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

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
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)

sample1.2s (20%)

Memory
-20.4MiB live, 1 309.0MiB allocated; 168ms collecting garbage
Samples
766.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 486.0ms
ival-mult: 169.0ms (34.8% of total)
ival-div: 155.0ms (31.9% of total)
ival-sub: 73.0ms (15% of total)
ival-sqrt: 69.0ms (14.2% of total)
exact: 10.0ms (2.1% of total)
ival-true: 5.0ms (1% of total)
adjust: 3.0ms (0.6% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain188.0ms (3.2%)

Memory
-10.7MiB live, 93.8MiB allocated; 7ms collecting garbage
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
39.0ms512×0valid
Compiler

Compiled 110 to 40 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 7.0ms (31.4% of total)
ival-mult: 6.0ms (26.9% of total)
ival-sub: 4.0ms (17.9% of total)
ival-sqrt: 4.0ms (17.9% of total)
exact: 1.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess15.0ms (0.3%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03078
15968
28564
311164
411364
01214
01914
12912
23512
33712
03712
Stop Event
iter limit
saturated
iter limit
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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
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
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Algorithm
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
iter limit
saturated
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)

localize32.0ms (0.5%)

Memory
-20.5MiB live, 24.6MiB allocated; 4ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy0.25390625
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.2578125
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy0.3046875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
19.0ms256×0valid
Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (27.2% of total)
ival-mult: 3.0ms (27.2% of total)
ival-sub: 2.0ms (18.1% of total)
ival-sqrt: 2.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
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))))
3.0ms
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))))

simplify140.0ms (2.4%)

Memory
-14.3MiB live, 80.1MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055133
1122133
2297132
3771132
42139132
55212132
67638132
08414125
Stop Event
iter limit
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))

rewrite248.0ms (4.2%)

Memory
10.7MiB live, 247.4MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01239
01939
16433
256033
0822433
Stop Event
iter limit
node limit
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))))

eval21.0ms (0.4%)

Memory
-6.9MiB live, 39.8MiB allocated; 2ms collecting garbage
Compiler

Compiled 5 002 to 610 computations (87.8% saved)

prune10.0ms (0.2%)

Memory
23.4MiB live, 23.4MiB allocated; 0ms collecting garbage
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
81.1%
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.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 (sqrt.f64 x) #s(literal 3 binary64))))
69.7%
(-.f64 (/.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 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.7%
(-.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))))
99.8%
(-.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))))
99.6%
(-.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))))
64.3%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
71.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
58.3%
#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))
93.7%
#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))
37.4%
#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 476 to 372 computations (21.8% saved)

simplify41.0ms (0.7%)

Memory
-16.7MiB live, 30.9MiB allocated; 1ms collecting garbage
Algorithm
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
(*.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 (sqrt.f64 x)) #s(literal 3 binary64)))
cost-diff2
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035230
056230
177208
2105208
3171208
4284208
5463208
6590208
7636208
8655208
9687208
10723208
11726208
0726208
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.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)))
(-.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 (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
#s(literal 3 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))
#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 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (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 (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
#s(literal 3 binary64)
(-.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 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
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))
#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 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
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 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(sqrt.f64 x)

localize138.0ms (2.4%)

Memory
1.3MiB live, 113.0MiB allocated; 58ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy0.2578125
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy0.30306625976844204
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
accuracy0.25390625
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.3046875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.390625
(/.f64 #s(literal -1/9 binary64) x)
accuracy34.430091652657076
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
accuracy0.20703125
(*.f64 (sqrt.f64 x) y)
accuracy0.2109375
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64))
accuracy4.099429315238177
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
accuracy22.632100362178008
#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))
accuracy0.0
(sqrt.f64 x)
accuracy0.25390625
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.3046875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy29.65999918222349
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy0.1953125
(/.f64 y (sqrt.f64 x))
accuracy0.203125
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
accuracy0.2578125
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Samples
118.0ms256×0valid
Compiler

Compiled 212 to 27 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-div: 62.0ms (62.5% of total)
ival-sub: 21.0ms (21.2% of total)
ival-mult: 6.0ms (6.1% of total)
const: 6.0ms (6.1% of total)
ival-sqrt: 2.0ms (2% of total)
ival-add: 1.0ms (1% of total)
adjust: 0.0ms (0% 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
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Counts
20 → 36
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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 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 (-.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 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(/.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)
(* 9 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)
(* (sqrt (/ 1 x)) y)
(sqrt 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 (* (sqrt x) (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
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 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 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (sqrt x) (/ (/ y 3) (sqrt x)))
3.0ms
x
@-inf
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 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 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (sqrt x) (/ (/ y 3) (sqrt x)))
2.0ms
y
@-inf
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 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 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (sqrt x) (/ (/ y 3) (sqrt x)))
2.0ms
x
@inf
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 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 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (sqrt x) (/ (/ y 3) (sqrt x)))
2.0ms
y
@inf
((/ 1 (* x 9)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (* x 9) (- (- 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 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (sqrt x) (/ (/ y 3) (sqrt x)))

simplify104.0ms (1.8%)

