accuracy
100.0%
Counts
424 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
✓99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶68.1%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
68.1%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓68.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
68.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
68.4%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
68.4%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
✓68.5%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶91.8%
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
60.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)))
▶60.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
60.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 x) (*.f64 y (/.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)))
60.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
✓60.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
46.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)))
30.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
▶31.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
38.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 806 to 656 computations (18.6% saved)

simplify38.0ms (0.6%)

Memory
-0.5MiB live, 45.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))
cost-diff0
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
cost-diff2
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
cost-diff2
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x))
cost-diff0
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)
cost-diff0
(+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x))
cost-diff0
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)
cost-diff0
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
cost-diff0
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
cost-diff0
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
cost-diff0
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
cost-diff0
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047265
070263
1106247
2166247
3322247
4539247
5748247
6865247
7964247
81070247
91101247
101107247
111111247
121114247
131120247
141126247
151129247
01129242
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(literal 1 binary64)
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
x
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)
(+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x))
#s(literal -1/9 binary64)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
(/.f64 y x)
y
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(literal 1 binary64)
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(literal 3 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
x
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x) #s(literal -1/9 binary64)) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)
(/.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x) #s(literal -1/9 binary64)) x)
(+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x))
(+.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
(/.f64 y x)
y
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)

localize104.0ms (1.7%)

Memory
-1.6MiB live, 188.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.2109375
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.265625
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))
accuracy0.296875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy34.71778332511711
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))
accuracy0.34765625
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy0.36328125
(/.f64 #s(literal -1/9 binary64) x)
accuracy5.424504408056502
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x))
accuracy20.26318888992705
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
accuracy0.0
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
accuracy0.12109375
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)
accuracy0.34765625
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy5.169394392950427
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)
accuracy5.259238142950427
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
accuracy20.26318888992705
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
accuracy31.206605864740123
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
accuracy0.01953125
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
accuracy0.2109375
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy0.296875
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy0.36328125
(/.f64 #s(literal 1/9 binary64) x)
Samples
79.0ms256×0valid
Compiler

Compiled 218 to 42 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 19.0ms (31.6% of total)
ival-mult: 14.0ms (23.3% of total)
const: 11.0ms (18.3% of total)
ival-sub: 6.0ms (10% of total)
ival-add: 4.0ms (6.7% of total)
ival-pow: 3.0ms (5% of total)
ival-sqrt: 2.0ms (3.3% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
3.1MiB live, 49.7MiB allocated
Counts
23 → 56
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)
(+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal -1/9 binary64) x)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
Outputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(* -1/3 (* (sqrt x) y))
(+ x (* -1/3 (* (sqrt x) y)))
(* -1/3 (sqrt x))
(sqrt x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ -1 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* x (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))))
(* x (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))
(- (* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))
(* -1 (* x (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))
(* -1 (* x (- (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) 1)))
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
-1/9
(- x 1/9)
x
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt x)) (/ x y)) (* 1/9 (/ 1 y))))
(* y (+ (* -1/3 (sqrt x)) (/ x y)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- x 1/9) y)) (* 1/3 (sqrt x)))))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (sqrt x)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@inf
((- (- 1 (/ y (* (sqrt x) 3))) (/ 1/9 x)) (- 1 (/ y (* (sqrt x) 3))) (/ y (* (sqrt x) 3)) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (+ (* (* -1/3 (sqrt x)) y) x) (+ (* (* -1/3 (sqrt x)) (/ y x)) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* -1/3 (sqrt x)) (sqrt x) (/ (/ -1 x) 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (/ 1/9 x) (/ -1/9 x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
4.0ms
y
@-inf
((- (- 1 (/ y (* (sqrt x) 3))) (/ 1/9 x)) (- 1 (/ y (* (sqrt x) 3))) (/ y (* (sqrt x) 3)) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (+ (* (* -1/3 (sqrt x)) y) x) (+ (* (* -1/3 (sqrt x)) (/ y x)) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* -1/3 (sqrt x)) (sqrt x) (/ (/ -1 x) 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (/ 1/9 x) (/ -1/9 x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
3.0ms
x
@-inf
((- (- 1 (/ y (* (sqrt x) 3))) (/ 1/9 x)) (- 1 (/ y (* (sqrt x) 3))) (/ y (* (sqrt x) 3)) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (+ (* (* -1/3 (sqrt x)) y) x) (+ (* (* -1/3 (sqrt x)) (/ y x)) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* -1/3 (sqrt x)) (sqrt x) (/ (/ -1 x) 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (/ 1/9 x) (/ -1/9 x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
3.0ms
x
@0
((- (- 1 (/ y (* (sqrt x) 3))) (/ 1/9 x)) (- 1 (/ y (* (sqrt x) 3))) (/ y (* (sqrt x) 3)) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (+ (* (* -1/3 (sqrt x)) y) x) (+ (* (* -1/3 (sqrt x)) (/ y x)) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* -1/3 (sqrt x)) (sqrt x) (/ (/ -1 x) 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (/ 1/9 x) (/ -1/9 x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
2.0ms
x
@inf
((- (- 1 (/ y (* (sqrt x) 3))) (/ 1/9 x)) (- 1 (/ y (* (sqrt x) 3))) (/ y (* (sqrt x) 3)) (* (sqrt x) 3) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* -1/3 (* (sqrt x) y)) -1/9) x) (+ (* -1/3 (* (sqrt x) y)) -1/9) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (+ (* (* -1/3 (sqrt x)) y) x) (+ (* (* -1/3 (sqrt x)) (/ y x)) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* -1/3 (sqrt x)) (sqrt x) (/ (/ -1 x) 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (/ 1/9 x) (/ -1/9 x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))