Memory
-8.0MiB live, 179.6MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087283
1227281
2781277
32496277
45775277
08177260
Stop Event
iter limit
node limit
Counts
36 → 36
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)
(* 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)
(* (sqrt (/ 1 x)) y)
(sqrt 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 (* (sqrt x) (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)
(* 9 x)
(*.f64 #s(literal 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)))
(* 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)
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt x)
(sqrt.f64 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) y) x) (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) y) x) (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 (* (sqrt x) (pow (sqrt -1) 2)))
(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))
-1/9
#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))

rewrite168.0ms (2.9%)

Memory
6.8MiB live, 287.7MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035172
056172
1187154
21276154
08695154
Stop Event
iter limit
node limit
iter limit
Counts
20 → 385
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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 x #s(literal 9 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 (-.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 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
Outputs
(*.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 (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 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/9 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 (/.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 (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 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 9 binary64))
(/.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 1/9 binary64) (fabs.f64 x))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -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))
(neg.f64 (/.f64 #s(literal -1/9 binary64) 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 (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 y (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 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)))))
(/.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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.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 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) #s(literal -3 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (neg.f64 y) (sqrt.f64 x))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -3 binary64))))
(/.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 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (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))))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.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 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (sqrt.f64 x))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64))) (sqrt.f64 x)) #s(literal 3 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -3 binary64)) (sqrt.f64 x)))
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.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)))) (/.f64 y #s(literal -3 binary64))))) (neg.f64 (*.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))) (neg.f64 (sqrt.f64 x)))))
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(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))) (neg.f64 (sqrt.f64 x))) (*.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))) (neg.f64 (sqrt.f64 x)))) (/.f64 (*.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))) (/.f64 y #s(literal -3 binary64))) (*.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))) (neg.f64 (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 (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 -3 binary64))) (/.f64 (*.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))) (/.f64 (neg.f64 y) (sqrt.f64 x))) (*.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 -3 binary64))))
(-.f64 (/.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)) (sqrt.f64 x)) (*.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))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))) (/.f64 (*.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))) (neg.f64 y)) (*.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))) (*.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))) (sqrt.f64 x)) (*.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))) (sqrt.f64 x))) (/.f64 (*.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))) (/.f64 y #s(literal 3 binary64))) (*.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))) (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 (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 3 binary64))) (/.f64 (*.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))) (/.f64 y (sqrt.f64 x))) (*.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 3 binary64))))
(-.f64 (/.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)) (sqrt.f64 x)) (*.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))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 (*.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))) y) (*.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))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (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 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 y (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 -1 binary64)) (+.f64 (/.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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(-.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 (/.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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (neg.f64 (/.f64 (pow.f64 (/.f64 y #s(literal -3 binary64)) #s(literal 2 binary64)) x)) (-.f64 (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))))
(/.f64 (/.f64 y #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(/.f64 (/.f64 y #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)))

eval60.0ms (1%)

Memory
-1.0MiB live, 145.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 16 582 to 1 459 computations (91.2% saved)

prune18.0ms (0.3%)

Memory
10.9MiB live, 57.3MiB allocated; 2ms collecting garbage
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New46010470
Fresh437
Picked325
Done101
Total46815483
Accuracy
100.0%
Counts
483 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.7%
(-.f64 (/.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 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
64.4%
(-.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))))
64.4%
(-.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))))
64.3%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
64.3%
(-.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))))
71.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
71.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
71.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
58.4%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x))
93.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) 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)))
31.4%
#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))
29.0%
#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))
37.4%
#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 626 to 499 computations (20.3% saved)

simplify37.0ms (0.6%)

Memory
-5.3MiB live, 49.8MiB allocated; 9ms collecting garbage
Algorithm
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
(/.f64 y (sqrt.f64 x))
cost-diff0
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
cost-diff0
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
cost-diff0
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)
cost-diff0
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) 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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff0
(/.f64 #s(literal 1/9 binary64) x)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
cost-diff0
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045237
066234
195216
2129216
3206216
4325216
5501216
6605216
7645216
8661216
9700216
10736216
11741216
0741216
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.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) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(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(literal -1/9 binary64)
x
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #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)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
#s(literal -1/9 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 3 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 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
y
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(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))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #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)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
#s(literal -1/9 binary64)
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 3 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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
#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)))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)

localize126.0ms (2.2%)

Memory
-10.3MiB live, 252.3MiB allocated; 48ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.24609375
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))
accuracy0.25390625
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.3046875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy34.430091652657076
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)))
accuracy0.0
(sqrt.f64 x)
accuracy0.1953125
(/.f64 y (sqrt.f64 x))
accuracy0.203125
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
accuracy29.65999918222349
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy0.14453125
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64))
accuracy0.37890625
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy4.099429315238177
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)
accuracy22.632100362178008
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x))
accuracy4.099429315238177
(/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x)
accuracy22.632100362178008
#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))
accuracy34.39447005833166
#s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64))
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
accuracy0.25390625
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
accuracy0.3046875
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
accuracy0.390625
(/.f64 #s(literal 1/9 binary64) x)
Samples
94.0ms256×0valid
Compiler

Compiled 198 to 36 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
const: 35.0ms (48.5% of total)
ival-div: 16.0ms (22.2% of total)
ival-mult: 10.0ms (13.9% of total)
ival-sub: 5.0ms (6.9% of total)
ival-add: 2.0ms (2.8% of total)
ival-sqrt: 2.0ms (2.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.4%)

Memory
0.3MiB live, 45.3MiB allocated; 9ms collecting garbage
Counts
23 → 36
Calls
Call 1
Inputs
(-.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) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 y (*.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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #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)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64))
(*.f64 #s(literal -1/3 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)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (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 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 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)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ 1/9 x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (sqrt x))
(* (sqrt (/ 1 x)) y)
(/ -1 x)
(* 3 (sqrt x))
(sqrt 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))))
(* 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)))))
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (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
10.0ms
y
@inf
((- (- 1 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (/ (/ -1 x) 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (* (sqrt x) 3) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
2.0ms
x
@-inf
((- (- 1 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (/ (/ -1 x) 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (* (sqrt x) 3) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
2.0ms
x
@0
((- (- 1 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (/ (/ -1 x) 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (* (sqrt x) 3) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
2.0ms
x
@inf
((- (- 1 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (/ (/ -1 x) 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (* (sqrt x) 3) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))
2.0ms
y
@-inf
((- (- 1 (/ 1/9 x)) (/ y (* (sqrt x) 3))) (- 1 (/ 1/9 x)) (/ 1/9 x) (/ y (* (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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (+ (* (* -1/3 (sqrt x)) y) -1/9) x) (+ (* (* -1/3 (sqrt x)) y) -1/9) (* -1/3 (sqrt x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3) (/ y (sqrt x)) (/ (/ -1 x) 9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (* (sqrt x) 3) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))))

simplify144.0ms (2.5%)

Memory
30.0MiB live, 182.6MiB allocated; 55ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086283
1224281
2763277
32427277
46135277
08071260
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -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)
(/ 1/9 x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (sqrt x))
(* (sqrt (/ 1 x)) y)
(/ -1 x)
(* 3 (sqrt x))
(sqrt 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))))
(* 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)))))
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (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 (/ (+ 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)
(/ 1/9 x)
(/.f64 #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 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))
(* -1/3 (sqrt x))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(* (sqrt (/ 1 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt x)
(sqrt.f64 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 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 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 (*.f64 #s(literal -1/3 binary64) y) x) (sqrt.f64 (/.f64 #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))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(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))
-1/9
#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))

rewrite158.0ms (2.7%)

Memory
-21.2MiB live, 212.6MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045211
066208
1242190
21792190
08284190
Stop Event
iter limit
node limit
iter limit
Counts
23 → 341
Calls
Call 1
Inputs
(-.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) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 y (*.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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #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)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64))
(*.f64 #s(literal -1/3 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)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (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 (sqrt.f64 x) #s(literal 3 binary64))
(sqrt.f64 x)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
Outputs
(/.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 (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 #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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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 (/.f64 (pow.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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 (pow.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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 (pow.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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 (-.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 (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 #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 (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 #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 (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 #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 (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 (/.f64 y (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 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.f64 #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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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)))) #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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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)))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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 (pow.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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 (pow.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 y (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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 y (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 (+.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)))))
(/.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 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (-.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 (fma.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 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.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 (neg.f64 y) (sqrt.f64 x))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (fma.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 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.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 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (fma.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 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal -3 binary64) (sqrt.f64 x))))
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(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3 binary64))
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 y #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 y #s(literal 3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 (neg.f64 y) (*.f64 #s(literal -3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64)))

eval94.0ms (1.6%)

Memory
14.2MiB live, 113.4MiB allocated; 58ms collecting garbage
Compiler

Compiled 14 248 to 1 343 computations (90.6% saved)

prune16.0ms (0.3%)

Memory
-6.6MiB live, 39.6MiB allocated; 3ms collecting garbage
Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New3643367
Fresh268
Picked055
Done022
Total36616382
Accuracy
100.0%
Counts
382 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.7%
(-.f64 (/.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 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
64.4%
(-.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))))
64.4%
(-.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))))
64.3%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
64.3%
(-.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))))
71.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
71.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
71.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
64.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 y (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) (/.f64 #s(literal -1/9 binary64) x)))
58.4%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x))
93.7%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) 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)))
31.4%
#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))
29.0%
#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))
37.4%
#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 579 to 461 computations (20.4% saved)

simplify102.0ms (1.7%)

Memory
-20.5MiB live, 122.0MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y)
cost-diff0
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y) #s(literal 1/81 binary64))
cost-diff0
#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)))
cost-diff2
(/.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))
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 1/9 binary64)))
cost-diff0
(-.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))))
cost-diff2
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
cost-diff0
(/.f64 y #s(literal 3 binary64))
cost-diff0
(/.f64 (/.f64 y #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 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 #s(literal -1/3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#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))))
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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051321
079315
1127301
2223297
3546297
41654297
54218297
67119297
08218297
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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)))) (*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/3 binary64) y)
#s(literal -1/3 binary64)
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 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)
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))))
#s(approx (- 1 (/ 1 (* x 9))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1/9 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)
#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 (*.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 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y) #s(literal 1/81 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y)
(*.f64 (*.f64 #s(literal 1/9 binary64) x) y)
(*.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
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 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) 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 (sqrt.f64 x) #s(literal -1/3 binary64)) 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 (sqrt.f64 x) #s(literal -1/3 binary64)) 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)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x)
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
#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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y)))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y))
(*.f64 #s(literal -1/3 binary64) y)
#s(literal -1/3 binary64)
y
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 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 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
#s(literal 1 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)
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 -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (- 1 (/ 1 (* x 9))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1/9 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)
#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)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) y) y) (/.f64 #s(literal 1/81 binary64) x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))
(/.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 (*.f64 (*.f64 #s(literal 1/9 binary64) y) y) (/.f64 #s(literal 1/81 binary64) x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y) #s(literal 1/81 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y)
(*.f64 (*.f64 #s(literal 1/9 binary64) x) y)
(*.f64 #s(literal 1/9 binary64) x)
#s(literal 1/9 binary64)
x
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 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)

localize125.0ms (2.1%)