simplify131.0ms (2.2%)

Memory
11.8MiB live, 199.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124501
1350494
21186486
33929486
46989486
08083449
Stop Event
1×iter limit
1×node limit
Counts
56 → 55
Calls
Call 1
Inputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(* -1/3 (* (sqrt x) y))
(+ x (* -1/3 (* (sqrt x) y)))
(* -1/3 (sqrt x))
(sqrt x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ -1 x)
(/ 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* x (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))))
(* x (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))))
1
(- 1 (* 1/9 (/ 1 x)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))
(- (* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))
(* -1 (* x (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))
(* -1 (* x (- (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) 1)))
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
-1/9
(- x 1/9)
x
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt x)) (/ x y)) (* 1/9 (/ 1 y))))
(* y (+ (* -1/3 (sqrt x)) (/ x y)))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- x 1/9) y)) (* 1/3 (sqrt x)))))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (sqrt x)))))
Outputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x) x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64))
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(+ x (* -1/3 (* (sqrt x) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)
(* -1/3 (sqrt x))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(/.f64 (+.f64 #s(literal -1/9 binary64) x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(* x (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))))
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* x (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (+.f64 #s(literal -1/9 binary64) x) x)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))
(neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(- (* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(* -1 (* x (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
-1/9
#s(literal -1/9 binary64)
(- x 1/9)
(-.f64 x #s(literal 1/9 binary64))
x
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(* y (- (+ (* -1/3 (sqrt x)) (/ x y)) (* 1/9 (/ 1 y))))
(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))
(* y (+ (* -1/3 (sqrt x)) (/ x y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(* -1 (* y (+ (* -1 (/ (- x 1/9) y)) (* 1/3 (sqrt x)))))
(-.f64 x (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)))
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (sqrt x)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)

rewrite243.0ms (4%)

Memory
4.2MiB live, 307.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047232
070230
1284214
22036214
08238205
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 439
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)
(+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x))
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal -1/9 binary64) x)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
Outputs
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x))))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y #s(literal 3 binary64))))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (neg.f64 y)))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x))))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y)))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) y))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) (neg.f64 x)) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal -1/9 binary64)))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)) #s(literal -1/9 binary64)))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) x) (*.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 (+.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) y)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) (sqrt.f64 x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 y))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
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(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -9 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -9 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x))
(/.f64 #s(literal -1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))
(neg.f64 (/.f64 #s(literal 1/9 binary64) x))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal -9 binary64)) (/.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) #s(literal -9 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 (neg.f64 y) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))) #s(literal -3 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 y (sqrt.f64 x)))) #s(literal 3 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 3 binary64))) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (neg.f64 (/.f64 y #s(literal 3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(neg.f64 (/.f64 y (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))

eval132.0ms (2.2%)

Memory
-21.2MiB live, 118.5MiB allocated
Compiler

Compiled 15 661 to 1 752 computations (88.8% saved)

prune25.0ms (0.4%)

Memory
-4.3MiB live, 47.3MiB allocated
Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New4585463
Fresh3811
Picked325
Done044
Total46419483
Accuracy
100.0%
Counts
483 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.4%
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
✓99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓68.1%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
68.1%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓68.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
68.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
68.4%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
68.4%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
✓68.5%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶99.6%
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
▶62.9%
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
▶60.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)))
▶60.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)))
▶60.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
✓60.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
46.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)))
30.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
✓31.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
38.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 745 to 590 computations (20.8% saved)

simplify34.0ms (0.6%)

Memory
-0.6MiB live, 46.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)))
cost-diff4
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x))
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 x) y) x)
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)))
cost-diff2
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x))
cost-diff0
(*.f64 y #s(literal -1/3 binary64))
cost-diff0
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x)
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
cost-diff0
(-.f64 x #s(literal 1/9 binary64))
cost-diff0
#s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64)))
cost-diff0
(/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x)
cost-diff0
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 y (sqrt.f64 x))
cost-diff0
(fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
cost-diff0
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048274
071259
1115251
2192251
3348251
4601251
5833251
6906251
7936251
8940251
9948251
10958251
11971251
12979251
0979251
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1/3 binary64)
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x)
#s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64)))
(-.f64 x #s(literal 1/9 binary64))
x
#s(literal 1/9 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x)
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64))
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
#s(literal -1/9 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal -1/3 binary64)
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1/9 binary64)
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
#s(literal -1/3 binary64)
Outputs
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1/3 binary64)
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x)
#s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64)))
(-.f64 x #s(literal 1/9 binary64))
x
#s(literal 1/9 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x)
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64))
(*.f64 y #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) y)
y
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
#s(literal -1/9 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)
(/.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
x
y
#s(literal -1/3 binary64)
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #s(literal -1/9 binary64)) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1/9 binary64)
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
#s(literal -1/3 binary64)

localize163.0ms (2.7%)

Memory
1.6MiB live, 191.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.228847509768442
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x))
accuracy0.3671875
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
accuracy7.993636496916373
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
accuracy20.26318888992705
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)))
accuracy0.22265625
(*.f64 (sqrt.f64 x) y)
accuracy0.36328125
(/.f64 #s(literal -1/9 binary64) x)
accuracy8.044303395004729
(/.f64 (*.f64 (sqrt.f64 x) y) x)
accuracy20.26318888992705
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)))
accuracy0.09994125976844201
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64))
accuracy0.3671875
(*.f64 y #s(literal -1/3 binary64))
accuracy5.259238142950427
(/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x)
accuracy20.26318888992705
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
accuracy0.0
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
accuracy0.012976281620653759
(-.f64 x #s(literal 1/9 binary64))
accuracy5.169394392950427
(/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x)
accuracy23.64704102242572
#s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64)))
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
accuracy0.1640625
(fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
accuracy0.24609375
(/.f64 y (sqrt.f64 x))
accuracy0.36328125
(/.f64 #s(literal 1/9 binary64) x)
Samples
132.0ms256×0valid
Compiler