Memory
12.2MiB live, 202.9MiB allocated; 24ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3046875
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
accuracy0.32421875
(*.f64 #s(literal 1/9 binary64) x)
accuracy18.272119026654217
(/.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))
accuracy22.632100362178008
#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)))
accuracy0.25390625
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
accuracy0.3046875
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
accuracy0.37337875976844204
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
accuracy34.430091652657076
#s(approx (- 1 (/ 1 (* x 9))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))
accuracy0.0
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
accuracy0.0
(sqrt.f64 x)
accuracy0.30306625976844204
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
accuracy29.65999918222349
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
accuracy0.10546875
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.33041000976844204
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy0.359375
(*.f64 #s(literal -1/3 binary64) y)
accuracy39.95987258031392
#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))))
accuracy0.01171875
(+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x))
accuracy0.0859375
(fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)
accuracy0.37890625
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
accuracy3.982241815238177
(/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)
Samples
95.0ms256×0valid
Compiler

Compiled 268 to 45 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 25.0ms (37.4% of total)
ival-div: 18.0ms (27% of total)
const: 11.0ms (16.5% of total)
ival-sub: 6.0ms (9% of total)
ival-sqrt: 4.0ms (6% of total)
ival-add: 2.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series63.0ms (1.1%)

Memory
10.6MiB live, 56.1MiB allocated; 10ms collecting garbage
Counts
26 → 65
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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)
#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))))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/3 binary64) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 y #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
(-.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))))
#s(approx (- 1 (/ 1 (* x 9))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1 binary64) 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))
#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 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y) #s(literal 1/81 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y)
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 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)
(/ (- (* -1/3 (* (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)
(* -1/3 (* (sqrt x) y))
(+ x (* -1/3 (* (sqrt x) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(sqrt (/ 1 x))
(/ -1/9 x)
(/ (- x 1/9) x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ -1 x)
(/ -1/81 (* x (+ 1/9 (* -1/3 (* (sqrt x) y)))))
(/ (- (* 1/9 (/ (* x (pow y 2)) (+ 1/9 (* -1/3 (* (sqrt x) y))))) (* 1/81 (/ 1 (+ 1/9 (* -1/3 (* (sqrt x) y)))))) x)
-1/81
(- (* 1/9 (* x (pow y 2))) 1/81)
(* 1/9 (* x (pow y 2)))
(* -1/3 (sqrt x))
(sqrt x)
(* 3 (sqrt x))
(* 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 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)))
(/ (- (+ (* -1/3 (* (sqrt x) y)) (* 1/27 (* (sqrt (/ 1 x)) (/ 1 y)))) 1/9) x)
(/ (- (+ (* -1/3 (* (sqrt x) y)) (+ (* 1/27 (* (sqrt (/ 1 x)) (/ 1 y))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (- (* 1/27 (* (sqrt x) (/ 1 y))) (* 1/9 x)) y))))) 1/9) x)
(/ (- (+ (* -1/3 (* (sqrt x) y)) (+ (* 1/27 (* (sqrt (/ 1 x)) (/ 1 y))) (* 1/9 (/ (- (* 1/27 (* (sqrt x) (/ 1 y))) (* 1/9 x)) (* (pow x 2) (pow y 2)))))) (+ 1/9 (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ (- (* 1/27 (* (sqrt x) (/ 1 y))) (* 1/9 x)) y))))) x)
(* x (- (* 1/9 (pow y 2)) (* 1/81 (/ 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 (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (/ (+ (* -1/3 (* (sqrt x) y)) (+ (* 1/27 (* (sqrt (/ 1 x)) (/ 1 y))) (/ -1/9 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y)))) y)))) x)) (* -1/3 (* (sqrt x) y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y))))) (* -1 (/ (+ (* -1/3 (* (sqrt x) (/ (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y)))) y))) (* -1/9 (/ (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y)))) (* (pow y 2) (pow (sqrt -1) 2))))) x))) x)) (* -1/3 (* (sqrt x) y))) x))
(* -1 (* x (+ (* -1/9 (pow y 2)) (* 1/81 (/ 1 x)))))
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(- x 1/9)
x
(* -1/3 y)
(* 1/3 y)
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* 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 x)) (/ x y)))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* (pow y 2) (- (* 1/9 x) (* 1/81 (/ 1 (pow y 2)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -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)))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
Calls

6 calls:

TimeVariablePointExpression
41.0ms
x
@-inf
((- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (+ (* (* -1/3 (sqrt x)) y) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x)) (/ y 3) (* (/ -1 x) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (/ (- (* (* (* 1/9 x) y) y) 1/81) (* (- (* (* (sqrt x) y) -1/3) -1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- (* (* (* 1/9 x) y) y) 1/81) (* (* (* 1/9 x) y) y) (* -1/3 (sqrt x)) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* 1/9 x) (* (* (sqrt x) y) -1/3))
6.0ms
x
@inf
((- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (+ (* (* -1/3 (sqrt x)) y) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x)) (/ y 3) (* (/ -1 x) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (/ (- (* (* (* 1/9 x) y) y) 1/81) (* (- (* (* (sqrt x) y) -1/3) -1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- (* (* (* 1/9 x) y) y) 1/81) (* (* (* 1/9 x) y) y) (* -1/3 (sqrt x)) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* 1/9 x) (* (* (sqrt x) y) -1/3))
4.0ms
x
@0
((- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (+ (* (* -1/3 (sqrt x)) y) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x)) (/ y 3) (* (/ -1 x) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (/ (- (* (* (* 1/9 x) y) y) 1/81) (* (- (* (* (sqrt x) y) -1/3) -1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- (* (* (* 1/9 x) y) y) 1/81) (* (* (* 1/9 x) y) y) (* -1/3 (sqrt x)) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* 1/9 x) (* (* (sqrt x) y) -1/3))
4.0ms
y
@inf
((- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (+ (* (* -1/3 (sqrt x)) y) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x)) (/ y 3) (* (/ -1 x) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (/ (- (* (* (* 1/9 x) y) y) 1/81) (* (- (* (* (sqrt x) y) -1/3) -1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- (* (* (* 1/9 x) y) y) 1/81) (* (* (* 1/9 x) y) y) (* -1/3 (sqrt x)) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* 1/9 x) (* (* (sqrt x) y) -1/3))
3.0ms
y
@0
((- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/ (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) x) (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (+ (* (* -1/3 (sqrt x)) y) x) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (* (* -1/3 y) (sqrt (/ 1 x))) (* -1/3 y) (sqrt (/ 1 x)) (- (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x))) (- 1 (/ 1 (* x 9))) (/ (/ y 3) (sqrt x)) (/ y 3) (* (/ -1 x) 1/9) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- 1 (/ 1 (* x 9))) (/ -1 x) (/ (- (* (* (* 1/9 x) y) y) 1/81) (* (- (* (* (sqrt x) y) -1/3) -1/9) x)) (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (- (* (* (* 1/9 x) y) y) 1/81) (* (* (* 1/9 x) y) y) (* -1/3 (sqrt x)) (sqrt x) (* 3 (sqrt x)) (/ y (* 3 (sqrt x))) (* 1/9 x) (* (* (sqrt x) y) -1/3))

simplify193.0ms (3.3%)