Compiled 221 to 48 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-mult: 47.0ms (41.6% of total)
ival-div: 35.0ms (31% of total)
const: 12.0ms (10.6% of total)
ival-sub: 7.0ms (6.2% of total)
ival-add: 6.0ms (5.3% of total)
ival-pow: 3.0ms (2.7% of total)
ival-sqrt: 2.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
30.3MiB live, 30.3MiB allocated
Counts
23 → 56
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 y (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x)
#s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64)))
(-.f64 x #s(literal 1/9 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x)
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64))
(*.f64 y #s(literal -1/3 binary64))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal -1/9 binary64) x)
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
Outputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(* (sqrt (/ 1 x)) y)
(sqrt x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
-1/9
(- x 1/9)
(* (sqrt x) y)
(/ -1 x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(/ -1/9 x)
(* -1/3 (* (sqrt x) y))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* 1/3 (* (sqrt (/ 1 x)) y))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* x (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))))
(* x (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))))
x
(* x (- 1 (* 1/9 (/ 1 x))))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))
(- (* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))
(* -1 (* x (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))
(* -1 (* x (- (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) 1)))
(* -1 (* x (- (* 1/9 (/ 1 x)) 1)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(- 1 (* 1/9 (/ 1 x)))
(/ (- x 1/9) x)
(* -1/3 y)
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt x)) (/ x y)) (* 1/9 (/ 1 y))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- x 1/9) y)) (* 1/3 (sqrt x)))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((- 1 (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x))) (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/ y (sqrt x)) (sqrt x) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (- x 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* y -1/3) (sqrt x)) -1/9) x) (+ (* (* y -1/3) (sqrt x)) -1/9) (* y -1/3) (+ (* (/ (* (sqrt x) y) x) -1/3) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (* (sqrt x) y) x) (* (sqrt x) y) (+ (* (/ -1 x) 1/9) (/ (* (* (sqrt x) y) -1/3) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ -1 x) (/ (* (* (sqrt x) y) -1/3) x) (/ 1/9 x) (/ -1/9 x) (* (* (sqrt x) y) -1/3))
3.0ms
x
@0
((- 1 (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x))) (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/ y (sqrt x)) (sqrt x) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (- x 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* y -1/3) (sqrt x)) -1/9) x) (+ (* (* y -1/3) (sqrt x)) -1/9) (* y -1/3) (+ (* (/ (* (sqrt x) y) x) -1/3) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (* (sqrt x) y) x) (* (sqrt x) y) (+ (* (/ -1 x) 1/9) (/ (* (* (sqrt x) y) -1/3) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ -1 x) (/ (* (* (sqrt x) y) -1/3) x) (/ 1/9 x) (/ -1/9 x) (* (* (sqrt x) y) -1/3))
2.0ms
y
@-inf
((- 1 (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x))) (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/ y (sqrt x)) (sqrt x) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (- x 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* y -1/3) (sqrt x)) -1/9) x) (+ (* (* y -1/3) (sqrt x)) -1/9) (* y -1/3) (+ (* (/ (* (sqrt x) y) x) -1/3) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (* (sqrt x) y) x) (* (sqrt x) y) (+ (* (/ -1 x) 1/9) (/ (* (* (sqrt x) y) -1/3) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ -1 x) (/ (* (* (sqrt x) y) -1/3) x) (/ 1/9 x) (/ -1/9 x) (* (* (sqrt x) y) -1/3))
2.0ms
y
@inf
((- 1 (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x))) (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/ y (sqrt x)) (sqrt x) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (- x 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* y -1/3) (sqrt x)) -1/9) x) (+ (* (* y -1/3) (sqrt x)) -1/9) (* y -1/3) (+ (* (/ (* (sqrt x) y) x) -1/3) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (* (sqrt x) y) x) (* (sqrt x) y) (+ (* (/ -1 x) 1/9) (/ (* (* (sqrt x) y) -1/3) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ -1 x) (/ (* (* (sqrt x) y) -1/3) x) (/ 1/9 x) (/ -1/9 x) (* (* (sqrt x) y) -1/3))
2.0ms
x
@inf
((- 1 (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x))) (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/ y (sqrt x)) (sqrt x) (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (- x 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (+ (* (* y -1/3) (sqrt x)) -1/9) x) (+ (* (* y -1/3) (sqrt x)) -1/9) (* y -1/3) (+ (* (/ (* (sqrt x) y) x) -1/3) (/ -1/9 x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ (* (sqrt x) y) x) (* (sqrt x) y) (+ (* (/ -1 x) 1/9) (/ (* (* (sqrt x) y) -1/3) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/ -1 x) (/ (* (* (sqrt x) y) -1/3) x) (/ 1/9 x) (/ -1/9 x) (* (* (sqrt x) y) -1/3))

simplify156.0ms (2.6%)

Memory
-31.1MiB live, 151.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117510
1326503
21128495
33609495
08041460
Stop Event
1×iter limit
1×node limit
Counts
56 → 55
Calls
Call 1
Inputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(* (sqrt (/ 1 x)) y)
(sqrt x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
-1/9
(- x 1/9)
(* (sqrt x) y)
(/ -1 x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ 1/9 x)
(/ -1/9 x)
(* -1/3 (* (sqrt x) y))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* 1/3 (* (sqrt (/ 1 x)) y))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* x (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))))
(* x (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))))
x
(* x (- 1 (* 1/9 (/ 1 x))))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))
(- (* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))
(* -1 (* x (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))
(* -1 (* x (- (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) 1)))
(* -1 (* x (- (* 1/9 (/ 1 x)) 1)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(- 1 (* 1/9 (/ 1 x)))
(/ (- x 1/9) x)
(* -1/3 y)
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt x)) (/ x y)) (* 1/9 (/ 1 y))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1 (* y (+ (* -1 (/ (- x 1/9) y)) (* 1/3 (sqrt x)))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
Outputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt x)
(sqrt.f64 x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64))
(- (+ x (* -1/3 (* (sqrt x) y))) 1/9)
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
-1/9
#s(literal -1/9 binary64)
(- x 1/9)
(-.f64 x #s(literal 1/9 binary64))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1/3 (* (sqrt x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* x (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))))
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* x (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
x
(* x (- 1 (* 1/9 (/ 1 x))))
(-.f64 x #s(literal 1/9 binary64))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1))
(neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(- (* -1 (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* x (- (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x #s(literal -1/9 binary64))
(* -1 (* x (- (* 1/9 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)))
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(fma.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64))
(* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(/ (- x 1/9) x)
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(* -1/3 y)
(*.f64 #s(literal -1/3 binary64) y)
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* y (- (+ (* -1/3 (sqrt x)) (/ x y)) (* 1/9 (/ 1 y))))
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/9 binary64) x))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1/9 binary64)) x))
(* -1 (* y (+ (* -1 (/ (- x 1/9) y)) (* 1/3 (sqrt x)))))
(-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/9 binary64) x))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64))

rewrite306.0ms (5%)

Memory
37.4MiB live, 264.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048244
071229
1313221
22188221
08760221
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 521
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 y (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x)
#s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64)))
(-.f64 x #s(literal 1/9 binary64))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x)
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64))
(*.f64 y #s(literal -1/3 binary64))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 (*.f64 (sqrt.f64 x) y) x)
(*.f64 (sqrt.f64 x) y)
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal -1/9 binary64) x)
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64))) (+.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) x))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) x))))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) x))))))
(-.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (+.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(+.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) (+.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x))) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x))) (/.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))) (/.f64 (pow.f64 (*.f64 y #s(literal 1/3 binary64)) #s(literal 2 binary64)) x)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/729 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))))
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(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
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(*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))

eval88.0ms (1.4%)

Memory
17.8MiB live, 136.6MiB allocated
Compiler

Compiled 12 922 to 1 533 computations (88.1% saved)

prune40.0ms (0.7%)

Memory
15.1MiB live, 104.3MiB allocated
Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New4164420
Fresh178
Picked055
Done156
Total41821439
Accuracy
100.0%
Counts
439 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.4%
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
✓68.1%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
68.1%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓68.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
68.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
68.4%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
68.4%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
✓68.5%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
✓99.6%
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
91.8%
(-.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)))
✓62.9%
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
62.9%
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) #s(approx (- x 1/9) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) x))
✓60.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓60.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)))
✓60.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
✓60.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
46.1%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)))
30.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* y -1/3) (sqrt x)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
✓31.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
38.6%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 1 312 to 588 computations (55.2% saved)

regimes73.0ms (1.2%)

Memory
-37.1MiB live, 72.6MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* y -1/3) (sqrt x)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) #s(approx (- x 1/9) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
(-.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 x) (*.f64 y (/.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

44.0ms
y
17.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
9.0ms
x
Results
AccuracySegmentsBranch
99.8%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.8%1x
99.8%1y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes28.0ms (0.5%)

Memory
5.0MiB live, 52.3MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* y -1/3) (sqrt x)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) #s(approx (- x 1/9) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
(-.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 x) (*.f64 y (/.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y) #s(literal 1/81 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

10.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
8.0ms
y
8.0ms
x
Results
AccuracySegmentsBranch
99.7%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.7%1x
99.7%1y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes24.0ms (0.4%)

Memory
-4.9MiB live, 41.8MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* y -1/3) (sqrt x)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) #s(approx (- x 1/9) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
(-.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 x) (*.f64 y (/.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
Calls

3 calls:

7.0ms
y
7.0ms
x
7.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.7%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.7%1x
99.7%1y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes18.0ms (0.3%)

Memory
34.8MiB live, 34.8MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* y -1/3) (sqrt x)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) #s(approx (- x 1/9) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
(-.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (sqrt.f64 x) (*.f64 y (/.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 y x) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)))
Outputs
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
Calls

3 calls:

6.0ms
y
5.0ms
x
5.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%1x
99.6%1y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes108.0ms (1.8%)