Memory
33.2MiB live, 237.4MiB allocated; 68ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200875
1613790
22303771
08687718
Stop Event
iter limit
node limit
Counts
65 → 64
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 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)
(* -1/3 (* (sqrt x) y))
(+ x (* -1/3 (* (sqrt x) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(sqrt (/ 1 x))
(/ -1/9 x)
(/ (- x 1/9) x)
(* 1/3 (* (sqrt (/ 1 x)) y))
(/ -1 x)
(/ -1/81 (* x (+ 1/9 (* -1/3 (* (sqrt x) y)))))
(/ (- (* 1/9 (/ (* x (pow y 2)) (+ 1/9 (* -1/3 (* (sqrt x) y))))) (* 1/81 (/ 1 (+ 1/9 (* -1/3 (* (sqrt x) y)))))) x)
-1/81
(- (* 1/9 (* x (pow y 2))) 1/81)
(* 1/9 (* x (pow y 2)))
(* -1/3 (sqrt x))
(sqrt x)
(* 3 (sqrt x))
(* 1/9 x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (+ (* 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)))
(/ (- (+ (* -1/3 (* (sqrt x) y)) (* 1/27 (* (sqrt (/ 1 x)) (/ 1 y)))) 1/9) x)
(/ (- (+ (* -1/3 (* (sqrt x) y)) (+ (* 1/27 (* (sqrt (/ 1 x)) (/ 1 y))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (- (* 1/27 (* (sqrt x) (/ 1 y))) (* 1/9 x)) y))))) 1/9) x)
(/ (- (+ (* -1/3 (* (sqrt x) y)) (+ (* 1/27 (* (sqrt (/ 1 x)) (/ 1 y))) (* 1/9 (/ (- (* 1/27 (* (sqrt x) (/ 1 y))) (* 1/9 x)) (* (pow x 2) (pow y 2)))))) (+ 1/9 (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ (- (* 1/27 (* (sqrt x) (/ 1 y))) (* 1/9 x)) y))))) x)
(* x (- (* 1/9 (pow y 2)) (* 1/81 (/ 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 (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (/ (+ (* -1/3 (* (sqrt x) y)) (+ (* 1/27 (* (sqrt (/ 1 x)) (/ 1 y))) (/ -1/9 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y)))) y)))) x)) (* -1/3 (* (sqrt x) y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y))))) (* -1 (/ (+ (* -1/3 (* (sqrt x) (/ (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y)))) y))) (* -1/9 (/ (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y)))) (* (pow y 2) (pow (sqrt -1) 2))))) x))) x)) (* -1/3 (* (sqrt x) y))) x))
(* -1 (* x (+ (* -1/9 (pow y 2)) (* 1/81 (/ 1 x)))))
(* 1/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(- x 1/9)
x
(* -1/3 y)
(* 1/3 y)
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* 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 x)) (/ x y)))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* (pow y 2) (- (* 1/9 x) (* 1/81 (/ 1 (pow y 2)))))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(* -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)))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
Outputs
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #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)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 x) #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)
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) #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)))
(* -1/3 (* (sqrt x) y))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
(+ x (* -1/3 (* (sqrt x) y)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 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)
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1/81 (* x (+ 1/9 (* -1/3 (* (sqrt x) y)))))
(/.f64 (/.f64 #s(literal -1/81 binary64) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) x)
(/ (- (* 1/9 (/ (* x (pow y 2)) (+ 1/9 (* -1/3 (* (sqrt x) y))))) (* 1/81 (/ 1 (+ 1/9 (* -1/3 (* (sqrt x) y)))))) x)
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y #s(literal -1/81 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x))
-1/81
#s(literal -1/81 binary64)
(- (* 1/9 (* x (pow y 2))) 1/81)
(fma.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y #s(literal -1/81 binary64))
(* 1/9 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/9 binary64))
(* -1/3 (sqrt x))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(* 3 (sqrt x))
(*.f64 #s(literal 3 binary64) (sqrt.f64 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 x #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))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) 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)) (/.f64 #s(literal -1/9 binary64) x)) x x)
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(/.f64 (-.f64 x #s(literal 1/9 binary64)) x)
(/ (- (+ (* -1/3 (* (sqrt x) y)) (* 1/27 (* (sqrt (/ 1 x)) (/ 1 y)))) 1/9) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y)) #s(literal 1/9 binary64))) x)
(/ (- (+ (* -1/3 (* (sqrt x) y)) (+ (* 1/27 (* (sqrt (/ 1 x)) (/ 1 y))) (* 1/3 (* (sqrt (/ 1 (pow x 3))) (/ (- (* 1/27 (* (sqrt x) (/ 1 y))) (* 1/9 x)) y))))) 1/9) x)
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/9 binary64) x (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/27 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y) (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(/ (- (+ (* -1/3 (* (sqrt x) y)) (+ (* 1/27 (* (sqrt (/ 1 x)) (/ 1 y))) (* 1/9 (/ (- (* 1/27 (* (sqrt x) (/ 1 y))) (* 1/9 x)) (* (pow x 2) (pow y 2)))))) (+ 1/9 (* -1/3 (* (sqrt (/ 1 (pow x 3))) (/ (- (* 1/27 (* (sqrt x) (/ 1 y))) (* 1/9 x)) y))))) x)
(/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) x (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))) x) x) y) (/.f64 #s(literal 1/9 binary64) y) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/9 binary64) x (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/27 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y)) (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/3 binary64) #s(literal 1/9 binary64))) x)
(* x (- (* 1/9 (pow y 2)) (* 1/81 (/ 1 x))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y #s(literal -1/81 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)))
(neg.f64 (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)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(* -1 (* x (- (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) 1)))
(*.f64 (neg.f64 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 (pow (sqrt -1) 2))))
(*.f64 (*.f64 #s(literal 1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (+ (* -1/3 (* (sqrt x) y)) (+ (* 1/27 (* (sqrt (/ 1 x)) (/ 1 y))) (/ -1/9 (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64))) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y))))) (* 1/3 (* (sqrt (/ 1 x)) (/ (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y)))) y)))) x)) (* -1/3 (* (sqrt x) y))) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) (/.f64 (fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal -1/27 binary64) (sqrt.f64 x) (*.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/9 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))) y)) (neg.f64 x))) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y))))) (* -1 (/ (+ (* -1/3 (* (sqrt x) (/ (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y)))) y))) (* -1/9 (/ (+ (* -1/9 (/ x (pow (sqrt -1) 2))) (* 1/27 (* (sqrt x) (/ 1 y)))) (* (pow y 2) (pow (sqrt -1) 2))))) x))) x)) (* -1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y (/.f64 (fma.f64 (/.f64 #s(literal -1/27 binary64) y) (sqrt.f64 x) (fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1/9 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/9 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))) y) (*.f64 (/.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/9 binary64) (*.f64 (/.f64 (sqrt.f64 x) y) #s(literal 1/27 binary64))) y) y) #s(literal -1/9 binary64))) x))) x)) x)
(* -1 (* x (+ (* -1/9 (pow y 2)) (* 1/81 (/ 1 x)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y #s(literal -1/81 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)
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
(- x 1/9)
(-.f64 x #s(literal 1/9 binary64))
x
(* -1/3 y)
(*.f64 #s(literal -1/3 binary64) y)
(* 1/3 y)
(*.f64 #s(literal 1/3 binary64) y)
(- (* -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))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) x) y)) y)
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) x) y)) y)
(* y (- (+ (* -1/3 (sqrt x)) (/ x y)) (* 1/9 (/ 1 y))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1/9 binary64)) y)) y)
(* y (+ (* -1/3 (sqrt x)) (/ x y)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y)
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal -1/9 binary64) x) y)) y)
(* (pow y 2) (- (* 1/9 x) (* 1/81 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 #s(literal 1/9 binary64) x (/.f64 #s(literal -1/81 binary64) (*.f64 y y))) (*.f64 y y))
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) x) y)) y)
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1/9 binary64)) x) y)) y)
(* -1 (* y (+ (* -1 (/ (- x 1/9) y)) (* 1/3 (sqrt x)))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 (-.f64 x #s(literal 1/9 binary64)) y)) y)
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (sqrt x)))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 x) (/.f64 x y)) y)
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal -1/9 binary64) x) y)) y)

rewrite1.2s (20.2%)