Memory
7.6MiB live, 53.3MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* y -1/3) (sqrt x)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) #s(approx (- x 1/9) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
(-.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Outputs
(-.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x)))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

98.0ms
x
5.0ms
y
5.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
98.1%2(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%2x
99.7%3y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes10.0ms (0.2%)

Memory
-43.4MiB live, 9.7MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* y -1/3) (sqrt x)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) #s(approx (- x 1/9) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* y -1/3) (sqrt x)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) #s(approx (- x 1/9) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))))) x))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.3%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* y -1/3) (sqrt x)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.3%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (* y -1/3) (sqrt x)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))) x))
Outputs
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
96.1%3y
81.5%3(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
84.3%2x
Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
Outputs
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
Calls

3 calls:

1.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
62.9%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
62.9%1x
62.9%1y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes5.0ms (0.1%)

Memory
-38.4MiB live, 8.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
Calls

3 calls:

2.0ms
x
1.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
1.0ms
y
Results
AccuracySegmentsBranch
31.2%1y
31.2%1(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
31.2%1x
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch14.0ms (0.2%)

Memory
22.8MiB live, 22.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
306955370255873.94
14276211544635512.0
Samples
7.0ms112×0valid
Compiler

Compiled 283 to 255 computations (9.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (21.2% of total)
ival-sub: 1.0ms (21.2% of total)
ival-mult: 1.0ms (21.2% of total)
ival-sqrt: 1.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
7.0ms
306955370255873.94
14276211544635512.0
Samples
4.0ms64×0valid
Compiler

Compiled 311 to 269 computations (13.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (37.2% of total)
ival-sub: 1.0ms (37.2% of total)
ival-mult: 1.0ms (37.2% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.3%)

Memory
-19.5MiB live, 26.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
9.725606715759019e-6
0.09893173563778186
Samples
11.0ms128×0valid
Compiler

Compiled 337 to 297 computations (11.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (50.9% of total)
ival-div: 2.0ms (25.4% of total)
ival-sub: 1.0ms (12.7% of total)
ival-sqrt: 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)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
9.725606715759019e-6
0.09893173563778186
Compiler

Compiled 337 to 297 computations (11.9% saved)

bsearch28.0ms (0.5%)

Memory
-8.7MiB live, 40.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
3.246506134125614e+48
1.3582785818442567e+52
8.0ms
-1.571484921995054e+54
-7.584200002684655e+53
Samples
14.0ms208×0valid
Compiler

Compiled 628 to 537 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (33.8% of total)
ival-mult: 3.0ms (33.8% of total)
ival-sub: 2.0ms (22.5% of total)
ival-sqrt: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify26.0ms (0.4%)

Memory
-13.1MiB live, 33.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091341
1141341
2226341
3355341
4478341
5540341
6564341
7577341
8588341
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(if (<=.f64 x #s(literal 2050000000000000 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 1000000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 3458764513820541/36028797018963968 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 3458764513820541/36028797018963968 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 330000000000000004409053041463916596751399087243264 binary64)) #s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(if (<=.f64 x #s(literal 2050000000000000 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (/ y (sqrt x))) (/ 1/9 x)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64)) x))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 1000000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 1000000000000000 binary64)) #s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 x (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 3458764513820541/36028797018963968 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 3458764513820541/36028797018963968 binary64)) #s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 3458764513820541/36028797018963968 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 3458764513820541/36028797018963968 binary64)) #s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 330000000000000004409053041463916596751399087243264 binary64)) #s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (or (<=.f64 y #s(literal -1000000000000000078291540404596243842305360299886116864 binary64)) (not (<=.f64 y #s(literal 330000000000000004409053041463916596751399087243264 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x)))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))
#s(approx (- (- 1 (/ (pow x -1) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))

soundness1.7s (27.5%)

Memory
54.8MiB live, 1 203.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055133
1122133
2297132
3771132
42139132
55212132
67638132
08414125
0124501
1350494
21186486
33929486
46989486
08083449
086276
1223274
2769270
32436270
45722270
08170253
037175
058175
1208153
21211153
08975153
0117510
1326503
21128495
33609495
08041460
047232
070230
1284214
22036214
08238205
01239
01939
16433
256033
0822433
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 702 to 376 computations (46.4% saved)

preprocess195.0ms (3.2%)

Memory
24.7MiB live, 169.6MiB allocated
Compiler

Compiled 738 to 246 computations (66.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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