Memory
-146.7MiB live, 181.2MiB allocated; 1.5s collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051262
079256
1277239
21879239
08252239
Stop Event
iter limit
node limit
iter limit
Counts
26 → 311
Calls
Call 1
Inputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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)
#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))))
(*.f64 (*.f64 #s(literal -1/3 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/3 binary64) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))
(/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))
(/.f64 y #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
(-.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))))
#s(approx (- 1 (/ 1 (* x 9))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)))
(/.f64 #s(literal -1 binary64) 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))
#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 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y) #s(literal 1/81 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) x) y) y)
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/9 binary64) x)
(*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) #s(literal -1/9 binary64)) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 x x) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #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) (-.f64 (*.f64 (/.f64 x x) (/.f64 x x)) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64) #s(literal -1/9 binary64)) x) (/.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) x) (/.f64 #s(literal -1/9 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) x))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) #s(literal -1/9 binary64))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/9 binary64) x (*.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x)))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x)) x))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) (-.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) x)))
(/.f64 (fma.f64 #s(literal -1/9 binary64) x (*.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x)) x))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) (-.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) x))
(/.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) #s(literal -1/9 binary64))) (neg.f64 x))
(/.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) #s(literal -1/9 binary64)) x)
(neg.f64 (/.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) #s(literal -1/9 binary64))) x))
(neg.f64 (/.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) #s(literal -1/9 binary64)) (neg.f64 x)))
(fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x) x) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x (*.f64 x (-.f64 x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64))))) (fma.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) y) #s(literal 2 binary64)) x (*.f64 x (-.f64 x (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x) x) (/.f64 #s(literal -1/9 binary64) x))
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(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y))
(*.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)))

eval109.0ms (1.9%)

Memory
24.1MiB live, 73.8MiB allocated; 18ms collecting garbage
Compiler

Compiled 16 555 to 1 672 computations (89.9% saved)

prune29.0ms (0.5%)

Memory
-16.0MiB live, 31.2MiB allocated; 4ms collecting garbage
Pruning

16 alts after pruning (7 fresh and 9 done)

PrunedKeptTotal
New3774381
Fresh134
Picked235
Done167
Total38116397
Accuracy
100.0%
Counts
397 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
64.4%
(-.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))))
64.3%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
64.3%
(-.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))))
71.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
71.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
71.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x)))
71.0%
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
64.3%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (fma.f64 y (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) (/.f64 #s(literal -1/9 binary64) x)))
58.4%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x))
63.2%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
47.4%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x)) (*.f64 x x))))
29.0%
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* (* (* 1/9 x) y) y) 1/81) #s(literal -1/81 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)))
31.4%
#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))
29.0%
#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))
37.4%
#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 1 062 to 464 computations (56.3% saved)

regimes25.0ms (0.4%)

Memory
28.0MiB live, 28.0MiB allocated; 0ms collecting garbage
Counts
30 → 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (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 (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 (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) 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)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* (* (* 1/9 x) y) y) 1/81) #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 #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))) (/ (/ y (sqrt x)) 3)) (fma.f64 y (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) (/.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 #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 (-.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)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (+.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) x) (*.f64 x x)) (/.f64 (*.f64 x (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y x)) (*.f64 x 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 #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 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (/.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 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #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))) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.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 (sqrt.f64 x) #s(literal 3 binary64))))
Outputs
(-.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)))
Calls

3 calls:

8.0ms
y
8.0ms
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
99.8%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)

regimes27.0ms (0.5%)

Memory
-23.3MiB live, 22.8MiB allocated; 3ms collecting garbage
Counts
22 → 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (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 (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 (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) 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)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* (* (* 1/9 x) y) y) 1/81) #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 #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))) (/ (/ y (sqrt x)) 3)) (fma.f64 y (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) (/.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 #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 (-.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)))
Outputs
(-.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)))
Calls

3 calls:

6.0ms
y
6.0ms
x
6.0ms
(-.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
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Counts
21 → 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (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 (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 (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) 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)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* (* (* 1/9 x) y) y) 1/81) #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 #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))) (/ (/ y (sqrt x)) 3)) (fma.f64 y (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) (/.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 #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 (-.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))))
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:

6.0ms
x
6.0ms
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
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)

regimes19.0ms (0.3%)

Memory
-26.1MiB live, 19.8MiB allocated; 3ms collecting garbage
Counts
19 → 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (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 (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 (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) 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)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* (* (* 1/9 x) y) y) 1/81) #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 #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))) (/ (/ y (sqrt x)) 3)) (fma.f64 y (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) (/.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 #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))))
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
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)

regimes15.0ms (0.2%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (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 (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 (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) 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)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (- (* (* (* 1/9 x) y) y) 1/81) #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 #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))) (/ (/ y (sqrt x)) 3)) (fma.f64 y (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) x) (/.f64 #s(literal -1/9 binary64) x)))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
Calls

3 calls:

5.0ms
x
5.0ms
y
4.0ms
(-.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
98.2%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)

regimes5.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (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 (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 (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Counts
11 → 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (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 (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 (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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 (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory
-45.1MiB live, 5.2MiB allocated; 7ms collecting garbage
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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (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 (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 (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 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))
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 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.6%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
9 → 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (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 (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 (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.4%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (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 (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 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (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
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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))))
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (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))
Outputs
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x)))
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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:

3.0ms
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
96.8%3y
88.1%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))))
83.4%2x
Compiler

Compiled 16 to 16 computations (0% saved)

regimes2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Counts
3 → 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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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))))
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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
96.8%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
Outputs
#s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 #s(approx (+ -1/9 (+ (* (* -1/3 (sqrt x)) y) x)) (-.f64 x #s(literal 1/9 binary64))) x))
Calls

3 calls:

1.0ms
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
63.2%1x
63.2%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))))
63.2%1y
Compiler

Compiled 16 to 16 computations (0% saved)

regimes3.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
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:

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
x
1.0ms
y
Results
AccuracySegmentsBranch
29.0%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))))
29.0%1y
29.0%1x
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch4.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
58543942861042.84
18377602409901336.0
Samples
2.0ms32×0valid
Compiler

Compiled 101 to 89 computations (11.9% saved)

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

bsearch3.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
58543942861042.84
18377602409901336.0
Samples
1.0ms16×0valid
Compiler

Compiled 143 to 125 computations (12.6% saved)

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

bsearch9.0ms (0.2%)

Memory
-39.1MiB live, 7.1MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
8.0ms
58543942861042.84
18377602409901336.0
Samples
5.0ms48×0valid
Compiler

Compiled 247 to 212 computations (14.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (69.3% of total)
ival-div: 1.0ms (23.1% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 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)

bsearch3.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
3.0ms
58543942861042.84
18377602409901336.0
Samples
1.0ms16×0valid
Compiler

Compiled 293 to 251 computations (14.3% saved)

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

bsearch16.0ms (0.3%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
9.396322309247133e-6
0.0034621669301381627
Samples
9.0ms128×0valid
Compiler

Compiled 369 to 321 computations (13% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (36.1% of total)
ival-mult: 2.0ms (36.1% of total)
ival-sub: 1.0ms (18% of total)
ival-sqrt: 1.0ms (18% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
9.396322309247133e-6
0.0034621669301381627
Compiler

Compiled 369 to 321 computations (13% saved)

bsearch24.0ms (0.4%)

Memory
23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
3.2044746867439526e+52
1.4612675114965215e+59
5.0ms
-1.2181009871891372e+51
-9.651043716299482e+50
Samples
13.0ms192×0valid
Compiler

Compiled 593 to 494 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 2.0ms (24.2% of total)
ival-sub: 2.0ms (24.2% of total)
ival-mult: 2.0ms (24.2% of total)
ival-sqrt: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.4%)

Memory
-42.7MiB live, 2.6MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.2044746867439526e+52
1.4612675114965215e+59
19.0ms
-1.2181009871891372e+51
-9.651043716299482e+50
Compiler

Compiled 581 to 485 computations (16.5% saved)

simplify26.0ms (0.4%)

Memory
29.8MiB live, 29.8MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095531
1146531
2229531
3355531
4450531
5528531
6698531
7713531
8723531
Stop Event
saturated
Calls
Call 1
Inputs
(-.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)))
(-.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 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))))
(if (<=.f64 x #s(literal 2000000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(if (<=.f64 x #s(literal 2000000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 15000000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 15000000000000000 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 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 7839866231326559/2305843009213693952 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 7839866231326559/2305843009213693952 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 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))))
(if (<=.f64 y #s(literal -999999999999999993220948674361627976461708441944064 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 3049999999999999877409324563981895520927515822114815868928 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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 (<=.f64 y #s(literal -999999999999999993220948674361627976461708441944064 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 3049999999999999877409324563981895520927515822114815868928 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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 (sqrt x)) 3)) (/.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 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 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 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))))
(if (<=.f64 x #s(literal 2000000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(if (<=.f64 x #s(literal 2000000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 3 binary64)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 15000000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (+.f64 #s(literal -1/9 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y x)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 15000000000000000 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 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 15000000000000000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 7839866231326559/2305843009213693952 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 7839866231326559/2305843009213693952 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 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 7839866231326559/2305843009213693952 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))))
(if (<=.f64 y #s(literal -999999999999999993220948674361627976461708441944064 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 #s(approx (/ y 3) (*.f64 #s(literal 1/3 binary64) y)) (sqrt.f64 x))) (if (<=.f64 y #s(literal 3049999999999999877409324563981895520927515822114815868928 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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 (<=.f64 y #s(literal -999999999999999993220948674361627976461708441944064 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 3049999999999999877409324563981895520927515822114815868928 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.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 -999999999999999993220948674361627976461708441944064 binary64)) (not (<=.f64 y #s(literal 3049999999999999877409324563981895520927515822114815868928 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))) (/ (/ y (sqrt x)) 3)) (/.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 (sqrt x)) 3)) (/.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 (/ 1 (* x 9))) (/ (/ y (sqrt x)) 3)) (/.f64 #s(approx (+ (* -1/3 (* (sqrt x) y)) -1/9) #s(literal -1/9 binary64)) x))

derivations709.0ms (12.1%)

Memory
-30.1MiB live, 552.3MiB allocated; 118ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0200875
1613790
22303771
08687718
01239
01939
16433
256033
0822433
055133
1122133
2297132
3771132
42139132
55212132
67638132
08414125
087283
1227281
2781277
32496277
45775277
08177260
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 531 to 100 computations (81.2% saved)

preprocess102.0ms (1.7%)

Memory
9.5MiB live, 149.4MiB allocated; 13ms collecting garbage
Compiler

Compiled 1 118 to 248 computations (77.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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